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Be part of our vision to advance mathematical knowledge and understanding through impactful research.
Through our research we aim to create new applications and techniques that benefit the mathematics community and society in general. Our connections across the University, and with industrial partners and policymakers, will enable you to exchange ideas and build connections through your research. Our department provides a healthy span of research areas in pure and applied mathematics and statistics in a supportive environment for early career researchers.
Your research will culminate in a thesis on a topic agreed between you and your supervisor. Your thesis must contain a substantial piece of research which includes some original work. This could include new ideas, or original commentary on material which is currently considered to be at the forefront of mathematical knowledge.
Work on your thesis is guided by regular meetings with your supervisor. You'll be assessed wholly on the basis of your thesis, although your degree will normally include six 10-hour graduate-level courses provided by the MAGIC consortium graduate school.
At the end of your degree, you'll have up to 12 months to finish writing up your research.
Assessment for the award of the degree of either PhD or MPhil will be on the basis of your thesis and an oral (viva voce) examination. The expectation of the Department of Mathematics is that a thesis submitted for the PhD degree will typically consist of between 100 and 200 A4 sized pages and a thesis submitted for the MPhil degree will typically consist of between 70 and 120 A4 sized pages.
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100% of our departmental research outputs received the highest ratings (3* and 4*) in the latest Research Excellence Framework (2021).
Our dedicated support team will help you present yourself at your best for the next step of your career.
according to the Times Higher Education ranking of the Research Excellence Framework (REF) 2021.
Explore Mathematics funding for postgraduate researchers and wider postgraduate support.
You'll be assigned a supervisor who will guide your work throughout your time with us. We'll match your research interests to their area of expertise.
Throughout your course you'll have a supervisor to support you and guide your research.
Work on your thesis is monitored by regular meetings of the Thesis Advisory Panel (at least once every six months for a full-time student and once a year for part-time students). The panel will review the progress of your research and provide additional advice and guidance.
You'll be taught and supervised by staff who themselves produce internationally renowned research. There is a supportive atmosphere among the graduate students and staff are on hand to give you the help you need.
This course is run by the Department of Mathematics.
The Department of Mathematics is located in James College on Campus West.
To apply for these courses you should hold, or expect to hold, an undergraduate degree in which mathematics has formed a substantial part of the course, with a 2:1 or first-class honours (or overseas equivalent). Assessment of your application will include consideration of your full academic record, including progress on courses you are still studying.
If English is not your first language you must provide evidence of your ability.
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Take a look at the supporting documents you may need for your application.
Find out more about how to apply .
You don't need to provide a formal research proposal, but you should include a short statement on the area(s) of mathematics you wish to work in. In the personal statement section of the application form you should tell us about why you want to undertake a research degree. You should also include details of any relevant experience you have, such as a summer project or a topic that you have researched on your own.
There isn't a deadline for applying to join a research programme. If you're an International student, it's best to apply at least three months prior to your intended start date to avoid any delays in applying for your accommodation and/or visa. For both Home and International students, if you wish to be considered for Departmental funding, the main round of funding will be allocated in early March, with shortlisting and interviews taking place during February. Other sources of funding may have their own deadlines.
Before applying, please look at the lists of academic staff in each of our research groups to see if there is a prospective supervisor working in an area which relates to your own research interests. You're welcome to email a prospective supervisor informally to find out more about their research or to ask if they might be considering taking on a postgraduate researcher.
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As part of your application, you'll be invited to an interview (either face-to-face or online). If your first language is not English, you should be fluent enough to speak confidently about your intended area of research and discuss your mathematical background and interests with a panel of academics.
Our dedicated careers team offers specific support, including a programme of professional researcher development and careers workshops and 1:1 career support sessions. These will help to build up your employability portfolio and improve your skills and experience outside of your research work.
Our graduates have gone on to work in a wide range of sectors and with well-known employers including:
We offer a range of campus accommodation to suit you and your budget, from economy to deluxe.
