PhD in Mathematics

PhD in Mathematics Admission 2023: Application Form, Notification, Exam Dates, Eligibility, Top Colleges

Ph.D. Mathematics is a Doctorate of Mathematics course. It is the investigation of construction, space, amount, and change. It searches out designs and figures out new guesses. On the fruition of a doctorate, researchers ought to present their ‘proposition’ and, then, at that point, they merit the individual degree they are chasing after.

The term of the program is at least 3 years and a limit of 5-6 years. The base capabilities and other qualification standards for confirmation are M.Sc. Degree in Numerical or Actual Sciences/B. Tech Candidates from any discipline can likewise apply/A few Establishments likewise offer direct confirmation for Graduate students with incredible scholastics execution. Ph.D. Mathematics is an expansive based course including a base course credit prerequisite and a research proposition.

This doctoral program propagates a chance for graduates to acquire undeniable level research abilities and significantly develop their insight in the space of Mathematics. This Ph.D. in Mathematics program trains students to utilize hypothetical and computational research techniques to take care of a great many issues from the most unique to the extremely applied. The principal focal point of the program is on significant research on center areas of mathematics prompting the Ph.D. exposition which drives students to foster their abilities in introducing and showing mathematics and its applications.

After fulfillment of this course, graduates might work in fields like Banks, Trading companies, Trade Industry, Business Industry, Schools, Colleges, Research and Improvement Firms, Indian Common Administrations, Stock Administration, Protection Organizations, Measurements, and so on.

These experts might work in places like Mathematician, Analyst, Advance Official, Bookkeeper, Financial specialist, Demographer, Researcher, Individual Financier, Cryptographer, Demographer, and so on. The typical compensation for these experts ranges between INR 3 to 9 Lakhs according to their experience and ability in this field.

Ph.D. Mathematics: Course Highlights

Course LevelDoctorate CourseFull-FormDoctor of Reasoning in MathematicsDuration3 yearsExamination TypeSemester-basedEligibilityM.Sc. Degree in Numerical or Actual Sciences/B. Tech Candidates from any discipline with at least 55% scoreAdmission processMerit-based/Entry ExaminationCourse FeeINR 20,000 – 3 Lakhs for every annumAverage SalaryINR 3 – 9 Lakhs for each annumTop Enrolling CompaniesBanks, Venture companies, Trade Industry, Business Industry, Schools, Colleges, Research and Advancement Firms, Indian Common Administrations, Stock Administration, Protection Offices, Measurements (for example Ernst and Youthful, Tiger Examination, TCS Advancement Lab, Weizmann Foundation, etc.)Job PositionsMathematician, Analyst, Credit Official, Bookkeeper, Financial expert, Researcher, Individual Broker, Cryptographer, Demographer, Teacher, and so on.

Ph.D. Mathematics: What is it about?

Ph.D. Mathematics is the program of decision for students who wish to seek after a vocation in a numerical research field.

• The base term of this course is 2-years, while you can get done with this course in a most extreme stretch of time of 3-5 years.

• Ph.D. Mathematics is a full-time doctoral certification.

• In Ph.D. Mathematics, students concentrate on factual ideas connecting with review, designing plan, and quality confirmation.

• Ph.D. in Mathematics course includes research that utilizes different techniques for numerical sorts related with the chart hypothesis, asymptotic examination, logical calculation, bifurcation hypothesis, likelihood and measurements, conventional and halfway differential conditions, soundness hypothesis, particular bothers, and stochastic cycles.

• In this course, significant points concentrated on by the students are relationship, ordinariness, likelihood, testing, relapse, and certainty spans in unwavering quality. This course is intended to improve the applications like polynomial math and geometry, frameworks of straight conditions, logarithmic parts, strict conditions, quadratic conditions, right triangles, vectors, word issues, and their answers.

Why study the Ph.D. Mathematics course?

Candidates who are leaned towards a research profession, many positions are accessible in research establishments and colleges for them. What’s more, who wish to seek after a showing profession, well-paying showing positions are accessible in a lot in confidential designing schools. Many research labs of global organizations, monetary administrations organizations, and others are enormously enrolling Indian mathematicians.

A portion of the famous justifications for why Ph.D. Mathematics should be sought after is as per the following:

• This program sets someone up to keep energy with the growing wildernesses of information and gives research preparing applicable to the current social and financial goals of the country.

