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Mathematics Personal Statement Examples

What is a maths personal statement?

Your mathematics personal statement should describe your motivations for wanting to study this subject. It tells the university who you are and why you will make a good maths student. Whether you're applying for an undergraduate or postgraduate course, you need to paint yourself in the best possible light to convince admissions tutors that should offer you a place on their course.

How do I write a maths personal statement?

We recommend starting your maths personal statement by making some note about your skills, experience, hobbies/extracurricular activities, strengths and ambitions for the future. Our personal statement template can help you structure your thoughts into sentences and paragraphs that flow well together, and looking through our top rated examples will show you what makes a successful personal statement.

Starting your first draft in the summer holidays will give you plenty of time to re-draft your statement, and proofread it for spelling and grammar. You will need to go through at least three or four revisions before you have a final, polished draft that you can submit on your UCAS form.

Once you're happy with it, don't just rely on spellchecker for spelling and grammar errors. Read your statement thoroughly several times before pasting it into your UCAS form.

What should I include in my maths personal statement?

• Be specific and try to give examples of your problem-solving and analytical skills, both of which are important in a maths degree.
• If you’re applying for a joint honours, e.g. maths and finance, then tailor your statement so you relate it to both of these subjects.
• A good maths personal statement might mention a role of responsibility, such as leader of your student maths club or head boy/girl at your sixth form. Or for a maths and finance personal statement, you could mention managing money at your Saturday job and what you learned from this.
• Any hobbies or other activities you are involved in outside of school should always be linked to your maths course. If you don't feel something is relevant, then don't mention it - remember you only have a limited space of 4,000 characters, so every word has to earn its place in your statement. Don't waste them on your grade 6 violin, or your collection of royal family souvenirs.

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Mathematics Personal Statement Examples

Hopefully, these examples of Mathematics Personal Statements will help you create a unique statement for your UCAS application . 

I have always been fascinated by the world of mathematics and its ability to explain and understand complex phenomena in the world around us. From a young age, I have been drawn to the beauty and elegance of mathematical concepts and their ability to provide answers to some of the most challenging questions we face.

At school, I have excelled in mathematics, consistently achieving top grades in my exams and regularly participating in extra-curricular math competitions. I have particularly enjoyed studying topics such as calculus, algebra, and geometry, and I have found that my natural aptitude for problem-solving has allowed me to excel in these areas.

In addition to my passion for mathematics, I have also developed a strong interest in computer science. I have taught myself several programming languages and have enjoyed using these skills to create my computer programmes and simulations. I believe that the combination of my mathematical knowledge and computer programming skills would make me an ideal candidate for a degree in mathematical sciences.

As a university student, I am eager to continue exploring the fascinating world of mathematics and to push myself to the limits of my abilities. I am confident that a degree in mathematical sciences would provide me with the knowledge and skills necessary to pursue a successful career in this exciting and rewarding field.

I am applying to your university because I believe that it offers an outstanding programme in mathematical sciences, with a strong emphasis on both theoretical and practical applications. I am particularly impressed by the diverse range of research opportunities available, and I am eager to participate in cutting-edge research projects that will challenge and inspire me.

As a student with a passion for mathematics, I am excited at the prospect of studying at such a prestigious institution and I am confident that your programme would provide me with the knowledge and skills necessary to pursue a successful career in this field.

At school, I have consistently achieved top grades in my mathematics exams, and I have regularly participated in extra-curricular math competitions. I have a particular interest in topics such as calculus, algebra, and geometry, and I have found that my natural aptitude for problem-solving has allowed me to excel in these areas.

In addition to my passion for mathematics, I have also developed an interest in computer science. I have taught myself several programming languages and have enjoyed using these skills to create my computer programmes and simulations. I believe that the combination of my mathematical knowledge and computer programming skills would make me an ideal candidate for your degree programme.

As a university student, I am eager to continue exploring the fascinating world of mathematics and to push myself to the limits of my abilities. I am confident that a degree from the University of Cambridge would provide me with the knowledge and skills necessary to pursue a successful career in this exciting and rewarding field.

I am particularly impressed by the wide range of research opportunities available at your university, and I am eager to participate in cutting-edge research projects that will challenge and inspire me. I am also excited by the opportunity to study at such a historic and prestigious institution, and I believe that the intellectual environment at Cambridge would be the perfect place for me to grow and develop as a student.

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Sample Math Personal Statement (Oxbridge)

by Talha Omer, MBA, M.Eng., Harvard & Cornell Grad

In personal statement samples by field | personal statements samples by university.

The following personal statement is written by an applicant who got accepted to top graduate programs in math. Variations of this personal statement got accepted at Oxford, and Cambridge university. Read this essay to get inspiration and understand what a top math school PS should look like.

