All articles
9 min read

PhD in Mathematics in India: Which Exam Opens Which Door

Admission to a PhD in mathematics in India runs through a national or institute-level exam followed by an interview. The accepted exam differs by institute, so choose the institute first.

By Sunil Bansal, Founder · Updated 10 Oct 2026

A young Indian student studies at a desk by a window, working through handwritten mathematical proofs with a stack of notebooks beside them.

Key takeaways

  • A funded PhD in mathematics in India is entered by exam plus interview, and the accepted exam differs by institute. The options are the NBHM test, CSIR-NET, GATE or an institute's own test, and no exam is accepted at all five institutes compared below.
  • A qualifying result gets you screened and interviewed, not admitted. A JRF (Junior Research Fellowship) is the fellowship-level result of CSIR-NET.
  • Most funded routes pay ₹37,000 a month for the first two years and ₹42,000 after that; IIT Bombay research assistantships pay ₹42,000 and ₹47,000. On IIT Bombay teaching assistantship terms that is about ₹24 lakh in stipend over five years (our calculation).
  • Pick your target institutes first, read their current admission notices, then choose the exam.
In this article
  1. 1Which exam do you need for a PhD in mathematics in India?
  2. 2Does qualifying CSIR-NET JRF guarantee a PhD seat?
  3. 3How much does a funded mathematics PhD pay?
  4. 4When do mathematics PhD applications open each year?
  5. 5What is the syllabus for a PhD in mathematics, and how long does it take?
  6. 6Which five checks decide your exam before you start preparing?
  7. 7How does SBTech Math help with CSIR-NET and GATE preparation?
  8. 8Frequently asked questions

The Institute of Mathematical Sciences (IMSc) takes the test of the National Board for Higher Mathematics (NBHM) or a high rank in CSIR-NET, the national eligibility test run by the Council of Scientific and Industrial Research with the University Grants Commission (UGC). The Tata Institute of Fundamental Research (TIFR) School of Mathematics takes only its own test. The Indian Institute of Science (IISc) takes a Graduate Aptitude Test in Engineering (GATE) score or a fellowship-level result. A student who prepares for the wrong exam can be ineligible at the next institute. That mismatch can cost a year before any interview is offered.

The pay makes the choice worth the effort. NBHM gives its doctoral scholars ₹37,000 a month for the first two years, and UGC fellowships run on the same scale.

The sections below cover which institutes accept which exam, why a qualifying score is not a seat, what funding adds up to over five years, how the yearly calendar runs, and five checks to run before you commit to an exam.

Which exam do you need for a PhD in mathematics in India?

You need the exam your target institute accepts, and the five institutes below accept different ones. Choose two or three institutes, find the exam each lists, and prepare for the one that appears most often among them.

Three terms recur in the table. JRF is the Junior Research Fellowship that a high CSIR-NET score can earn. JAM is the Joint Admission Test for MSc. IISER stands for Indian Institute of Science Education and Research.

InstituteExam or route accepted for a mathematics PhDSource
IMScNBHM written test, or CSIR-NET with a rank in the top 30 in Mathematics; interviews in March
TIFR, School of MathematicsIts own graduate-studies test only; no other exam score is accepted
IIScA valid GATE score, or a JRF-level qualification such as the CSIR-UGC NET for JRF
IIT BombayA valid GATE score or a national fellowship, then a written test and/or interview
IISER PuneNBHM test, JAM in mathematics or statistics, or the institute's own two-stage written test

Rules above are from each institute's 2026 or 2026-27 documents, as of October 2026.

We counted the table's rows. CSIR-NET (or a CSIR-NET JRF) is accepted at IMSc and IISc, and IIT Bombay accepts national fellowships. The NBHM test is accepted at IMSc and IISER Pune. GATE is accepted at IISc and IIT Bombay. An institute's own test is the route at TIFR and IISER Pune. No exam appears in all five.

The NBHM test is the most widely shared single exam outside this table: its scores are used to screen applicants at ten institutions. They are the Harish-Chandra Research Institute, five IISERs (Berhampur, Bhopal, Mohali, Pune and Thiruvananthapuram), the Kerala School of Mathematics, Krea University, the National Institute of Science Education and Research (NISER) and IMSc. Our NBHM scholarship page covers its pay and past papers.

If your targets are IIT departments, our page on GATE Mathematics vs CSIR-NET for an IIT PhD compares the two exams department by department.

Does qualifying CSIR-NET JRF guarantee a PhD seat?

No. A JRF qualification makes you eligible to be screened and interviewed, and it brings a fellowship with it. The institute still selects you through its own stages.

A candidate sits across a table from two faculty members during a PhD selection interview.
Even with a fellowship in hand, the institute still decides through its own interview.