Discover more about our researchers, our facilities, and why York is the perfect choice for your research degree.
Connect with researchers across all disciplines to get the most out of your research project.
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Find out all you need to know about applying to York
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I intend, in the somewhat near future, to engage preparing my graduate school applications for next year. I have worked hard to secure a solid application as far as coursework, grades, recommendations, etc., etc., though the statement of my research plan is very important to me (and, as a friend of mine who is on an admissions committee at a top school has informed me, it is far more important than most students believe it to be).
However, I find myself at an impasse; I have research interests which lie at the intersection of a broad array of wider mathematical disciplines (algebraic geometry, algebraic topology, a bit of number theory, representation theory, categorical algebra, and even model theory--I always try utilizing my mathematical toolkit in assessing problems in mathematical physics, as well).
If I just go on in my application listing these disciplines, I won't be taken seriously. Though if I am too particular, I risk appearing too specialized for the research being conducted at school X (and I am broadly interested, though this can be a boon if not taken too far).
So rather than expressing my interests (and potential interests) in the following way:
--algebraic geometry --algebraic topology --arithmetic geometry/algebraic number theory --n-categories/topoi --representation theory --etc., etc.
I would like say something like --motivic cohomology, etale homotopy, Hodge theory, stacks, D-modules (algebraic geometry/topology) --braided monoids and algebras (representation theory, category theory) --model-theoretic proofs of Mordell-Lang and geometric stability theory (model theory/arithmetic geometry) --n-categories, higher constructions with topoi (this ties in with my interest in etale homotopy).
What would be a good strategy here? I don't want to seem unfocused or naive, but I don't want to leave out any of the many things in which I have some degree of interest? (Many of the subjects listed here are things which I have actively pursued outside of the classroom to some degree, some of them at an advanced level--e.g., motivic cohomology and etale homotopy).
The "research statement" is a good idea, and usually serves two purposes.
(1) classifying applicants . You see, if the department is large, you want your incoming class to be balanced to match the faculty interests. Also, you probably want to have applicants in a field to be given an extra look by the faculty in that field, as they might be better at assessments of the coursework, letters from colleagues in the field, etc. In summary: use broad categories here such as "number theory" or "topology", as being too specific can give an impression that you are not very flexible and have already settled on working some specific field. This can hurt your chances. Listing too many (small) fields is confusing to the administration personnel, who might have only people in the first two or three fields look at your application (in whatever order you are listing them), which may or may not be your strong suit.
(2) research experience . Predictions on what the person wants to do in the future are notoriously unreliable and tend to hold in the very broad sense (people who are interested in doing logic rarely end up getting a Ph.D. in geometric analysis, although stranger things have happened). What is useful is your previous research experience. My advice: after you mention very broad area where you want to work on, give very detailed description or your previous research in any part(s) of that field. This will show that your interest is not hollow and allow you to impress the graduate committee members reading your application.
About the length - try to keep it under 2 pages. Really. Make a webpage with all supporting material (like preprints of your papers, course projects, files with your research presentations, etc.) in case someone wants to look at it. Include the link at the end of your research statement. This will save time to those who don't care to read all this stuff and give ample opportunities for those who do.
Some random thoughts:
1) I recommend that you discuss this with a professor who knows you well and show him drafts of your statement.
2) There is no reason why you need to submit the same research statement to every school. You can focus on different research topics, depending on the strengths of each department.
3) Your list of interests above is way too long and broad. I doubt it will be taken seriously. Focus on only one or two and discuss them in enough depth to show that you really know more than just the terminology.
4) I agree with everybody else that the statement should be no longer than two pages, no matter what.
5) Nobody expects an undergraduate to have much breadth or depth in their knowledge of mathematics. What you want to demonstrate is your desire and commitment to building greater depth in your knowledge of mathematics. Although you don't want to appear too narrow (and this does not seem to be a problem for you anyway), demonstrating breadth or an interest in breadth is far less important than showing the desire for depth.
