To apply for admissions and financial aid, or for additional information on admissions requirements for the Ph.D. program in pure mathematics, please go to the appropriate Harvard Kenneth C. Griffin Graduate School of Arts and Sciences website listed below. All other inquiries may be directed to the Graduate Program Administrator of the Mathematics Department.

  • Harvard Kenneth C. Griffin Graduate School of Arts and Sciences (Harvard Griffin GSAS)
  • Mathematics Graduate Studies
  • Financial Support

Graduate Program Administrator

The Department of Mathematics does not discriminate against applicants or students on the basis of race, color, national origin, ancestry or any other protected classification.

Preparing the Application The statement of purpose for graduate applications is carefully weighted by the admissions committee. The applicant’s statement should convince the committee that they are able to communicate effectively and with a deep understanding of mathematics. It is not intended to be a biographical sketch or a reflection on one’s decision to enter the field.

Three letters of recommendation are required. Letter writers should be faculty or others qualified to evaluate the applicant’s potential for graduate study in mathematics. The letters must be submitted online and by the application deadline.

Applicants should include any research papers, publications, and other original works they would like to have evaluated by the admissions committee.

The department requests that applicants submit GRE Mathematics Subject Test scores if practical. Applicants should check on the ETS website for test dates in their area to ensure the scores will be submitted before the application deadline. An official score report should be sent to Harvard Kenneth C. Griffin Graduate School of Arts and Sciences using code 3451.

While the admissions committee reviews all applications submitted before the deadline, missing math subject test scores provide one less data point available to evaluate the application. Depending on the strength of the application, the missing subject test scores may put the application at a disadvantage.

Applicants who are non-native English speakers and who do not hold an undergraduate degree from an institution at which English is the primary language of instruction must submit scores from the Internet Based Test (IBT) of the Test of English as a Foreign Language (TOEFL) or the International English Language Testing System (IELTS) Academic test.

Harvard Griffin GSAS requires applicants to upload an electronic copy of undergraduate transcripts. Hard copies of official transcripts are not required at the time of application.

Ph.D. Program in Pure Mathematics The department does not grant a terminal Master’s degree, but the Master’s can be obtained “on the way” to the Ph.D. by fulfilling certain course and language exam requirements.

In general, there is no transfer status application to the Harvard Kenneth C. Griffin Graduate School of Arts and Sciences or to the Department of Mathematics. No formal credit is given for an MSc or MA earned elsewhere. All applicants are considered to be applying as first-year graduate students. The only difference Master’s study may make is to better prepare students for the Qualifying Exam.

All graduate students are admitted to begin their studies in the fall term. The department plans on an entering class of about twelve students. Since the admissions committee receives a few hundred applications, the competition is keen.

Funding Graduate Study Applicants are urged to apply for all funding available to them. If no outside funding is available to the applicant, financial aid in the form of scholarships, research assistantships, and teaching fellowships is available. In general, students who do not have outside support will get scholarship support in their first year, but students are required to act as a teaching fellow for one-half course (i.e. for a one-term course) in their second through fifth years.

The department strongly recommends applicants to seek out and apply for all sources of financing available to them for graduate study. Recommended sources for funding US graduate students are NSF Graduate Fellowships and NDSEG Fellowships . Applicants from the UK are urged to also apply for the Kennedy fellowships and applicants from UK, New Zealand, Canada and Australia for Knox fellowships . International students may apply for the Fullbright IIE or any home country fellowships available for study abroad.

Harvard John A. Paulson School of Engineering and Applied Sciences The Harvard John A. Paulson School of Engineering and Applied Sciences (SEAS) offers programs for both the Master’s degree and the Ph.D. degree in Applied Mathematics. Please visit the SEAS website for more information on degrees in applied mathematics at www.seas.harvard.edu

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Application.

phd maths admission 2021 22

Questions About the Graduate Program?

[email protected]

The PhD program of the Department of Mathematics at Northwestern University is in Pure Mathematics, broadly interpreted. If your interests are mainly in Applied Mathematics, we may not be a good fit for you. We do not offer a Masters degree program.

