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MPhil/PhD Mathematics

  • Graduate research
  • Department of Mathematics
  • Application code G1ZM
  • Starting 2024
  • Home full-time: Open
  • Overseas full-time: Open
  • Location: Houghton Street, London

This programme offers the chance to undertake a substantial piece of work that is worthy of publication and which makes an original contribution to the field of mathematics within our four broad disciplines – discrete mathematics and algorithms, financial mathematics and control theory, game theory, and operations research. You will begin on the MPhil, and will need to meet certain requirements to be upgraded to PhD status.

You have a plethora of topics to choose from including combinatorics, combinatorial optimisation, computational learning theory, control theory, financial mathematics, game theory, graph theory, integer programming, mechanism design, polyhedral combinatorics, probabilistic analysis, theory of computation and algorithms, and in the applications of mathematics in areas such as inspections, network optimisation, telecommunications, transportation, and economics.

Over the course of the years, the Department organises a number of personal development workshops for PhD students, designed to provide tailored support for specific areas of interest, such as careers, impact, and final year processes. Crucially, we have close ties with other departments at LSE, such as Statistics, Finance, Economics and Management, and we are an integral part of the mathematical community of the University of London.

All research students in the Department are provided with some funding each year to encourage and support their research activities, such as conference attendance and purchasing books and technology. Additional research funds are also available, upon application.

Programme details

For more information about tuition fees and entry requirements, see the fees and funding and assessing your application sections.

Entry requirements

Minimum entry requirements for mphil/phd mathematics.

Merit in a taught master's degree (or equivalent) in a related discipline and a 2:1 degree or equivalent in mathematics. 

Competition for places at the School is high. This means that even if you meet our minimum entry requirement, this does not guarantee you an offer of admission. 

If you have studied or are studying outside of the UK then have a look at our  Information for International Students  to find out the entry requirements that apply to you.

LSE values diversity and strives to promote equality at all levels. We strongly encourage applications from women, ethnic minorities, and members of other groups under-represented in higher education.

Assessing your application

Making an application.

We carefully consider each application on an individual basis, taking into account all the information presented on your application form, including your:

- academic achievement (including existing and pending qualifications) - CV - statement of academic purpose - outline research proposal - sample of written work - references

In addition to the general guidelines on application documents available  here , you can find specific guidelines for some of the application documents required as part of your application for the MPhil/PhD Mathematics programme below.  

Academic Achievement Provide detailed transcripts, with individual marks for all courses on your undergraduate and postgraduate degree programmes you have completed, and any available/provisional marks obtained in your current degree programme.

CV - Provide details of your education history. - Provide details of any employment history or other professional experience, including internships or volunteering activities. - Mention any relevant prior research experience, such as thesis work, research projects.    - If relevant, mention any career breaks or career changes, for example due to caring responsibilities.

Statement of Academic Purpose (1 page) - Explain your motivation for doing a PhD. - Explain your current career goals and aspirations and clarify how the PhD programme might help you realise them.  

Outline Research Proposal (1-2 pages) Many applicants will have little or no prior experience of research and therefore we do not expect a fully developed research proposal. The following is a recommendation of what to address, in a concise manner, in the research proposal. - Explain which overall research area you are interested in and explain why.  - Provide an example of one or two research papers that you have read or open problems you have heard about (in your proposed research area) and explain why you found them interesting. - Clarify who you see as potential supervisors and explain why.  - Explain how your training and skills are suitable for conducting research in your area of interest. For example, provide specific examples of related courses you have taken, and any research, internship, or work experiences that are relevant to your research area of interest. - If applicable, describe how any dissertation work from your BSc or MSc is relevant to your planned PhD research (be aware that this research will most likely be different).

Sample of Written Work (at least 5 pages) Submit something that showcases your mathematical writing. This could for example be a thesis, a project report, or some detailed exercise solutions. We like to see a writing sample that contains both mathematical details and plain text in which you discuss/interpret/explain the mathematical results. You can submit more than one writing sample if you only have short pieces of written work.

References You will need to nominate two referees. Academic referees are preferred, i.e., people who have taught you at university level.

If you can find a referee who can specifically comment on your research potential and your academic background in your chosen research area, that would be helpful. If you have any previous research experience, you could ask supervisors/project partners for a reference letter. An academic reference from your current degree programme where you already took exams are usually most helpful. If you have not taken any exams in your current programme yet, you can also ask for reference letters from previous degrees.

The referees will be asked to provide a reference letter and answer a selection of multiple-choice questions in which they will need to provide an assessment of your academic performance/potential etc. and research potential. --------------

Completed applications are sent to the Department after they are processed by the Graduate Admissions Office. In the Department, the numbers and quality of competing applications and the availability of an appropriate supervisor are considered. If your application is shortlisted for consideration, an interview will be arranged with the appropriate members of staff by telephone or video conferencing software. Once all interviews have been conducted, the Department will decide on who to accept and who to offer funding. If your application is received before the deadline, we aim to notify you about the outcome by the end of Winter Term.

You may also have to provide evidence of your English proficiency. You do not need to provide this at the time of your application to LSE, but we recommend that you do see our  English language requirements  for further information.

When to apply

The application deadline for this programme is 23 May 2024 . However, to be considered for any LSE funding opportunity, you must have submitted your application and all supporting documents by the funding deadline. See the fees and funding section for more details.

Fees and funding

Every research student is charged a fee in line with the fee structure for their programme. The fee covers registration and examination fees payable to the School, lectures, classes and individual supervision, lectures given at other colleges under intercollegiate arrangements and, under current arrangements, membership of the Students' Union. It does not cover living costs or travel or fieldwork.

Tuition fees 2024/25 for MPhil/PhD Mathematics

Home students: £4,829 for the first year (provisional) Overseas students: £22,632 for the first year

The fee is likely to rise over subsequent years of the programme. The School charges home research students in line with the level of fee that the Research Councils recommend. The fees for overseas students are likely to rise in line with the assumed percentage increase in pay costs (ie, 4 per cent per annum).

The Table of Fees shows the latest tuition amounts for all programmes offered by the School.

The amount of tuition fees you will need to pay, and any financial support you are eligible for, will depend on whether you are classified as a home or overseas student, otherwise known as your fee status. LSE assesses your fee status based on guidelines provided by the Department of Education.

Further information about fee status classification.

Scholarships, studentships and other funding

The School recognises that the  cost of living in London  may be higher than in your home town or country, and we provide generous scholarships each year to home and overseas students.

This programme is eligible for  LSE PhD Studentships and  Economic and Social Research Council (ESRC) funding . Selection for the PhD Studentships and ESRC funding is based on receipt of an application for a place – including all ancillary documents, before the funding deadline.

Funding deadline for LSE PhD Studentships: 15 January 2024

In addition to our needs-based awards, LSE also makes available scholarships for students from specific regions of the world and awards for students studying specific subject areas.  Find out more about financial support.

In addition, students on this programme are eligible for the Department of Mathematics' PhD Prize for Outstanding Academic Performance , which is an annual award for the best PhD performance from a student completing in the previous academic year.

External funding 

There may be other funding opportunities available through other organisations or governments and we recommend you investigate these options as well. 

Further information

Fees and funding opportunities

Information for international students

LSE is an international community, with over 140 nationalities represented amongst its student body. We celebrate this diversity through everything we do.  

If you are applying to LSE from outside of the UK then take a look at our Information for International students . 

1) Take a note of the UK qualifications we require for your programme of interest (found in the ‘Entry requirements’ section of this page). 

2) Go to the International Students section of our website. 

3) Select your country. 

4) Select ‘Graduate entry requirements’ and scroll until you arrive at the information about your local/national qualification. Compare the stated UK entry requirements listed on this page with the local/national entry requirement listed on your country specific page.

Programme structure and courses

In addition to progressing with your research, you are expected to take the listed training and transferable skills courses. You may take courses in addition to those listed and should discuss this with your supervisor. At the end of your second year (full-time), you will need to satisfy certain requirements, and if you meet these, will be retroactively upgraded to PhD status.

Training courses – Compulsory (not examined) Courses designed for research in Mathematics need to be chosen in consultation with your lead supervisor. Discrete Mathematics and Algorithms, Operations Research and Game Theory students will attend four courses organised by the London Taught Course Centre .

There are separate arrangements for students in Financial Mathematics, where courses are provided by the London Graduate School in Mathematical Finance . You also have the option of attending or auditing LSE Taught Masters modules, where appropriate.

Transferable skills courses – Compulsory (not examined) Mathematics: Seminar on Combinatorics, Games and Optimisation Research Student Seminar – you must attend and make presentations

Second year

Transferable skills courses – Compulsory (not examined) Mathematics Seminar Research Student Seminar - you must attend and make presentations.

Transferable skills courses – Compulsory (not examined) Mathematics Seminar Research Student Seminar - you must attend and make presentations.

Fourth year

Transferable skills courses– Compulsory (not examined) Mathematics Seminar Research Student Seminar - you must attend and make presentations.

For the most up-to-date list of optional courses please visit the relevant School Calendar page .  

You must note, however, that while care has been taken to ensure that this information is up to date and correct, a change of circumstances since publication may cause the School to change, suspend or withdraw a course or programme of study, or change the fees that apply to it. The School will always notify the affected parties as early as practicably possible and propose any viable and relevant alternative options. Note that the School will neither be liable for information that after publication becomes inaccurate or irrelevant, nor for changing, suspending or withdrawing a course or programme of study due to events outside of its control, which includes but is not limited to a lack of demand for a course or programme of study, industrial action, fire, flood or other environmental or physical damage to premises.  

You must also note that places are limited on some courses and/or subject to specific entry requirements. The School cannot therefore guarantee you a place. Please note that changes to programmes and courses can sometimes occur after you have accepted your offer of a place. These changes are normally made in light of developments in the discipline or path-breaking research, or on the basis of student feedback. Changes can take the form of altered course content, teaching formats or assessment modes. Any such changes are intended to enhance the student learning experience. You should visit the School’s  Calendar , or contact the relevant academic department, for information on the availability and/or content of courses and programmes of study. Certain substantive changes will be listed on the  updated graduate course and programme information page.

Supervision, progression and assessment

Supervision.

Supervisors are selected during the application process, where we take into account the information and preferences you mention in your application. You will be assigned to:

-  One or two principal supervisor(s) with requisite knowledge in your chosen field. Most of your day-to-day supervision will be with the principal supervisor(s). If the research project or your interests shift during your time in the Department, it is possible to change principal supervisor(s). - If there is only one principal supervisor, an appropriate second supervisor will be appointed. There will always be a principal supervisor from the Mathematics Department. Where appropriate, a second or joint supervisor may be appointed from another department or institution.

Progression and assessment

You are initially registered for the MPhil, and will be able to upgrade to PhD registration during your second year, dependent on satisfactory progress. Progress is assessed regularly by your supervisors, in consultation with the Doctoral Programme Director, on the basis of the extent to which the agreed research goals have been achieved. Any upgrade is dependent on the successful completion of a Major Review, the date of which is determined by the Doctoral Programme Director in consultation with the lead supervisor.

