PhD in Mathematics and Statistics (Doctor of Philosophy in Mathematics and Statistics )

PhD in Applied Mathematics About

The PhD Mathematics and Statistics program is basically intended for students who tend to possess outstanding computational and mathematical modelling ability. The 3 - 5-year full-time doctorate course develops important competencies in Mathematics. It involves research that uses various mathematical methods which are related to graph theory, stability theory, partial differential equations etc. This program is an advanced degree specialised for the aspirants who wish to pursue a career which involves Mathematics and Statistics research. The programme provides an in-depth knowledge of mathematical understanding depending on the area of expertise. In order to be eligible for the course, the aspirants must hold a master's degree or an equivalent degree from a recognised college or university. However, the admission process varies in different colleges. Admission to this course will be done either on the basis of the candidate's performance in the entrance exam or on the basis of their performance in the qualifying examination. PhD Mathematics and Statistics degree holders are hired in a wide range of fields as a Mathematician, Statistician, Loan Officer, Accountant, Economist, Demographer, Researcher, Personal Banker, Cryptographer, Demographer etc. They are recruited in firms such as Banks, Investment Firms, Commerce Industry, Business Industry, Colleges, Universities, Research and Development Firms, Indian Civil Services, Inventory Management, Insurance Agencies, Statistics etc.  The average annual tuition fee charged for this course in India ranges between INR 10,000 and INR 3,00,000. In India, the average annual salary that a PhD Mathematics and Statistics degree holder can get ranges between INR 4,00,000 and INR 12,00,000. 

PhD in Mathematics and Statistics Highlights

PhD in Mathematics and Statistics Entrance Exam

• CSIR UGC NET
• UGC NET
• IIT JAM
• GPAT
• VITMEE

PhD in Mathematics and Statistics Admission Process

Merit-Based Admission

Most private colleges that offer PhD Applied Mathematics courses usually admit students based on the marks secured at the master’s/ graduate degree. Besides that, these colleges may conduct a Personal Interview or a Written Test to further know the candidate’s skills.

Entrance-Based Admission

Most of the colleges and universities offer admission to PhD Applied Mathematics on the basis of entrance exams like CSIR NET, UGC NET etc.

The Step-by-step procedure for entrance-based admission is as follows.

Step 1: Students have to register on the official website. 

Step 2: Fill the application form with correct details.

Step 3: After examination, a cutoff list will be released on the website. Seats will then be allotted to candidates based on their scores in the entrance exam. 

Step 4: Some colleges also conduct personal interviews and group discussion for admission to this course. 

Step 5: On meeting all the eligibility criteria, a student will then be offered admission to the course.  

PhD in Mathematics and Statistics Eligibility Criteria

Being eligible for the course is a prerequisite for admission to the desired college. The basic eligibility criteria for admissions to PhD Applied Mathematics courses have been listed below:

• Candidates must possess a masters degree in applied mathematics or any other equivalent degree from a recognised college or university. 
• The candidates should have obtained a certain minimum percentage of marks in their graduation.
• The candidates are required to clear the cut-off marks set up for the entrance exams. Please note that the cutoffs tend to vary each year depending upon several factors.
• The candidates must also perform well in the personal interview session which is organised to test the knowledge of the aspiring candidates about the course.

PhD in Mathematics and Statistics Duration

PhD in Mathematics and Statistics Selection Criteria

The selection criteria for a PhD in Applied Mathematics and Statistics program may vary depending on the university.

However, some common criteria include academic achievements (such as GPA, entrance exam scores, and research experience), letters of recommendation, statement of purpose, and academic transcripts.

PhD in Mathematics and Statistics How to Apply

The application process for a PhD in Applied Mathematics and Statistics program usually involves the following steps:

1. Research potential universities and programs that fit your interests and career goals.
2. Review the admission requirements for each program, including entrance exams, academic qualifications, and application deadlines.
3. Submit an online application to the university, along with all required materials such as transcripts, test scores, letters of recommendation, and a statement of purpose.
4. Wait for the admission decision from the university. If accepted, follow the instructions provided by the university to confirm your acceptance and enroll in the program.