At IMSc, applicants are shortlisted on NBHM or CSIR-NET performance, interviewed in March, and selected on test, interview and academic record together. At IISc, screening on exam scores is followed by an interview that determines final selection. IISER Pune runs a test and then interviews.

The Lectureship-only result needs a separate check. CSIR-NET can qualify you for a JRF, or only for Lectureship, which means eligibility for Assistant Professor posts. IISc states that candidates qualified only for Lectureship are not eligible for its research programmes. If research admission is your goal, a Lectureship-only result is a weaker outcome than it sounds.

Our inference, not an institute rule: interviews at this level are likely to test whether you can explain proofs aloud, so practise that. Our page on GATE Mathematics vs IIT PhD interview preparation covers that gap.

How much does a funded mathematics PhD pay?

A funded mathematics PhD pays ₹37,000 a month for the first two years and ₹42,000 after that, at most of the funding routes compared here. IIT Bombay research assistantships pay ₹42,000, then ₹47,000. Rates from the 2026 documents:

SourceFirst two yearsAfter thatSource link
UGC JRF, then SRF (Senior Research Fellowship)₹37,000₹42,000
NBHM doctoral scholarship₹37,000₹42,000, subject to review
IIT Bombay teaching assistantship₹37,000₹42,000
IIT Bombay research assistantship₹42,000₹47,000
TIFR PhD₹37,000₹42,000 after registration

Extras differ. NBHM adds a ₹40,000 yearly contingency grant and house rent allowance (HRA) at Government of India norms. UGC's contingency for science scholars is ₹12,000 a year for a JRF and ₹25,000 for an SRF. TIFR provides hostel accommodation or HRA. IIT Bombay's teaching assistantship requires 8 hours a week of teaching duty.

Our model for the five-year total uses IIT Bombay's teaching assistantship terms, which run up to five years or until thesis submission. 24 months at ₹37,000 is ₹8,88,000, and 36 months at ₹42,000 is ₹15,12,000. The total is ₹24,00,000, or ₹24 lakh. This is stipend only and assumes both rates continue for the full period. On the research assistantship rates the same arithmetic gives ₹10,08,000 plus ₹16,92,000, or ₹27,00,000.

Provisionally admitted students at TIFR receive no fellowship until they submit proof of passing their qualifying examination, which is a reason to hold the exam result before you join.

When do mathematics PhD applications open each year?

As of October 2026, the NBHM portal for the 2027 cycle is expected to open in the first week of December, following the 2025 pattern, with the written test in January. The exam you need is usually sat months before the application, and dates shift, so confirm them on each institute's notice.

One IMSc rule decides which CSIR-NET sitting counts. IMSc considers only results published before 1 March of the admission year: for 2026 admissions it accepted the December 2024, July 2025 and December 2025 sittings, with the top 30 ranks in Mathematics eligible to apply (IMSc). CSIR-NET is held twice a year, and our CSIR-NET exam date page tracks the next sitting.

Last cycle (admissions for 2026):

  • NBHM: applications ran from 3 to 21 December 2025, the written test was on 24 January 2026, interview shortlists came on 27 February, interviews in March, and final results on 30 April 2026 (NBHM).
  • IISc: the 2026-27 notice was dated 4 February 2026 and applications ran from 11 February to 23 March 2026. Exam scores had to be valid on 1 August 2026 (IISc).
  • IISER Pune: applications ran from 2 to 22 March, the written test was on 4 April and interviews were on 15 and 16 May 2026 (IISER Pune).
  • IIT Bombay: it admits in both autumn and spring semesters (brochure).

Our inference from this pattern: a student in the final year of an MSc should settle the exam by the start of that year. The December and January exams decide entry for the following August, and there is little slack once the interview season starts.

What is the syllabus for a PhD in mathematics, and how long does it take?

There is no single national syllabus. Coursework is set by each institute (Delhi University: six months and 16 credits; IISc: at least 12 credits), the NBHM entrance test has no prescribed syllabus, and UGC rules allow three to six years for full-time scholars.

Research scholars attend a coursework session in a university classroom while an instructor points to a blackboard of abstract diagrams.
Each institute sets its own coursework before the long stretch of research begins.

The UGC regulations set a minimum of three years from registration of the research topic and a maximum of six (UGC regulations). Delhi University's department describes six months of coursework and 16 credits, including two mandatory courses (Research Methodology, and Research and Publication Ethics) and three electives from nine, with a programme length of about three to five years. IISc requires at least 12 credits, at three credits a course.

Topics depend on the department. IIT Bombay's mathematics department lists research areas such as Algebra and Number Theory, Analysis, and Combinatorics and Theoretical Computer Science (brochure).

For the NBHM test, question papers with keys from 2005 onward are available on its website. Our recommendation is to treat those past papers as your syllabus and to time yourself on them.

Which five checks decide your exam before you start preparing?