By the end of your first year you will be required to present a more detailed project proposal. The proposal, which should illustrate your command of the theoretical and empirical literature related to your topic, will be a clear statement of the theoretical and methodological approach you will take. It will include a draft outline and work plan, which should identify any periods of fieldwork necessary to your research. This should demonstrate the coherence and feasibility of the proposed research and thesis.

Study facilities

Students are provided with their own workspace and Windows PC within the Department of Mathematics’ PhD study room.  This area was recently renovated, and has been modernised to become a professional, purposeful, and relaxed work environment. Students are thus offered a supportive environment within a community of scholars and are well-placed to pursue a career building on their research accomplishments. 

In addition to the space provided in Columbia House, a dedicated Postgraduate Common Room is available to students in 32 Lincoln's Inn Fields.  Students will also find the  PhD Academy  useful, a dedicated space and services hub for doctoral candidates.

Students will have access to the comprehensive facilities of the  LSE Library  and to the libraries of other colleges of the University of London. They will also benefit from the IT and other facilities available at the School.

Student support and resources

We’re here to help and support you throughout your time at LSE, whether you need help with your academic studies, support with your welfare and wellbeing or simply to develop on a personal and professional level.

Whatever your query, big or small, there are a range of people you can speak to who will be happy to help.  

Department librarians   – they will be able to help you navigate the library and maximise its resources during your studies. 

Accommodation service  – they can offer advice on living in halls and offer guidance on private accommodation related queries.

Class teachers and seminar leaders  – they will be able to assist with queries relating to specific courses. 

Disability and Wellbeing Service  – they are experts in long-term health conditions, sensory impairments, mental health and specific learning difficulties. They offer confidential and free services such as  student counselling,  a  peer support scheme  and arranging  exam adjustments.  They run groups and workshops.  

IT help  – support is available 24 hours a day to assist with all your technology queries.   

LSE Faith Centre  – this is home to LSE's diverse religious activities and transformational interfaith leadership programmes, as well as a space for worship, prayer and quiet reflection. It includes Islamic prayer rooms and a main space for worship. It is also a space for wellbeing classes on campus and is open to all students and staff from all faiths and none.   

Language Centre  – the Centre specialises in offering language courses targeted to the needs of students and practitioners in the social sciences. We offer pre-course English for Academic Purposes programmes; English language support during your studies; modern language courses in nine languages; proofreading, translation and document authentication; and language learning community activities.

LSE Careers  ­ – with the help of LSE Careers, you can make the most of the opportunities that London has to offer. Whatever your career plans, LSE Careers will work with you, connecting you to opportunities and experiences from internships and volunteering to networking events and employer and alumni insights. 

LSE Library   –   founded in 1896, the British Library of Political and Economic Science is the major international library of the social sciences. It stays open late, has lots of excellent resources and is a great place to study. As an LSE student, you’ll have access to a number of other academic libraries in Greater London and nationwide. 

LSE LIFE  – this is where you should go to develop skills you’ll use as a student and beyond. The centre runs talks and workshops on skills you’ll find useful in the classroom; offers one-to-one sessions with study advisers who can help you with reading, making notes, writing, research and exam revision; and provides drop-in sessions for academic and personal support. (See ‘Teaching and assessment’). 

LSE Students’ Union (LSESU)  – they offer academic, personal and financial advice and funding.  

PhD Academy   – this is available for PhD students, wherever they are, to take part in interdisciplinary events and other professional development activities and access all the services related to their registration. 

Sardinia House Dental Practice   – this   offers discounted private dental services to LSE students.  

St Philips Medical Centre  – based in Pethwick-Lawrence House, the Centre provides NHS Primary Care services to registered patients.

Student Services Centre  – our staff here can answer general queries and can point you in the direction of other LSE services.  

Student advisers   – we have a  Deputy Head of Student Services (Advice and Policy)  and an  Adviser to Women Students  who can help with academic and pastoral matters.

Student life

As a student at LSE you’ll be based at our central London campus. Find out what our campus and London have to offer you on academic, social and career perspective. 

Student societies and activities

Your time at LSE is not just about studying, there are plenty of ways to get involved in  extracurricular activities . From joining one of over 200 societies, or starting your own society, to volunteering for a local charity, or attending a public lecture by a world-leading figure, there is a lot to choose from. 

The campus 

LSE is based on one  campus  in the centre of London. Despite the busy feel of the surrounding area, many of the streets around campus are pedestrianised, meaning the campus feels like a real community. 

Life in London 

London is an exciting, vibrant and colourful city. It's also an academic city, with more than 400,000 university students. Whatever your interests or appetite you will find something to suit your palate and pocket in this truly international capital. Make the most of career opportunities and social activities, theatre, museums, music and more. 

Want to find out more? Read why we think  London is a fantastic student city , find out about  key sights, places and experiences for new Londoners . Don't fear, London doesn't have to be super expensive: hear about  London on a budget . 

Student stories

To read all our Alumni Stories,  see our webpage here .

Quick Careers Facts for the Department of Mathematics

Median salary of our PG students 15 months after graduating: £39,500

  • Financial and Professional Services              
  • Information, Digital Technology and Data            
  • Accounting and Auditing              
  • Real Estate, Environment and Energy 
  • Advertising, Marketing, PR, Media, Entertainment, Publishing and Journalism

Top 5 sectors our students work in:

The data was collected as part of the Graduate Outcomes survey, which is administered by the Higher Education Statistics Agency (HESA). Graduates from 2020-21 were the fourth group to be asked to respond to Graduate Outcomes. Median salaries are calculated for respondents who are paid in UK pounds sterling and who were working in full-time employment.

Students who successfully complete the programme often embark on an academic career. 

Further information on graduate destinations for this programme

Support for your career

Many leading organisations give careers presentations at the School during the year, and LSE Careers has a wide range of resources available to assist students in their job search. Find out more about the  support available to students through LSE Careers .

Frequently Asked Questions

Can i or must i teach as a mphil/phd student in the department.

All mathematics MPhil/PhD students are usually expected to undertake some class teaching for the Department. You will be paid separately for this. Further details will be provided on your arrival. 

Will I receive any additional funding to support conference attendance, book purchases, etc.?

Each registered PhD student in the Department is entitled to claim up to £500 per academic year towards their research expenses relating directly to your studies, such as the purchase of books or conference attendance. All claims must be accompanied by full receipts. 

Can I apply to start in the Winter Term (January) or Spring Term (April)?

Under execptional circumstances, starting in January may be permissable.  Starting in the Spring Term is not permitted.

I am already enrolled in a PhD programme at another university and I would like to transfer to your PhD programme. How do I do that?

LSE does not accept transfer of credits. All MPhil/PhD applicants, regardless of previous academic experience, are required to complete a formal application. Previous research will be considered, but all students are initially registered as MPhil students by the School, are upgraded to PhD status according to the Department's standard policy and are required to fulfil the School's minimum registration requirements.

Can I apply to study part-time?

We will consider applications for part-time registrations in the PhD programme, subject to visa regulations. Applicants with personal circumstances such as caring responsibilities who may otherwise not pursue a PhD may consider this route. We emphasise that studying for a PhD requires a serious commitment of regular periods of time and concentration. Pursuing a PhD while holding full-time employment is discouraged.

We would need to see evidence that an applicant:

  • Would be available to participate in activities that are essential to becoming an independent researcher (e.g. attend seminars, go to conferences, follow taught courses in their first year(s), etc.)
  • Can find mutual times to work with their proposed supervisor
  • Can spend sufficient time on their PhD research

Find out more about LSE

Discover more about being an LSE student - meet us in a city near you, visit our campus or experience LSE from home. 

Experience LSE from home

Webinars, videos, student blogs and student video diaries will help you gain an insight into what it's like to study at LSE for those that aren't able to make it to our campus.  Experience LSE from home . 

Come on a guided campus tour, attend an undergraduate open day, drop into our office or go on a self-guided tour.  Find out about opportunities to visit LSE . 

LSE visits you

Student Marketing, Recruitment and Study Abroad travels throughout the UK and around the world to meet with prospective students. We visit schools, attend education fairs and also hold Destination LSE events: pre-departure events for offer holders.  Find details on LSE's upcoming visits . 

How to apply

Virtual Graduate Open Day

Register your interest

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International Programmes 2023/2024

phd mathematics abroad

Berlin Mathematical School – PhD Programme Berlin Mathematical School – PhD Programme

Technische universität berlin • berlin.

  • Course details
  • Costs / Funding
  • Requirements / Registration
  • About the university

Freie Universität Berlin, Institute of Mathematics Humboldt-Universität zu Berlin, Institute of Mathematics

Courses are held in English. Participants can choose to write the dissertation in English or in German.

The BMS offers assistance to those international students with little or no German language skills by covering the costs of one preparatory language course in German as a Foreign Language ("Deutsch als Fremdsprache", also known as "DaF").

The first-round application deadline of 1 December 2023 is for - Phase I applicants requiring admission with a scholarship and - Phase II applicants who want to start in April, May, June or July 2024.

The second-round application deadline of 1 April 2024 is for - Phase I applicants requiring admission only and - Phase II applicants who want to start in August, September or October 2024.

The Berlin Mathematical School (BMS) is the joint doctoral programme of the three Berlin universities and the graduate school of the Cluster of Excellence MATH+. Areas of expertise include:

  • Differential geometry, global analysis and mathematical physics
  • Algebraic and arithmetic geometry, number theory
  • Stochastics and mathematical finance
  • Discrete mathematics and optimisation
  • Geometry, topology and visualisation
  • Numerical analysis and scientific computing
  • Applied analysis and differential equations
  • Mathematics of data science

The BMS programme is divided into two phases: Phase I (four semesters) leads students from the Bachelor's degree to the BMS Qualifying Exam. Each student is registered as a regular student at one of the three universities and has a Phase I adviser at the same university. Phase I requires students to successfully complete five basic courses and at least two advanced courses, including a seminar. The BMS basic course programme is held in English and is coordinated between the three universities. Students are expected to attend the MATH+ Friday Colloquia regularly. At the end of Phase I, students have to pass an oral "Qualifying Exam" in order to continue on to Phase II. Phase I students must also use Phase I to find a supervisor for their dissertation research in Phase II. Attending more than the one mandatory seminar is a good way to get to know professors and their research, to find out what the open questions in the field are and whether a professor is willing to take on a new PhD student. Every student has the possibility to earn an MSc at the end of Phase I. Phase II is the research phase of the BMS PhD programme. BMS doctoral candidates should take advantage of the many opportunities offered by Berlin's mathematics research environment, including: DFG Research Training Groups (RTG), International Max Planck Research Schools (IMPRS), etc.

  • The complete list of units
  • A list of classes for each semester  
  • A timeline of the PhD process

MATH+ Fridays – Kovalevskaya Colloquium Each semester, MATH+ designates one of the MATH+ Friday colloquia as the Sonia Kovalevskaya Colloquium . This lecture features female mathematicians who are invited to share their experiences as women in the field of mathematics. The lecture is preceded by an informal lunch for female students. This gives female students the opportunity to talk to an outstanding female mathematician about career paths and to exchange information about their experiences.

