PhD in Mathematics (Doctor of Philosophy in Mathematics )
PhD in Mathematics About
PhD in Mathematics is a Doctorate of Mathematics course. It is the study of structure, space, quantity, and change. It seeks out patterns and formulates new conjectures. On the completion of a doctorate, scholars should submit their ‘thesis’ and, then they deserve the respective degree they are pursuing. The duration of the program is a minimum of 3 years and a maximum of 5-6 years. The minimum qualifications and other eligibility criteria for admission are M.Sc. Degree in Mathematical or Physical Sciences/ B. Tech Candidates from any discipline can also apply/ Some Institutes also offer direct admission for Graduate students with excellent academic performance. Ph.D. Mathematics is a broad-based course involving a minimum course credit requirement and a research thesis.
PhD in Mathematics Highlights
| Course Level | Doctorate Course |
| Full-Form | Doctor of Philosophy in Mathematics |
| Duration | 3 years |
| Examination Type | Semester-based |
| Eligibility | M.Sc. Degree in Mathematical or Physical Sciences/ B. Tech Candidates from any discipline with a minimum of 55% score |
| Admission process | Merit-based / Entrance Examination |
| Top Recruiting Companies | Banks, Investment Firms, Commerce Industry, Business Industry, Colleges, Universities, Research and Development Firms, Indian Civil Services, Inventory Management, Insurance Agencies, Statistics (e.g. Ernst & Young, Tiger Analytics, TCS Innovation Lab, Weizmann Institute, etc.) |
| Job Positions | Mathematician, Statistician, Loan Officer, Accountant, Economist, Researcher, Personal Banker, Cryptographer, Demographer, Professor, etc. |
PhD in Mathematics Entrance Exam
Most universities and colleges offering MPhil and PhD programs in Mathematics require students to take an entrance exam. The exam usually covers topics such as calculus, linear algebra, abstract algebra, analysis, topology, and differential equations. The purpose of the exam is to assess the student's aptitude and preparedness for graduate-level studies in mathematics.
| CSIR-UGC NET for JRF |
| UGC NET Entrance Exam |
| NBHM Entrance Exam |
PhD in Mathematics Admission Process
Admission to MPhil or PhD programs in Mathematics is highly competitive, and students need to meet certain eligibility criteria to be considered for admission. Some of the general requirements include
| A bachelor's or master's degree in Mathematics or a related field |
| A high GPA (usually above 3.0 on a 4.0 scale) |
| Strong letters of recommendation from professors or employers |
| A statement of purpose outlining the student's research interests and career goals |
| Good performance on the entrance exam |
PhD in Mathematics Duration
The duration of an MPhil program in Mathematics typically ranges from one to two years, while a PhD program usually takes three to five years to complete. The duration can vary depending on the research topic, the student's progress, and the program requirements.
PhD in Mathematics Selection Criteria
The selection criteria for MPhil and PhD programs in Mathematics vary depending on the institution, but some common factors include the student's academic record, research experience, entrance exam performance, letters of recommendation, statement of purpose, and fit with the research interests of the faculty members in the program.
PhD in Mathematics How to Apply
To apply for an MPhil or PhD program in Mathematics, students typically need to follow these steps:
| step 1 | Research the programs and universities that interest you and their admission requirements. |
| step 2 | Prepare your application materials, including transcripts, letters of recommendation, statement of purpose, and entrance exam scores. |
| step 3 | Submit your application online or through the university's admission office. |
| step 4 | If you are shortlisted, you may be invited for an interview or asked to submit additional materials. |
| step 5 | If you are accepted, you will receive an offer letter outlining the program's requirements and financial support options. |
| step 6 | application process for MPhil and PhD programs in Mathematics can be challenging, but with proper preparation and dedication, students can pursue an exciting and rewarding career in mathematics research and academia. |
PhD in Mathematics Application Process
| The application form and process for MPhil and PhD programs in Mathematics can vary depending on the institution. |
| However, most universities offer an online application process where students can submit their application materials electronically. |
| Students typically need to provide their transcripts, letters of recommendation, statement of purpose, and entrance exam scores. |
| They may also need to pay an application fee. |
PhD in Mathematics Fee Structure
The application fee for M.Phil and PhD programs in Mathematics varies depending on the institution. The fee can range from $50 to $100 for domestic students, and up to $150 for international students.