Sample Math Personal Statement for Oxbridge

The challenges involved in problem-solving have always been vital to my passion for studying Mathematics. However, the first beauty of mathematics I observed was in my childhood when I first encountered Geometry.

It was a simple but exciting problem relating to circles; thus, I got myself attached to the subject. I have always been a bright student in Mathematics, and later on, I realized that Mathematics is my thing. Besides Mathematics, no other field grabs my attention. I have also won the National Calculus competition in my country.

Throughout my voyage, I have kept my studies limited to the curriculum. Still, I have also explored different things, which gave me significant exposure to what we have accomplished in Mathematics and what is left for us to do.

I eagerly want to contribute to the development of Mathematics. My current area of research is regarding simplicial complexes, which borrow ideas from Graph Theory and Combinatorics. I want to pursue my education by enrolling in the Math program at Oxford and eventually do Post Doctorate in Pure Mathematics. My area of interest lies in Algebraic Topology and Algebraic Geometry. I want to become a researcher and devote my life to the nourishment of Mathematics.

Aside from that, I am very fond of the Birch and Swinnerton-Dyer Conjecture, which motivated me to choose the abovementioned areas. I learned about this conjecture when searching for methods to determine the solutions of polynomials having two variables. After digging further into things relating to this conjecture, I was amazed and startled by the beautiful work of Bryan Birch, Peter-Swinnerton Dyer (pioneer of the conjecture), Louis Mordell, Gerd Faltings, Manjul Bhargava, and Victor Kolyvagin. Their astonishing and brilliant results grabbed my attention, and I got myself attached to the conjecture.

It is surprising that different branches of Mathematics, such as Number Theory, Topology, and Algebraic Geometry, are connected abstractly. In my leisure time, I’m continuously exploring what has been accomplished so far regarding this conjecture and developing the background of Mathematics that I would need to understand and work on the conjecture. I’m eagerly looking forward to meeting this challenge in life.

Accomplishing such dreams in my country is nearly impossible as we have limited resources and no exposure to modern tools of Mathematics. However, I am much inspired by Oxford University and find it an ideal place for me to pursue my further education. Oxford has a phenomenal reputation globally and has played a significant role in current research and development of Mathematics.

I am very fond of Professor XYZ and Professor XYZ, currently members of the senior faculty at Oxford. There are of research that coincides with my area of interest. Professor XYZ’s work on 3-Dimensional Topology and Differential Geometry is advanced. His lectures on youtube are very insightful and give an excellent understanding of the subject.

On the other hand, Professor XYZ’s expertise in the subject of L-functions would help me understand the BSD conjecture. Besides that, the atmosphere of Oxford is also very appealing as it focuses on the character-building of its students. There are several societies at Oxford for this purpose, one of which is the Oxford Invariants Society. Such activities keep the student attached to people outside their field and allow them to communicate knowledge between them. The exposure of a student is bound to increase in such an atmosphere. Unfortunately, the universities in my country lack such activities, and I dreamed of such an atmosphere. It would be an honor to educate myself in such an ideal institute under the supervision of the mentioned Professors.

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Undergraduate Personal Statement Example: Mathematics

By taking the time to study personal statement examples , you can learn how to write and structure your own application. Basically, you can pick up some great tips on how to write a personal statement by examining others.

And, of course, examples of personal statements can be valuable when applying to a university or college course. 

But with so many university personal statement examples available, how do you know if you’re reading a good one?

Undergraduate personal statements should highlight relevant academic and practical experience, academic skills, ambitions and suitability for the degree field. This undergraduate personal statement example for Mathematics clearly illustrates these three critical elements.

Undergraduate degree personal statement examples are sometimes referred to as personal mission statements or statements of purpose , so if you’re tasked with writing a personal mission statement, the following example will work for you.

I’ve broken down this personal statement example section by section, with a commentary on each element. 

That way, you’ll see its strengths and weaknesses and get some inspiration for your own personal statement .

Once you’ve read the personal statement example and analysis, you’ll be able to download a pdf of the whole document, to use as inspiration for your own!

Personal Statement Example: Introduction

“Whilst an inspiring and encouraging teacher nurtured my formal interest in maths, my dad ignited my love of finding the logic in patterns and puzzles. I’m someone who enjoys solving problems and has always been interested in how different networks and systems operate, inspiring my interest and engagement in logistics. Participating in workshops with the Office for National Statistics gave me a clear insight into the techniques required to analyse trends in data and illustrated a range of potential career opportunities. I am motivated to study Mathematics as I consider it vital to the development of numerous critical industries and for solving global problems such as rising fuel costs and staff shortages. By completing a Maths degree, I aim to gain extensive knowledge and skills that will prepare me to meet a range of professional challenges.”