Mentoring The BMS mentoring programme was developed to provide individual guidance to BMS students in both their academic and personal development.

Soft Skills Seminars The BMS offers soft skills seminars in order to help students develop the necessary skills for a career in mathematics, in academia or in the private sector.

Support for Students with Children BMS provides additional support for students with children and students who are pregnant.

phd mathematics abroad

  • International guest lecturers
  • Language training provided
  • Training in intercultural skills
  • Study trips

MATH+ Fridays The MATH+ Friday colloquium (MATH+ Friday) is a lecture series given by distinguished mathematicians from all over the world. Each speaker explains how their research fits into the mathematical landscape in general, remarks on open problems, and demonstrates applications and analogies in other fields of mathematics and beyond. The aim is to offer a broad overview of a specific research area to enable everyone in the audience to grasp the main concepts involved.

Phase I students can participate in the exchange programmes offered by Freie Universität Berlin (FU) , Humboldt-Universität zu Berlin (HU) or Technische Universität Berlin (TU) . Research visits can be arranged individually for Phase II students.

There are teaching opportunities at all three participating universities. Depending on language skills and mathematical background, teaching experience can be gained as a tutor in undergraduate or graduate courses.

  • DFG (e.g. Research Training Groups)

FU Berlin: 237.89 EUR HU Berlin: 240.64 EUR TU Berlin: 231.89 EUR

Please have a look at our BMS Guidebook, chapter 5.7 "Cost of Living" (page 32) at: http://www.math-berlin.de/images/guidebook.pdf

The BMS offers scholarships for both Phase I and Phase II students. Scholarships are funded under the "Excellence Strategy" of the German Science Foundation, DFG, and by the three Berlin universities: FU Berlin, HU Berlin and TU Berlin. Phase I scholarships are usually granted for 18 months (extendable by six months), and amount to 1,000 EUR per month, tax free (no insurances included). Phase II scholarships are typically granted for 24 months (extendable by 12 months), and usually amount to 1,600 EUR, tax free (no insurances included). For further information, go to: https://www.math-berlin.de/students/scholarships Extra childcare funds are reserved for BMS students with children. For further information, please see: https://www.math-berlin.de/students/resources/for-student-parents

Bachelor's degree (or equivalent) in mathematics (or equivalent) for Phase I , Master's degree (or equivalent) in mathematics (or equivalent) for Phase II

Application information

First, download our BMS PhD application guidelines and read them thoroughly before beginning the online application process.

Applicants must provide proof of their English skills with one of the following certificates:

  • TOEFL minimum of 550 (paper-based test), 213 (computer-based), 79 (Internet-based)
  • IELTS minimum of 6.5
  • CPE minimum level C
  • CAE minimum level C

https://www.math-berlin.de/application/faqs/standard-tests

BMS online application portal

TU Berlin FU Berlin HU Berlin

Due to various factors, including the increasing number of immigrants, international students, as well as the increase in mobility of the population in general, the housing situation in Berlin has become very competitive. Since there is no campus accommodation in Berlin, we recommend beginning your search for private accommodation as early as possible!

Affordable accommodation will relieve the strain on a student budget enormously. Rent is the largest monthly expense for students, on average about 450 EUR per month for a single room. However, the amount of rent depends mainly on the type of accommodation and where it is located.

Student Accommodation for BMS Students Each year, ten rooms in the student village “ Studentendorf Schlachtensee ” are offered exclusively to new BMS students. Each room is fully furnished with a bed, bedlinen, cupboards, shelves, a desk and a chair. Shared bathrooms and kitchens are fully equipped. Available on-site is a free gym, music rooms, study rooms, a launderette, a supermarket and a student-run bar. The rental period is fixed for one year and starts on 1 September and ends on 31 August. This offer is available on a "first come, first serve" basis.

For more information, please have a look at our BMS Guidebook , chapter 5.6 "Accommodation" (from page 24 to 26).

Students who receive DAAD scholarships can apply for student accommodation via the DAAD .

FU Berlin:  http://www.fu-berlin.de/en/sites/career/index.html HU Berlin: https://www.hu-berlin.de/de/career-center TU Berlin:  https://www.tu.berlin/en/careerservice/services/

Once a year, the BMS offers a "Meet the BMS Alumni" event or a "Career Day" for our BMS students.

  • Buddy programme
  • Welcome event
  • Cultural and linguistic preparation

The One-Stop Office supports BMS students in various administrative issues ranging from travel, visa, housing, and bureaucratic issues to language courses, child care, and music and sports opportunities. In September, around four weeks before the first semester begins, the BMS offers a German as a Foreign Language course to support those international students with little or no German language skills. In October, one week before the winter semester lectures begin, the "BMS Orientation" takes place. This five-day schedule of activities is designed to welcome new students to the BMS and to provide an opportunity for the One-Stop Office staff to offer them assistance with university registration. It also aims to provide the new students with the opportunity to learn about their new place of study and for them to get to know the other students. Orientation activities also include intercultural training and a walking tour of Berlin.

Technische Universität Berlin

Content Bild

Information about the three Berlin universities FU, HU & TU:

The FU Berlin has approximately 33,500 undergraduate students in 173 degree programmes (as of winter semester 2022/23). Of these, 13% of students in Bachelor's degree programmes and 29% of students in Master's degree programmes come from outside Germany, as do 38% of its 4,000 doctoral students (as of 2022). The university is made up of eleven departments, one joint medical school with HU Berlin and three central institutes. Most of its facilities are located in the leafy residential district of Dahlem, south-west of Berlin. Institute of Mathematics

Humboldt-Universität zu Berlin (HU Berlin) , founded in 1810 by the liberal Prussian educational reformer and linguist Wilhelm von Humboldt, is Berlin's oldest university. The foundation concept put forward by Humboldt envisaged a "universitas litterarum", which would achieve a unity of teaching and research as well as provide students with an all-round humanist education. Today HU Berlin is a public university offering more than 170 degree courses to over 36,500 students (excluding Charité), 58% of whom are female students and 15% of whom are international (as of winter semester 2022/23). The university is made up of nine faculties, five central institutes, five central units and nine interdisciplinary centres. The natural science institutes of the HU are located at Adlershof in the south of Berlin. Institute of Mathematics

Technische Universität Berlin (TU Berlin) was founded in 1879 as the result of a merger between the School of Architecture (est. 1799) and the Academy of Trade (est. 1821). It was closed at the end of World War II and re-established under its current name in 1946. Although it was Germany's first technical university, its educational mission was reallocated post-WWII to include an emphasis on "universal education". By including the humanities in its compendium of subjects, the TU became the first technical university in Germany to present a humanistic element in its scholastic profile. TU Berlin has approximately 35,000 students, 34% of whom are female and 28% of whom are international (as of winter semester 2022/23). The seven faculties offer more than 100 degree courses, and the main campus is located in the district of Charlottenburg. Institute of Mathematics

University location

Berlin is Germany's capital city and a major centre of European politics, culture, media and science. It also serves as a continental hub for air and rail transport. The city's economy is primarily based on the service sector, which encompasses a diverse range of creative industries, media corporations, environmental services, congress, and convention venues.

Berlin is the third most visited tourist destination in the EU and home to world-renowned universities, research institutes, sporting events, orchestras, museums and media personalities. Its urban landscape and historical legacy have also made it a popular setting for international film productions. Recognised for its festivals, contemporary architecture, nightlife and avant-garde arts, Berlin has evolved into a focal point for individuals attracted by its liberal lifestyle, modern "zeitgeist" and low-cost living. It is home to 3.7 million people from over 190 countries.

First documented in the 13th century, Berlin was successively the capital of the Kingdom of Prussia (1701-1918), the German empire (1871-1918), the Weimar Republic (1919-1932) and the Third Reich (1933-1945). After World War II the city was divided: East Berlin became the capital of the GDR (East Germany) while West Berlin remained a West German enclave surrounded by the Berlin Wall from 1961-1989. It was possible for people from the west to go to the east, but only through strictly controlled checkpoints. For most East Germans, travel to West Berlin or West Germany was no longer possible. In 1971, the “Four Power Agreement on Berlin” (drawn up by the wartime allies France, UK, USA and USSR) re-established ties between the two parts of Berlin, improved travel and communications, and brought numerous improvements for the residents of the Western Sectors.

In 1989, pressure from the East German population brought the transition to a parliamentary democracy in East Germany. When the Berlin Wall fell on 9 November 1989, its citizens gained free access to the west. In Friedrichshain, a 1.3 km stretch of the Berlin Wall, known as the East Side Gallery, has been preserved as an international memorial for freedom. On 3 October 1990, East and West Germany reunited and became the Federal Republic of Germany. Berlin became the German capital in accordance with the unification treaty. The German parliament and government moved from Bonn back to Berlin in 1999.

Berlin is divided into twelve districts (Bezirke), each district is subdivided into a number of sub-districts (Ortsteile), and Berlin consists of 95 such sub-districts. In the past these areas were independent towns, villages and rural communities, and some of the subdistricts in Berlin are now known as a “Kiez”. A term with a positive connotation, the word is of Slavonic origin and refers to a settlement. Its inhabitants often identify with the “Kiez” they live in. A Berliner “Kiez” usually consists mainly of pre-war buildings and upholds its own commercial and cultural infrastructure. Some of the more well-known ones are the “Akazienkiez” in Schöneberg, the “Körnerkiez” in Neukölln and the “Kollwitzkiez” in Prenzlauer Berg.

Berlin Tourist Information City Information in English

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phd mathematics abroad

  • Doing a PhD in Mathematics
  • Doing a PhD

What Does a PhD in Maths Involve?

Maths is a vast subject, both in breadth and in depth. As such, there’s a significant number of different areas you can research as a math student. These areas usually fall into one of three categories: pure mathematics, applied mathematics or statistics. Some examples of topics you can research are:

  • Number theory
  • Numerical analysis
  • String theory
  • Random matrix theory
  • Graph theory
  • Quantum mechanics
  • Statistical forecasting
  • Matroid theory
  • Control theory

Besides this, because maths focuses on addressing interdisciplinary real-world problems, you may work and collaborate with other STEM researchers. For example, your research topic may relate to:

  • Biomechanics and transport processes
  • Evidence-based medicine
  • Fluid dynamics
  • Financial mathematics
  • Machine learning
  • Theoretical and Computational Optimisation

What you do day-to-day will largely depend on your specific research topic. However, you’ll likely:

  • Continually read literature – This will be to help develop your knowledge and identify current gaps in the overall body of knowledge surrounding your research topic.
  • Undertake research specific to your topic – This can include defining ideas, proving theorems and identifying relationships between models.
  • Collect and analyse data – This could comprise developing computational models, running simulations and interpreting forecasts etc.
  • Liaise with others – This could take many forms. For example, you may work shoulder-to-shoulder with individuals from different disciplines supporting your research, e.g. Computer scientists for machine learning-based projects. Alternatively, you may need frequent input from those who supplied the data for your research, e.g. Financial institutions or biological research colleagues.
  • Attend a wide range of lectures, seminars and events.