PhD in Mathematics Syllabus
1 Year
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2 Year
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3 Year
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PhD in Mathematics Salary and Jobs
Graduates with MPhil and PhD degrees in Mathematics are highly sought after in a variety of fields, including academia, finance, technology, and government. The average salary for a mathematician with a PhD degree is around $104,000 per year, according to the US Bureau of Labor Statistics. Some common job titles for graduates with these degrees include research mathematician, data analyst, software engineer, and professor.
PhD in Mathematics Career Opportunities
Graduates with MPhil and PhD degrees in Mathematics have a wide range of career opportunities available to them, including:
| Academic careers: | Graduates can pursue academic careers in universities and research institutions, conducting research and teaching courses in mathematics. |
| Industry careers: | Graduates can work in a variety of industries, including finance, technology, and government, using their mathematical expertise to solve complex problems and make data-driven decisions. |
| Entrepreneurship: | Graduates can start their own businesses, using their mathematical expertise to create innovative products and services. |
PhD in Mathematics Top Colleges
Some of the top colleges offering MPhil and PhD programs in Mathematics include:
- Massachusetts Institute of Technology (MIT)
- California Institute of Technology (Caltech)
- Harvard University
- Stanford University
- University of California, Berkeley
- Princeton University
- University of Cambridge (UK)
- University of Oxford (UK)
- ETH Zurich (Switzerland)
- University of Tokyo (Japan)
These colleges offer world-class faculty, cutting-edge research facilities, and a rigorous curriculum, providing students with the opportunity to pursue their academic and research goals in mathematics.
PhD in Mathematics Admission Procedure
- Application for the entrance exam
- Result declaration
- Entrance pass scholar calling for the interview and document verification
- Provisional registration for pre Ph.D. course work classes
- Coursework classes shall be attended as scheduled by University
- Course work examination
- Result declaration of coursework
- Submission of synopsis ( 2 spiral bound copies with soft copy of synopsis)
- Departmental research committee meeting scheduled by University
- A registration letter shall be issued
- Research work started by scholar
- 6 progress reports shall be submitted
- Soft copy thesis submit
- plagiarism report check by the university
- Final after the plagiarism report soft copy thesis shall be sent to experts for evaluation
- After the consent of experts pre-submission, one set spiral binding shall be submitted
- After the successful presentation of the pre-submission thesis 3 copies of hard bound thesis shall be submitted
- Viva shall be conducted as scheduled by University, Degree Awarded.
PhD in Mathematics Documents Checklist
- Documents (10th onwards)
- Aadhar Card/Pan Card, Caste Certificate
- Migration Certificate (Original)
- NOC (From Organization/ Institute/ University)
- Affidavit (undertaking)
- Guide Willing
- Assignments
- Synopsis (3 copies), Progress Report
- Library No Dues
- Lab Letter
- Thesis Hard copy (Spiral binding)
- No Dues, Thesis (6 hard copies)
- Affidavit -Submission (on Rs 100 Stamp and Notary Attested)
- C.D Soft copies (Thesis & Synopsis)
- Conference Certificate - 2
- Research Papers -2 (with ISSN No.)
- summary (page limit 20-30) -3 Copies
- Plagiarism Report Below 10%
FAQs About PhD in Mathematics
Q.1 - What is the procedure for PhD Admission to the University?
ANSWER: - The Ph.D. and M.Phil. programs of prestigious Universities are conducted and guided strictly as per the provisions and regulations dictated by the UGC (Minimum Standards and Procedure for Award of Ph.D./M.Phil. Degrees) (1st Amendment) Regulations, 2018 and subsequent amendments. The entire procedure for admission to the research programs encompasses a Research Entrance Exam (RET) and then an Interview/Viva Voce. The performance of a candidate in the RET is given 70% weightage, and the remaining 30% weightage is given to his/her performance at the Interview.
Q.2 - What are the modes of pursuing M.Phil. & Ph.D. programs at the University?
ANSWER: -Both the full-time and part-time modes are available at University for pursuing its Ph.D. programs and only the full-time mode is available for M.Phil. program in the desired subjects/fields. These highly-qualitative and prolific research programs are available in a rather broad range of fields/subjects. At University, the minimum time duration of the M.Phil. and Ph.D. programs is 1.5 Years and 3 Years, respectively, in general.
Q.3 - Are the Ph.D. and M.Phil. Degrees granted by any University valid abroad?
ANSWER: -Yes, of course. If the University is properly recognized under section 2(f) of the UGC Act of 1956 and is a prestigious member of the AIU (the Association of Indian Universities). It is an M.Phil. and Ph.D. degrees granted in various fields/subjects are duly valid across India and the world.