My Commentary and Analysis 

This undergraduate personal statement example for Mathematics begins in a traditional but effective way. The writer has referenced an inspiring person that acted as an early mentor or introduced them to the subject they are now applying to study at university. 

This personal connection works very effectively, especially as it really just takes the first sentence to hook the reader. This tactic is a useful one, but do make sure you limit any references to people other than yourself, or you may begin to inadvertently write a personal statement about someone that isn’t you!

The writer goes on to talk about logistics, which is clearly a discipline they are keen to pursue within mathematics, and from there, connect their interest to tangible experiences that show engagement with the subject outside of the classroom. This is an excellent strategy, as it shows motivation, a depth of knowledge and a strong array of applicable, transferable skills.

The writer finishes the introduction by outlining their professional ambitions, although in a very general way. This isn’t a tremendous problem at the undergraduate level, but it would have been valuable to have had a little more clarity. What exactly does this candidate know about the various fields they might enter? Do they understand exactly how a degree will help them achieve their goals? These things are implied but not explicit.

If you’re struggling with your personal statement introduction, check out my article on how to write perfect opening paragraphs here .

Personal Statement Example: Section 2

“My Grade 8 in Mathematics has provided an excellent foundation for further study, and the data analysis knowledge I acquired has deepened my potential for managing quantitative and qualitative data research. In GCSE Computer Science I gained a good knowledge of the coding program Python, which will be important in this degree. I have excellent independent learning and collaborative skills, maintain high academic standards and always put in maximum effort. I continuously learn and recap critical curriculum concepts and am diligent with my homework and revision, which is a valuable undergraduate skill. My Business A-level course requires me to analyse data from tables, evaluate financial situations and discuss appropriate actions and strategies to improve profitability and stability. In Geography, I value the opportunity to analyse trends and patterns from maps and images. As part of my academic research, I am carrying out an NEA project requiring me to collect and analyse data. I look forward to developing my understanding of these skills and applying complex formulae to generate a specific outcome across various contexts.”

My Commentary and Analysis

The writer refers to related academic qualifications and courses in this next section, but more than this, they focus on the value of the experience and knowledge gained in relation to the subject they intend to study. This is the key to every good personal statement example: the relevant value gained from an experience is more effective than simply describing the experience itself.

They then focus on some higher-level coding and data analysis skills which are exceptionally relevant to their application and impressive at this level. They make the link with valuable transferable skills as well: evidence that they will flourish in higher education.

The writer manages to weave in examples of academic research, real-world awareness and collaborative skills, all of which are relevant and exactly the content an admissions tutor expects to see. More than this, the writing style is concise and detailed and continually works to establish credibility and validity in the mind of the reader. 

A very capable section that reflects the maturity and broader knowledge of the candidate.

If you’d like to learn more about how to structure your personal statement or statement of purpose , check out my awesome Personal Statement Template eBook here . It’s full of detailed examples of what to include!

Personal Statement Example: Section 3

“Completing work experience at Marshall Logistics, I learnt about freight industry operations and developed my collaborative and listening skills. This included evaluating factors behind customer acquisition, vehicle choice concerning the transport of materials and contemporary issues affecting the business, such as rising fuel costs. I also familiarised myself with numerous operating systems including delivery tracking and efficient import/export analysis, dealt with invoices and solved logistical problems. Learning to work accurately at a fast pace, managing a large volume of work and dealing with the stress of unfamiliar and challenging environments are skills that I have developed as a result.”

Having undertaken work experience is an increasingly important aspect of university preparation, and one which is becoming widespread for a range of courses. Once the preserve of medicine and practical subjects, admissions teams now frequently expect to see evidence that applicants have gone ‘out there’ and seen how their proposed subject can be applied in the real world.

The writer has made this quite a descriptive passage, almost a list of the duties they undertook, but this is then put into context when they explain the value of what they learned. 

There isn’t any real suggestion of how these skills or experiences might be of value on the degree course they are applying for, but the examples tie in with the earlier mention of logistics, so the reader can certainly see a relevant theme emerging, which is likely to reassure them of this candidate’s potential for success.

Check out lots more examples of personal statements here , and see how they can inspire your application!

Personal Statement Example: Section 4

“I work well independently, taking responsibility for my organisation, timekeeping and learning. This has been evident in my piano lessons, where I had particularly challenging pieces of music to learn for my Grade 6 exam. When practising, I prioritised work on challenging sections to improve the quality and command of my interpretation. I also had to show great resilience at secondary school in the years after my dad passed away. I maintained an excellent attitude to learning and a high standard of work despite going through a difficult time. During lockdown, I completed my work to a high standard and my teachers praised my commitment. Applying these skills during my degree will be critical because modules such as Vector Calculus are likely to be challenging.”

