mathematics phd admission 2023

Graduate Program

Our graduate program is unique from the other top mathematics institutions in the U.S. in that it emphasizes, from the start, independent research. Each year, we have extremely motivated and talented students among our new Ph.D. candidates who, we are proud to say, will become the next generation of leading researchers in their fields. While we urge independent work and research, there exists a real sense of camaraderie among our graduate students. As a result, the atmosphere created is one of excitement and stimulation as well as of mentoring and support. Furthermore, there exists a strong scholarly relationship between the Math Department and the Institute for Advanced Study, located just a short distance from campus, where students can make contact with members there as well as attend the IAS seminar series.  Our program has minimal requirements and maximal research and educational opportunities. We offer a broad variety of advanced research topics courses as well as more introductory level courses in algebra, analysis, and geometry, which help first-year students strengthen their mathematical background and get involved with faculty through basic course work. In addition to the courses, there are several informal seminars specifically geared toward graduate students: (1) Colloquium Lunch Talk, where experts who have been invited to present at the Department Colloquium give introductory talks, which allows graduate students to understand the afternoon colloquium more easily; (2) Graduate Student Seminar (GSS), which is organized and presented by graduate students for graduate students, creating a vibrant mathematical interaction among them; and, (3) What’s Happening in Fine Hall (WHIFH) seminar where faculty give talks in their own research areas specifically geared towards graduate students. Working or reading seminars in various research fields are also organized by graduate students each semester. First-year students are set on the fast track of research by choosing two advanced topics of research, beyond having a strong knowledge of three more general subjects: algebra, and real and complex analysis, as part of the required General Examination. It is the hope that one, or both, of the advanced topics will lead to the further discovery of a thesis problem. Students are expected to write a thesis in four years but will be provided an additional year to complete their work if deemed necessary. Most of our Ph.D.'s are successfully launched into academic positions at premier mathematical institutions as well as in industry .

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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.

College of Liberal Arts & Sciences

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Apply to PhD Program

The Fall 2025 deadline for PhD applications is  December 15, 2024 . 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 2025.

How to Apply

First complete the online portion of the application , including payment of the application fee. Some U.S. applicants may be eligible to apply for an application fee waiver .    Applicants who are currently enrolled in a master’s program in the Illinois Department of Mathematics, please speak with the Director of Graduate studies about application procedures.

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.)

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 OEAI . PhD 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.

Department of Mathematics

How to apply.

• The 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.

To apply, you will need to complete the online application form .

In addition to answering all questions on the form, you must also use the form to submit the following documents. The admissions committee will not formally consider your application until all of the materials listed below have been received.

• Original transcripts and official translations from all undergraduate and graduate institutions attended
• Mathematics Subject GRE score - is not required and should not be submitted.
• The general GRE score is not required and should not be submitted.
• At least three letters of recommendation
• TOEFL or IELTS scores if necessary (see below)
• $90 nonrefundable application fee

The deadline for completed and submitted applications is December 5th  for admission to the PhD program beginning in the following Fall quarter. Note that we do not allow students to begin in the middle of the academic year.

The admissions committee generally finishes making decisions by March 31. As soon as a decision on your application has been made, you will be notified either by email or first class mail or airmail (for foreign applicants).

Below are some more specific comments about each of the required documents.

Transcripts

Applicants who have attended international institutions whose transcripts are in a language other than English must upload those transcripts or certified attestations of study with certified English translations. Both the original transcript and the certified translations must be uploaded to your online application.

If you are admitted and accept our offer, we will require you to have an official transcript sent to our office from the Registrar's offices at any schools you have attended. Applicants to the University of Chicago's graduate programs are expected to be enrolled in or have completed a Bachelor's Degree or equivalent from an accredited college or university. Official transcripts showing proof that you have received your baccalaureate degree and date conferred will be required before your Autumn classes begin. We reserve the right to revoke the offer of admission if there are any unexplained discrepancies.

Statement of Purpose

This is an opportunity for you to explain the reasons behind your desire to pursue graduate study in mathematics. You may wish to discuss any relevant facts about your education or experience with mathematics which are not apparent in the other material you submit, the kind of mathematics you find interesting or wish to pursue in graduate school, and what you plan to do after obtaining a Ph.D.

Letters of Recommendation

Letters of recommendation are received through our online application system. These should be written by people who know your work well, and can judge your potential for success in graduate study. Recommenders who can offer a detailed and candid assessment of your qualifications and motivation for graduate study are preferred.

GRE/Mathematics Subject Test is not required and should not be submitted.

Applicants should take the mathematics subject test early. Please consult the GRE website for testing dates, and select dates which will provide results in time for the application deadline.