Browse PhD Opportunities in Mathematics

Application of artificial intelligence to multiphysics problems in materials design, study of the human-vehicle interactions by a high-end dynamic driving simulator, physical layer algorithm design in 6g non-terrestrial communications, machine learning for autonomous robot exploration, detecting subtle but clinically significant cognitive change in an ageing population, how long does it take to get a phd in maths.

The average programme duration for a mathematics PhD in the UK is 3 to 4 years for a full-time studying. Although not all universities offer part-time maths PhD programmes, those that do have a typical programme duration of 5 to 7 years.

Again, although the exact arrangement will depend on the university, most maths doctorates will require you to first register for an MPhil . At the end of your first year, your supervisor will assess your progress to decide whether you should be registered for a PhD.

Additional Learning Modules

Best Universities for Maths PhD UK

Some Mathematics departments will require you to enrol on to taught modules as part of your programme. These are to help improve your knowledge and understanding of broader subjects within your field, for example, Fourier Analysis, Differential Geometry and Riemann Surfaces. Even if taught modules aren’t compulsory in several universities, your supervisor will still encourage you to attend them for your development.

Most UK universities will also have access to specialised mathematical training courses. The most common of these include Pure Mathematics courses hosted by Mathematics Access Grid Conferencing ( MAGIC ) and London Taught Course Centre ( LTCC ) and Statistics courses hosted by Academy for PhD Training in Statistics ( APTS ).

What Are the Typical Entry Requirements for A PhD in Maths?

In the UK, the typical entry requirements for a Maths PhD is an upper second-class (2:1) Master’s degree (or international equivalent) in Mathematics or Statistics [1] .

However, there is some variation on this. From writing, the lowest entry requirement is an upper second-class (2:1) Bachelor’s degree in any math-related subject. The highest entry requirement is a first-class (1st) honours Master’s degree in a Mathematics or Statistics degree only.

It’s worth noting if you’re applying to a position which comes with funding provided directly by the Department, the entry requirements will usually be on the higher side because of their competitiveness.

In terms of English Language requirements, most mathematics departments require at least an overall IELTS (International English Language Testing System) score of 6.5, with no less than 6.0 in each individual subtest.

Tips to Consider when Making Your Application

When applying to any mathematics PhD, you’ll be expected to have a good understanding of both your subject field and the specific research topic you are applying to. To help show this, it’s advisable that you demonstrate recent engagement in your research topic. This could be by describing the significance of a research paper you recently read and outlining which parts interested you the most, and why. Additionally, you can discuss a recent mathematics event you attended and suggest ways in how what you learnt might apply to your research topic.

As with most STEM PhDs, most maths PhD professors prefer you to discuss your application with them directly before putting in a formal application. The benefits of this is two folds. First, you’ll get more information on what their department has to offer. Second, the supervisor can better discover your interest in the project and gauge whether you’d be a suitable candidate. Therefore, we encourage you to contact potential supervisors for positions you’re interested in before making any formal applications.

How Much Does a Maths PhD Typically Cost?

The typical tuition fee for a PhD in Maths in the UK is £4,407 per year for UK/EU students and £20,230 per year for international students. This, alongside the range in tuition fees you can expect, is summarised below:

Note: The above tuition fees are based on 12 UK Universities [1]  for 2020/21 Mathematic PhD positions. The typical fee has been taken as the median value.

In addition to the above, it’s not unheard of for research students to be charged a bench fee. In case you’re unfamiliar with a bench fee, it’s an annual fee additional to your tuition, which covers the cost of specialist equipment or resources associated with your research. This can include the upkeep of supercomputers you may use, training in specialist analysis software, or travelling to conferences. The exact fee will depend on your specific research topic; however, it should be minimal for most mathematic projects.

What Specific Funding Opportunities Are There for A PhD in Mathematics?

Alongside the usual funding opportunities available to all PhD Research students such as doctoral loans, departmental scholarships, there are a few other sources of funding available to math PhD students. Examples of these include:

You can find more information on these funding sources here: DiscoverPhDs funding guide .

What Specific Skills Do You Gain from Doing a PhD in Mathematics?

A doctorate in Mathematics not only demonstrates your commitment to continuous learning, but it also provides you with highly marketable skills. Besides subject-specific skills, you’ll also gain many transferable skills which will prove useful in almost all industries. A sample of these skills is listed below.

  • Logical ability to consider and analyse complex issues,
  • Commitment and persistence towards reaching research goals,
  • Outstanding verbal and written skills,
  • Strong attention to detail,
  • The ability to liaise with others from unique disciple backgrounds and work as part of a team
  • Holistic deduction and reasoning skills,
  • Forming and explaining mathematical and logical solutions to a wide range of real-world problems,
  • Exceptional numeracy skills.

What Jobs Can You Get with A Maths PhD?

Jobs for Maths PhDs - PhD in Mathematics Salary

One of the greatest benefits maths PostDocs will have is the ability to pursue a wide range of career paths. This is because all sciences are built on core principles which, to varying extents, are supported by the core principles of mathematics. As a result, it’s not uncommon to ask students what path they intend to follow after completing their degree and receive entirely different answers. Although not extensive by any means, the most common career paths Math PostDocs take are listed below:

  • Academia – Many individuals teach undergraduate students at the university they studied at or ones they gained ties to during their research. This path is usually the preferred among students who want to continue focusing on mathematical theories and concepts as part of their career.
  • Postdoctoral Researcher – Others continue researching with their University or with an independent organisation. This can be a popular path because of the opportunities it provides in collaborative working, supervising others, undertaking research and attending conferences etc.
  • Finance – Because of their deepened analytical skills, it’s no surprise that many PostDocs choose a career in finance. This involves working for some of the most significant players in the financial district in prime locations including London, Frankfurt and Hong Kong. Specific job titles can include Actuarial, Investment Analyst or Risk Modeller.
  • Computer Programming – Some students whose research involves computational mathematics launch their career as a computer programmer. Due to their background, they’ll typically work on specialised projects which require high levels of understanding on the problem at hand. For example, they may work with physicists and biomedical engineers to develop a software package that supports their more complex research.
  • Data Analyst – Those who enjoy number crunching and developing complex models often go into data analytics. This can involve various niches such as forecasting or optimisation, across various fields such as marketing and weather.

What Are Some of The Typical Employers Who Hire Maths PostDocs?

As mentioned above, there’s a high demand for skilled mathematicians and statisticians across a broad range of sectors. Some typical employers are:

  • Education – All UK and international universities
  • Governments – STFC and Department for Transport
  • Healthcare & Pharmaceuticals – NHS, GSK, Pfizer
  • Finance & Banking – e.g. Barclays Capital, PwC and J. P. Morgan
  • Computing – IBM, Microsoft and Facebook
  • Engineering – Boeing, Shell and Dyson

The above is only a small selection of employers. In reality, mathematic PostDocs can work in almost any industry, assuming the role is numerical-based or data-driven.

Math PhD Employer Logos

How Much Can You Earn with A PhD in Maths?

As a mathematics PhD PostDoc, your earning potential will mostly depend on your chosen career path. Due to the wide range of options, it’s impossible to provide an arbitrary value for the typical salary you can expect.

However, if you pursue one of the below paths or enter their respective industry, you can roughly expect to earn [3] :

Academic Lecturer

  • Approximately £30,000 – £35,000 starting salary
  • Approximately £40,000 with a few years experience
  • Approximately £45,000 – £55,000 with 10 years experience
  • Approximately £60,000 and over with significant experience and a leadership role. Certain academic positions can earn over £80,000 depending on the management duties.

Actuary or Finance

  • Approximately £35,000 starting salary
  • Approximately £45,000 – £55,000 with a few years experience
  • Approximately £70,000 and over with 10 years experience
  • Approximately £180,000 and above with significant experience and a leadership role.

Aerospace or Mechanical Engineering

  • Approximately £28,000 starting salary
  • Approximately £35,000 – £40,000 with a few years experience
  • Approximately £60,000 and over with 10 years experience

Data Analyst

  • Approximately £45,000 – £50,000 with a few years experience
  • Approximately £90,000 and above with significant experience and a leadership role.

Again, we stress that the above are indicative values only. Actual salaries will depend on the specific organisation and position and responsibilities of the individual.

Facts and Statistics About Maths PhD Holders

The below chart provides useful insight into the destination of Math PostDocs after completing their PhD. The most popular career paths from other of highest to lowest is education, information and communication, finance and scientific research, manufacturing and government.

Percentage of Math PostDocs entering an industry upon graduating

Note: The above chart is based on ‘UK Higher Education Leavers’ data [2] between 2012/13 and 2016/17 and contains a data size of 200 PostDocs. The data was obtained from the Higher Education Statistics Agency ( HESA ).

Which Noteworthy People Hold a PhD in Maths?

Alan turing.

Alan_Turing

Alan Turing was a British Mathematician, WW2 code-breaker and arguably the father of computer science. Alongside his lengthy list of achievements, Turning achieved a PhD in Mathematics at Princeton University, New Jersey. His thesis titled ‘Systems of Logic Based on Ordinals’ focused on the concepts of ordinal logic and relative computing; you can read it online here . To this day, Turning pioneering works continues to play a fundamental role in shaping the development of artificial intelligence (AI).

Ruth Lawrence

phd mathematics abroad

Ruth Lawrence is a famous British–Israeli Mathematician well known within the academic community. Lawrence earned her PhD in Mathematics from Oxford University at the young age of 17! Her work focused on algebraic topology and knot theory; you can read her interesting collection of research papers here . Among her many contributions to Maths, her most notable include the representation of the braid groups, more formally known as Lawrence–Krammer representations.

Emmy Noether

phd mathematics abroad

Emmy Noether was a German mathematician who received her PhD from the University of Erlangen, Germany. Her research has significantly contributed to both abstract algebra and theoretical physics. Additionally, she proved a groundbreaking theorem important to Albert Einstein’s general theory of relativity. In doing so, her theorem, Noether’s theorem , is regarded as one of the most influential developments in physics.

Other Useful Resources

Institute of Mathematics and its Applications (IMA) – IMA is the UK’s professional body for mathematicians. It contains a wide range of useful information, from the benefits of further education in Maths to details on grants and upcoming events.

Maths Careers – Math Careers is a site associated with IMA that provides a wide range of advice to mathematicians of all ages. It has a section dedicated to undergraduates and graduates and contains a handful of information about progressing into research.

Resources for Graduate Students – Produced by Dr Mak Tomford, this webpage contains an extensive collection of detailed advice for Mathematic PhD students. Although the site uses US terminology in places, don’t let that put you off as this resource will prove incredibly helpful in both applying to and undertaking your PhD.

Student Interviews – Still wondering whether a PhD is for you? If so, our collection of PhD interviews would be a great place to get an insider perspective. We’ve interviewed a wide range of PhD students across the UK to find out what doing a PhD is like, how it’s helped them and what advice they have for other prospective students who may be thinking of applying to one. You can read our insightful collection of interviews here .

[1] Universities used to determine the typical (median) and range of entry requirements and tuition fees for 2020/21 Mathematics PhD positions.