• It fathoms to compose a decent research report and secures the expertise of introducing information in graphical structure.

• They can likewise go for bookkeeping and business administrations, banking, venture and protection, government, and public organization.

• They can become educators and speakers in schools and schools/colleges separately; for turning into a teacher in universities they ought to breeze through the NET test and the UGC rules.

Ph.D. Mathematics: Admission Process

Most universities and establishments offering Ph.D. Mathematics courses concede students in view of the advanced education level assessment marks. A few organizations, be that as it may, do direct selection tests to pass judgment on a candidate’s capacity.

Coming up next are the two significant pathways through which Ph.D. Mathematics affirmations happens:

Merit-Based Admission:

Most confidential colleges like Lovely Professional, AMU, and others that offer Ph.D. (Mathematics) courses ordinarily concede students in view of the imprints got at the master’s/advanced education. Aside from this, these schools might direct an Individual Meeting or a little Composed Test to additional know the candidate and his/her abilities.

Entrance Exam Based:

Top Ph.D. Schools like Chandigarh University, RKMVCC, Stella Maris School, and so forth offer confirmation in the Ph.D. (Mathematics) program through selection tests that normally comprise of MCQ based questions connected with Variable based math, Examination, Discrete Mathematics, and so on assisting the school with evaluating the meriting candidates for affirmation.

After the outcome statement of these Selection tests, universities might additionally lead an Individual Meeting Round of the certified candidates to know their advantage in the course, abilities, and vocation and could go through their Craft Portfolio too.

Ph.D. Mathematics: Eligibility

The normal Ph.D. (Mathematics) qualification rules to be effectively conceded into a school offering this course is as per the following:

• M.Sc./Master’s Certification in Numerical or Actual Sciences

• B. Tech Candidates from any discipline can likewise apply, it might shift by Foundations.

• A few Foundations likewise offer direct confirmation for Graduate Students with brilliant scholastics records.

• Every school likewise further has a set least aggregate imprints. By and large, it ought to be 55% (half for SC/ST).

The above-expressed qualification models are the fundamental qualification rules. Every school will have its model on which imminent candidates are judged.

Ph.D. Mathematics: Entrance Exams

A few universities that offer Ph.D. (Mathematics) programs require their candidates to sit for a selection test. This paper conveys a sum of 100 imprints where candidates need to close composing the test inside a time of 3 hours.
Recorded underneath are a portion of the well known Ph.D. Mathematics placement tests.

• CSIR-UGC NET for JRF Placement test: CSIR UGC NET is a public level test led by the Public Testing Organization (NTA) for the benefit of Board of Logical and Modern Research (CSIR) to waitlist candidates for the honor of Junior Research Cooperation (JRF) or lectureship in Indian colleges and schools.

• UGC NET Placement test: The UGC NET for JRF, otherwise called Public Qualification Test (NET) or NTA-UGC-NET, is the test for deciding the qualification for the post of Junior Research Partnership (JRF) or Asst. Teacher grant in Indian colleges and schools.

• NBHM Placement test: Public Board for Higher Mathematics is a board in India that leads a public selection test planned to cultivate the improvement of higher mathematics, help in the foundation and improvement of mathematics focuses, and give monetary help to research projects and to doctoral and postdoctoral researchers.

There are not many confidential schools like Chandigarh University, LPU, and so on conducts their own entry tests for this course.

Exam Name

Application Period

Exam Date

Exam Mode


To be announced

To be announced



April 30, 2023 – May 30, 2023

July 9-12, 2023 and August 12-14, 2023


NBHM Entrance Exam

To be announced

To be announced


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

The prospectus for Ph.D. Mathematics selection tests will fluctuate from one establishment to another. Be that as it may, most tests focus on mathematics-related subject information and abilities.
The paper will have two distinct parts,
• Part I – Here 10 inquiries will be given. Out of these, 6 should be replied. This part will convey 40 imprints.
• Part II – Here additionally 10 inquiries will be given, out of this 6 should be replied. This part will convey 60 imprints.

