Admission to PhD Courses

The department offers PhD course in various areas of Mathematics, Statistics and Operations Research. The selection is through a written entrance test and interview. The written test will carry 75 marks and the interview 25 marks.

 The written test is conducted in various centres throughout India. The advertisement for admission appears in national newspapers around the first week of April every year. Entrance Examination will be conducted in the first week of June.

The UGC-CSIR JRF qualified candidates or NBHM research awardees may be considered for admission any time during the year depending upon the availability of seats. The selection in such cases will be based on an interview.

Each admitted student who do not possess any fellowship from any other agency will be paid a Fellowship/ Scholarship of  Rs. 5000 p.m. as per the existing  rules of the University.

Eligibility

For applying for the Ph.D.  Courses, a candidate should satisfy the following criterion:

Second class Masters degree in concerned or related subjects with at least 55% marks or equivalent grade.

The selection is through a written entrance test and interview. The written test will carry 75 marks and the interview 25 marks.

A majority of questions in the written test for admission to Ph.D. programme  in Mathematics/ Applied Mathematics will be at the level of M.Sc. in the following areas:  Real Analysis, Complex Analysis, Algebra, Linear Algebra, Topology, Functional Analysis, Ordinary and Partial differential equations, Calculus of Variations, Classical Mechanics, Numerical Analysis.

For the Ph.D. programme in Statistics the questions will be at the level of M.Sc. in the areas: Probability theory, Statistical Inference, Sampling techniques, Stochastic Processes, Linear Models, Design & Analysis of experiments, Multivariate analysis, Linear Programming.

For joining the  Ph.D. programme  in Operations Research, a person may appear for the admission test either in Pure/Applied Mathematics or Statistics

The Question paper for the written test consists of two parts, A and B. Part A has 25 questions, each carrying 1 mark. Negative marking will be there for this part (-0.33 marks for each wrong answer). Part B is descriptive consisting of  10 questions, 5 marks for each question. There won't be any negative marking in Part B. Credit will be given more to the understanding of concepts rather than to mechanical proofs of the results.

Attending written test is not compulsory for UGC-CSIR JRF qualified candidates or NBHM research awardees (whose fellowship should be valid at the time of joining the University, if selected) , in lieu of which they will be given a weightage of 45 out of  75 marks in the written tests. They will, however, have the option to appear in the written tests to secure more than 45 out of 75 marks. They must appear for the interview like other candidates. . Note that  candidates only with NET (without JRF)  MUST attend the written test.

Currently PhD programme is available in the following areas:

• Algebraic geometry

• Algebraic number theory

• Commutative Algebra

• Complex analysis

• Differential Geometry

• Dynamical systems

• Fluid mechanics

• ODE

• PDE

• Harmonic analysis

• Number theory 

• Operations Research

• Order statistics

• Outliers and Regression Diagnostics

• Statistical Inference and Reliability

• Reliability Theory

• Distribution Theory

Please see the faculty list and their research areas for details.

Students admitted to the Ph.D. programme are required to pass a few courses recommended by the Department in the first year and have to face a comprehensive viva at the end of the 1st year.  Only those candidates who qualify in the viva are eligible to continue their registration in the Ph.D programme of the department.  They are also expected to take part in the weekly Colloquium / Seminar of the department.