Run these five checks in order, and stop when one fails. Each has a clear pass or fail.

  1. 1

    Three named targets

    Pass: you have chosen three institutes, opened each one's current admission notice, and found the exam listed in its eligibility section. Fail: you are relying on a summary of the rules.
  2. 2

    Degree and marks

    Pass: your marks meet each institute's floor. IIT Bombay needs first class or 60% (55% for Scheduled Castes and Scheduled Tribes, SC/ST) (brochure). IISc needs second class or equivalent (notice). IISER Pune asks for 60% aggregate, or 55% for SC/ST and persons with disabilities (IISER Pune). Fail: you fall below any floor.

  3. 3

    A route your target accepts

    Pass: your route is one the target accepts. IMSc takes the NBHM test or a CSIR-NET rank in the top 30. IISc takes a valid GATE score or a JRF-level result. Fail: your only result is Lectureship eligibility.
  4. 4

    Score validity

    Pass: your score or certificate will still be valid on the date the notice names. IISc's 2026-27 notice used 1 August 2026. Fail: it expires before then.
  5. 5

    Interview readiness

    Our test, not an institute rule. Pass: you can explain a standard proof aloud, without notes, in about five minutes. Fail: you can only write it.

How does SBTech Math help with CSIR-NET and GATE preparation?

We prepare students for CSIR-NET and GATE Mathematics, two of the exams in the table above, with live online classes and recorded courses.

Our CSIR-NET and GATE Mathematics 2027 course includes PDF notes, assignments, previous-year-question discussion, mock tests and analytics of your progress. As of October 2026 it costs ₹15,999 as a one-time payment, or four instalments of ₹3,999.75 totalling ₹15,999, with access through 30 June 2027. A ₹999 demo plan is also available. The CSIR-NET December 2026 Live Batch costs ₹11,999 one-time, or three instalments of ₹3,999.67.

SB Sir teaches Pure Mathematics, Eshita Mam teaches Applied Mathematics, and Vivek Sir teaches Abstract Algebra and Real Analysis. SB Sir designs all our test series and conceptual tests, including the Core Concept Diagnostic test series. Our free content is a way in before you pay: it includes TJK 9.0, demo classes and our PDF Drive.

If you are unsure whether CSIR-NET or GATE suits your target institutes, contact us and tell us your shortlist.

Not sure whether CSIR-NET or GATE fits your shortlist?

Contact us and tell us your shortlist of institutes.
Contact SBTech Math

Frequently asked questions

Yes, at some institutes. TIFR's School of Mathematics admits through its own test, and IISER Pune accepts its own written test, with a national exam encouraged but not mandatory. Funding terms differ, so check each notice.

A NET pass without a JRF is accepted only by departments that say so in their own notices, so check each one. The NBHM test is a separate route that does not depend on NET.

Sometimes. TIFR lets four-year degree holders with at least 75% aggregate apply directly to its PhD, and IMSc has an Integrated PhD for bachelor's graduates in mathematics or statistics. IISc lists a valid GATE score or NET JRF as mandatory for four-year BSc holders.

There is no single best university. Pick the institute whose faculty work in your area and whose accepted exam you can sit: IMSc or IISER Pune if you will take the NBHM test, IISc or IIT Bombay if you have a GATE score.

Yes. IISc offers Mathematical Sciences through its Mathematics Initiative (IISc notice). TIFR's International Centre for Theoretical Sciences (ICTS) accepts candidates who are JRF-qualified in CSIR-UGC NET (Mathematical Sciences), and TIFR also lists a PhD in Applied and Computational Mathematics at its Centre for Applicable Mathematics in Bengaluru (TIFR eligibility table).

Sources

  1. 1.NBHM Doctoral and Master's Scholarship Schemes 2026 (advertisement)
  2. 2.IMSc: PhD and Integrated PhD programmes in Mathematics
  3. 3.TIFR Graduate Studies 2026: eligibility table
  4. 4.TIFR: graduate student scholarship
  5. 5.IISc admission notice 2026-27
  6. 6.IISc Department of Mathematics: PhD programme
  7. 7.IIT Bombay PhD information brochure 2026-27
  8. 8.IISER Pune: mathematics PhD admissions
  9. 9.UGC: Junior Research Fellowship in Science, Humanities and Social Sciences
  10. 10.UGC (Minimum Standards and Procedure for Award of PhD Degree) Regulations, 2022
  11. 11.Delhi University Department of Mathematics: PhD programme

Keep reading

SBTechMath.

India's trusted Mathematics learning platform for CSIR-NET, GATE, IIT-JAM, CUET PG, and competitive exam aspirants. Learn concepts that help you succeed.

© 2026 SBTech Math

Powered by PageLens.ai

Crack CSIR-NET, GATE & IIT-JAM with concept-first learning.

Start Now