My Commentary and Analysis: 

A slightly weaker paragraph. The co-curricular activities mentioned do add to the overall picture of the candidate, but the transferable skills mentioned are quite general and a bit of a stretch in terms of application. 

This makes the reader think that either this person doesn’t have a developed level of social skills and may lack the maturity needed for higher education or that they are filling the word count with extra elements because they don’t have enough content to add which relates directly to their proposed major.

The writer then makes a connection with a generic course topic (it is not advisable to refer to specific topics in the UK undergraduate admissions system), which shows awareness of the kinds of course elements they are likely to encounter and reassures the reader that they have an understanding of the courses they are applying for.

The one thing that all successful personal statements have in common is that they are concise, engaging and accurate in spelling, punctuation and grammar. Consequently, I always recommend Grammarly to my students and clients. 

It’s an outstanding tool for ensuring your personal statement is rich with detail whilst hitting those all-important word limits. Check out the free version of Grammarly here , or hit the banner for more information.

Personal Statement Example: Conclusion

“After graduating, my extensive knowledge of maths will enable me to succeed in a job requiring a high percentage of problem-solving, potentially in the finance industry. My motivated and informed approach gives me a clear understanding of the steps I need to take to achieve this goal. Undertaking a Maths with Finance degree will enable me to support people and businesses by finding solutions to their problems, and I am confident that my diligent and supportive approach will make me a valuable addition to your university.”

The writer identifies the skills and qualities that they aim to possess as a result of studying this subject and connects that with what potential employers are looking for. This shows that they have an understanding of the course and its potential outcomes, which, again, admissions readers expect to see.

The rest of the section is more general, less specific, and recaps information and ideas mentioned previously. This makes it less effective, and it would be far better to introduce new material here which strengthens the application. Perhaps a reference to research and reading or a clearer description of the kinds of companies or industries the writer might be keen to explore.

Equally, the writer could have made more detailed reference to exactly what they hope to contribute to the university environment, as this is only referenced in general terms. By outlining the value they hope to offer, a candidate can often evidence their suitability more convincingly.

In summary, this is a strong undergraduate personal statement example, which would be improved with some greater reference to academic mathematics skills and experiences.

For more great advice, check out my article on writing an excellent final personal statement paragraph here .

Click here or on the banner below to get your free download of this complete personal statement example . 

Whether you’re looking for personal mission statement examples or an example of personal purpose statement, I hope this personal statement example has been helpful. Above all, I wish you every success in your academic career. 

If you’d like to work with me to develop your personal statement 1:1 and write a powerful mission statement, I’d be delighted to hear from you. 

Find out about my personal statement support services by clicking here or on the image below.

Research and content verified by Personal Statement Planet .

David Hallen

I've worked in the Further Education and University Admissions sector for nearly 20 years as a teacher, department head, Head of Sixth Form, UCAS Admissions Advisor, UK Centre Lead and freelance personal statement advisor, editor and writer. And now I'm here for you...

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Successful Personal Statement For Cambridge Mathematics And Physics

Last Updated: 6th April 2022

Author: Rob Needleman

Table of Contents

Welcome to our popular Personal Statement series where we present a successful Personal Statement, and our Oxbridge Tutors provide their feedback on it. 

Today, we are looking through a Mathematics and Physics applicant’s Personal Statement that helped secure a place at Cambridge University. The Mathematics and Physics Course at Cambridge offers the opportunity to study a wide range of subjects: everything from abstract logic to black holes.

Read on to see how this strong Personal Statement addresses both maths and physics to showcase a high level of their ability. 

Here’s a breakdown of the Personal Statement:

SUCCESSFUL?

The universities this candidate applied to were the following:

INTERVIEW + REJECTED

Enrolling on our Oxbridge Maths comprehensive Programme will give you access to Personal Statement redrafts. 

Your tutor will give you actionable feedback with insider tips on how to improve and make your Personal Statement Oxbridge quality for the best chances of success.  

Mathematics And Physics Personal Statement

Since childhood, I’ve always loved complex puzzles, logical problems and challenges. Later on I discovered mathematics and physics which offered a lot of interesting problems and I enjoyed spending time on them. I loved the fact that real-life events, such as throwing a ball, could be described by a virtual language created by humans. However the most impressive fact for me was when I discovered that mathematicians and physicists can predict events just by solving equations. That’s is when I decided that maths and physics are what I want to do in life to contribute to the world.