Please note that for the mathematics subject test, our institution code is 1832, and the department code is 0703 for Math.

TOEFL or IELTS

Applicants who do not meet the waiver criteria here  must submit proof of English language proficiency. Only the TOEFL iBT or IELTS Academic tests are accepted as proof of proficiency. The Department of Mathematics requires a minimum TOEFL score of 90 overall, and a minimum IELTS scores of 7.0 overall.

For the TOEFL, our institution code is 1832 and the department code is 72.

Please visit the UChicagoGRAD website for more about proof of English language proficiency.

Application Fee

The application fee is $90. The University of Chicago does not refund or defer application fees. If you feel that you may be eligible for an application fee waiver, please look for the application waiver link online and follow the instructions. If you are applying for an application fee waiver, do not submit the application fee online. If your waiver is denied, you will be required to pay the fee online. Waivers cannot be granted to foreign applicants. Applications will not be considered without the appropriate fee.

Financial Aid

All students who are offered admission will also be offered a full financial aid award which includes a full tuition scholarship and a living stipend. Enrolling in a program of study includes additional costs beyond the tuition  listed here . For a full list of direct and indirect expenses associated with the cost of attendance, please visit the  Cost of Attendance  page of the Graduate Financial Aid Office website.  There are no teaching duties during the first year. Financial aid is guaranteed to admitted students for up to five years, subject to satisfactory academic performance and satisfactory performance as a teacher. Aside from the Financial Data Form included with the online application, no special financial aid form or GAPFAS application is necessary.

Questions? Email [email protected] .

In addition, the department offers a separate Master of Science in Financial Mathematics. Please contact Meredith Hajinazarian, [email protected] for further information, 773-702-1902.

Department of Mathematics - UC Santa Barbara

Doctoral degree programs.

The Ph.D. program in Mathematics has the following requirements (details follow):

• Area Requirements: A basic full-year graduate course sequence and comprehensive exam must be passed in each of three areas of mathematics.
• Course Requirements: 72 total units of graduate work offered by the Mathematics Department, including a fourth full-year sequence. (Courses are four units each.)
• Preliminary Oral Examination and Advancement to Candidacy: An oral examination administered by the student's Doctoral Committee on topics set by the committee that are close to the area of the student's research. Doctoral students are required to advance to candidacy within four years of beginning their graduate studies at UCSB.
• Dissertation: A dissertation satisfactory to the Doctoral Committee must be written and successfully defended

Area and Course Requirements

The student must satisfy three area requirements. To fulfill an area requirement, typically the student will pass an examination on (primarily) undergraduate material and complete a designated graduate-level sequence with good grades. Detailed descriptions of the area requirements and exams can be found at http://www.math.ucsb.edu/graduate/requirements . Completion of the three area requirements will ensure the student has passed three full-year graduate course sequences in Mathematics. Two pre-approved options are: Algebra, Analysis, and any other, or Analysis, Applied Math, and Geometry/Topology. Other sets of three areas may be proposed by a student, in consultation with his/her advisor, but they require approval by the Graduate Committee.

Students must pass a total of 72 units of 200 level graduate courses offered by the Mathematics Department, with a grade of a least B or S in each course; courses fulfilling area requirements normally require an average grade of at least A- for the sequence. The required 72 units of graduate course work must include a fourth complete full-year graduate sequence. S/U grading is not allowed in the four full-year sequences (48 of the 72 total units). Mathematics 596 may not be used to satisfy any portion of the 72 unit requirement. Students should obtain approval of their faculty advisor before using Mathematics 260 courses to satisfy the 72 unit requirement.

Doctoral Committee

The student should ask a faculty member of the Mathematics Department to serve as his or her Dissertation Advisor. Choosing a Dissertation Advisor is not a triviality, but it is usually a natural process. A faculty member is likely to accept a thesis student who has done well in graduate courses related to that faculty member's field of research. Often the student will take a reading course (596) with the faculty member first in order to ensure mutually acceptable compatibility of interests and expectations. The Dissertation Advisor will help find other members of the student's Doctoral Committee and will supervise the student's dissertation research.