As is explained in detail at the web-site of the  Graduate School , the following materials comprise the application:

  • Completed application form . This is to be completed online . To receive full consideration, your application should be submitted by  December 31 . The online application form will open around September 13.
  • Application fee .   Your application will not be processed until this fee is paid.    For circumstances in which the fee can be waived for domestic applicants (that is, US citizens and permanent residents),  see  this page .  Feel free to contact us if you are uncertain whether you are eligible. The department will be able to offer a very limited number of fee waivers to international applicants.  If you are an  international   applicant who wishes to be considered for a fee waiver, you should upload to CollegeNet your academic and personal statements and (unofficial) transcript .  Only after these materials have been uploaded, send a message to [email protected]. Do not send a message requesting a fee waiver prior to these materials being uploaded or your application for a fee waiver will be rejected by the department.
  • Your academic statement of purpose . Be as specific as possible about your research interests and qualifications. If you have particular reasons for choosing Northwestern, be sure to indicate them.
  • Your personal statement of purpose.
  • A minimum of three letters of recommendation from professors familiar with your work at an advanced level (though you are welcome to submit up to four letters) . These letters should be submitted by the letter writer through the online application system. It is your responsibility to make sure they are received in time. 
  • A pdf copy of your transcript from all colleges and universities that you have attended or currently attend should be uploaded with your application .  Please include a list of junior-, senior-, and graduate-level mathematics courses taken or to be completed before entering graduate school at Northwestern. For each course, identify the textbook used, if any, and a short list of topics covered. For international students, this roughly corresponds to courses in the last two years of predoctoral or undergraduate study. Unofficial transcripts suffice for the application, but in order to enroll after accepting an offer of admission, official transcripts must be submitted. 
  • The Department of Mathematics will not consider general or subject GRE scores in applications for September 2024.
  • International students, other than those who have completed or will complete an undergraduate or graduate degree at an academic institution whose language of instruction is English, must submit as part of their application the result of the TOEFL, IELTS or MET exam. We require a level of performance equivalent to the C1 level of proficiency in the Common European Framework of Reference for Languages: that is, 95 for the TOEFL iBT, 6.5 for the IELTS, or 64 for the MET. For other proofs of performance at this level, please consult us before finalizing your application.
  • If you are not sure whether your institution is considered to have English as its language of instruction, please feel free to contact us. Some examples of institutions for which the TOEFL or IELTS requirement is waived are HSE, Chennai Mathematical Institute, IISER and ISI.
  • The Graduate School has a separate requirement for spoken English (currently a score of 26 in the spoken component of the TOEFL iBT, or 8.0 in the spoken component of the IELTS), which must be satisfied by the start of the second year in our graduate program, or you may not be permitted to continue in the program.

The application is entirely electronic. Applicants must not not send material to the Mathematics Department without first contacting the Graduate Admissions ( [email protected]).

Overview of the Application Procedure

Welcome to the MIT Mathematics Graduate Admissions page. This page explains the application process in general. For complete details, go to the on-line application which is available mid-September to December. These instructions are repeated there.

MIT admits students starting in the Fall term of each year only. Admission is to the PhD program only; there is no Masters program. There is no separate application for financial support; all admitted students are offered support.

Submitting GRE scores is entirely optional: We will accept scores if submitted (and are most interested in the Math Subject test result, if any) but it will not hurt your application if not included.

To apply, follow these steps:

Fill out the on-line application by 23:59, EST, December 15.

You will be submitting:

  • Field(s) of interest
  • Personal information/addresses
  • International student data
  • Three or more names and e-mail addresses of letter writers
  • Educational and work history, including IELTS/TOEFL scores (preferably from this year), and honors
  • Grades in math/science/engineering courses and overall
  • Statement of objectives
  • Outside financial support and potential outside support
  • Credit/debit card payment of $75
  • The Math department requires applicants to upload an electronic copy of undergraduate transcripts. Hard copies of official transcripts are not required at the time of application.

Arrange for submission of (official reports only)

  • Letters of recommendation
  • For international students, IELTS (or TOEFL iBT)

We recommend that before November 15 you notify your letter writers that you will be needing evaluations from them, so that they have time to prepare them and submit them by December 15. Once you have submitted your on-line application, instructions to your letter writers will be generated for you. You are responsible for making sure that your letter writers have copies of these instructions.

You self-reported your grades in step 1, but we require an official transcript for all admitted students. If/when we request this, arrange for an official copy of your college transcript to be sent to:

Academic Services, Room 2-110 Dept of Mathematics, MIT 77 Massachusetts Ave. Cambridge MA 02139-4307 USA

TOEFL reporting codes Institution code: MIT = 3514 Mathematics Department code: 72

International Students

IELTS is the English language proficiency test we prefer, but we also accept the TOEFL iBT . (On the other hand, we generally do not accept the TOEFL PBT.) To have IELTS results reported, indicate "Mathematics Department, Massachusetts Institute of Technology (MIT)" on your IELTS test application; no code or address is needed. To have TOEFL iBT results reported, use the codes above (3514 for MIT, and 72 for Mathematics).

If you are an international student, you should take the IELTS (or TOEFL iBT) by December 31. If you will receive an undergraduate degree from an English-language university in an English-speaking country after attending it for at least three years, then the Math Department will waive the English language proficiency test requirement.