PhD in Mathematics and Statistics Application Process

The application form and process for a PhD in Applied Mathematics and Statistics program varies depending on the university.

Generally, applicants need to fill out an online application form and submit required documents such as transcripts, test scores, letters of recommendation, and a statement of purpose.

Some universities may require an application fee, which can range from Notified Soon.

PhD in Mathematics and Statistics Fee Structure

Syllabus of PhD in Mathematics and Statistics

The syllabus for a PhD in Applied Mathematics and Statistics program varies depending on the university and the student's research area. However, some common topics covered in the program include probability theory, statistical inference, numerical analysis, optimization, stochastic processes, and mathematical modeling. The program typically also includes coursework in research methodology and statistical software.

PhD in Mathematics and Statistics Job Scope

PhD in Mathematics and Statistics Career Opportunities

Academia: Many PhD graduates choose to pursue careers in academia, becoming professors or researchers at universities or research institutions. They conduct advanced research in areas like mathematical modeling, numerical analysis, and computational mathematics while also teaching courses and mentoring students.

Industry Research: Applied mathematicians are in demand in industries such as engineering, finance, healthcare, and technology. They work as research scientists or engineers, applying mathematical principles to solve real-world problems, optimize processes, and develop innovative products or technologies.

Data Science and Analytics: With the explosion of data in various industries, there's a growing demand for data scientists and analysts who can extract insights, build predictive models, and make data-driven decisions. PhD holders in Applied Mathematics are well-equipped for roles in data science, machine learning, and statistical analysis.

Quantitative Finance: The finance sector relies heavily on mathematical modeling and quantitative analysis for risk management, pricing derivatives, and developing trading strategies. Applied mathematicians often work as quantitative analysts, financial engineers, or risk managers in banks, hedge funds, and financial institutions.

Consulting: Applied mathematicians may work as consultants, providing expertise in mathematical modeling, optimization, and data analysis to help businesses solve complex problems, improve operations, and make informed decisions. They may work for consulting firms or as independent consultants.

Government and Public Policy: Government agencies and research institutions hire applied mathematicians to work on projects related to public policy, healthcare, defense, and environmental sustainability. They may analyze data, develop models, and provide insights to inform policy-making and decision-making processes.

Software Development: PhD graduates with strong programming skills often pursue careers in software development or engineering, particularly in fields like scientific computing, computational physics, and computer graphics. They may develop software tools, algorithms, or simulations for various applications.

Entrepreneurship: Some PhD holders in Applied Mathematics choose to start their own businesses or join startups, leveraging their mathematical expertise to develop innovative products, services, or solutions. They may work in areas such as artificial intelligence, data analytics, optimization, or mathematical modeling.

PhD in Mathematics and Statistics Top Colleges

Admission Process for PhD in Mathematics and Statistics

1. Application for the entrance exam 
2.  Result declaration
3. Entrance pass scholar calling for the interview and document verification
4. Provisional registration for pre Ph.D. course work classes
5. Coursework classes shall be attended as scheduled by University
6. Course work examination
7. Result declaration of coursework
8. Submission of synopsis ( 2 spiral bound copies with soft copy of synopsis)
9. Departmental research committee meeting scheduled by University
10. A registration letter shall be issued
11. Research work started by scholar
12. 6 progress reports shall be submitted
13. Soft copy thesis submit
14. plagiarism report check by the university
15. Final after the plagiarism report soft copy thesis shall be sent to experts for evaluation
16. After the consent of experts pre-submission, one set spiral binding shall be submitted
17. After the successful presentation of the pre-submission thesis 3 copies of hard bound thesis shall be  submitted
18. Viva shall be conducted as scheduled by University, Degree Awarded.

Document Required For PhD in Mathematics and Statistics

• 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 and Statistics 

Q.1 - What is the procedure for Ph.D. 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.