Oral Examination Requirements

After fulfilling the three area requirements, each Ph.D. student shall take and pass the Preliminary Oral Examination given by the student's Doctoral Committee before advancing to candidacy. Students may advance to candidacy before completing the 72 unit requirement, with the condition that they submit a course proposal of how and when the missing units will be completed. The purpose of this examination is to ensure that the student has: (A) gained breadth of knowledge on advanced topics in the areas surrounding his/her proposed dissertation topic and (B) engaged in sufficient preliminary reading and research on the proposed dissertation topic to convince his/her Doctoral Committee that he/she has a reasonably good chance to write an acceptable dissertation. The content of the examination meeting criterion (A) shall be agreed upon in writing by the student and the members of his/her committee at least three months prior to the proposed date of the examination, and will normally be equivalent to the material in about five quarter courses beyond the first year graduate level. Criterion (B) requires a satisfactory presentation by the student of his/her proposed research topic and the results of his/her preliminary reading and research on the topic. The examination will normally be scheduled to last two hours.

Dissertation

After advancing to candidacy, students complete their original research, write their dissertation on a topic agreed upon with their Dissertation Advisor, and take any other appropriate courses.

Students complete the requirements for the Ph.D. with the oral dissertation defense to the Doctoral Committee, and the filing of their dissertation with the Graduate Division Office. Students must make the arrangements for their dissertation defense. In anything other than exceptional circumstances, these arrangements must be in place at least one month prior to the date of the defense. Such arrangements include, but are not limited to: (i) making sure all of the committee members are available on the date in question, (ii) providing copies of the dissertation in a reasonably final form to each committee member, and (iii) informing the Staff Graduate Advisor.

Normal Progress for Ph.D. Students

First Two Years: Most students who have not yet begun a research program should take three courses per quarter, although in some cases two or four courses may constitute a reasonable program. The program should be planned in close consultation with a faculty advisor. Ideally, course selections in the first two years should enable the student to complete the area requirements in three areas, as well as a fourth full-year course sequence. It is common for students entering without any previous graduate work to take one or more upper division undergraduate courses in their first year to fill gaps in their preparation. Students entering with a strong Master's degree will be expected to move through the program more rapidly, and should complete area requirements within one year

Third Year: By the end of this year the student should know the area in which he or she wants to do research and should have secured a Dissertation Advisor. Ideally, research will begin during this year and the student will advance to candidacy during the year or soon thereafter. Doctoral students are required to advance to candidacy within four years of beginning their graduate studies at UCSB.

Fourth Year and Beyond: If all goes well, the student will complete the Ph.D. research, write up the results, successfully defend the dissertation and receive the degree. The departmental normative time to the Ph.D. degree is 6 years, although many students complete the degree in 5 years. These figures are slightly more than average median times to degree over the last 10 years.

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

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Ph.D. Mathematics Course, Eligibility, Entrance Exams, Syllabus, Colleges, Jobs and Scope 2024

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Content Curator

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Ph.D. Mathematics is a Doctorate of Mathematics course . It is the study of structure, space, quantity, and change. It seeks out patterns and formulates new conjectures. On the completion of a doctorate, scholars should submit their ‘thesis’ and, then they deserve the respective degree they are pursuing. 

The duration of the program is a minimum of 3 years and a maximum of 5-6 years . The minimum qualifications and other eligibility criteria for admission are M.Sc. Degree in Mathematical or Physical Sciences/ B. Tech Candidates from any discipline can also apply/ Some Institutes also offer direct admission for Graduate students with excellent academic performance. Ph.D. Mathematics is a broad-based course involving a minimum course credit requirement and a research thesis.

After completion of this course, graduates may work in fields like Banks, Investment Firms, Commerce Industry, Business Industry, Colleges, Universities, Research and Development Firms, Indian Civil Services, Inventory Management, Insurance Agencies, Statistics, etc. These professionals may work in positions like Mathematician, Statistician, Loan Officer, Accountant, Economist, Demographer, etc. The average salary for these professionals ranges between INR 3 to 9 Lakhs as per their experience and expertise in this field.

Ph.D. Mathematics: Course Highlights

Ph.D. Mathematics: What is it about?

Ph.D. Mathematics is the program of choice for students who wish to pursue a career in a mathematical research field.

• The minimum duration of this course is 2-years , whereas you can complete this course in a maximum time span of 3-5 years .
• Ph.D. Mathematics is a full-time doctoral degree.
• In Ph.D. Mathematics, students study statistical concepts relating to inspection, engineering design, and quality assurance.
• Ph.D. in Mathematics course involves research that uses various methods of mathematical types associated with the graph theory, asymptotic analysis, scientific computation, bifurcation theory, probability and statistics, ordinary and partial differential equations, stability theory, singular perturbations, and stochastic processes.
• In this course, major topics studied by the students are correlation, normality, probability, sampling, regression, and confidence intervals in reliability. This course is designed to enrich the applications like algebra and trigonometry, systems of linear equations, algebraic fractions, literal equations, quadratic equations, right triangles, vectors, word problems, and their solutions.

Why study the Ph.D. Mathematics course?