Q.4 - What are the main eligibility criteria for participating in the University Research Entrance Exam (RET)?
ANSWER: -The following are the main eligibility conditions for participating in the RET: - A rigorous Master’s Degree in the proposed subject/field obtained from any recognized university/institution located in India or abroad, with a minimum 55% marks in aggregate or an equivalent grade. Candidates belonging to SC/ST/OBC/Differently-abled categories are given a 5% relaxation in respect of this eligibility criterion. Candidates with an M.Phil. degree in the proposed field/subject, or have qualified for the UGC (JRF) Examinations/ NET/ SET/ SELT, etc., will be allowed to appear directly for the interview, without appearing in the RET. Impressive academic records, and any prior experience in research work, will be given additional advantages.
Q.5 - What relaxations are granted to the reserved categories for Ph.D.? Admission to the University?
ANSWER: - Candidates belonging to the categories of SC/ST/OBC (Non-Creamy layer)/Differently-Abled, and so on, are given all relaxations prescribed by the Govt. of India and the UGC. These relaxations are provided in form of 5% reduced marks for them at post-graduation, and also in the minimum qualifying marks at RET. Thus, candidates belonging to these categories only need to score a minimum of 45% marks at RET, to qualify for the final interview.
Q.6 - How will be the pattern of RET?
ANSWER: - The syllabus or pattern of RET consists of subject-specific matters, research methodology, and aptitude (covering logical reasoning, numerical ability, analytical reasoning, statistics, etc.).Thus, RET will contain a total of 70 multiple-choice questions (MCQs).
Q.7 - Are M.Phil. Holders/UGC- NET (including JRF)/ UGC-CSIR NET (including JRF)/ SLET/ GATE exempted from appearing at RET?
ANSWER: - Yes. The holders of M.Phil. degrees in their respective fields/subjects are made exempt from appearing in RET. The same is the situation in cases of aspiring candidates who have qualified exams like UGC-NET (including JRF)/ UGC-CSIR NET (including JRF)/ SLET/ GATE, etc.
Q.8 - How is the application fee paid?
ANSWER: - The Application Fee (i.e. the fee for getting participated in RET) can be paid online or offline, like the Application Form. Payment Modes: DD (in Favor of the University) / NEFT/ Cash Deposit.
Q.9 - Do working candidates require to obtain NOC from employers for pursuing research at any University?
ANSWER: - Yes, necessarily. Working Professionals who are interested in research at any University are required to obtain the NOC (No Objection Certificate) from their respective employers, in order to avert any intrusion ever during the entire doctoral course.
Q.10 - Does an M.Phil. holder require to undergo Ph.D. coursework?
ANSWER: - Yes. M.Phil. holders are again required to undergo the coursework in Ph.D. at some Universities. However, their prior knowledge in the field/subject will be very supportive to them for learning and performing efficiently during the Ph.D. program.
Q.11 - Can I pay the yearly program/course fee in installments?
ANSWER: - Yes, you can pay the yearly course fee as many as in two installments, but well within the yearly session.
Q.12 - Does Any University provide any scholarship or stipend to pursuing scholars?
ANSWER: - Yes, of course. Many Universities offer scholarships as well as stipends to meritorious and talented candidates who undertake research studies at the University. Scholarships are granted to those candidates who come under the top 21 by scoring higher marks in RET and interviews. And, stipends are provided to those scholars who also give lectures to UG or PG students at the University, in addition to doing their Ph.D. coursework. The amount of the monthly stipend will be commensurate with the candidate’s qualifications and capabilities and may go up to Rs. 20,000.
Q.13 - What other many facilities are provided to research scholars at the University Campus?
ANSWER: - All necessary and constructive resources, amenities, and facilities are offered by well-established and prestigious universities to research scholars in various streams/subjects. These facilities include the following - spacious and peaceful study rooms, erudite and well-experienced academicians and research experts, Wi-Fi and diverse IT devices, state-of-the-art laboratories, well-stocked libraries, lavish R&D amenities, separate amenities for lodging and foods for male and female candidates, peaceful and constructive environment within the university campus, and many other comforting and convenient facilities and services.
DOCTOR OF PHILOSOPHY IN MATHEMATICS (PHD IN MATHEMATICS )
Doctor of Philosophy in Mathematics (PhD in Mathematics ) is a 3 Years Doctorate Degree Courses program that focuses on Doctor of Philosophy. The course combines theoretical knowledge with practical skills to prepare students for a career in Doctor of Philosophy.
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