PhD in MAthematics (Doctor of Philosophy in MAthematics)

PhD in Mathematics Course About

The PhD in Mathematics is with a minimum duration of three years and a maximum duration  of six years, which involves the study of various mathematical topics such as space, structure, change and size. A math degree program is completed when the student submits the "thesis" and receives approval from the teacher.

A Ph.D. in Mathematics is an advanced degree that involves extensive research and study in various fields of mathematics. The program is designed for individuals who have a strong background in mathematics and who wish to pursue an academic or research career in the field.

The requirements for a Ph.D. in Mathematics typically include coursework in advanced topics such as topology, algebraic geometry, analysis, and number theory, as well as a significant amount of research under the guidance of a faculty advisor. Students must also complete a dissertation, which is a substantial research project that makes an original contribution to the field.

Course Highlights For PhD in Mathematics

PhD in Mathematics Highlights

Advanced coursework: Ph.D. programs in mathematics offer advanced coursework in various areas of mathematics. This coursework is designed to provide students with a deep understanding of mathematical concepts and theories, and to prepare them for research.

Research opportunities: Ph.D. programs in mathematics typically require students to conduct original research and write a dissertation. This research can be in areas such as algebra, geometry, analysis, and topology, among others.

Faculty guidance: Ph.D. students in mathematics work closely with faculty advisors who provide guidance and support throughout their studies. Faculty members are experts in their fields and can help students develop research skills, identify research questions, and provide feedback on their work.

Career opportunities: Graduates with a Ph.D. in Mathematics have many career opportunities in academia, research, and industry. They can become professors, researchers, and consultants, and work in fields such as finance, data analysis, and cryptography.

Intellectual stimulation: Pursuing a Ph.D. in Mathematics can be intellectually stimulating and challenging. It requires critical thinking, problem-solving skills, and a deep understanding of mathematical concepts and theories. It is a rewarding experience for those who are passionate about mathematics and wish to contribute to the field.

PhD in Mathematics Popular Entrance Exam

Most Ph.D. programs in Mathematics require applicants to take an entrance exam as part of the admissions process. The exam may cover topics such as algebra, geometry, analysis, and topology. Some programs also require the GRE (Graduate Record Examination) General Test.

• CSIR-UGC NET 
• UGC NET
• NBHM
  

PhD in Mathematics Admission

To be admitted into a Ph.D. program in Mathematics, applicants typically need to have a strong academic background in mathematics or a related field, as well as letters of recommendation and a statement of purpose outlining their research interests and goals.

PhD in Mathematics Eligibility Criteria

Eligibility requirements vary depending on the university and program. However, most programs require applicants to have a master's degree in mathematics or a related field, or a bachelor's degree with a strong background in mathematics.

Applicants must have a master's degree in mathematics, physical science, or a related field. Some popular master's degree programs include an MS in Statistics, an MS in Mathematics, an MS in Chemistry, an MS in Economics, or an MS in Engineering.

Candidates must obtain at least 60% aggregate marks in 12 courses, Graduation and Post Graduation.

Candidates must appear for  UGC NET and other relevant entrance exams and obtain the appropriate cut-off marks.

PhD in Mathematics Course Duration

The duration of a Ph.D. program in Mathematics typically ranges from 3-5 years. However, the exact duration may vary depending on the program and the student's research progress.

PhD in Mathematics Selection Criteria

Selection criteria for Ph.D. programs in Mathematics may include academic background, performance in the entrance exam, research experience, letters of recommendation, and the statement of purpose. Some programs may also require an interview.

PhD in Mathematics How to Apply

To apply for a Ph.D. program in Mathematics, students typically need to submit an online application form, along with transcripts, letters of recommendation, a statement of purpose, and the required entrance exam scores. Some programs may also require additional materials, such as a writing sample or a research proposal. Applicants should check the specific application requirements for the program they are interested in.

PhD in Mathematics Admission Process

The application process for Ph.D. programs in Mathematics typically involves the following steps:

Merit-Based Admission

Most private universities like Lovely Professional, AMU and others offer Ph.D. The course (Mathematics) admits students on the basis of Graduate/Graduate qualifications. In addition, these colleges conduct a personal interview or a small written test to find out more about the candidates and their skills.

Entrance Exam Based:

Top PhD colleges like Chandigarh University, RKMVCC, Stella Maris College, etc. offer PhD admissions. Courses (Mathematics)  through entrance exams, usually include MCQ-related questions related to Algebra, Analysis, Discrete Mathematics, etc., and help universities screen suitable candidates for admission. 

When the results of the entrance examination are announced, the universities will then conduct a series of personal interviews with the applicants who should know their interest in the course, skills and career, and possibly check their artistic portfolio.

PhD in Mathematics Application Fee:

The application fee for Ph.D. programs in Mathematics varies depending on the program and university. It typically ranges from $50 to $100.

Syllabus of PhD in Mathematics

The syllabus for Ph.D. programs in Mathematics varies depending on the program and the student's research interests. However, courses may include topics such as algebra, geometry, analysis, topology, and number theory, among others.

Job Area For PhD in Mathematics 

Graduates with a Ph.D. in Mathematics have many career opportunities in academia, research, and industry. According to the Bureau of Labor Statistics, the median annual wage for mathematicians in May 2020 was $93,290. Some common career paths for Ph.D. graduates in Mathematics include:

• Professor of Mathematics
  
• Research Mathematician
• Data Scientist
• Financial Analyst
• Cryptographer
• Actuary

PhD in Mathematics Career Opportunities:

Ph.D. graduates in Mathematics have many career opportunities in academia, research, and industry. They can work as professors, researchers, and consultants, and work in fields such as finance, data analysis, and cryptography. They can also work in government agencies, such as the National Security Agency, and in the private sector, such as tech companies and financial institutions.

PhD in Mathematics Top Colleges:

Some of the top colleges for Ph.D. programs in Mathematics include:

• Massachusetts Institute of Technology
  
• Harvard University
• Stanford University
• University of California, Berkeley
• Princeton University
• California Institute of Technology
• University of Chicago
• University of Michigan, Ann Arbor
• New York University
• University of Texas at Austin

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.

Documents Checklist For PhD in Mathematics

• 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%

Skills Required for PhD in Mathematics

Applicants who wish to pursue a PhD in mathematics must have good research skills and an interest and ability in mathematics and its applications. Apart from these skills, there are many skills that are needed to help the candidates to reach the level of education and professional activities. Mentioned below are the skills required for a Bachelor's Degree in Mathematics.

• Problem-Solving
• Dedication
• Discipline
• Good Communication
• Good Observation skills
• Quantitative Aptitude

FAQs About PhD in Mathematics Program 

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.