Candidates who are inclined towards a research career, many positions are available in research institutions and universities for them. And who wish to pursue a teaching career, well-paying teaching positions are available in plenty in private engineering colleges. Many research labs of multinational companies, financial services companies, and others are massively recruiting Indian mathematicians.

Some of the popular reasons why Ph.D. Mathematics must be pursued is as follows:

• This program prepares someone to keep momentum with the expanding frontiers of knowledge and provides research training relevant to the present social and economic objectives of the country.
• It comprehends to write a good research report and acquires the skill of presenting data in graphical form.
• They can also go for accountancy and business services , banking, investment and insurance, government, and public administration.
• They can become teachers and lecturers in schools and colleges/universities respectively; for becoming a lecturer in colleges they should pass the NET exam and the UGC guidelines.

Ph.D. Mathematics: Admission Process

Most colleges and institutes offering Ph.D. Mathematics courses admit students based on the graduate degree level examination marks. Some institutes, however, do conduct entrance examinations to judge a candidate’s capability.

The following are the two major pathways through which Ph.D. Mathematics admissions takes place:

Merit-Based Admission:

Most private universities such as Lovely Professional, AMU, and others that offer Ph.D. (Mathematics) courses usually admit students based on the marks secured at the master’s/ graduate degree. Apart from this, these colleges may conduct a Personal Interview or a small Written Test to further know the candidate and his/her skills.

Entrance Exam Based:

Top Ph.D. Colleges like Chandigarh University, RKMVCC, Stella Maris College, etc. offer admission in the Ph.D. (Mathematics) program through entrance examinations that usually consist of MCQ based questions related to Algebra, Analysis, Discrete Mathematics, etc. helping the college to screen the deserving candidates for admission.

After the result declaration of these Entrance Exams, colleges may further conduct a Personal Interview Round of the qualified candidates to know their interest in the course, skills, and career and might go through their Art Portfolio as well.

Ph.D. Mathematics: Eligibility

The common Ph.D. (Mathematics) eligibility criteria to be successfully admitted into a college offering this course is as follows:

• M.Sc./ Master’s Degree in Mathematical or Physical Sciences
• B. Tech Candidates from any discipline can also apply, it may vary by Institutes.
• Some Institutes also offer direct admission for Graduate Students with excellent academics records.
• Each college also further has a set minimum aggregate marks. Overall, it should be 55% (50% for SC / ST).

The above-stated eligibility criteria are the basic eligibility criteria. Each college will have its criterion on which prospective candidates are judged.

Ph.D. Mathematics: Entrance Exams

Some colleges that offer Ph.D. (Mathematics) programs require their candidates to sit for an entrance examination. This paper carries a total of 100 marks where candidates need to conclude writing the exam within a period of 3 hours.

Listed below are some of the popular Ph.D. Mathematics entrance exams.

• CSIR-UGC NET for JRF Entrance Exam: CSIR UGC NET is a national-level exam conducted by the National Testing Agency (NTA) on behalf of Council of Scientific and Industrial Research (CSIR) to shortlist candidates for the award of Junior Research Fellowship (JRF) or lectureship in Indian universities and colleges.
• UGC NET Entrance Exam: The UGC NET for JRF, also known as National Eligibility Test (NET) or NTA-UGC-NET, is the test for determining the eligibility for the post of Junior Research Fellowship (JRF) or Asst. Professor award in Indian universities and colleges.
• NBHM Entrance Exam: National Board for Higher Mathematics is a board in India that conducts a national entrance exam intended to foster the development of higher mathematics, help in the establishment and development of mathematics centers, and give financial assistance to research projects and to doctoral and postdoctoral scholars.

There are few private colleges like Chandigarh University , LPU , etc. conducts their own entrance tests for this course.

How to Prepare for a Ph.D. Mathematics Entrance Exams?

The syllabus for Ph.D. Mathematics entrance exams will vary from institute to institute. However, most exams concentrate on mathematics-related subject knowledge and skills.

The paper shall have two different parts,

• Part I - Here 10 questions will be given. Out of these, 6 will have to be answered. This part will carry 40 marks.
• Part II - Here also 10 questions will be given, out of this 6 ought to be answered. This part will carry 60 marks.

The following sections are generally covered in Ph.D. Mathematics entrance exams syllabus:

• Abstract Algebra
• Complex Analysis
• Elements of Numerical Analysis
• Linear Algebra
• Ordinary Differential Equations
• Partial Differential Equations
• Real Analysis

Students should consider buying study material and practice material of Ph.D. Mathematics entrance exams so that they prepare well for the same. This paper carries a total of 100 marks where candidates will need to conclude writing the exam within a period of 3 hours.

