Doctor of Philosophy in Mathematics or PhD Mathematics is a 3-6 years doctorate course for candidates who want to pursue research in various domains of Mathematics.
In PhD Mathematics some research domains are Algebra, Geometry, Partial Differential Equations, Mathematical Biology, Mathematical Finance, Numerical Analysis and Scientific Computing, Topology and Differential Geometry etc.
The basic eligibility for PhD in Mathematics is Masters in Mathematics with minimum of 60% marks from a recognized university. As per latest UGC guidelines now a student can join PhD after four years Bachelor’s degree with minimum of 75% marks in aggregate or its equivalent grade.
Admission to PhD in Mathematics is either based on entrance or performance in various entrance exams namely CSIR NET, NBHM and GATE etc.
There are verities of job profiles available after completing PhD Mathematics such as Scientist, Professor or Lecturer, Researcher, finance companies etc. The average salary offered to candidates holding PhD Mathematics ranges between INR 3-20 Lakhs per annum in various sectors.
PhD Mathematics: Course Highlights
| Course Level | Doctorate |
| PhD Mathematics Full Form | Doctorate of Philosophy in Mathematics |
| Course Duration | 3-6 years |
| Course Examination Type | Semester System |
| Course Eligibility | Post Graduation in Mathematics or related fields |
| Course Admission process | Entrance Based & Merit Based |
| Course Fee | INR 20,000 to INR 3,00,000 per annum |
| Average Placement Salary | INR 3-20 Lakhs per annum |
| Top Recruiters | Banks, Investment Firms, Commerce Industry, Business Industry, Colleges, Universities, Research and Development Firms etc. |
| Job Position | Professor, Mathematician, Statistician, Loan Officer, Accountant, Economist, Researcher, Personal Banker etc. |
About PhD Mathematics
PhD in Mathematics is a doctoral degree in Mathematics related domains that spans over a period of 3-6 years. It is a detailed academic study and research on the chosen topic.
Some topics for PhD in Mathematics are –
- Algebraic geometry
- Commutative Algebra
- Complex Analysis & Operator Theory
- Computational Acoustics and Electromagnetics
- Computational Fluid Dynamics
- Differential Equations
- Functional Analysis & Operator Theory
- Harmonic Analysis
- Homological Algebra
- Image Processing
- Mathematical Biology
- Number Theory & Arithmetic Geometry
- Numerical Analysis and Scientific Computing
- Operator Algebra
- Representation Theory
- Set Theory and Logic
- Several Complex Variables
- Topology and Geometry
- Tribology
- Statistics
PhD Mathematics Top Institutes
Some of the top institutes in India providing PhD in Mathematics are:
| IISc Bangalore |
| TIFR |
| CSIR Labs |
| IITs |
| NITs |
| IISERs |
| Central Universities (JNU, UoH, DU etc.) |
| State Universities |
PhD Mathematics: Distance Education
PhD Mathematics distance education is not valid as per the UGC Guidelines. You can go for part time PhD if you are employed. There are many institutes including the top ones which offer part time PhD programs.
PhD Mathematics Syllabus
Student admitted into PhD in Mathematics course has to do coursework before starting their research works.
Some Common Papers in PhD Mathematics Coursework
- Research Methodology
- Research and Technical Communication
- Review of Literature in the Area of Research
- Departmental Elective (Depends on institutes)
- Research field related Subjects (As per your field of research)
After Coursework candidates has to do research work on their area of interest.
PhD Mathematics Admission Process
Most of the universities conduct their own PhD entrance exam or they shortlist candidates based on performance in entrance examinations namely CSIR NET, NBHM, GATE etc.
Shortlisted candidates have to appear for interview for PhD Mathematics selection.
Steps for Merit-Based Admission or Entrance Exempted Category:
- Colleges publish notice of admission on their website.
- Candidates satisfying the minimum eligibility criteria must visit the respective college website and fill the application form online.
- Colleges declare and publish merit lists based on cut-off marks in various National Exams like CSIR NET, NBHM, and GATE etc. on their website.
- Shortlisted candidates would have a personal round of interviews based on subject specialization.
- Candidates who clear the interview must visit the respective college and complete the necessary formalities for final admission.
Steps for Entrance Based Admission:
- The university/college publish dates of entrance examination, application form submission dates, dates of admit card download on their respective websites.
- Candidates satisfying minimum eligibility criteria must fill up the online application form of the entrance exam by sharing essential information followed by paying the requisite application fee.
- The exam conducting body publishes the list of successful candidates with their respective marks on the website.
- Successful candidates are called for interview for further selection process.
- After that they publish list for final admission.
Eligibility
Every institute/university may have different eligibility criteria, some common are
- Candidates who have completed their post-graduation in Mathematics or relevant subjects from a recognized university.
- Candidates with M.Phil. in Mathematics or related subjects are eligible to apply.
- Candidates must hold a minimum of 60% aggregate marks in the qualifying examination.
Every institute/university releases their eligibility criteria when the admission notification is released.
PhD Mathematics Entrance Exams
Some of the important PhD in Mathematics Entrance Exams are –
PhD Mathematics Admission Notifications
Latest PhD Mathematics Admission Notifications
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Career Options after PhD Mathematics
After PhD in Mathematics candidate can work as Scientist, Professor or Lecturer, Researcher, in finance companies.
You can consider the following profiles after pursuing a PhD in Mathematics:
- Scientist
- Professor
- Cashier
- Insurance Manager
- Finance Manager
- Accountant
- Scientific Data Entry Specialist
- Research & Development Manager