PhD. Mathematics or Doctor of philosophy in Mathematics is
a research based Doctorate course. Mathematics is a complex field, studies
numbers, structure, space, quantity, calculations, counting and measurements.
The duration of the course is a minimum of 3 years and a maximum of 5 to 6
years as depending on your research proposal. The minimum qualifications for
admission are M.Sc. in Mathematics or Physical Sciences/ B. Tech Candidates
from any discipline can also apply for the course.
Ph.D. Mathematics:
Course Highlights
Course Level 
Doctorate Course 
FullForm 
Doctor of Philosophy in Mathematics 
Duration 
3 years 
Examination Type 
Semesterbased 
Eligibility 
Master’s degree from any
discipline with a minimum of 55% score 
Admission process 
Meritbased / Entrance Examination 
Course Fee 
20,000 – 3 Lakhs per annum 
Average Salary 
3 – 9 Lakhs per annum 
Top Recruiting Companies 
Investment Firms, Commerce
Industry, Business Industry, Universities, Colleges, Research and Development Firms, Inventory
Management, Insurance Agencies, Statistics (e.g. Ernst & Young, Tiger
Analytics, TCS Innovation Lab, Weizmann Institute, etc.) 
Job Positions 
Mathematician, Statistician, Accountant, Economist, Researcher, Personal
Banker, Cryptographer, Demographer, Professor, etc. 
Eligibility
The common eligibility criteria, of Ph.D. in Mathematics to
be successfully admitted into a college/universities offering this course, is
given follows:
Student required to pass M.Sc./ Master’s Degree in
Mathematical or Physical Sciences or equivalent from a recognized universities
or board.
Student required to poses minimum 50% aggregate marks in master’s
degree. A 5% relaxation is also given to reserved category Sc/ST students
Students having M Phil degree can
be exempted from entrance test or course work..
Admission Process
Some colleges/institutes offering
PhD Mathematics program admit candidates based on the master's degree level
examination marks. However some colleges/institutes do conduct entrance
examinations to judge a candidate’s capability.
MeritBased Admission:
Some private colleges/institutes
admit students based on the marks secured by students at the master’s degree.
Colleges may conduct a group discussion
round or Personal Interview or a small Written Test to further check the
students skills.
Entrance Exam Based:
Some reputed Colleges offering
Ph.D. Mathematics admits students through entrance examinations that usually conducted
by universities own or national level examination. The admission process is
further followed by group discussion round or Personal Interview to further
check the students skills.
Some of the popular Ph.D.
Mathematics entrance exams are listed below
 CSIRUGC NET for JRF Entrance Exam
 UGC NET Entrance Exam
 NBHM Entrance Exam etc.
Ph.D. Mathematics: Syllabus
The table below shows common
topics that are included in the structured Ph.D. Mathematics syllabus:
1 Year 
2 Year 
3 Year 
Algebra 
Differential Equation 
Mathematical Finance 
Analysis 
Differential Geometry 
Mechanics 
Calculus

Discrete Mathematics 
Metric Space 
Computational Techniques 
English Literature

Number Theory 
Computer Science

Computer Science

Probability Theory 
Top Colleges
The table below shows the top most
colleges and universities that offer the PhD Mathematics in a fulltime mode.
 Indian Institute of Science
 Banaras Hindu University
 Aligarh Muslim University
 Ramakrishna Mission Vivekananda
College
 Queen Mary’s College
 Sri Ramakrishna College of Arts
and Science
 Amity University
 Stella Maris College, Chennai
 Birla Institute of Technology
 Kuvempu University etc.
Job Prospects and Career Options
In India, one of the top most PhD specialization
opted by students is PhD Mathematics. There are a lots of Career Options
available in India as well as in other countries for PhD Mathematics graduates.
The table given below shows some of the most common job profiles after
completing the course.
 Cashier
 Insurance Manager
 Finance Manager
 Accountant
 Loan Counselor
 Professor/ Asst. Professor etc.