  • http://www.lse.ac.uk/study-at-lse/Graduate/Degree-programmes-2020/MPhilPhD-Mathematics
  • https://www.ox.ac.uk/admissions/graduate/courses/dphil-mathematics?wssl=1
  • https://www.graduate.study.cam.ac.uk/courses/directory/mapmpdpms
  • https://www.ucl.ac.uk/prospective-students/graduate/research-degrees/mathematics-mphil-phd
  • http://www.bristol.ac.uk/study/postgraduate/2020/sci/phd-mathematics/
  • https://www.surrey.ac.uk/postgraduate/mathematics-phd
  • https://www.maths.ed.ac.uk/school-of-mathematics/studying-here/pgr/phd-application
  • https://www.lancaster.ac.uk/study/postgraduate/postgraduate-courses/mathematics-phd/
  • https://www.sussex.ac.uk/study/phd/degrees/mathematics-phd
  • https://www.manchester.ac.uk/study/postgraduate-research/programmes/list/05325/phd-pure-mathematics/
  • https://warwick.ac.uk/study/postgraduate/research/courses-2020/mathematicsphd/
  • https://www.exeter.ac.uk/pg-research/degrees/mathematics/

[2] Higher Education Leavers Statistics: UK, 2016/17 – Outcomes by subject studied – https://www.hesa.ac.uk/news/28-06-2018/sfr250-higher-education-leaver-statistics-subjects

[3] Typical salaries have been extracted from a combination of the below resources. It should be noted that although every effort has been made to keep the reported salaries as relevant to Math PostDocs as possible (i.e. filtering for positions which specify a PhD qualification as one of their requirements/preferences), small inaccuracies may exist due to data availability.

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phd mathematics abroad

Mathematics Study Abroad Graduate Programs Worldwide

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This course delivers tools, introducing you to the most successful models and algorithms from operations research (OR), including (integer) linear optimization, network optimization, stochastic optimization and heuristics.

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Kaust opportunity: ms/phd fellowships.

Upon successful completion of your undergraduate degree you can apply for a PhD Program and engage in scientific research from the very beginning of your studies. You can take the opportunity to complete the MS Degree on your way to the PhD Degree.

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KAUST Opportunity: Visiting Student Research Program

Kaust opportunity: visiting student program, technion-israel institute of technology, study abroad a semester.

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Research Internship

Neubauer professional internship (for credit) in a prestigious tech company, bsc in mechanical engineering, neubauer american spring semester - engineering & science, university of tartu, actuarial and financial engineering.

2-year master's programme prepares specialists for financial sector, banking and insurance industries in quantitative methods of risk assessment and hedging.

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University of Tuebingen

Graduate training centre of neuroscience.

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Ma and phd fellowships at central european university. apply by january 24, 2013.

Academic Areas and Programs (MA, MPA, MS, LLM, MBA, PhD, SJD) •Business (MBA) •Cognitive Science (PhD) •Economics •Environmental Sciences and Policy •Gender Studies •History •International Relations and European Studies •Legal Studies •Mathematics and it

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Sponsored Study Mathematics Abroad Program Listings

Ph.D. Program

Degree requirements.

In outline, to earn the PhD in either Mathematics or Applied Mathematics, the candidate must meet the following requirements.

  • Take at least 4 courses, 2 or more of which are graduate courses offered by the Department of Mathematics
  • Pass the six-hour written Preliminary Examination covering calculus, real analysis, complex analysis, linear algebra, and abstract algebra; students must pass the prelim before the start of their second year in the program (within three semesters of starting the program)
  • Pass a three-hour, oral Qualifying Examination emphasizing, but not exclusively restricted to, the area of specialization. The Qualifying Examination must be attempted within two years of entering the program
  • Complete a seminar, giving a talk of at least one-hour duration
  • Write a dissertation embodying the results of original research and acceptable to a properly constituted dissertation committee
  • Meet the University residence requirement of two years or four semesters

Detailed Regulations

The detailed regulations of the Ph.D. program are the following:

Course Requirements

During the first year of the Ph.D. program, the student must enroll in at least 4 courses. At least 2 of these must be graduate courses offered by the Department of Mathematics. Exceptions can be granted by the Vice-Chair for Graduate Studies.

Preliminary Examination

The Preliminary Examination consists of 6 hours (total) of written work given over a two-day period (3 hours/day). Exam questions are given in calculus, real analysis, complex analysis, linear algebra, and abstract algebra. The Preliminary Examination is offered twice a year during the first week of the fall and spring semesters.

Qualifying Examination

To arrange the Qualifying Examination, a student must first settle on an area of concentration, and a prospective Dissertation Advisor (Dissertation Chair), someone who agrees to supervise the dissertation if the examination is passed. With the aid of the prospective advisor, the student forms an examination committee of 4 members.  All committee members can be faculty in the Mathematics Department and the chair must be in the Mathematics Department. The QE chair and Dissertation Chair cannot be the same person; therefore, t he Math member least likely to serve as the dissertation advisor should be selected as chair of the qualifying exam committee . The syllabus of the examination is to be worked out jointly by the committee and the student, but before final approval, it is to be circulated to all faculty members of the appropriate research sections. The Qualifying Examination must cover material falling in at least 3 subject areas and these must be listed on the application to take the examination. Moreover, the material covered must fall within more than one section of the department. Sample syllabi can be reviewed online or in 910 Evans Hall. The student must attempt the Qualifying Examination within twenty-five months of entering the PhD program. If a student does not pass on the first attempt, then, on the recommendation of the student's examining committee, and subject to the approval of the Graduate Division, the student may repeat the examination once. The examining committee must be the same, and the re-examination must be held within thirty months of the student's entrance into the PhD program. For a student to pass the Qualifying Examination, at least one identified member of the subject area group must be willing to accept the candidate as a dissertation student.

phd mathematics abroad

Ph.D. Program Overview

Description.

The graduate program in the field of mathematics at Cornell leads to the Ph.D. degree, which takes most students five to six years of graduate study to complete. One feature that makes the program at Cornell particularly attractive is the broad range of  interests of the faculty . The department has outstanding groups in the areas of algebra, algebraic geometry,  analysis, applied mathematics, combinatorics, dynamical systems, geometry, logic, Lie groups, number theory, probability, and topology. The field also maintains close ties with distinguished graduate programs in the fields of  applied mathematics ,  computer science ,  operations research , and  statistics .

Core Courses

A normal course load for a beginning graduate student is three courses per term. 

There are no qualifying exams, but the program requires that all students pass four courses to be selected from the six core courses. First-year students are allowed to place out of some (possibly, all) of the core courses. In order to place out of a course, students should contact the faculty member who is teaching the course during the current academic year, and that faculty member will make a decision. The minimum passing grade for the core courses is B-; no grade is assigned for placing out of a core course.

At least two core courses should be taken (or placed out) by the end of the first year. At least four core courses should be taken (or placed out) by the end of the second year (cumulative). These time requirements can be waived for students with health problems or other significant non-academic problems. They can be also waived for students who take time-consuming courses in another area (for example, CS) and who have strong support from a faculty; requests from such students should be made before the beginning of the spring semester. 

The core courses  are distributed among three main areas: analysis, algebra and topology/geometry. A student must pass at least one course from each group. All entering graduate students are encouraged to eventually take all six core courses with the option of an S/U grade for two of them. 

The six core courses are:

MATH 6110, Real Analysis

MATH 6120, Complex Analysis

MATH 6310, Algebra 1

MATH 6320, Algebra 2

MATH 6510, Introductory Algebraic Topology

MATH 6520, Differentiable Manifolds.

Students who are not ready to take some of the core courses may take MATH 4130-4140, Introduction to Analysis, and/or MATH 4330-4340, Introduction to Algebra, which are the honors versions of our core undergraduate courses.

"What is...?" Seminar

The "What Is...?" Seminar is a series of talks given by faculty in the graduate field of Mathematics. Speakers are selected by an organizing committee of graduate students. The goal of the seminar is to aid students in finding advisors.

Schedule for the "What Is...?" seminar

Special Committee

The Cornell Graduate School requires that every student selects a special committee (in particular, a thesis adviser, who is the chair or the committee) by the end of the third semester.

The emphasis in the Graduate School at Cornell is on individualized instruction and training for independent investigation. There are very few formal requirements and each student develops a program in conjunction with his or her special committee, which consists of three faculty members, some of which may be chosen from outside the field of mathematics. 

Entering students are not assigned special committees. Such students may contact any of the members on the Advising Committee if they have questions or need advice.

Current Advising Committee

Analysis / Probability / Dynamical Systems / Logic: Lionel Levine Geometry / Topology / Combinatorics: Kathryn Mann Probability / Statistics:  Philippe Sosoe Applied Mathematics Liaison: Richard Rand

Admission to Candidacy

To be admitted formally to candidacy for the Ph.D. degree, the student must pass the oral admission to candidacy examination or A exam. This must be completed before the beginning of the student's fourth year. Upon passing the A exam, the student will be awarded (at his/her request) an M.S. degree without thesis.

The admission to candidacy examination is given to determine if the student is “ready to begin work on a thesis.” The content and methods of examination are agreed on by the student and his/her special committee before the examination. The student must be prepared to answer questions on the proposed area of research, and to pass the exam, he/she must demonstrate expertise beyond just mastery of basic mathematics covered in the core graduate courses. 

To receive an advanced degree a student must fulfill the residence requirements of the Graduate School. One unit of residence is granted for successful completion of one semester of full-time study, as judged by the chair of the special committee. The Ph.D. program requires a minimum of six residence units. This is not a difficult requirement to satisfy since the program generally takes five to six years to complete. A student who has done graduate work at another institution may petition to transfer residence credit but may not receive more than two such credits.

The candidate must write a thesis that represents creative work and contains original results in that area. The research is carried on independently by the candidate under the supervision of the chairperson of the special committee. By the time of the oral admission to candidacy examination, the candidate should have selected as chairperson of the committee the faculty member who will supervise the research. When the thesis is completed, the student presents his/her results at the thesis defense or B Exam. All doctoral students take a Final Examination (the B Exam, which is the oral defense of the dissertation) upon completion of all requirements for the degree, no earlier than one month before completion of the minimum registration requirement.

Masters Degree in the Minor Field

Ph.D. students in the field of mathematics may earn a Special Master's of Science in Computer Science. Interested students must apply to the Graduate School using a form available for this purpose. To be eligible for this degree, the student must have a member representing the minor field on the special committee and pass the A-exam in the major field. The rules and the specific requirements for each master's program are explained on the referenced page.

Cornell will award at most one master's degree to any student. In particular, a student awarded a master's degree in a minor field will not be eligible for a master's degree in the major field.

Graduate Student Funding

Funding commitments made at the time of admission to the Ph.D. program are typically for a period of five years. Support in the sixth year is available by application, as needed. Support in the seventh year is only available by request from an advisor, and dependent on the availability of teaching lines. Following a policy from the Cornell Graduate School, students who require more than seven years to complete their degree shall not be funded as teaching assistants after the 14th semester.

Special Requests

Students who have special requests should first discuss them with their Ph.D. advisor (or with a field member with whom they work, if they don't have an advisor yet). If the advisor (or field faculty) supports the request, then it should be sent to the Director of Graduate Studies.  