Even though my passion in mathematics started very early, I have struggled to get to where I am now. When I got into Bratislava’s best gymnasium in mathematics I found myself at a position I had never been before. That was the first time I wasn’t the best in mathematics in our class, in fact I was one of the weaker students in this field. However over time I made my way to the top, but I still couldn’t surpass my classmates. When I got to the 5th grade, I realized why I didn’t succeed. That year we got a new mathematics teacher and she opened my eyes and showed me the beauty of maths. The most important thing that happened that year however was when I won the regional mathematics Olympiad and they invited me to KMS which is a camp for people interested in mathematics. There I realized that the school mathematics is just a fraction of the possibilities in this area. However the thing that I believe helped me in mathematics is that I started enjoying it. Rather than solving a Sudoku or crossword puzzle I was solving geometry problems. Since then I have won many prizes including bronze medals from the Middle European Mathematical Olympiad and the International Mathematical Olympiad.

Besides maths and physics I also love playing the piano and practicing Kung Fu. I have played the piano for 13 years and my personal favourites are Chopin’s Nocturnes. I may not be great at it, but playing the piano helps me relax and forget about my worries for a while. I practice Kung Fu mainly for health. My favourite style is Bagua. I learned that Kung Fu is not only a martial art, but a way of living. Besides Kung Fu and the piano, I also enjoy teaching kids interesting facts or problems in mathematics. During school, I teach a mathematics club and I want to teach the kids that mathematics isn’t just numbers.

Every summer I help organize a mathematics day camp for children. Mathematics may be the subject which I’m best at, but I don’t want to be ‘just a mathematician’ in the future. Since I was little, I’ve always wanted to do something great like solving global issues or inventing something useful, however I realize that it is very hard to achieve this with pure mathematics. People advised me to go study economics and financial mathematics so I could have a good job and earn money, but that is not what I want to achieve in life. My goal is to shape the world and make it a better place for future generations. This is the reason I want to study physics or engineering. I started doing physics two years ago and since then I participated and won some competitions including the Regional Physics Olympiad. To be better at physics I started reading Feynman’s lectures which helped me a lot, but also taught me that there is much to learn out there about the world. The reason why I want to study in the UK is because there are many opportunities compared to Slovakia. I have many friends who study there and heard from them that it’s an amazing experience. The most important fact, though, is that in the UK I can study and work with people who are ambitious. I know what I want to achieve in life, and even though I don’t yet know exactly how to get there or where ‘there’ will be, I believe that a UK university education will steer me in the right direction.

For more inspiration, take a look through our other successful Personal Statement a nalysis articles:

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Good Points Of The Personal Statement

This is a very good statement. The statement is well-written and structured. The student describes their life experiences without making the statement sound like a list of achievements. This is achieved because the student explains every experience described, rather than listing their life experiences with no context. It is clear that the student has many talents and achievements, and these are stated in a humble manner that does not make it seem as though the student is bragging. It is clear that the student is aware of the significance of their decision to study outside of their native homeland and the challenges that this will bring. The student explains their reasons for applying to study a dual honours course and does not neglect either discipline.

Bad Points Of The Personal Statement

The student uses the word ‘gymnasium’ instead of school/college. Whilst this may be the term used in Slovakia, in the UK a ‘gymnasium’ is a place where people exercise and its use in this statement is somewhat confusing. The way in which the student writes about their personal experiences makes the statement sound somewhat like an autobiography.

UniAdmissions Overall Score:

★ ★ ★ ★ ★ 

This is a very good statement. The student clearly has personality and a high level of ability. Strange terminology used can be excused due to the fact that the student’s first language is not English, and that the vast majority of the statement is very well-written.

This Personal Statement for Maths and Physics is a great example of how to showcase a high level of ability. The candidate’s interest and achievements are clearly shown which is vital to Admissions Tutors.

Remember, at Cambridge, these Admissions Tutors are often the people who will be teaching you for the next few years, so you need to appeal directly to them.

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Personal Statement

Unlike undergrad applications, the Statement of Purpose (SOP from here on) is meant to be more "professional" than "personal". The purpose of SOP is literally to state your purpose for joining a program: what kinds of math are you interested in? Do you have experiences (research, reading UROPs, classes) in the areas of math you are hoping to pursue? Why are you applying to this specific program, e.g. are there (tenured) professors doing active research in the things you are interested in? In other words, your goal is to convince the professors reading your SOP that the program is a good match for you in terms of your research interests, and to sneak in relevant experiences you have to prove that you can survive (and succeed in) the program.