Igor's answer applies to US where you have 1-2 years to hang around a department before you choose a supervisor, and, maybe some other countries (Canada?). In majority of EU institutions, you will be given a Ph.D. supervisor straight when you come in. This makes your research statement crucial, as a professor will have to agree to take you on.
Igor's advice on writing two pages is applicable in EU too: nobody will read more than this. Make it a good narrative but avoid banalities from Wikipedia. Also remember that in EU, you are likely to attend an interview and if you cannot back your statement up by some background knowledge, it will look phoney.
As has been noted, where you are applying might play a role; I will assume that you are applying to a US/Canada style school where the timeline is somewhat lengthened (4-6 years from admission to degree, at least) and where you might be expected to spend some time (a year or two) before "signing up" with a specific advisor.
I'll second most of Igor's comments: keep it relatively brief (no more than two pages or so), go into sufficient details in those areas you feel most strongly about to show that you actually know what you are talking about rather than just speaking generalities trying to sound impressive. I would also say that it would not be amiss to explicitly explain that your interests lie at intersections of fields (especially if you can make a clear and succint case for it showing you actually know what those interests are and why the many fields play a role, say one paragraph or two short ones at the most). It will not sound unfocused if you can make a clear case for why you want to have all those tools in your toolkit, or how you've used the varied toolkit in the past. As far as leaving stuff out, I would suggest picking around 3 major areas (covering as "wide" a territory as you can) in which you make your case, mentioning others. Of those three, again, pick one or two subareas in which you make your case, while mentioning others you might feel are important or you can say something interesting. But keep in mind the length.
Personally, I remember writing that I was interested in taking courses in several possibly disparate areas (logic, algebra, topology, analysis) which I had taken as an undergraduate, and making a case about the aspects I found common and appealing about them. I did get accepted on good terms everywhere I applied, so I guess it wasn't a bad strategy (back then, at any rate).
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is entirely electronic through the UA Graduate College. Completion of the application requires payment of the application fee to the Graduate College. If you are affiliated with a federally sponsored program serving under-represented students, you are eligible for a Graduate College Application Fee Waiver .
Application Deadline: January 1, 2024
*NOTE* Applications can be accepted after the deadline. Please contact the graduate office to inquire after the deadline.
To be admitted, applicants are expected to have completed the equivalent of an undergraduate major in Mathematics, with a minimum of one semester each of upper-division or higher level work, including one semester each of advanced analysis at the level of MATH 425A , abstract algebra at the level of MATH 415A , and linear algebra at the level of MATH 413 . A full year of Abstract Algebra, Real Analysis, and a semester of point set topology are preferred, and graduate coursework is valued.
PhD applicants should also have completed a semester of complex variables at the level of MATH 424 . GRE scores are not required, but applicants are welcome to include them if they believe they add to their application.
To be considered for admisson....
International applicants whose native language is not English must submit their scores from either the TOEFL (Test of English as a Foreign Language) or IELTS (International English Language Testing System) exams. For the TOEFL exam the minimum score to be considered for admission is 550 for the paper based (PB) TOEFL or 79 for the internet based (iBT) TOEFL. For the IELTS exam the minimum score to be considered for admission is a composite score of 7 with no subject area below a 6.
To be considered for financial support, international applicants whose native language is not English must submit scores from either the iBT TOEFL exam or the IELTS exam. (Applicants cannot be considered for financial support on the basis of the paper based TOEFL exam since it does not test speaking ability.) In addition to the requirements above, international students must have a minimum score of 24 on the speaking section of the iBT TOEFL or a minimum score of 7.5 on the speaking component of the IELTS. In addition to these minimum scores, phone or Skype interviews of applicants are usually required as well as further evaluation of the applicants English once he or she has arrived on campus.
On the graduate online application, you will be required to submit online the following items. Prior research experience is also valuable, but not required.
You should arrange for at least three letters of recommendation. The letters must be dated and may not be more than a year old.
Your statement of purpose should describe your interests in mathematics generally, and in The University of Arizona in particular. If you have done a research project of some kind, you should include some description of it in your statement.