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Ph.D Mathematics: Course Details, Eligibility, Admission, Fees

Kripal Thapa

Updated on - Jan 4, 2023

The PhD Mathematics is a three-to-five-year doctoral course that deals with the doctoral practice of mathematics in logical interpretation, analysis, theory, formulation, statistical, and topology. Graduates work as Mathematics Experts, Subject Matter Experts, Lecturers among many other job profiles.

PhD in Mathematics Course Details

About phd mathematics.

PhD Mathematics full form is Doctor of Philosophy in Mathematics, a speciality that focuses on the structure in mathematics and propagates new theories and laws and data for the development of mathematics. The course falls under the umbrella of  PhD.

According to Wikipedia, “Mathematics is an area of knowledge, which includes the study of such topics as numbers (arithmetic and number theory), formulas and related structures (algebra), shapes and spaces in which they are contained (geometry), and quantities and their changes (calculus and analysis).” 

Table of Contents

Eligibility Criteria for PhD Mathematics

  • PhD Mathematics Admission Process

Who Should Pursue PhD Mathematics?

Types of phd mathematics.

  • Popular PhD Mathematics Entrance Exams

Study PhD Mathematics in India

  • Top PhD Mathematics Colleges
  • Study PhD Abroad
  • Fees Structure for PhD Mathematics
  • Why Choose PhD Mathematics
  • Syllabus and Subjects for PhD Mathematics

Preparation Tips for PhD Mathematics

  • PhD Mathematics Salary

Career Options After PhD Mathematics

  • Skills to Excel

Eligibility for a PhD Mathematics course in India varies by university. Candidates for admission to the PhD Mathematics course must have a 55% in their Master's degree in Mathematics or Physical Science and a bachelor's degree in Mathematics from a recognized university. Some universities hold entrance exams. There is no upper age limit for candidates for PhD Mathematics. The following are the general admission requirements for the course.

How To Get Admission For PhD Mathematics?

Candidates for PhD Mathematics admission must meet the university's eligibility requirements, which vary by course. Admissions procedures differ depending on the colleges to which applicants apply. The procedure, on the other hand, follows a predetermined pattern.

How to Apply?

The PhD Mathematics course duration is 3-5 years. Before applying for the PhD Program, aspirants may be required to submit a Letter Of Recommendation, a Statement Of Purpose, and other documents specified by the university. They can then apply for a doctoral degree at the university of their choice.

Selection Process

Admission is primarily based on merit, determined by the candidate's performance in state, national, or institutional entrance exams. Some institutes provide the second round of counselling consisting of a group discussion followed by a personal interview. After completing all of these rounds, a final merit list is created and released, confirming a candidate's admission to the institution.

PhD Mathematics should be pursued by students who are interested in the subject of Mathematics and want to pursue it at a research-level. The degree is a research-based degree, and hence the aspirants must be interested in doing research. In addition, students can opt for any suitable specialization that matches their interests to make a bright career in their preferred profession.

When To Do PhD Mathematics?

Students must pursue a PhD Mathematics after they have completed their Master’s degree. After the students have completed their M.Phil, M.Sc, or MA in Math or related subjects, the decision must be taken.

Aspirants can pursue the PhD in Mathematics course in multidisciplinary and multiple ways. Students can pursue it traditionally like a Full-time course, or they can pursue it part-time or distance learning.

Full Time PhD Mathematics

A full-time PhD course is a three to five-year-long course where the students will have to attend regular classes. The classes are conducted in person, and the students will have to attend college to finish these classes.

Part-Time PhD Mathematics

A part-time PhD Mathematics course is a doctorate course for students who can't commit to attending classes regularly. In this format, the students can study according to their schedules.

Popular Entrance Examination For PhD Mathematics

An entrance exam is required for candidates for the PhD Mathematics course. In addition to these exams, other universities may hold their own set of entrance exams for admission to the PhD Mathematics course. Among these are:

A Quick Glance At The PhD Mathematics Entrance Exam

The entrance exam is the only way to gain admission to prestigious universities. The top PhD Mathematics colleges in India hold entrance exams to determine the final merit list. The entrance exam is used to determine a candidate's merit for admission. The university entrance exam cut-off varies by university and is available online, along with the PhD Mathematics course details. The following is a summary of the PhD Mathematics entrance exam:

  • Typically, the entrance exam is taken offline.
  • The exam will take approximately 3 hours to complete.
  • The questions are objective in nature.
  • The purpose of the exam is to assess qualitative ability, data interpretation, and knowledge of the subject.

PhD Mathematics colleges exist in India in abundance for the students to choose from. Aspirants can apply to India's best PhD Mathematics colleges based on their specialization and merit. However, the admission process for these colleges remains remarkably consistent, and therefore, students must ensure that the students research them.

Top 10 PhD Mathematics Colleges

Numerous colleges in India offer PhD Mathematics. In addition to private institutions, India has a plethora of government-run PhD Mathematics colleges. Students can choose a college based on their academic standing and specialization needs. The following are the top ten PhD Mathematics Colleges in India:

Top PhD Mathematics Colleges in Karnataka

The table below shows the top PhD Mathematics colleges in Karnataka:

Top PhD Mathematics Colleges in West Bengal

The table below shows the top PhD Mathematics colleges in West Bengal:

Top PhD Mathematics Colleges in Maharashtra

The table below shows the top PhD Mathematics colleges in Maharashtra:

Top PhD Mathematics Colleges in Orissa

The table below shows the top PhD Mathematics colleges in Orissa:

Study PhD Mathematics Abroad

Aspirants can choose to pursue a PhD Mathematics course abroad if they so choose. The PhD Mathematics fees abroad will vary depending on the location, university and ranking. Below, are some of the top universities for PhD Mathematics from various countries abroad:

Top PhD Mathematics Colleges in the USA

The table below shows the top PhD Mathematics colleges in the USA:

Top PhD Mathematics Colleges in the UK

The table below shows the top PhD Mathematics colleges in the UK:

Top PhD Mathematics Colleges in Canada

The table below shows the top PhD Mathematics colleges in Canada:

Top PhD Mathematics Colleges in Australia

The table below shows the top M.Phil colleges in Australia:

Fee Structure For PhD Mathematics

In India, there are approximately 5,000 PhD Mathematics colleges. In India, the average fee structure for PhD Mathematics is 50,000 - 1.9 LPA. The course fee for a PhD Mathematics varies across the country, depending on the infrastructure and faculty availability. Government colleges in India charge lower PhD mathematics fees than private colleges. The following are some of the top PhD Mathematics Colleges and PhD Mathematics course fees:

Syllabus and Subjects For PhD Mathematics 

The PhD Mathematics course lasts 3-5 years and can be completed semester by semester or annually, depending on the university. The PhD Mathematics syllabus prepares students to formulate, research, and find new mathematical patterns. PhD Mathematics is a doctoral program that prepares students for careers in mathematics through research. The PhD Mathematics syllabus is intended to place a strong emphasis on:

  • Differential Equation
  • Mathematical Finance
  • Differential Geometry Mechanics

Read More: PhD Mathematics Syllabus and Subjects

Why Choose PhD Mathematics?

There are numerous opportunities available in research institutes and universities for candidates interested in a research career. And for those interested in teaching, there are numerous well-paying teaching positions available in private engineering institutions. To assist aspirants in understanding the answers to these questions, we have created the following three pointers:

What is PhD Mathematics All About?

PhD Mathematics is the doctoral program in which students are exposed to mathematical logic and analysis, statistical, topology, and stochastic processes, emphasising the practical. A PhD in Mathematics opens the door to a plethora of career opportunities in the corporate and other sectors of the economy, not just in education.

What Does a PhD Mathematics Graduate Do?

Mathematics is a highly sought-after and difficult specialization in subject matter that necessitates a high level of expertise. PhD in Mathematics teaches students how to research, formulate research methodologies and find solutions.

Accountants:  Accountants are professionals in charge of administrative tasks such as creating forms and the upkeep of schedules. Accounting firms prepare financial statements and tax returns for clients and represent them in financial matters.

Reasons Why PhD Mathematics Can Fetch You a Rewarding Career?

PhD Mathematics are affiliated researchers who find solutions to the existing mathematical questions or try to find the next to the best solution to the question.

Research Skills Development:  The syllabus prepares students to keep up with the expanding frontiers of knowledge and to conduct research relevant to the country's current social and economic goals.

Opportunities to diverse sectors:  Mathematicians can find work in various fields, including banking, the stock exchange, defence, etc. 

Pursuit of Excellence:  Mathematics is a pursuit of excellence, and mathematicians researchers work more to understand the complexities of mathematics and create more solving patterns through research.

Read More: PhD Mathematics Job Opportunities and Scope

PhD Mathematics Course Comparison

PhD Mathematics is a doctoral degree with a prime focus on Mathematics as a discipline and field of study. Based on their preferences, aspirants can pursue a Doctor of Philosophy or PhD course and carve their paths as researchers and field specialists. Below is the comparison of PhD Mathematics with other PhD Courses.

PhD Mathematics vs PhD Sociology

The table below is a comparison between PhD Mathematics and PhD Sociology:

Read More: PhD Sociology

The following are some preparation tips for students to complete the course:

Consult a Syllabus Advisor: Examine your comprehension of the syllabus and, if necessary, seek assistance from seniors or advisors.

Allow One Month For Planning: Allow a month for proper preparation. Make a list of what you need to study and practice before you begin working.

Make a Schedule: Finish your preparations ahead of time to allow for content revision.

Salary for PhD Mathematics

The average PhD Mathematics salary in India for freshers is INR 2.5 LPA, according to Glassdoor. The type of practice, performance, expertise, and other relevant factors influence salary and annual earnings.

Read More : PhD Mathematics Salary

A graduate of the PhD Mathematics program has numerous career options. PhD Mathematics graduates primarily work in government and international organizations. They are sought in a variety of fields, including:

  • Academic Institutes
  • Banking Sector
  • Stock Exchanges
  • Math Research Centers
  • Military Schools
  • Defense Services
  • Trade & Transportation Centers

Skills Required For PhD Mathematics

An aspirant who wishes to pursue a PhD Mathematics must have the necessary skills to progress in the course. The course is practical and requires prior knowledge. Here is a list of a few skills an applicant should have:

  • Researching
  • Mathematical skills
  • Interpretation skills
  • Qualitative Understanding
  • Quantitative Data Interpretation

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PhD in Mathematics

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  • Updated on  
  • Apr 24, 2023

PhD in Mathematics

Do you love calculations and solving big mathematical problems? Dating back to ancient times, Mathematics as a field has witnessed immense changes and growth with technological advancements. Carl Friedrich Gauss, a famous mathematician, called this field the ‘queen of sciences’ because the mathematical principles and theories are used in multifarious disciplines like Sciences , Finance , Engineering , Medicine and Social Sciences . From calculating and measuring to the development of a multitude of theories, laws, and patterns, pursuing a career after BSc Maths can be highly rewarding. In this blog, we will shed light on various elements of the PhD in Mathematics program and will provide insightful knowledge on the same. 