How to get admission in a good Ph.D. Mathematics college?

To get admission in top Ph.D. Mathematics colleges, the following points must be kept in mind:

• The application process for most of the institutes starts in January every year and the classes begin in August.
• The Colleges shortlist candidates through respective entrance exams followed by an interview.
• The best way is to appear for CSIR-NET and UGC-NET exams to get a good college for Ph.D. and for some of the colleges’ GATE is also used as a prerequisite.
• For example, ISI Kolkata uses the GATE score for admission in its Ph.D. Mathematics program. Some institutes also take admission through the NBHM Screening test conducted for Ph.D. Scholarships.

Ph.D. Mathematics: Syllabus

Although the Ph.D. Mathematics course curriculum varies from college to college, it mostly consists of some common foundation courses that students can select based on his/her interests.

The table below shows common subjects that are included in the structured Ph.D. Mathematics syllabus and subjects included in it:

Ph.D. Mathematics: Books

Tabulated below are some of the Ph.D. Mathematics subject books that can help students to have a broader and better understanding of the course. The books mentioned below will also help the students in cracking various Ph.D. Mathematics exams.

Ph.D. Mathematics: Top Colleges

The table below shows the best Ph.D. Mathematics colleges and universities that offer the course in a full-time mode.

View More   Top Ph.D. Mathematics Colleges

College Comparison

The tabulation below shows the comparison made among the three top Ph.D. Mathematics colleges in India.

Source: Official Websites of Colleges and Universities

Course Comparison

Ph.D. Mathematics Vs Ph.D. Economics

Both Ph.D. Mathematics and Ph.D. Economics have a bright future in the field of research with several aspects. There are many colleges in India who prefer both of the courses in their academic structure. Check the table below for more comparative details:

Source: Official Surveys

The eligibility and admission criteria for both these degrees are the same. In terms of Career and Salary, both Ph.D. Mathematics and Ph.D. Economics almost have the same career prospects and job opportunities, and individuals can earn an average salary of around INR 2-9 Lakhs per annum or more in some cases depending upon candidate's skills, knowledge, and experience.

Ph.D. Mathematics: Job Prospects and Career Options

In India, Ph.D. Mathematics is one of the top career choices made by students. There are lots of job opportunities available in India as well as in foreign countries for Mathematical graduates.

• Ph.D. graduates may work in a wide range of mathematical areas like Numerical Analysis, Computational Complex Analysis Group, Biomathematics Group, Complexity and Networks, Dynamical Systems, Fluid Dynamics, Mathematical Physics, etc.
• Graduates who have the ability to handle customers and basic knowledge about the industry may also work in both private and government banks.
• They can also seek employment in various sectors such as in markets research, public accounting firms, government and private banks, government and private financial sectors, budget planning, consultancies, and corporations.
• Top companies that offer jobs for these professionals are Aquis, Airtel, ITC Infotech, IBM Global Services, ABC Consultants, NEXT Techno Enterprises, Brainfuse, etc.

The table below shows some of the most common Ph.D. Mathematics job profiles and career prospects after completing the course is as follows:

Source: Payscale

Ph.D. Mathematics: Future Scope

Students having a Ph.D. mathematics degree are importantly serving the education industry and due to the laws of UGC one position of Head of Department is always secured for Ph.D. holders only.

• Employment of mathematicians in India is expected to grow by 23% as the surging demand for knowledge and expertise in private sector analytics firms.
• The private sector offers better pay and opportunities. The package can also increase if they add advanced computing skills and statistical tools in their profile.

Ph.D. Mathematics: FAQs

Ques. What are the top colleges for Ph.D. Mathematics?

Ans. The top institutes and colleges for Ph.D. Mathematics are Banaras Hindu University, Aligarh Muslim University, Amity University Noida, Birla Institute of Technology Ranchi, Queen Mary’s College, among others.

Ques. What are the subjects in Ph.D. Mathematics?

Ans. Some of the subjects taught in Ph.D. Mathematics are Algebra, Calculus, Discrete Mathematics, Differential Equations, Computational Techniques, Differential Geometry, etc.

Ques. Which job profiles are available for a Ph.D. Mathematics?

Ans. Students of Ph.D. Mathematics can work as Mathematician, Loan Officer, Accountant, Economist, Researcher, Personal Banker, Demographer, Professor, etc.

Ques. What is the annual average tuition fee charged for a Ph.D. Mathematics program?

Ans. The annual average tuition fee at the top Ph.D. Mathematics colleges is between INR 2K to INR 3 Lakh.