While there is no "best" template for SOP, there are things that you definitely should avoid. For instance, it is not a good idea to try too hard to impress, especially by writing about mathematical ideas that you don't understand fully. The professors are agile at catching those. It is also generally not a good idea to state that you are only interested in working with one particular professor in the program, unless this is what you really intend to convey. That one professor might not be taking students and your interest might change, so it would make you seem a "riskier" candidate .

How to Apply to Math REUs

For undergraduates potentially interested in going to graduate school for math or just curious about math research in general, REUs are a great way to gain research experience. I attended two REUs in the past and had great experiences, so I’ve put together this page in hopes that it might be helpful to anyone who’s considering applying. A lot of inspiration for this page came from Alex Lang’s NSF GRFP page , which is an excellent resource if you are a junior and plan to apply for the NSF next year!

What is an REU?

Outline of application process and components, factors to consider when applying, general tips, recommendation letters, personal/research statement, what to do after you’ve been accepted.

Disclaimer: Everything stated on this page is my personal opinion; it is not the opinion of any institution or REU program that I’m affiliated with. This advice is based on my own limited personal experience. Any suggestions for improvements are very welcome.

Link to my homepage

Links to other peoples’ REU application advice: Math REU Advice , Professor Courtney Gibbons , Rose-Hulman REU

An REU (research experience for undergraduates) is a summer program designed to introduce undergraduates to mathematical research. They typically run for about 6–8 weeks, and usually pair an undergraduate or a small group of undergraduates with a mentor (faculty member or postdoc or grad student) to work on a project. REUs are a full-time commitment—a stipend is provided (usually restricted to US citizens or permanent residents), and most places will provide housing and/or meals. In addition to research, REUs will often organize social events and fun excursions.

There are several websites listing the REU programs running each year. Be aware that these lists may not be complete and the programs listed might not necessarily take place every year!

• Math REU Programs
• NSF REU Sites
• AMS List of Math REU Programs

Most REU application deadlines are in February , but it’s important to start early and not wait until the last minute. Winter break is a good time to work on applications, but most applications should be up by November and it never hurts to start thinking about them earlier. You should ask for recommendation letters early (at least a month before the deadline) and order transcripts in advance, as it may take a while to process them.

• Personal information and CV: not all programs require a CV but it’s generally useful to have, especially if you’re applying to grad school
• Transcript (usually unofficial ones are ok): some programs also ask for a separate list of math classes you’ve taken (with grades and textbooks listed)
• Personal/research statement
• 1–3 letters of recommendation (usually 2): in my opinion this is the most important part of your application

Read the project descriptions carefully to see what kind of math is involved. Looking at projects from previous years is helpful, and it’s also useful to look into what kind of research the project leader does, as the REU project they supervise is often related to their own research. It’s important to be open-minded— don't limit yourself to topics and areas that fit your current interests . There is a huge amount of interesting math out there, and an REU provides a great opportunity to learn new things.

The mentor’s style is also an important factor to consider. Do you want someone more hands-on or do you want to be more independent? How often do you want to meet your mentor and the rest of your research group? Do you want a one-on-one experience or do you want to be in a larger group? Do you care if you’ll mostly be working with a grad student or with a professor?

• Some programs focus on an immersive learning experience, where you pick one topic and study it in depth. The level of the material and the extent to which you learn about it are both greater than what is covered during the ordinary school year.
• Some programs focus on original math research, which otherwise students typically don’t experience until after the first few years graduate school (unless you do a senior thesis or some other project). The REU mentor will often provide a lot of guidance, and it may be useful to see what research is like before applying to grad school.

There is no “better” type of program—it all depends on what you want. The two descriptions listed above are very broad generalizations that do not exhaustively describe all programs. If possible, look at the work that people from previous years have done—sometimes this is posted on the REU website, and sometimes past participants will post their work on the arXiv , which you can find by searching for their names.

Make sure you’re eligible before you apply! Many REUs will not accept international students due to funding restrictions, and some will take international students but ask them to find their own funding (for example through their home institution). It might still be worth applying since some programs do have the funding to admit some students who are not permanent US residents—just be honest about your status and see whether or not they are flexible.

It’s important that you meet the requirements for background knowledge. Some programs do not require any background, some explicitly state that they require a linear algebra and proof-based class, and some specifically target students who have not taken any upper-level math. Some programs have minimum GPA requirements. Some programs are only open to students enrolled at the home institution.

As you’ll be living here for several weeks over the summer, location can be an important factor—what is the weather like in the summer? How close is it to your home and/or home institution? How are you going to get here, and is transportation covered by the program? Are you interested in attending graduate school here?

Make sure you don’t have any conflicts with the start and ends dates of the program. Some REUs are more flexible about this than others, and it doesn’t hurt to ask.