Paper Forms

If for some reason, you are unable to use the on-line system, you may use paper forms. But note that on-line documents allow us to consider your application more quickly and conveniently. Your letter writers may also use paper forms, if necessary.

Please address questions about the application process to [email protected] . You can find more information about MIT graduate admissions in general at the MIT Graduate Admissions site .

Computational Science and Engineering

Students with primary interest in Computational Science may also consider applying to the interdisciplinary Computational Science and Engineering (CSE) program, with which the Mathematics Department is affiliated. For more information, see https://oge.mit.edu/programs/computational-science-and-engineering-phd/ .

IIT Bombay Department of Mathematics

The m.sc mathematics programme, ph.d admissions.

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Admission to Ph.D programme in Mathematics and Statistics

2016 ). With state-of-the art infrastructural facilities and a sound research base, IITB Mathematics offers a Ph.D. programme in a wide variety of areas. The program leading to the Ph.D. degree involves a course credit requirement and a research project leading to thesis submission. All that you need to know about admissions to our PhD program can be found in the information brochure for PhD admissions, which can be found at the following link. ----- A special welcome to all who wish to pursue a career in Mathematics and Statistics research. The Department of Mathematics, IITB offers a Ph.D. program in a wide variety of areas. To know more about the research interests of faculty members, please visit the page here . The program leading to the Ph.D. degree involves a course credit requirement, clearing of qualifier examinations and a research project leading to thesis submission. For more details, follow one of the links below

A special welcome to all who wish to pursue a career in Mathematics and Statistics research. The Department of Mathematics, IITB offers Ph.D. program in the areas of Mathematics and Statistics. Admission to the PhD program is based on a written test and interview. There are separate written tests and interviews for students in Mathematics and Statistics. The syllabus is given below. Students are required to choose one option specifying either Mathematics or Statistics.

To know more about the research interests of faculty members, please visit the page here . The program leading to the Ph.D. degree involves a course credit requirement, clearing of qualifier examinations and a research project leading to thesis submission. For more details, follow one of the links below

Syllabus for Entrance exam can be found here Past question papers can be found here

Syllabus for Mathematics Entrance Exam

Syllabus for Statistics Entrance Exam

Past Question Papers

PhD Admissions

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The Department of Mathematics and Statistics at IIT Kanpur offers separate Ph.D. programs in Mathematics and Statistics. The advertisement for PG admissions 2021-22-I, has appeared on IIT Kanpur website, on March 23, 2021 ( http://www.iitk.ac.in/doaa/pgadmission.htm )

  • While processing applications only the first preference (Either Mathematics OR Statistics) will be considered for selection procedures.
  • For information on the new reservation category 'EWS', please check ( http://www.iitk.ac.in/doaa/DOAA/implinks20192.htm )

Important Dates

Online Application Start Date March 23, 2021

Online Application End Date April 18, 2021

List of eligible candidates : Will be announced later

Past question papers for qualifying written test for Mathematics candidates

Winter 2019

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Summer 2016

Winter 2015

Past question papers for qualifying written test for Statistics candidates

For any query related to Ph.D. admissions contact

DEPARTMENT OF Mathematics & Statistics

INDIAN INSTITUTE OF TECHNOLOGY KANPUR

Kanpur, UP 208016 | Phone: 0512-259-xxxx | Fax: 0512-259-xxxx

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Department of Mathematics

Mathematics phd program.

The Ph.D. program in the Department of Mathematics provides students with in-depth knowledge and rigorous training in all the subject areas of mathematics. A core feature is the first-year program, which helps bring students to the forefront of modern mathematics. Students work closely with faculty and each other and participate fully in both research and student-run seminars.

Questions? Email [email protected]

  • The firm deadline for applications for Autumn 2025, is December 5, 2024.
  • The (general and advanced) GRE tests are no longer accepted. Please do not submit these scores.
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Ph.D. Admissions

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The application window for Fall 2024 is closed.

The Mathematics Department offers two programs to obtain a Ph.D. Applicants can pursue a Ph.D. in  Applied & Interdisciplinary Mathematics or Mathematics.  Please use the "Programs" link at the left to explore our offerings.

  • Three Letters of Recommendation  (May submit up to 5 letters, but only 3 are required.)
  • Curriculum Vitae or Resume
  • Academic Statement of Purpose (concise - no limit)
  • Personal Statement (500 word limit)
  • TOEFL iBT Special Home Edition and IELTS Indicator online test are accepted.
  • Exemption rules:   https://rackham.umich.edu/admissions/applying/tests/
  • List of  International English Exclusive Institutions  approved by Rackham

GRE General Test scores are no longer included in the admission process in accordance with a  policy of the Rackham Graduate School .