Ques. What is the scope of the Ph.D. Mathematics course?

Ans. Students can choose for both private and public sector jobs in several sectors like the professor, loan counselor, Insurance Manager, etc.

Ques. What is the average salary in Ph.D. Mathematics?

Ans. The salary ranges from INR 3-9 Lakhs per annum as per the job profile.

Ques. What are the job positions in the Ph.D. Mathematics field?

Ans. Job positions like Mathematician, Statistician, Loan Officer, Accountant, Economist, Researcher, Personal Banker, Cryptographer, Demographer, Professor, etc. are available in the Ph.D. Mathematics field.

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12 Reviews found

Campus Life

Life of campus is good.It has students from various regions of India and also from countries like Africa ,Niziria etc. Most of students of the CUP are from Kerala and South .It has a good library wher you can stay upto midnight.

Loan/ Scholarship Provisions

If you have any external funding then you can easily avail that fellowship.But if you don't have any fellowship then university provide a fellowship of 8000 per month to scholors which doesn't have any external funding.

Home of the traditional- SRC

Course curriculum overview.

Actually I like mathematics from my childhood itself. That's why I chose Mathematics in UG. And also I like teaching profession. So I would like to complete PhD. My guide help me lot for my research. And also other faculties of my department are also so supportive and motivating for my research.

Placement Experience

Usually at the final semester students get the opportunities for the placement. Lot of schools and companies around Trichy came here for the interview. Capgemini, SRV higher secondary school from samayapuram and AKT school from kallakurichi are the most visited schools for our campus.

Campus Life at NIT Rourkela

NIT Rourkela has nice research environment and many professsor are collaborating with some foreign unoversity professsor. The infrastructure and campus are the main attraction to many students and PhD scholars. NIT Rourkela has also actively working placement Cell. 3 students got 45 lakh package and 9 students got 43 lakh package during this pandemic year. The statistic for placement shows that its placement percentage is going to increase in upcoming days.

I have joined in this course because I want to do research in Optimization.Faculties are highly motivated towards research. Most of the Faculties have done their PhD in Top IITs and Teaching standard is upto the mark. There are two term. One is mid semi and another is End term. We have to solve the assignment regularly to perform well in the exam and exam paper are mostly moderate to difficult level.

The revolutionary mathematics research institute

Though I was doing my Master's in mathematics I had to focus more on the TIFR GS entrance exam to pursue my Ph.D. in Mathematics. Not only that, after I qualified the exam with good ranking, but only 1.5 % of top merit list students were being considered! It was such a critical situation, yet eventually, I was noticed and called for the interview that went quite well.

TIFR is financed by the Department of Atomic Energy of Government of India. A minimal (or no) fee is charged for the course, in fact, an effective amount as accommodation is given to the students depending on the course they choose.

Pursuing PhD mathematics

I want to take a doctoral degree in mathematics because I always have a huge interest in mathematics so that's the reason I opt that course. Chandigarh university provided a huge area of research so that reason i choose Chandigarh university. Firstly fill the registration forms for the entrance test then give entrance test.

College Events

Chandigarh university celebrates every festival of all religions and they organize various events eveRy month like DJ night, tech events, fresher party, farewell parties also hostels night. Bollywood and Hollywood celebrities are visiting the campus for promotion of their movies.

IIT Patna PhD in mathematics

After doing PhD we can apply for assistant professor. IIT Patna provide stipend and fellowship by mhrd, csir, ugc, dst, nbhm, pmrf e. t. c. I am a CSIR fellow whuch give fellowship very late but IIT Patna provide some help if we needed money which you can return after getting money.

PhD is higer degree and needed for to be a professor. We have to do 5 courses from elective including English literature. After that we have labs for research and computational work. We are free to choose our course paper so it reduces our complications for unwanted subjects.

My college experience

An annual book/contingency grant of Rs. 32,000 and support for research-related domestic and international travel is available to students. Junior Research Fellowships are awarded to all selected PhD students. These fellowships include a monthly stipend ranging from Rs. 25,000/- to Rs. 28,000/-, hostel accommodation (or a house rent allowance) and medical benefits.

They are various extra-cirricular activities provided by the college. They are various grounds provided for badminton, soccer and cricket. They are coaches too if you want to learn a sport and they are various events conducted. They are also labs provides for yoir research and they are well equipped.

Phd admission to Math dept

All students of the elite Indian Institutes of Technology, patna whose annual family income is less than ? 9 lakh will be eligible for interest-free education loans for a period of of five years.if you are admitted though external fellowship you give rs 31000 per month for initial three months which can be returned after start external fellowship. And if you admitted through gate you will get 31000 per month which credited first week of the month.