Both domestic and international applicants must submit transcripts from all previous colleges and universities attended. Unofficial transcripts are accepted for the initial application. Official transcripts will be required upon admittance and the applicant will be notified by the Graduate College.
This list should include all your mathematics coursework at the junior level or higher. For each course please include the course number as it appears on your transcript, the topics covered and the textbook used. If the course is a graduate course, you should indicate this.
International applicants whose native language is not English must also submit their scores from either the TOEFL (Test of English as a Foreign Language) or IELTS (International English Language Testing System) exams. The minimum requirements for the scores can be found under the "International Students" section of this page. The test date must be within two years of the intended term of enrollment to be considered valid. You will be required to either upload a copy of your TOEFL (or IELTS) score report during the online application process or arrange to have ETS (Educational Testing Service) send your scores to us electronically. (School code: 4832; Department code: 0703)
You may take both the GRE and the GRE Subject Test in Mathematics, however they are not required. If you have chosen to take the exam you may either upload a copy of your GRE score report during the online application process or arrange to have ETS (Educational Testing Service) send your scores to us electronically. (School code: 4832; Department code: 0703)
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Graduate student research highlights.
MINNEAPOLIS / ST. PAUL (6/28/2024) – School of Mathematics PhD student Sylvester Zhang was recently awarded the Doctoral Dissertation Fellowship from the University of Minnesota. The Doctoral Dissertation Fellowship (DDF) gives the University's most accomplished Ph.D. candidates an opportunity to devote full-time effort to an outstanding research project by providing time to finalize and write their dissertation during the fellowship year.
Sylvester Zhang started the University of Minnesota Mathematics PhD program in Fall 2020, after completion of his undergraduate studies in Mathematics and Economics here at UMN. Zhang is interested in algebraic combinatorics. In particular he aims to explore topics like total positivity, cluster algebras, symmetric functions, and the flag manifold. Advised by Pavlo Pylyavskyy, Zhang is currently primarily focused on two distinct research topics: 1) an approach to Schubert polynomials using methods from mathematical physics, and 2) affine symmetric group and combinatorics of the affine flag variety. He says he is looking forward to continuing a career in academia and research after graduation.
The University of Minnesota DDF program aims to give the most accomplished Ph.D. candidates – those who have passed the written and oral preliminary examinations and their program coursework – an opportunity to devote full-time effort to an outstanding research project by providing time to finalize and write their dissertation during the fellowship year. The fellowship grants awardees a $25,000 stipend, academic year tuition, subsidized health insurance through the Graduate Assistant Health Plan for up to one calendar year, and a $1,000 conference grant.
Before applying to the Ph.D. Program at Mayo Clinic Graduate School of Biomedical Sciences, review our full list of prerequisite information and complete admission requirements. The admissions committee reviews all completed applications through a holistic review process to select candidates for interviews.
Candidates for the Ph.D. Program must meet the following eligibility requirements:
Suggested undergraduate coursework:
Our Ph.D. program prepares students to translate scientific discoveries into applications that improve patient care. This requires a wide range of skills, aptitudes, and characteristics. Along with the basic set of prerequisites, the track admissions committees take a holistic approach to admissions; meaning, they take into consideration the many factors that make up an applicant. These acceptance factors include:
The only pathway to matriculation at Mayo Clinic Graduate School of Biomedical Sciences is through application during the annual application window, September 1 - December 4.
The Ph.D. program does not accept transfer students; however, transfer credits for graduate courses taken at another institution may be considered if appointed to our Ph.D. program.
Apply between Sept. 1 and Dec. 4 for the following academic year.
To get in touch with the Ph.D. Program, fill out the form on the Contact Us page .
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and would love to engage them in my research activities as much as possible. 1. Applied Mathematics and Statistics I am mainly interested in pursuing research in applied mathematics and statistics. I developed a passion for interdisciplinary research while I was working on my Masters report in Statistics alongside my PhD studies in Mathematics.