GRE Mathematics Subject Test scores are strictly optional. However, if an applicant chooses so, they may submit them as a combined pdf file with their transcript or personal statement.

Application Timeline

The Mathematics Department's graduate programs only accept applications for Fall semesters. 

General Requirements for Admission

A student must have completed a bachelor's degree at an accredited college or university by the time of entry in order to be considered for admission.

Applied & Interdisciplinary Mathematics (AIM) Ph.D. Admissions Requirements

Successful AIM Ph.D. applicants will demonstrate an interest in an interdisciplinary area of applied mathematics in addition to substantial mathematical ability. Two types of students are generally considered for admission to the AIM Ph.D. program:

  • Mathematics majors with excellent grades in mathematics courses and excellent letters of recommendation. The admissions committee will also take into account other scholarly activities such as summer research experience, published papers, or courses in other fields.
  • Non-mathematics majors from the physical, life, or engineering sciences, or from other appropriate areas of study. Such students are expected to have completed at least two upper division mathematics courses, and/or have substantial exposure to mathematics in other courses, and may submit a GRE mathematics subject test score. Other experience in working with mathematics (for instance, summer research positions) will also be taken into account, as well as grade point average and letters of recommendation.

Mathematics Ph.D.  Admission Requirements The undergraduate major need not be mathematics, but a student should have mastered material roughly equivalent to the undergraduate mathematics major at The University of Michigan including:

  • three semesters of calculus
  • one or two semesters of differential equations
  • one semester courses in modern algebra, linear algebra, geometry or topology
  • advanced calculus of one and several variables

In addition, a student should have completed at least three additional mathematics courses and at least two courses in related fields such as statistics, computer science, or the physical sciences. Students with strong records in less comprehensive programs will be considered for admission but if admitted should expect to spend the first one or two semesters in graduate school completing their undergraduate preparation in mathematics. Based on historical data, we expect that successful applicants to the Ph.D. program will have an overall GPA of at least 3.3 on a 4.0 scale.

Application Requirement Details

GRE, TOEFL, and IELTS Tests

  • GRE General test scores are not required. 
  • GRE Mathematics Subject Test scores may be submitted as a combined pdf file with your transcript or personal statement. (Optional)
  • TOEFL or IELTS exam is required for students whose native language is not English
  • TOEFL and IELTS exams should not be older than two years as of the Admission Deadline.
  • Minimum TOEFL and IELTS scores must meet Rackham's requirements here .
  • TOEFL or IELTS Exemptions are only given per Rackham's rules here .
  • ETS school code for the University of Michigan Rackham Graduate School is 1839

Letters of Recommendation

Letters of recommendation play an especially crucial role in the admission process. At least three letters are required, and up to five may be submitted. Applicants should choose as recommenders people who know their strengths and weaknesses relevant to graduate study in mathematics. The most useful letters are those which list in some detail the accomplishments of the student and make direct comparisons with other students who have succeeded at major U.S. graduate schools. International students already in the U.S. should submit letters from their U.S. institution, whenever possible.  Please register your recommenders for the electronic Letters of Recommendation when using the Online Application.  Letters received after the application deadline will be accepted, but should be received within 1 week of that deadline.

Those students who will have completed a Master's degree in Mathematics by the time they begin studies at the University of Michigan must apply to the Ph.D. program. Others may apply to either program. 

Academic Statement of Purpose

Focus your academic statement on your mathematical interests, research experience, published papers, math camps, teaching & tutoring experience etc. Be sure to mention any specific faculty with whom you wish to work.

Personal Statement:

Focus your personal statement on what makes you unique, any struggles you have experienced and overcome, and why you feel U-M Math is the right place for you.  Be sure to include any hardships you have experiencedand how you overcame them. These could be financial, familial, or personal.

Transcript Submission:

The Mathematics Admissions Committee will review uploaded transcripts with university logos during the application process.  While these are considered "unofficial" transcripts because they have been opened from their original sealed envelopes, they are acceptable.  If an applicant receives an offer of admission, an official transcript in a sealed envelope will need to be mailed from the institution directly to the Rackham Graduate School.

Please submit your most current transcript with your online application by the due date.  If you would like the Admissions Committee to see your Fall term scores, you may email them to [email protected] after the due date, and they will be included with your application.

Additonal Application Materials: If you have additional materials you would like to submit with your application, you may email them to [email protected].  Be sure to include your name and umid number in the email and attach files in pdf format.

Note:  All credentials submitted for admission consideration become the property of the University of Michigan and will not be returned in original or copy form.

Additional Information:  Please visit the admissions page of the Rackham Graduate School for additional information regarding admission including: minimum graduate school requirements, residency, and application fees.    Unfortunately, application fee waivers are not available for international students.