This Blog Includes:

What is phd in mathematics, why study phd in mathematics, top phd in mathematics specializations, phd in mathematics syllabus, eligibility criteria for phd in mathematics, top universities offering phd in mathematics , top colleges in india , career opportunities and salaries , phd in mathematics vs phd in economics.

Relying heavily on the practical side, the students in the doctoral program are familiarised with mathematical logic and analysis, statistical, topology and stochastic processes. Running for a duration of 3-5 years, the doctorate program imparts advanced knowledge in the field of Mathematics and equips students with skills that can be used to apply and solve complex real-life problems. Not just in the education sector, but a PhD in Mathematics opens the door to a multitude of career opportunities in the corporate and other sectors of the economy. 

Many opportunities in research institutes and universities are available for candidates who are interested in a research career. And for those who want to teach, there are lots of well-paying teaching opportunities available in private engineering institutions. Many international businesses research laboratories, financial services companies, and others are aggressively hiring Indian mathematicians. Some of the most common reasons why a PhD in Mathematics is a popular choice among students are:

  • This curriculum trains students to keep up with the growth frontiers of knowledge and provides research skills relevant to the country’s current social and economic objectives.
  • It learns how to create an effective research report and how to show facts graphically.
  • Accountancy and commercial services, finance, investing and insurance, and government and public administration are additional options.

Ranging from Computational Sciences and Statistics to Natural Sciences, PhD in Mathematics offers an array of career opportunities in the research field. Being the heart and soul of modern scientific questions, the doctorate program helps contemporary inventions in today’s generation. Here are some of the most popular specialization programs that you can opt for: 

  • PhD in Mathematical and Computer Sciences
  • PhD in Mathematical Sciences
  • PhD in Mathematical Education
  • PhD in Mathematical Statistics
  • PhD in Computational Mathematics and Decision Sciences
  • PhD in Mathematical Modeling
  • PhD in Natural and Mathematical Sciences
  • PhD in Applied Mathematics
  • PhD in Statistics

Although the PhD in Mathematics course curriculum differs per college, it mostly comprises certain common core courses from which students can choose based on their interests. The following is a list of common subjects and subjects covered in the syllabus:

  • Differential Equation
  • Mathematical Finance
  • Differential Geometry Mechanics
  • Discrete Mathematics
  • Metric Space
  • Computational Techniques
  • English Literature
  • Number Theory
  • Computer Science
  • Linear Programming
  • Probability Theory

To take admission in the choice of course, the students have to fulfil certain eligibility criteria as mentioned by the university. Although different educational institutes have their own set of prerequisites, here are some of the most common parameters that you must satisfy in order to get enrolled in a PhD in Mathematics course:

  • A 3 years undergraduate degree in a field related to mathematics followed by a postgraduate degree like MSc Mathematics or a 4-year undergraduate honours degree in the field which provides relevant quantitative training to the students such as Mathematics, Engineering, Computer Science, Statistics, Physics, etc.
  • A valid English language proficiency test scorecard like IELTS , TOEFL or PTE . 
  • GRE scorecard, if needed by the university.
  • A passing score in the entrance exam conducted by the university, if any.

Apart from the certificate documents of the aforementioned criteria, the applicants also have to submit university transcripts, Letter of Recommendation (LOR), a Statement of Purpose ( SOP ), Curriculum Vitae or a Resume , and other documents as mentioned by the university. 

Providing the best in class infrastructure, a highly qualified faculty and industrial exposure essential to building a successful career ahead, the universities mentioned below are popular choices when it comes to pursuing PhD in Mathematics: 

Also Read: PhD Scholarships in UK for Indian Students

The table below lists the top PhD in Mathematics colleges and universities that offer the given programme full-time:

Must Read: IIT Delhi And Queensland University’s Joint PhD Program

PhD in Mathematics is one of the most popular professional options among students. Mathematical graduates have several career prospects both overseas and in India. PhD graduates can work in a variety of mathematical fields, such as Numerical Analysis, Computational Complex Analysis Group, Biomathematics Group, Complexity and Networks, Dynamical Systems, Fluid Dynamics, Mathematical Physics, and so on. Graduates with customer service skills and a basic understanding of the business can work in both private and public sector banks . They can also look for work in market research, public accounting companies, government and private banks, government and private financial sectors, budget planning, consultancies, and businesses, among other places. Some of the most sought-after job prospects for PhD in Mathematics graduates are mentioned below: 

Note: Mathematicians’ employment in India is anticipated to rise by 23-30% due to a surge in demand for knowledge and experience in private sector analytics businesses. The private sector provides more compensation and more opportunities. If they include sophisticated computer abilities and statistical tools in their profile, the package will be increased.

PhD in Mathematics and PhD in Economics both have a promising future in the field of study in a variety of areas. Many colleges in India and abroad choose both courses as part of their academic framework. The table below represents the differences between both the options:

PhD in Mathematics takes around 3-5 years to complete.

Doing PhD in Mathematics can open doors for a lot of career options for example – Mathematician, demographer, professor, economist, researcher, etc.

Candidates applying for PhD in Mathematics must have scored at least 60% marks in their class 12th, undergraduate and postgraduate program. Also, if the university conducts an entrance examination then the candidate must score passing marks in that.

Hopefully, you have got an insight into various aspects pertaining to PhD in Mathematics. Are you also looking for opportunities to study abroad ? If the answer is yes, the experts at Leverage Edu can make your journey easier as they will be guiding you throughout the process. To take help from the experts simply register on our website or call us at 1800-572-000.

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I want to become a good professor in maths….i m of 35 years old now…but just going to complete my pg

Please explain the difference between phd from a govt institute and phd from a private institute with pros n cons

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Full list of PhD Scholarships, Fellowships and grants in Mathematics for International students- eligibility criteria, deadlines, application form, selection process & more!

[Updated 3 days ago] PhD Scholarships in Mathematics for International students are below:

  • Xiamen University New International Students Scholarships 2024 |
  • Mahmoud S. Rabbani Fellowship by Lutfia Rabbani Foundation 2024 |
  • UCL Research Fellowships 2024 |
  • AUT Vice Chancellor Doctoral Scholarships 2024 |
  • DAAD - ALECOSTA: Alemania-Costa Rica 2023 |
  • Momeni Iranian Financial Assistance Scholarships, 2024 |
  • University Of Reading Regional PhD Bursaries at University of Reading 2024 |
  • China Scholarship Council (CSC) Scholarships, 2022 |
  • American Association Of University Women International Fellowships in US 2023 |
  • Tomlinson Doctoral Fellowship at McGill University 2024 |
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DAAD - Development-Related Postgraduate Courses (EPOS) Scholarship 2024

Melbourne research scholarship at university of melbourne 2024, ubc public scholars awards 2024.

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Latest information about PhD Scholarships in Mathematics for International students, 2024-25

Xiamen University New International Students Scholarships 2024

Xiamen University New International Students Scholarships 2024 is a Partial Funding international scholarship offered by the Xiamen University for international students. Students eligible for this scholarship are: Open to all nationals except China

This scholarship can be taken for pursuing in courses offered by university . 10 Apr is the deadline to send applications for Xiamen University New International Students Scholarships 2024. This scholarship can be taken at Xiamen University , . You may apply on Xiamen University New International Students Scholarships 2024 application form .

Check out other international Fellowships and Grants and Scholarships offered by Xiamen University.

Mahmoud S. Rabbani Fellowship by Lutfia Rabbani Foundation 2024

Mahmoud S. Rabbani Fellowship by Lutfia Rabbani Foundation 2024 is a Partial Funding international scholarship offered by the Lutfia Rabbani Foundation for international students. Students eligible for this scholarship are: open to Arab students & Dutch students

This scholarship can be taken for pursuing in all subjects offered by the university. 31 Mar is the deadline to send applications for Mahmoud S. Rabbani Fellowship by Lutfia Rabbani Foundation 2024. This scholarship can be taken at Netherlands or Arab countries . You may apply on Mahmoud S. Rabbani Fellowship by Lutfia Rabbani Foundation 2024 application form .

Check out other international Fellowships and Grants and Scholarships offered by Lutfia Rabbani Foundation.

UCL Research Fellowships 2024

UCL Research Fellowships 2024 is a Partial Funding international scholarship offered by the University College London (UCL) for international students. Students eligible for this scholarship are: Open to all nationals

This scholarship can be taken for pursuing in courses offered by university. Deadline varies is the deadline to send applications for UCL Research Fellowships 2024. This scholarship can be taken at University College London (UCL) , . You may apply on UCL Research Fellowships 2024 application form .

Check out other international Fellowships and Grants and Scholarships offered by University College London (UCL).

AUT Vice Chancellor Doctoral Scholarships 2024

AUT Vice Chancellor Doctoral Scholarships 2024 is a Partial Funding international scholarship offered by the University of Auckland for international students. Students eligible for this scholarship are: Open to citizens and permanent residents of New Zealand

This scholarship can be taken for pursuing in Any area within the scope of the University. 01 Dec is the deadline to send applications for AUT Vice Chancellor Doctoral Scholarships 2024. This scholarship can be taken at Auckland University of Technology (AUT) , . You may apply on AUT Vice Chancellor Doctoral Scholarships 2024 application form .

Check out other international Fellowships and Grants and Scholarships offered by University of Auckland.

DAAD - ALECOSTA: Alemania-Costa Rica 2023

DAAD - ALECOSTA: Alemania-Costa Rica 2023 is a Partial Funding international scholarship offered by the German Academic Exchange Service (DAAD) for international students. Students eligible for this scholarship are: Open to Costa Rica nationals

This scholarship can be taken for pursuing in Language and Cultural Studies Law, Economics and Social Sciences Mathematics/Natural Sciences, Medicine, Agriculture, Forestry and Nutritional Science, Engineering. Deadline varies is the deadline to send applications for DAAD - ALECOSTA: Alemania-Costa Rica 2023. This scholarship can be taken at Universities in Germany . You may apply on DAAD - ALECOSTA: Alemania-Costa Rica 2023 application form .

Check out other international Fellowships and Grants and Scholarships offered by German Academic Exchange Service (DAAD).

Momeni Iranian Financial Assistance Scholarships, 2024

Momeni Iranian Financial Assistance Scholarships, 2024 is a Partial Funding international scholarship offered by the Momeni Foundation for international students. Students eligible for this scholarship are: Open to applicants of Iranian descent

This scholarship can be taken for pursuing in All subjects offered by the university . 30 Jun is the deadline to send applications for Momeni Iranian Financial Assistance Scholarships, 2024. This scholarship can be taken at Any institution across the world . You may apply on Momeni Iranian Financial Assistance Scholarships, 2024 application form .

Check out other international Fellowships and Grants and Scholarships offered by Momeni Foundation.

University Of Reading Regional PhD Bursaries at University of Reading 2024

University Of Reading Regional PhD Bursaries at University of Reading 2024 is a Only tuition fees international scholarship offered by the University of Reading for international students. Students eligible for this scholarship are: Open to applicants of UK/Ireland

This scholarship can be taken for pursuing in Courses offered by the university . 03 May is the deadline to send applications for University Of Reading Regional PhD Bursaries at University of Reading 2024. This scholarship can be taken at University of Reading , . You may apply on University Of Reading Regional PhD Bursaries at University of Reading 2024 application form .