REUs have stipends that vary depending on the program. Some cover housing and/or food costs, and some provide support for transportation to/from the program. Some programs that are not NSF-funded are able to provide financial support to international students.

Don’t worry if you don’t know all the specifics at the time you’re applying though—your goals and priorities might change between the time you apply and the time you have to accept an offer (usually around early March).

The application process is free, so don’t limit yourself to just a few programs. At the same time, applying is time-consuming and a lot of work, and it’s a bad idea to just blindly submit the same application to a bunch of different programs. I would recommend picking 1–2 top choices (it’s ok if you aren’t 100% set on one specific program when you submit your applications!) and applying to no more than 10 total (all of which you are genuinely interested in and really do want to attend). Make sure you carefully follow the instructions for the programs that you apply to.

REUs are extremely competitive, with hundreds of students applying for a very limited number of spots. Don’t be discouraged if you don’t get into one your first try! These programs are very competitive, and this is by no means a comment that you’re somehow not “good enough”—there’s often a lot of luck involved, and sometimes there might be something specific that the coordinators are looking for. If you don’t get into an REU, you can ask a faculty member at your home institution if they would be willing to oversee a summer project or reading course with you. Keep in mind that REUs are not necessary for going to grad school or for doing math research in the future, and there are many other fulfilling activities that you can do over the summer.

This is the most important component of your application (in my opinion). Most REUs require 1–2 letters of recommendation, and some will require a letter from a previous REU advisor if you’ve participated in an REU before. It’s very important that you find someone who can write you a detailed and enthusiastic letter, and it’s useful to show them your application before they write the letter so they know how you’re presenting yourself. It is better to have a glowing letter from a less senior person who knows you well than it is to have a lukewarm letter from a famous person who doesn’t know you.

It’s ok to ask for letters from postdocs, but I would avoid asking graduate students for letters. Don’t ask for letters from people whose classes you didn’t excel in—you want someone who can speak positively about your mathematical ability and potential to do research!

Some potential letter-writers could include:

• Someone who you have directly done research with already, e.g. previous REU mentors or a faculty member at your institution with whom you did a project during the school year. This doesn’t have to be limited to math, for example if you’ve worked in a lab before a letter from the PI would make sense. According to a professor I talked to before writing this, “People want to see the ability and drive of the applicant. In some sense, math knowledge is not as important as these things.”
• Instructor of a math class who you directly interacted with and who remembers you, e.g. a class where you asked a lot of questions or went to office hours, someone who oversaw an independent reading course
• Other faculty members who you know and have interacted with, if they have something concrete to say.

Please request your letters at least a month in advance of the deadline—your letter writers are busy people! Make sure you have your documents prepared in advance, since, to repeat Ravi Vakil’s advice, it is in your interest to make your busy letter writer's job as easy as possible . It is also helpful if your letters mention what you are like as a person, since teamwork and collaboration are important parts of an REU and so coordinators may be less likely to choose someone who does not work well with others. ( Thanks for Colin Defant for this tip! )

If your letters haven’t been submitted close to the application deadline, send a friendly and polite reminder—it is your responsibility to remind your letter writers of the deadline. Be sure to thank your letter writers afterward, and keep them updated.

Links to other peoples’ advice about recommendation letters: Professor Ravi Vakil , Professor A.J. de Jong

• Why do you like math? Be specific about why you find it interesting and how you became interested in it. Citing specific examples (e.g. a class or a theorem) is better than something generic and broad like “math is beautiful”; presumably everyone else applying for the REU thinks so too.
• Why do you want to do research this summer? Don’t write a generic statement that doesn’t mention any of the specific projects and why you are interested in those projects in particular. It’s tempting to reuse the same statement for different programs, but you should make sure your statement for each program that you apply to includes specifics and makes it clear that you really do want to attend that particular REU.
• Talk about your previous research experience (if any)—what did you get out of the experience, what was the problem studied, what results did you get, and how did you go about solving the problem?
• Talk about why you are interested in the specific project or area of research that the REU is about. Try to be specific rather than generic. ( Thanks for Colin Defant for this tip! )
• Mention any previous coursework and independent reading you’ve done that directly relates to the research project. Again, specifics are good.
• If you’ve had previous experiences where you’ve worked with others on a research team, it’s good to mention this teamwork. Most REUs have students working together in groups with one another, so it’s important for the organizers that you be able to work the other participants.
• What are your plans after graduation? How will this REU contribute to them?
• This (and potentially letters) is the place on your application where you can explain poor grades if needed, but don’t spend too much space on it.
• Ask another person to proofread it!
• Anonymous student, UMich 2022 [cover letter]
• Kenneth DeMason, UChicago 2019 [statement of interest]
• Ryan Alweiss, Duluth 2016 [personal statement]
• Sarah Fleming, Emory REU 2016 [cover letter] [research statement]
• Daniel Vitek, SMALL 2013 (knot theory) [academic summary] [personal statement] [research statement]

If you have a personal statement that you are willing to share and would like for it to be posted to help other future REU applicants, please email me at lenaji [at] umich [dot] edu. (These essays can also be anonymized and have identifying information removed.)