Financial Support for Ph.D. Students

Ph.D. Programs

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.

All entering Ph.D. students will be considered for Graduate Student Instructorships, which normally require four classroom hours of teaching per week plus additional office hours during the Fall and Winter terms. The stipend for such an appointment in 2021-2022 is $11,598 per term. In addition, Graduate Student Instructors receive a full tuition waiver. Teaching duties may involve teaching a section of a first-year calculus or pre-calculus course or serving as an instructor for recitation sections attached to a faculty lecture in multivariable calculus or elementary differential equations. The Department of Mathematics has many fellowship opportunities, including the Copeland, Glover, Rainich, and Shields Fellowships which may provide a stipend, tuition waiver and in some cases a reduced teaching load. Other fellowships administered by the Rackham Graduate School can be found at their  Fellowships office .  The University of Michigan is part of the CIC consortium, which also awards fellowships to outstanding underrepresented applicants. Also available are prestigious Rackham Science Award’s given out by the Rackham Graduate School.

After Admission

All new Graduate Student Instructors are required to attend an orientation and training program which is held the week before classes begin. New Graduate Student Instructors whose Undergraduate Degree is not from an English speaking University must pass an English Evaluation which tests the specific oral skills needed for classroom teaching and are required to attend a three-week cultural orientation program starting in July.

Research Assistantships are awarded mainly to senior Ph.D. students to relieve them of teaching duties during the final part of their dissertation research. Students at this point may also compete for Rackham Dissertation Fellowships, which provide full support for one year, or Research Partnerships. A small number of positions as paper-graders for the larger advanced courses is available each term.

Some additional funds are often available for support during the summer. More advanced students who are actively involved in research may be supported from NSF grants awarded to faculty members. For other students there is a limited number of Departmental fellowships and a few teaching positions are available. No advanced graduate courses are offered in either the Spring or Summer half-terms and students are encouraged to spend some of their summers attending workshops, doing research, working in government, or seeking internships in industry.

phd maths admission 2021 22

Marjorie Lee Browne (MLB) Scholars Program - an MS bridge to PhD program for diverse students

The Department of Mathematics at the University of Michigan is pleased to offer the Marjorie Lee Browne (MLB) Scholars Program. The program is named for Dr. Marjorie Lee Browne, who in 1949 became the first African-American woman to earn a Ph.D. in Mathematics at the University of Michigan. The MLB Scholars Program is an enhanced option for the M.S. degree in either Mathematics or Applied and Interdisciplinary Mathematics that is designed to give students professional knowledge of pure or applied mathematics in order to prepare them for continuing toward a Ph.D.  Please see this Marjorie Lee Brown Scholars webpage for eligibility and details.

If you have any questions regarding the application process, please contact the Department of Mathematics at [email protected].

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PhD in Applied Mathematics

Our PhD in Applied Mathematics program provides comprehensive training in applied mathematics and/or statistics and opportunities for cutting-edge research in close collaboration with internationally recognized scholars in the fields of

  • Computational Mathematics
  • Discrete Mathematics
  • Optimization and Operations Research
  • Probability

Some highlights of our exciting research projects include evolutionary dynamics, climate modeling, wildfire simulations, machine learning, genetic inheritance and association, optimization in data analysis, and more. Current research funding includes grants from NSF, NIH, DoD, and NASA.

The degree is designed to give students a contemporary, comprehensive education in subjects such as high-performance computing, numerical analysis, optimization, statistical methods, and operations research. In all of its activities, the department embodies the outlook that mathematics, statistics, computing, and data science are powerful tools that can be used to solve problems of immediate and practical importance. Our program emphasizes the training of skills valued by many employers. These skills include problem solving, critical thinking, analysis, facility with data, the ability to process quantitative information, and most important of all, the ability to learn and master new skills and concepts quickly. These strengths make our students highly marketable for careers in industry as well as in academia.  Scholarships and assistantships​  for graduate students are available and awarded competitively.​​

Ph.D. Program Quick Links

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Florian Pfender [email protected]

Director of Statistical Programs

Daniel Klie [email protected]

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Miriam Venzor Program Assistant [email protected] Phone: 303-315-1702

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Admission to Graduate Program

The Mathematics Department’s faculty and students are engaged in research activities in a variety of areas of pure and applied mathematics and statistics. Both our MA and PhD degree programs feature a broad-based foundation and are flexible to accommodate specialization.

Prerequisites for admission

The prerequisites for admission to our graduate program are:

  • an undergraduate degree from an accredited institution with a program of study in mathematics;
  • a record of achievement that shows strong promise of success in graduate school, including a 3.0 cumulative grade-point average in undergraduate studies and a 3.0 grade-point average in mathematics; and
  • coursework in abstract algebra, linear algebra, and advanced calculus or introduction to analysis (comparable to KU's MATH 500, 558, and 590.)