Research Scholars' Day (popularly known as RSD) is an annual event celebrated by the research scholars of IIT Patna. In this programme, the students are present there research paper and many of famous scientists are invited in this program.

Wastage of time and life

Worst among all the IITs, characterless, rude, unethical, all the works to be performed by teaching assistants which are research scholars. Institute lacks faculty and research scholars have to perform all the academic tasks of guide as well as teaching supervisor.

Need to fulfill the required CGPI in a year and then a comprehensive examination will be held. After successful completion of comprehensive exam including written test and presentation of the work done in past, finally registered as a Ph D. student.

Jadavpur University is the great

Fee structure and facilities.

The fee structure is very low in this university so that any poor student can effort their expenses. In addition, there are few scholarships available in this university like Merit cum means fellowship.

Internships Opportunities

Engineering faculty of this university offers various internship in India as well as abroad also. During the internship, some stipend was offered by the various companies/institute.

Ph.D. (Chemistry)

Ph.d. (physics), ph.d. (biotechnology), ph.d. (zoology), ph.d. (botany), ph.d. (english), master of science [ms], master of science [m.sc] (biotechnology), ph.d. (mathematics) colleges in india.

IIT Madras - Indian Institute of Technology - [IITM]

IIT Delhi - Indian Institute of Technology [IITD]

IIT Bombay - Indian Institute of Technology - [IITB]

IIT Kharagpur - Indian Institute of Technology - [IITKGP]

IIT Kanpur - Indian Institute of Technology - [IITK]

IIT Roorkee - Indian Institute of Technology - [IITR]

BITS Pilani (Pilani Campus)

IIT Guwahati - Indian Institute of Technology - [IITG]

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• हिन्दी │ Eng

Teaching and Learning, Policy and Leadership - Mathematics and Science Education Specialization, Ph.D.

• 60 credits - existing master’s
• 70 credits - without a master’s

Full-time, Part-time

December 3, 2024

June 30, 2025

• In-State - $12,540
• Out-of-State - $26,490

The Ph.D. in Teaching and Learning, Policy and Leadership, with a specialization in Mathematics and Science Education is designed to inspire and prepare the next generation of researchers and transformative practitioners in K-16 mathematics and science education.

As a student in this program, you’ll delve into both traditional and cutting-edge research in mathematics and science education, explore theories of individual and social cognition, and learn about teacher education. You’ll gain expertise in research methods that are essential for mathematics and science education, while connecting theory, research and practice.

You'll also develop your own skills as a mathematical and scientific thinker. The curriculum includes rigorous and engaging courses that cover teaching, learning, policy, and teacher preparation in mathematics and science to help strengthen your skills as a mathematical and scientific thinker. You can also choose more specialized courses focused on either mathematics or science education. Plus, there are opportunities to take courses in STEM policy and leadership.

Our program is uniquely positioned in one of the most diverse regions in the country and our faculty have strong connections with the largest school districts in Maryland. This gives you the chance to receive real-world experience and to engage directly with students in urban school environments. 

Key Features

• Integration of Theory, Research, and Practice : Our program emphasizes the connection between theoretical frameworks, empirical research, and practical application in mathematics and science education
• Focus on Urban Education : Our program leverages its location near Washington, DC, to address the specific needs of high-needs urban school districts, offering students hands-on experience and opportunities to impact communities where it’s needed most
• Development of Expertise : Our program develops students' skills as both researchers and practitioners and offers a comprehensive curriculum that includes courses in teaching, learning, policy, and specialized courses in mathematics or science education, along with opportunities in STEM policy and leadership
• A deep understanding of both traditional and cutting-edge research in mathematics and science education, as well as the research methods commonly used in this field
• Knowledge of theories of individual and social cognition related to mathematics and science education
• Learn how to connect theory, research, and practice effectively in educational settings
• Enhance your abilities as a mathematical and scientific thinker

Information on admissions and application to this program can be found on the University Graduate Admissions website and the program handbook.

Admission Requirements           Guide to Applying

Sharon Fries-Britt, Professor

On average, our program takes at least three years to complete, with five years being a typical timeline.If you have a master’s degree, you will take a minimum of 60 credits. If you do not have a master’s degree, you will take a minimum of 70 credits and work with your advisor to develop an individualized plan that seamlessly blends master’s level and doctoral level coursework. 

You will take a two-course “departmental core” sequence introducing you to educational research and helping you refine your research interests; four courses on approaches to conducting research; five courses on mathematics and science education, and elective courses chosen to help you pursue your academic and career interests.

Our faculty are chosen for their expertise and dedication; they provide exceptional guidance and support to foster your academic and professional success.