Many programs have agreed to the Common Reply Date agreement, which means that students accepted to these programs will not be required to accept or to decline an offer until a fixed date that’s the same for all REUs in the agreement (usually in early March). This means you have until this date to make a decision—it’s a bad idea to accept an offer and then back out later.

If you have questions about a program and you cannot find the answers on the website, it may be reasonable to email the program administrator about them, especially if you've been accepted to the REU. If you’re waiting to hear back from somewhere else before giving a program a response, let the program director know this! In some situations it’s also appropriate to ask for updates on the status of your application, for example if you have to respond to an offer from another program by a certain deadline. Also, don’t give up hope if you don’t hear back for a while—sometimes more offers will be sent out if the initial ones aren’t all accepted. On that note, if you’ve been admitted to an REU that you are certain you will not attend, you should decline it as soon as possible so that they can admit other applicants.

If you’re having difficulty deciding where to go, don’t hesitate to talk to people who’ve participated in the past or attend the institution where the program is hosted. Emailing is a good way to get specific information too—some people might ignore your email, but others may be happy to reply and share their experiences or link you to the project that they worked on.

Good luck with your applications!!

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What to include in a Personal Statement

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Personal statement example mathematics personal statement.

Submitted by Yusuf

Mathematics Personal Statement

Having conquered a problem, whether it be a simple Sudoku puzzle or a demanding A-Level question, there is nothing more rewarding than the "Aha!" moment. It is that moment of sudden insight or discovery that every Mathematician lives for; it's like reaching the top of the mountain after a long and arduous climb and having a clear view of a rare and truly magnificent scene. For some, doing Mathematics is like being on a never-ending hike, with no end in sight, but personally I think that the beauty of Maths lies not only in the spectacular view, but also in the challenging journey that leads up to it, which is filled with the excitement of discovery and the enjoyment of working towards understanding something new. It is this passion that energises me to further embrace my studies in Mathematics at university level.

For as long as I can remember Maths has always been my main academic interest. From learning to add and subtract at my primary school, to studying integration for my Mathematics A-level, I have always found this subject intriguing. My fascination with Mathematics has allowed me to excel in the subject throughout the years: I have been in the top group since primary school, I gained an A grade in my Mathematics GCSE at secondary school and most recently I attained a grade B at AS-level, all achievements of which I am extremely proud. During the school placement week, I secured a post with one of the UK's largest financial service groups and it was here that I had the privilege of shadowing a top business analyst. He took me under his wing and revealed how he used mathematics every day to complete a plethora tasks. For instance, he talked me through the importance of using probability to test the validity of economic and financial theories and hence I opted to study Statistics at A- level. Over the course of the week, guided by experts in their field, I continued to observe first-hand how mathematics played a key role in the daily operations of the business, from technological development all the way through to data analysis. I observed how they detect and rectify faults within an IT system and I followed financial professionals as they calculated monthly repayments using the amortization calculation formula.

My placement allowed me to appreciate mathematics in a whole new light, as a subject that it is not only one of the world's most ancient disciplines but a subject that it is still at the very core of our 21st century lives.

On weekends, I work eight-hour shifts for one of the world's largest restaurant chains: preparing food, serving on the tills and helping out in the dining area. Having worked in this fast paced environment for over a year now, I have demonstrated that I can keep on top of my revision, homework and chores, all whilst holding down a demanding part-time job. I juggle all these things by adhering to a strict timetable which still enables me the time for leisure. In the near future I aspire to become a teacher of Mathematics and studying Psychology at A level has helped me to understand the cognitive functioning of our minds which is essential for teaching. Volunteering as a young leader for my local scout group has also given me the leadership skills required when teaching.

I assisted young individuals on a camp, helping senior leaders to organise certain activities as well as cooking for the whole group, all which I extremely enjoyed. My personality, as well as my non-academic interests, define me as a creative and gregarious young man who works well independently and as part of a team.

I have a great work ethic and believe that a great attitude and hard work are key characteristics for success at university and a future career as a Maths teacher. My commitment to both my studies and my work highlights that I am a hardworking, dedicated and intelligent young man who possesses the energy and the drive to become a successful Mathematics graduate at your university.

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