It is beneficial to have some preparation in probability/statistics (comparable to MATH 627/628) and/or numerical analysis (comparable to MATH 581). Although not required, we also recommend that applicants take introductory courses in complex analysis (comparable to MATH 646), differential equations (comparable to MATH 647), and/or topology.

Application materials

GRE tests (general or subject-specific) are not required, nor are they factored into admission decisions. If an applicant submits GRE scores, this information is not viewable to the admissions committee. 

The following materials must be submitted online:

  • Transcript from each college or university the applicant has attended,
  • Applicant's résumé/curriculum vitae,
  • A list of textbooks used in the applicant's mathematics courses beyond calculus (please include authors),
  • A statement of purpose indicating the applicant's mathematical preferences and interests, and
  • Three letters of recommendation, submitted directly by the recommenders.
  • In addition, international applicants need to fulfill the University’s  English language requirements .

Non-Degree Seeking.  Students who are interested in enrolling in graduate-level coursework in the Department of Mathematics without formal admission to a graduate program at KU are encouraged to apply as a non-degree-seeking student. Those choosing this option will need to upload their past transcript(s), other application materials are not required.

Research Areas

Algebra, Analysis, Combinatorics, Differential Equations, Dynamical Systems, Functional Analysis, Geometry, Mathematical Finance, Numerical Analysis, Operator Theory, Probability Theory, Set Theory, Stochastic Analysis, Statistics, and Topology

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Questions? Please contact:

Michelle Morrison, Grad Program Coordinator, [email protected]

MA & PhD application deadlines: January 5 (Fall), October 1 (Spring)

KU's Graduate Admissions Process

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Jayhawk Mathematics Sneak Peek

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Application fee

For domestic students, the fee is $65. For international students, the fee is $85. For certificate-seeking and  non-degree seeking, the fee is $30. All request for application fee waivers should be submitted at this link .

Support for Graduate Students

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Admission process

All applications should be  submitted online . In general, graduate students are admitted in the fall semester. Our program and course sequences are designed with that in mind. The Graduate Committee of the Department of Mathematics evaluates the candidates and makes recommendations to the Graduate School regarding admission. The number of students admitted into the program changes from year to year and admissions are made on a competitive basis. We consider candidates only after all application materials have been received.

There are no additional application forms for financial support; students are considered for support based on merit.

Most PhD students accepted to the program receive an offer of financial support as a Graduate Teaching Assistant (GTA). Nevertheless, the number of GTA positions available is limited and sometimes we cannot offer GTAs to all the students we admit.

The first-round of GTA offers are typically sent in late February. Offers are sent through mid-April.

Students with extremely strong mathematics background may be admitted in the spring semester. The admission procedure is otherwise the same as for the fall semester. It is much more difficult to get a GTA in the spring semester since most are awarded in the fall.

International Students

  • Additional Information for International Students

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Deadlines for Applications

For Spring applications, all materials should be received by October 1. For Fall applications, all materials should be received by January 5 to ensure full consideration for admission and financial support. All fall semester admissions decisions for international students will be made by May 1 (to allow time to process visa applications). Domestic students who wish to apply for fall admission after May 1 should first consult the Graduate Admissions Director.

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Apply to PhD Program

The Fall 2024 deadline for PhD applications is  December 15, 2023 . All application materials and letters should be submitted by this date. Late applications, or applications that are incomplete by the deadline, will in general not be considered. Applications are not accepted for Spring 2024.

How to Apply

First complete the online portion of the application , including payment of the application fee. Under-represented U.S. minority applicants can apply for an application fee waiver .   Applicants who are currently enrolled in a master’s program in the Illinois Department of Mathematics may use this form instead (to avoid paying another application fee).

We require transcripts from your undergraduate (and, if applicable, graduate) institutions, three letters of recommendation, and a personal statement.  (Please see this link for more details from our Graduate College; section 1 details the application requirements, and section 2 details the minimum requirements for admission.)

As part of the online application process you will be asked to upload a copy of your undergraduate transcript (and also graduate transcript if applicable) showing grades for the most recent semester at the time of application. We typically do not accept students with a grade point average below 3.25 on a 4.00 scale, and GPA is a significant factor in our decision.

Please arrange for three letters of recommendation to be uploaded to our online application system. Letters from professors who have taught you in mathematics classes or who have supervised you in a research project are the most useful. Both the content and the source of the letters can play a significant role in our decision.

Please include a personal statement as part of your online application. We prefer statements that are honest, specific, and brief, and explain why you are applying to our program.