Mathematics Education Specialization

Center for Mathematics Education Faculty Listing

Science Education Specialization

Center for Science and Technology Education Faculty Listing

For more information about the admissions process, please contact:  Kay Moon Graduate Coordinator [email protected]  

For math-specific questions, please contact::  Andrew Brantlinger Associate Professor [email protected]  

For science-specific questions, please contact:  Andrew Elby Professor [email protected]  

Sep 17 Graduate Fair Expo Sep 17, 2024 4:00 – 6:00 pm

Sep 25 COE Open House Sep 25, 2024 11:00 am – 2:00 pm Benjamin Building Courtyard

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NSF Graduate Research Fellowship Program (GRFP)

View guidelines, important information about nsf’s implementation of the revised 2 cfr.

NSF Financial Assistance awards (grants and cooperative agreements) made on or after October 1, 2024, will be subject to the applicable set of award conditions, dated October 1, 2024, available on the NSF website . These terms and conditions are consistent with the revised guidance specified in the OMB Guidance for Federal Financial Assistance published in the Federal Register on April 22, 2024.

Important information for proposers

All proposals must be submitted in accordance with the requirements specified in this funding opportunity and in the NSF Proposal & Award Policies & Procedures Guide (PAPPG) that is in effect for the relevant due date to which the proposal is being submitted. It is the responsibility of the proposer to ensure that the proposal meets these requirements. Submitting a proposal prior to a specified deadline does not negate this requirement.

Supports fellowships for outstanding graduate students who are pursuing full-time, research-based masters and doctoral degrees in science, technology, engineering or math or STEM education.

The purpose of the NSF Graduate Research Fellowship Program (GRFP) is to help ensure the quality, vitality, and diversity of the scientific and engineering workforce of the United States. The program recognizes and supports outstanding graduate students who are pursuing full-time research-based master's and doctoral degrees in science, technology, engineering, and mathematics (STEM) or in STEM education. The GRFP provides three years of support over a five-year fellowship period for the graduate education of individuals who have demonstrated their potential for significant research achievements in STEM or STEM education.  NSF actively encourages submission of applications from the full spectrum of diverse talent that society has to offer which includes underrepresented and underserved communities.

NSF GRFP was established to recruit and support individuals who demonstrate the potential to make significant contributions in STEM. NSF especially encourages applications from undergraduate seniors and Bachelor's degree-holders interested in pursuing research-based graduate study in STEM.  First- and second-year graduate students in eligible STEM fields and degree programs are also encouraged to apply.

Program contacts

The Graduate Research Fellowship Operations Center is responsible for processing applications and responding to requests for information.  General inquiries regarding the Graduate Research Fellowship Program should be made to:

Graduate Research Fellowship Operations Center, telephone: 866-NSF-GRFP, 866-673-4737 (toll-free from the US and Canada) or 202-331-3542 (international). email: [email protected]

Program events

• August 15, 2024 - Information and Intelligent Systems (IIS) Office Hours
• August 12, 2024 - DEB Virtual Office Hour: Graduate Research Fellowship Program
• July 18, 2024 - IOS Virtual Office Hour: Graduate Research Fellowship Program
• August 15, 2023 - Division of Biological Infrastructure (DBI) Virtual Office…
• August 9, 2023 - MCB Virtual Office Hour: Graduate Research Fellowship Program

Additional program resources

• Non-NSF website with comprehensive information on how to apply, eligibility, phone numbers and email addresses
• Frequently Asked Questions (FAQs) for the Graduate Research Fellowship Program
• Administrative Guide for Fellows and Coordinating Officials
• List of Fellows and Honorable Mentions

Awards made through this program

Organization(s).

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• Directorate for Social, Behavioral and Economic Sciences (SBE)
• Directorate for Technology, Innovation and Partnerships (TIP)
• Office of Integrative Activities (OD/OIA)
• Office of International Science and Engineering (OD/OISE)

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Indian Institute of Technology Kanpur

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• Adimurthi is a recipient of the Rashtriya Vigyan Puraskar, Vigyan Shri, 2024.
• Dootika Vats has been selected as an Associate of Indian Academy of Science .
• Mrinmay Biswas is the recipient of the Sushila and Kantilal Mehta Award of IIT Kanpur for the year 2024 .
• PHD ADMISSIONS: ACADEMIC SESSION 2024-25 (SEMESTER-I)
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• Harish-Chandra Birth Centenary Lecture Series-September 2023- March 2024

Welcome Message

- Prof. Mohua Banerjee Head, Department of Mathematics and Statistics Indian Institute of Technology Kanpur