Check out other international Fellowships and Grants and Scholarships offered by University of Reading.

China Scholarship Council (CSC) Scholarships, 2022 is a Partial Funding international scholarship offered by the University of Auckland for international students. Students eligible for this scholarship are: Open to Chinese nationals

This scholarship can be taken for pursuing in Selected subjects. Deadline varies is the deadline to send applications for China Scholarship Council (CSC) Scholarships, 2022. This scholarship can be taken at University of Auckland , . You may apply on China Scholarship Council (CSC) Scholarships, 2022 application form .

American Association Of University Women International Fellowships in US 2023

American Association Of University Women International Fellowships in US 2023 is a Partial Funding international scholarship offered by the American Association Of University Women (AAUW) for international students. Students eligible for this scholarship are: Open to female International applicants (other than the US)

This scholarship can be taken for pursuing in All Subjects. 15 Nov is the deadline to send applications for American Association Of University Women International Fellowships in US 2023. This scholarship can be taken at Any US University . You may apply on American Association Of University Women International Fellowships in US 2023 application form .

Check out other international Fellowships and Grants and Scholarships offered by American Association Of University Women (AAUW).

Tomlinson Doctoral Fellowship at McGill University 2024

Tomlinson Doctoral Fellowship at McGill University 2024 is a Partial Funding international scholarship offered by the McGill University for international students. Students eligible for this scholarship are: Open to all nationals

This scholarship can be taken for pursuing in Subjects offered by the university. 22 May is the deadline to send applications for Tomlinson Doctoral Fellowship at McGill University 2024. This scholarship can be taken at McGill University , . You may apply on Tomlinson Doctoral Fellowship at McGill University 2024 application form .

Check out other international Fellowships and Grants and Scholarships offered by McGill University.

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Janani Sundaresan receives 2024 Faculty of Mathematics Graduate Research Excellence Award

Janani Sundaresan , a PhD candidate at the Cheriton School of Computer Science, has been awarded a Faculty of Mathematics Graduate Research Excellence Award . Conferred annually to two graduate students who have authored or coauthored an outstanding research paper, the prestigious recognition comes with a prize of $5,000.

Janani’s paper titled “ Hidden Permutations to the Rescue: Multi-Pass Semi-Streaming Lower Bounds for Approximate Matchings ” was co-authored with her doctoral advisor Professor Sepehr Assadi . It was presented at FOCS 2023 , the 64 th IEEE Symposium on Foundations of Computer Science, one of the two top international conferences in theoretical computer science.

photo of Janani Sundaresan and Sepehr Assadi

Left to right: Janani Sundaresan and Sepehr Assadi Janani Sundaresan is a PhD student in the computer science theory group at the Cheriton School of Computer Science. She is interested in sublinear and streaming algorithms, online algorithms and more broadly optimization problems. Recently, she has focused on proving lower bounds for streaming algorithms. Sepehr Assadi is an Associate Professor and a Faculty of Mathematics Research Chair at the Cheriton School of Computer Science. His research interest is in theoretical computer science and primarily algorithm design and complexity theory for modern models of computation. This includes sublinear algorithms and lower bounds in various models for processing massive datasets such as streaming, distributed, massively parallel, and sublinear time algorithms. He is also interested in graph theory, communication complexity, online algorithms, and algorithmic game theory.

Janani’s paper makes substantial progress on a longstanding open question regarding the maximum matching problem in the semi-streaming model. The maximum matching problem is the problem of finding the largest number of edges in a given graph that do not share any vertices. As an application, consider finding a pairing of a set of items to a set of interested buyers in a way that each buyer receives at most one item and each item is allocated to at most one buyer. This application can be modelled as an instance of the maximum matching problem on a graph between items and buyers, with edges showing which buyer is interested in which item. The maximum matching problem has been a cornerstone of algorithmic research for almost a century, including pioneering work by Jack Edmonds and William Tutte, mathematicians both formerly affiliated with the University of Waterloo.

The semi-streaming model is a model of computation tailored toward processing massive graphs.  In the classical view of algorithms, often referred to as the von Neumann model, we assume that our algorithms have random-access to every part of the input at a unit cost. This model, however, can be unrealistic when working with inputs that are too large to be stored in the main memory of the computer. Instead, in such scenarios, one typically only has sequential access to the input — say, stored in the hard-drive of the computer which allows a fast sequential access but a slow random access — and needs to process it with a memory much smaller than the input size — say, corresponding to the main memory of the computer, which is typically much smaller than its hard-drive. The semi-streaming model precisely captures this scenario. Specifically, a semi-streaming algorithm needs to process its input by making one or a few passes over the edges of the input graph and use a limited memory, proportional only to the number of vertices in the graph as opposed to the potentially much larger number of edges.

Janani’s paper now considers the following question: does finding even a near-optimal maximum matching in the semi-streaming model require making a substantial number of passes over the input? Stated more formally, the paper asks how many passes are needed to find a (1 + ϵ)-approximation of maximum matching as a function of ϵ.

Given the central role of the maximum matching problem in algorithm design and its wide range of applications, this problem has received significant attention since the introduction of the semi-streaming model almost two decades ago. Yet, almost no progress has been made on the open question except for one- or two-pass algorithms. Janani’s paper, on the other hand, proves the following result:

Any semi-streaming algorithm for finding a (1+ϵ)-approximation of maximum matching requires Ω (log (1/ϵ)) passes, even for ϵ = θ(1). The lower bound holds assuming a natural combinatorial hypothesis regarding the density of the so-called Ruzsa-Szemeredi graphs in extremal graph theory. 

Consequently, while we might still not know the optimal pass-dependence on the parameter ϵ, this is the first time that we have any evidence toward necessity of any dependence at all on this parameter, Professor Assadi explained.

“To put this result in perspective, before Janani’s work, we only knew that maximum matching cannot be solved in one or two passes over the input,” Professor Assadi said. “Thus, it was entirely conceivable that this problem could have been solved by making, say, just three passes over the input, regardless of how accurate an approximate solution we aimed for. On the other hand, Janani’s result now proves that, under a natural combinatorial hypothesis, no constant number of passes, say, even a hundred or a thousand, suffices for solving this problem, as long as we require a sufficiently accurate solution.” 

To learn more about this award-winning research, please see Sepehr Assadi and Janani Sundaresan, “ Hidden Permutations to the Rescue: Multi-Pass Streaming Lower Bounds for Approximate Matchings ,” 2023 IEEE 64 th Annual Symposium on Foundations of Computer Science (FOCS) , Santa Cruz, CA, USA, 2023, pp. 909–932.

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Higher test scores needed to graduate will impact 37% of county seniors. See the new rules

This year's seniors will be held to a higher standard, particularly in reading. here's what to know..

phd mathematics abroad

Thousands of Palm Beach County students in line to take an alternative path to graduation by using their college entry exam scores are at risk of falling short as the state embraces repeatedly delayed, more challenging standards.

For years, Florida has allowed students who fail the state's high school exams in math and reading to earn a diploma using their results on other tests like the ACT or SAT . But in an effort to increase academic rigor, the state Department of Education raised the graduation requirements before the class of 2024 even entered high school.

For the last several years, legislators delayed the implementation of those new requirements in an effort not to kick students who were already down due to the pandemic. The state even waived some testing requirements for graduating classes in 2020 and 2021.

However, this year's seniors, including roughly 13,000 in Palm Beach County, will be held to the higher standard — particularly in reading.

"(The state) has been trying to do this for a number of years," said Adam Miller, a senior chancellor at the state Department of Education, speaking at a Feb. 21 meeting of the school district's academic advisory committee. "For last school year, at the end of the school year, they did relent and leave things mostly as they were, which was great, and we see that reflected in our graduation rates."

From 2023: Last-minute change in Florida graduation requirements helps 700 Palm Beach County seniors

Last year, district records show that 37% of seniors across Palm Beach County used the alternative test scores, often referred to as "concordant scores," to get their diplomas. But for some groups of students, that number was far higher:

  • 71% of students learning English used concordant scores to graduate.
  • 48% of Black students used concordant scores to graduate.
  • 45% of students who qualify for free or reduced-priced lunches used the concordant score requirements to get a diploma.

The higher bar to reach a diploma doesn't necessarily mean all of those students won't get to graduate, but Palm Beach County's data shows the new requirements will disproportionately affect the ability to graduate for students of color.

What are new reading requirements in Florida for 2024 seniors?

A majority of graduates will get their diplomas because they've met Florida's requirements: They've kept a 2.0 unweighted cumulative grade-point average, completed course credit requirements and achieved passing scores on the 10th grade Florida Standards Assessment for English Language Arts and the Algebra 1 or Geometry End-of-Course Assessment.

If a student does not pass the state reading or math tests, they can earn a concordant, or comparative, score on the common college entrance exams and still earn their diploma.

On the reading side, students who don't pass the language arts exam will now need to score a 480 on the SAT's reading and writing section. Last year, the required score was 430. The standard remains the same as last year for the ACT English and reading sections: Students must score an 18.

This year's requirements remove the SAT's reading-only section and the ACT's reading-only section as potential concordant scores. But they also added a new test, the Classic Learning Test, as an option. The state requires a student to score a 36 or higher on that test.

The Classic Learning Test is an exam that was first launched in 2016 and is popular with home-schooled and privately schooled students as an alternative to the SAT or ACT. The test markets itself as a step toward "reviving great education" in classical studies and texts. Its board of academic advisers includes conservative activists and people affiliated with religious schools like Hillsdale College in Michigan, NPR reported.

Last fall, Florida's state university system approved using the Classic Learning Test score for undergraduate admissions, making Florida the first state in the country to do so.

What are Florida's new math requirements for 2024 seniors?

On the math side, graduation requirements remain the same as last year for the following exams:

  • PSAT Math section: Students must score 430 or above.
  • SAT Math section: Students must score 420 or above.
  • ACT Math section: Students must score 16 or above.

This year's requirements remove the option to use the Postsecondary Education Readiness Test, given to all high school sophomores, as a graduation alternative. Students caught in a lurch in 2023 took the test repeatedly in the final weeks of school to score the 114 required to graduate.

Finally, the quantitative reasoning section of the Classic Learning Test was added as a means to earn a concordant score this year. Students need to score 11 or higher to graduate.

Will there be any changes to graduation requirements in 2024?

School leaders confirmed this month that they don't expect any last-minute changes to the graduation requirements this year, but said they're confident in their test-prep programs for students who will use concordant scores to graduate.

"We're going to be under the new rules and expectations," Ed Tierney, the district's chief of schools, said at a March 6 school board meeting. "We've put a lot of time into graduation rates. ... High schools do a great job of preparing students for that. We push hard on the SAT and the ACT and refine our instruction on that."

Tierney also mentioned the school district has "found a path" to helping students prepare for the Classic Learning Test, specifically in the math section. He didn't provide any more details at the March 6 meeting.

Katherine Kokal is a journalist covering education at The Palm Beach Post. You can reach her at [email protected]. Help support our work, subscribe today!

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