The Department of Mathematics does not require any program specific questions or writing samples.

The GRE general test and mathematics subject test are not required .

Information for International Students

English requirements for international applicants.

Students with high TOEFL or IELTS scores have a better chance of admission.

1. Minimum Requirement for Admission

All international applicants must satisfy the Graduate College English Proficiency Requirement for Admission . The Mathematics Department requires a minimum TOEFL iBT speak score of 22 (or IELTS 6.5 speaking score) and a minimum TOEFL total of 95 for admission to the PhD program. Some applicants are  exempt from the English requirement for admission . Even those students will increase their chance of admission if they submit recent TOEFL or IELTS scores. If you do not have an exemption as listed above and have a TOEFL SPEAK score less than 22, then do not apply.

2. Minimum Requirement for Teaching Assistantship Funding

Teaching assistants must meet a higher standard: proficiency in spoken English , as measured by the Internet Based TOEFL (iBT), the IELTS, the TSE (Test of Spoken English), or the university-administered EPI (English Proficiency Interview). Students who do not satisfy this requirement can still be granted a Teaching Assistantship in Mathematics with duties outside the classroom (e.g. grading) for the first two years, provided they enter with a TOEFL iBT speaking sub-section score of 22 or 23. After two years, continuation of the Teaching Assistantship depends on whether the student has successfully demonstrated proficiency in spoken English.

Declaration of Finances

International students must submit the Declaration and Certification of Finances form before a visa can be issued. We do not need this form in order to decide on your application. If you are later offered admission and accept the offer, then you must submit the form promptly along with the required bank statement, before you can be admitted to the university and get a visa. The bank statement must show resources for the full cost of education and living expenses. If you are offered a teaching assistantship, then a bank statement showing about US$1,700 to cover any additional cost of living will be sufficient. Please note that you are not required to pay this amount, only to show evidence of such finances in a bank account . To repeat: we do not need this documentation now in order to review your application.

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  • Definition of International Applicant: Anyone who is not a citizen of India will be considered as an international applicant for the purpose of admission.
  • Applicants must apply ONLINE through our website ( http://academic.iiti.ac.in/ ). A unique application number will be assigned for each applicant.
  • After Submitting the application online, the eligible applicant must send the signed hard-copy of the application along with application fee receipt, recent photograph, self-attested copy of relevant certificates, valid GATE/ GRE and TOEFL score card (as applicable) and Statement of Purpose (SOP) to the concerned Department.
  • In case applicant wishes to apply in more than one Department then separate application must be filled for each Department.
  • Selection procedure: The selection procedure would be an interview (in-person or over video conference) for the shortlisted applicants. Statement of Purpose (SOP) and Letter of Recommendation (LOR) must be submitted by the applicant before the interview.
  • There would be no specific scholarship offered as part of the program.
  • Fee Structure (for AY 2021-22): Fee payable by the International applicants shall be as under:
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General Information

Thank you for your interest in the Applied Mathematics/Mathematics PhD Programs! The Math Department admits new graduate students to the Fall Semester only.  The graduate admissions application for Fall 2024 admission is available as of Wednesday, September 13th, 2023. The deadline to apply is Monday, December 11th, 2023, at 8:59pm Pacific Time.  Access the Graduate Division's Online Application . Please read the information on Graduate Division requirements and information required to complete the application. Copies and "unofficial" transcripts are accepted via the online application system if the name of your institution and your name are on the transcript. Please  do not  mail original transcripts for the review process. We require three letters of recommendation, which should be submitted online. We do not accept mailed letters of recommendation. Letters should be received online by the admissions deadline. To learn more about the program, here is a recording of a recent presentation we held at the 2022 Graduate Diversity Admissions Fair .

Admission to the Ph.D. Program

The Department of Mathematics offers 2 Ph.D. degrees, one in Mathematics and one in Applied Mathematics. Applicants for admission to either Ph.D. program are expected to have preparation comparable to the undergraduate major at Berkeley in Mathematics or in Applied Mathematics. These majors consist of 2 full years of lower-division work (covering calculus, linear algebra, differential equations, and multivariable calculus), followed by 8 one-semester courses including real analysis, complex analysis, abstract algebra, and linear algebra. These eight courses may include some mathematically based courses offered by other departments (e.g., Physics, Engineering, Computer Science, or Economics).

Applicants for admission are considered by the department's Graduate Admissions Committee. The number of students that can be admitted each year is determined by the Graduate Division. In making admissions decisions, the committee conducts a comprehensive review taking into consideration letters of recommendation, level of mathematics preparation, performance in courses, broader impacts (community contributions), research experience, etc.