1. When applying for PhD programs outside your home university, the university you apply to usually requires a research statement from you. However, this isn't the case when you reach out for a Bachelor's or Master's thesis topic to a professor you know from your home university (in mathematics). You would just approach a supervisor and express ...
Research Statement Hunter Spink [email protected] 1 Introduction My research interests are combinatorics and algebraic geometry. I have a total of 11 completed ... research in mathematics and physics. These connections cement the importance of each of these projects in their respective elds, not just in the context of the original ...
Writing a postdoctoral research statement should not be a huge exercise — Go on, pull the other one. In my experience, effective research statements for postdoc applications (in mathematics and computer science) are not that different from effective research statements for tenure-track faculty applications. Writing them is bloody hard. -
Statement of Purpose Buckingham U. Badger Ph.D.Applicant,Autumn2021 ... graduate,I wasthe leastexperienced with the material,but I alsohad lessexperience organizing my talks, ... thepast few years have left no doubtthat I wantto studyand research mathematics fortherest of my life,all while developing productive relationships withmentors ...
E-mail: [email protected] Overview: I am dedicated to research in applied mathematics. I received my Ph.D. in 2013 under guidance of Sorin Mitran at UNC. While at UNC I also worked with Greg Forest and Laura Miller. After my Ph.D. I took a postdoctoral fellowship at Duke University as part of the mathematical-biology research group;
The research statement (or statement of research interests) is a common component of academic job applications. It is a summary of your research accomplishments, current work, and future direction and potential of your work. The statement can discuss specific issues such as: The research statement should be technical, but should be intelligible ...
Statement of Purpose . If admitted, I intend to pursue the Ph.D. in Curriculum and Instruction on a part-time basis (at least initially) and thus would not be eligible for a Graduate Assistantship. My ultimate goal is to complete my doctorate so that I can teach future teachers, conduct research within the classroom, and make a
Therefore, some of my current research is focused on mathematical modeling and analysis of this interplay between physics (fluid transport) and biology at the microscale, and also on macroscale properties of the
The research statement is a common component of a potential candidate's application for post-undergraduate study. This may include applications for graduate programs, post-doctoral fellowships, or faculty positions. The research statement is often the primary way that a committee determines if a candidate's interests and past experience make them a good fit for their program/institution.
The rest of the statement serves as a justification for the pitch made in this paragraph.] My name is Silvia González Sellán and I am a Mathematics and Physics undergraduate student with experience in Computer Graphics research at a high level. I am writing to apply to the direct entry PhD program, to hopefully begin in Fall 2019.
Most students enrolled in the Ph.D. program in Mathematics are granted full financial support including an annual stipend, tuition waiver, and health insurance for a period of five years, subject to satisfactory progress. The Department offers aid in the form of Graduate Student Instructorships, Research Assistantships, and Fellowships.
2023 Qingci An (F. Lu)Identifiability and data-adaptive RKHS Tikhonov regularization in nonparametric learning problems Letian Chen (J. Bernstein)On Mean Curvature Flows coming out of Cones Ben Dees (C. Mese)On the Singular Sets of Harmonic Maps into F-Connected Complexes Lili He (H. Lindblad)The linear stability of weakly charged and slowly rotating Kerr Newman family of charged black holes ...
For the statement of purpose, be concise; an ideal essay should say everything it needs to with brevity. Approximately 500 to 1000 well-selected words (1-2 single space pages in 12 point font) is better than more words with less clarity and poor organization. Personal statements are typically one page or shorter, though some are longer.
Dissertations. Most Harvard PhD dissertations from 2012 forward are available online in DASH, Harvard's central open-access repository and are linked below. Many older dissertations can be found on ProQuest Dissertation and Theses Search which many university libraries subscribe to.
PhD in Mathematics. The PhD in Mathematics provides training in mathematics and its applications to a broad range of disciplines and prepares students for careers in academia or industry. It offers students the opportunity to work with faculty on research over a wide range of theoretical and applied topics.