The accompanying segments are for the most part canvassed in Ph.D. Mathematics placement tests prospectus:

1. Abstract Variable based math
2. Complex Examination
3. Elements of Mathematical Examination
4. Linear Variable based math
5. Ordinary Differential Conditions
6. Partial Differential Conditions
7. Real Examination

Students ought to think about purchasing concentrate on material and practice material of Ph.D. Mathematics selection tests so they get ready well for something very similar. This paper conveys a sum of 100 imprints where candidates should close composing the test inside a time of 3 hours.

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

To get affirmation in top Ph.D. Mathematics schools, the accompanying focuses should be remembered:

• The application cycle for a large portion of the establishments begins in January consistently and the classes start in August.

• The Schools waitlist candidates through individual selection tests followed by a meeting.

• The most effective way is to show up for CSIR-NET and UGC-NET tests to get a decent school for Ph.D. furthermore, for a portion of the universities’ GATE is likewise utilized as an essential.

• For instance, ISI Kolkata utilizes the GATE score for affirmation in its Ph.D. Mathematics program. A few organizations likewise take confirmation through the NBHM Screening test led for Ph.D. Grants.

Ph.D. Mathematics: Syllabus

Albeit the Ph.D. Mathematics course educational plan changes from one school to another, it generally comprises of some normal establishment courses that students can choose in light of his/her advantages.

The table beneath shows normal subjects that are remembered for the organized Ph.D. Mathematics prospectus and subjects remembered for it:

1 Year

2 Year

3 Year


Differential Equation

Mathematical Finance


Differential Geometry



Discrete Mathematics

Metric Space

Computational Techniques

English Literature

Number Theory

Computer Science

Linear Programming

Probability Theory

Ph.D. Mathematics: Books

Organized beneath are a portion of the Ph.D. Mathematics subject books that can assist students with having a more extensive and better comprehension of the course. The books referenced beneath will likewise help the students in breaking different Ph.D. Mathematics tests.

Name of the Book


Calculus for Scientists and Engineers

K.D. Joshi

Foundations of Discrete Mathematics

K.D. Joshi

Introduction to Measure and Integration

Inder K Rana

Fundamental Complex Analysis of One variable

Anant R Shastri

Ordinary Differential Equations

Mohan C Joshi

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.

College Name


Average Annual Fees

Indian Institute of Science


INR 75,600

Banaras Hindu University


INR 22,268

Aligarh Muslim University


INR 27,855

Ramakrishna Mission Vivekananda College


INR 21,000

Queen Mary’s College


INR 5,805

Sri Ramakrishna College of Arts and Science


INR 60,000

Amity University


INR 3 Lakhs

Stella Maris College, Chennai


INR 6,000

Birla Institute of Technology


INR 1.75 Lakhs

Kuvempu University


INR 1.62 Lakhs

College Comparison

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


Banaras Hindu University

Ramakrishna Mission Vivekananda College

Aligarh Muslim University


Banaras Hindu University, a public university from Varanasi is one of the oldest universities in the country. It is one of the best colleges to pursue a Ph.D. program

RKMVCC College started functioning in 1963 with a view of remembering the first birth centenary of Swami Vivekananda. It offers UG, PG & PH.D. research programs in the field of science.

Established in 1875, the Aligarh Muslim University has students from around the world. Its Ph.D. program is highly ranked.

Average Fees

INR 22,268

INR 21,000

INR 27,855

Average Placement Offered

INR 4 Lakhs

INR 5 Lakhs

INR 4.5 Lakhs

Courses Offered

Ph.D., B.Tech, MBBS, BBA, MBA, M.Tech, PG Program, MA, and BA (Hons)

B.Com, BBA, BCA, BSc, BA, M.Phil, MSc, Ph.D., and MSW.

Ph.D., B.Tech, MBBS, BBA, MBA, M.Tech, PG Program, MA, and BA (Hons)

Top Companies Visited

Infosys, Coal India, ICICI Bank, IDBI Bank, Pantaloon, Visa Steel, FINO, Ansal API, etc.

Tata Consultancy Services, ACC Limited, etc.

IBM, TCS, ICICI Bank, ONGC, L&T, Kotak Securities, Genpact, etc.