A Note on the GRE Exams

Due to the COVID-19 pandemic, the  GRE exams will be optional for the Fall 2024 graduate admissions application.  You may still submit GRE scores; however, an absence of GRE scores will not negatively impact your application. For those who choose to take the General GRE and/or the Mathematics Subject GRE exams: to ensure timely reception of official score reports, we recommend you take both exams no later than October; official score reports are due by the admissions deadline. The Educational Testing Service will send your scores to the institutions you specify when you take the exams, please consult their website to see how long it takes for ETS to transmit score reports to institutions. Additional information about the GRE exams, and how to register, can be obtained on the web .

A Note on GPAs

If your undergraduate institution does not use a 4-point grading scale please do not convert your GPA to match the 4.0 scale. Instead, leave the section blank, or write in 0.00. The faculty review committee will be able to see your true academic performance from your uploaded unofficial transcripts. For the "Advanced GPA," our program does not require a GPA calculation spreadsheet.

International Students

All applicants from countries in which the official language is not English are required to submit official evidence of English language proficiency. Please refer to the Graduate Division's admissions page for information on the English language requirement .

For international applicants, we are pleased to offer a limited number of need based  fee  waivers each year to eligible applicants. The waiver is available in the program page of the online application and must be submitted by December 1st. 

The M.A. in Math

The Department of Mathematics no longer accepts applications for the Master's in Mathematics Program. If you are interested in graduate study at UC Berkeley, please apply for the Applied Mathematics or Mathematics Ph.D. program. The MA application is only available to current Ph.D. students at Berkeley interested in a simultaneous MA in Mathematics.

We expect to make final decisions by the end of February or mid-March.

Email Math Graduate Admissions

After reading the above material and our  FAQ  page, if you have further questions on admission to our program you can send an email to  [email protected]

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Ph.D and Integrated Ph.D programmes in Mathematics: Eligibility Requirements and Application Procedures

(this webpage last updated on 02-02-2024.).

For 2024, all candidates for the IMSc Mathematics Ph.D. and Integrated Ph.D. programmes need to apply on the IMSc Mathematics Admission Portal. There are two entrance exams considered for screening to the interview stage. 1. The NBHM scholarship written test which will be held in January 2024. While applying for this test, the candidate may choose either the "Doctoral Scholarship" option or the  “Master’s Scholarship” option or “Both”. 2. The CSIR UGC NET exam of June 2023 or December 2023 - the top 30 ranks in Mathematics are eligible to apply.

IMSc offers two doctoral programmes in mathematics - the PhD and integrated PhD. This webpage describes the eligibility requirements and application procedures for admission to the programmes. For all other details of the programmes, please refer this webpage   Eligibility requirements Applicants for the PhD programme should have completed a Masters degree in Mathematics or Statistics by the time they actually join the programme. Applicants for the integrated PhD programme should have completed a Bachelors degree in Mathematics or Statistics by the time they actually join the programme. However, exceptional candidates with a Bachelors or Masters degree in other fields will also be considered for admission to the integrated PhD programme.

How to apply Candidates aspiring for admission to the IMSc Ph.D/Integrated Ph.D programmes in Mathematics should apply on the IMSc Mathematics Admission Portal (opened on 02-02-2024). They should also have written one of the following exams.

1. The NBHM Scholarship written test of January 2024. While applying for the test on the NBHM portal, the candidate may choose either the "Doctoral Scholarship" option or the “Master’s Scholarship” or “Both"  option.  IMSc will use the merit list based on the D-scores/M-scores of this test to shortlist candidates for its PhD and Integrated PhD programmes. Please refer to the advertisement and FAQ on the NBHM webpage  for more information on  D-scores and M-scores. Candidates must apply directly on the NBHM portal in order to write the Scholarship Written Test.

2. The CSIR UGC NET exam of June 2023 or December 2023 - the top 30 ranks in Mathematics are eligible to apply. Candidates must apply directly on the CSIR NET portal to write this exam.  

To shortlist candidates for its Maths PhD and Integrated PhD programmes, IMSc will use the test performance scores from NBHM and from CSIR UGC NET and will send interview call letters to candidates who have passed the IMSc screening criteria and have applied on the IMSc  Mathematics Admission portal . Interviews will be held in March. Final selection of candidates will be based mainly on their performance in the tests and the subsequent interview, but will also take into account their academic track record.

General Information about the Screening tests.

The NBHM Doctoral Scholarship Written Test is held around the third week of January each year. It is announced on the NBHM Scholarships webpage and is advertised in leading national newspapers. Question papers and answer keys from 2005-onwards are available on the NBHM Scholarships webpage . The CSIR UGC NET examinations are held in June and December of each year and are advertised in leading national newspapers.

IMSc Maths JRF Interviews 2024

Last date for applications is 29th February 2024.

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