My adviser told me that I should wait until enrolled in a PhD program to start worrying about doing research. (My B.Sc. is in physics and I want to work in mathematics - hence the M.S. in math - so he told me I should work on having a solid basis in maths first.)
Math minor. Requires 4 courses that total at least 12 credits. Our program allows students to focus in pure or applied mathematics. You'll design a program with your faculty advisor to create a curriculum that best suits your needs and goals. If you enter the program without a prior graduate degree, you'll earn a Master's on the way to your PhD.
We've looked at the Cover Letter and the CV and the Teaching Statement.Today we look at the Research Statement. An expanded and updated version of this post can now be found in Chapter 27 of my book, The Professor Is In: The Essential Guide to Turning Your Ph.D. Into a Job. Today, at long last, and in response to popular demand, a post on the Research Statement.
Research statements are a frequent component of the academic job market application portfolio and one of the more field-specific documents. In a research statement, you are explaining to the search committee your scholarly profile, research agenda, impact of your work, and how your scholarship fits into the department and institution.
MSc by research. This Admissions Statement applies to applications submitted for entry to the programme between 1 October 2023 and 30 September 2024 It should be read in association with the University Admissions Principles and Procedures for Postgraduate programmes, the relevant prospectus entry and general application guidance.
The expectation of the Department of Mathematics is that a thesis submitted for the PhD degree will typically consist of between 100 and 200 A4 sized pages and a thesis submitted for the MPhil degree will typically consist of between 70 and 120 A4 sized pages. Explore Mathematics funding for postgraduate researchers and wider postgraduate support.
The "research statement" is a good idea, and usually serves two purposes. (1) . You see, if the department is large, you want your incoming class to be balanced to match the faculty interests. Also, you probably want to have applicants in a field to be given an extra look by the faculty in that field, as they might be better at assessments of ...
Admission Requirements. To be admitted, applicants are expected to have completed the equivalent of an undergraduate major in Mathematics, with a minimum of one semester each of upper-division or higher level work, including one semester each of advanced analysis at the level of MATH 425A, abstract algebra at the level of MATH 415A, and linear algebra at the level of MATH 413.
Recent work by graduate student Jeremy Lilly is featured as a Research Highlight on the home page of the US Department of Energy Office of Science Graduate Student Research (SCGSR) Program.; PhD student Naren Vohra gave an invited presentation at a minisymposium at the largest of SIAM conferences, the SIAM CSE (Society for Industrial and Applied Mathematics Computational Science and Engineering).
MINNEAPOLIS / ST. PAUL (6/28/2024) - School of Mathematics PhD student Sylvester Zhang was recently awarded the Doctoral Dissertation Fellowship from the University of Minnesota. The Doctoral Dissertation Fellowship (DDF) gives the University's most accomplished Ph.D. candidates an opportunity to devote full-time effort to an outstanding research project by providing time to finalize and ...
The only pathway to matriculation at Mayo Clinic Graduate School of Biomedical Sciences is through application during the annual application window, September 1 - December 4. The Ph.D. program does not accept transfer students; however, transfer credits for graduate courses taken at another institution may be considered if appointed to our Ph.D ...
Shaun Harper is University Professor and Provost Professor of Education, Public Policy, and Business at the University of Southern California, as well as founder and executive director of the USC Race and Equity Center. Julie Posselt is Professor of Higher Education and Associate Dean of the USC Graduate School, as well as executive director of the Center for Enrollment Research, Policy and ...
Research Computing has seen a 600 percent increase in unique accounts since 2018. As research and technology evolve, so do the services offered by Research Computing. An important project is underway that positions Research Computing and UAB research for growth — key for UAB's Growth with Purpose initiative to raise $1 billion in research ...
If you had the funding to answer one research questions what would that question? Oh boy, there are so many interesting questions. I wish I knew the answer to address both the scientific and ethical considerations regarding equitable research in genomics. I think the genetic epidemiology field overall would greatly benefit from some insight.