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:

ParametersPh.D. MathematicsPh.D. Economics
Full-FormDoctor of Philosophy in MathematicsDoctor of Philosophy in Economics
Duration3 years3 years
EligibilityM.Sc. Degree in Mathematical or Physical Sciences/ B. Tech Candidates from any discipline with a minimum of 55%Post-graduation in Economics
Exam TypeSemester-basedSemester-based
Job ProfilesMathematician, Statistician, Loan Officer, Accountant, Economist, Researcher, Personal Banker, Cryptographer, Demographer, Professor, etc.Accounting, Auditor, Banking and Finance, Insurance Investment, Marketing, Stock Broker, Media Analyst, Management, Manufacturing, Advertising, Communication, etc.
Average FeesINR 20,000-3 LakhsINR 80,000 -6 Lakhs
Average SalaryINR 3 – 9 Lakhs per annumINR 2 – 8 Lakhs per annum

The qualification and confirmation rules for both these degrees are something very similar. With regards to Profession and Pay, both Ph.D. Mathematics and Ph.D. Financial matters nearly have a similar vocation prospects and open positions, and people can procure a typical compensation of around INR 2-9 Lakhs for each annum or more at times relying on candidate’s abilities, information, and experience.

Ph.D. Mathematics: Job Prospects and Career Options

In India, Ph.D. Mathematics is one of the top profession decisions made by students. There are loads of open positions accessible in India as well as in outside nations for Numerical alumni.

• Ph.D. graduates might work in many numerical regions like Mathematical Examination, Computational Complex Examination Gathering, Biomathematics Gathering, Intricacy and Organizations, Dynamical Frameworks, Liquid Elements, Numerical Physical science, and so forth.

• Graduates who can deal with clients and fundamental information about the business may likewise work in both private and government banks.

• They can likewise look for work in different areas, for example, in business sectors research, public bookkeeping firms, government and confidential banks, government and confidential monetary areas, spending plan arranging, consultancies, and partnerships.

• Top organizations that deal occupations for these experts are Aquis, Airtel, ITC Infotech, IBM Worldwide Administrations, ABC Advisors, NEXT Techno Undertakings, Brainfuse, and so on.

The table beneath shows probably the most well-known Ph.D. Mathematics work profiles and profession possibilities subsequent to finishing the tasks is as per the following:

Job profile

Job Description

Average Annual Salary


Cashiers are responsible for selecting the right product, and also consider becoming a retail sales worker. They may also set up store displays and perform cashier duties. The training is generally offered by the employer.

INR 3 Lakhs

Insurance Manager

Insurance Managers are responsible for researching which helps them forecast how likely it is for certain risk events to occur and how these events will impact their company with a potential loss.

INR 6 Lakhs

Finance Manager

Finance Managers are responsible for monitoring accounts, reviewing financial reports, maintaining reports, and preparing activity reports and financial forecasts. They also examine the ways to raise profitability and analyze markets for business opportunities.

INR 8 Lakhs


These professionals are responsible for performing administrative duties such as the production of forms, and maintaining schedules. They prepare financial statements and tax returns, and accounting firms represent clients on matters pertaining to their financial affairs.

INR 3.5 Lakhs

Loan Counselor

Loan counselors are responsible for working with a financial institution, they process a client’s application materials, verify the information, and work with the client to come up with a financial plan.

INR 4 Lakhs

Professor/ Asst. Professor

They are much needed to provide basic education to the students who are interested to study art at doctoral level programs.

INR 5 Lakhs

Ph.D. Mathematics: Future Scope

Students having a Ph.D. mathematics degree are significantly serving the education business and because of the laws of UGC one place of Head of Division is constantly gotten for Ph.D. holders as it were.

• Work of mathematicians in India is supposed to develop by 23% as the flooding interest for information and aptitude in confidential area examination firms.

• The confidential area offers better compensation and open doors. The bundle can likewise increment assuming they add progressed registering abilities and factual apparatuses in their profile.

PhD in Mathematics Admissions 2023: FAQs

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

The top organizations and schools for Ph.D. Mathematics are Banaras Hindu University, Aligarh Muslim University, Harmony University Noida, Birla Organization of Innovation Ranchi, Sovereign Mary's School, among others.

What are the subjects in Ph.D. Mathematics?

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

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

Students of Ph.D. Mathematics can function as Mathematician, Advance Official, Bookkeeper, Financial analyst, Researcher, Individual Financier, Demographer, Teacher, and so forth.

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

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

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

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

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

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

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

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

Thank You :)

We will Get Back to you Very Soon !