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The Ph.D. in Mathematics is an advanced graduate program that entails higher level study of mathematics including research. The average time it takes to complete a Ph.D. in Mathematics stands at 4 to 6 years. The program curriculum as mentioned earlier has additional specialized courses in pure and other applied mathematics such as; real analysis, complex analysis, topology, algebra, number theory, probability theory, mathematical statistics, numerical analysis, optimization, and mathematical modeling among others.
Its award requires students to do a lot of research work and produce a thesis in order to be given the degree. Some of the particular entry tests for admissions into Ph.D mathematics courses are CSIR UGC NET for JRF, NBHM Screening Test, ISI Ph.D Entrance Exam, TIFR GS Entrance Exam, IIT JAM, GATE, JEST, JNU, HCU Entrance Exam etc. All these entrance exams set a paper that contains different multiple choice questions to test the conceptual knowledge and analytical skills of the candidates in various areas of mathematics These exams are very important and if one performs well in these exams then he or she can be able to get an admission to study this course together with doing well in the interview round. In addition, some institutes offer admission to students based on the classification performance achieved in post graduation.
| Highlights | Details |
|---|---|
| Full Form, Duration | Doctor of Philosophy in Mathematics, 3-5 years |
| Course Level, Eligibility | Doctoral, Master's degree in Mathematics or related field with minimum 55% marks, NET/JRF qualified |
| Top Colleges | Indian Institute of Technology (IIT), Indian Institute of Science (IISc), Tata Institute of Fundamental Research (TIFR), University of Delhi, University of Hyderabad |
| Entrance Exam | NET, JRF, GATE, CSIR-UGC NET, college-specific entrance exams, interview |
1. Pass a master’s degree in mathematics with an average of fifty-five percent or its equivalent from a recognized university.
2. Prepare an entrance exam like UGC NET, GATE, Individual institute entrance examination etc. Although some institutes offer direct admission with the deserved candidates eligible to be admitted.
3. The interview process is conducted with candidates, wherein they are evaluated for their research ability and knowledge of the subjects.
4. The last stage of short listing is academic performance in master’s, entrance test and the interview.
5. Conducted, seminars/conferences attended, work experience/reprints, and publications preferred.
6. No upper age limit. In government rules, there is always a chance of getting age relaxation if you belong to the reserved category.
| Subject | Important Topics |
|---|---|
| Algebra | Group theory, ring theory, field theory, Galois theory |
| Real Analysis | Measure theory, functional analysis, operator theory |
| Complex Analysis | Analytic functions, conformal mapping, Riemann surfaces |
| Geometry | Differential geometry, algebraic geometry, geometric topology |
| Number Theory | Prime numbers, modular forms, elliptic curves, Diophantine equations |
| Topology | Point-set topology, algebraic topology, differential topology |
| Applied Mathematics | Mathematical physics, mathematical biology, numerical analysis |
| Research Methodology | Research design, data collection, analysis, interpretation |
| Specialized Courses | Advanced topics in mathematics, seminars, workshops |
| Thesis | Original research work, dissertation, defense |
Tabulated below is the collection of the Top 10 Ph.D in Veterinary Science Colleges in India with Fee Structure, including their key features.
| Name of the institute | Location | Fees |
|---|---|---|
| Karnataka Veterinary Animal and Fisheries Sciences University | Bidar, Karnataka | INR 63,192 |
| Govind Ballabh Pant University of Agriculture and Technology | Pantnagar, Uttarakhand | INR 58,940 |
| Tamil Nadu Veterinary and Animal Sciences University | Chennai, Tamil Nadu | INR 33,325 |
| Chhattisgarh Kamdhenu Vishwavidyalaya | Raipur, Chhattisgarh | -- |
| Narendra Deva University of Agriculture and Technology | Faizabad, Uttar Pradesh | INR 88,000 |
| Indian Veterinary Research Institute | Bareilly, Uttar Pradesh | INR 15,900 |
| Orissa University of Agriculture and Technology | Bhubaneswar, Orissa | INR 67,187 |
| Central Agricultural University | Imphal, Manipur | INR 7,500 |
| Maharashtra Animal and Fishery Sciences University | Nagpur, Maharashtra | -- |
| Kerala Veterinary and Animal Sciences University | Wayanad, Kerala | INR 54,100 |
| Specialization | Job Profile | Average Salary (per annum) |
|---|---|---|
| Pure Mathematics | Researcher, Professor | ₹8,00,000 - ₹15,00,000 |
| Applied Mathematics | Data Scientist, Mathematician | ₹10,00,000 - ₹20,00,000 |
| Statistics | Statistician, Data Analyst | ₹9,00,000 - ₹18,00,000 |
| Mathematical Physics | Researcher, Professor | ₹12,00,000 - ₹25,00,000 |
| Mathematical Biology | Researcher, Biostatistician | ₹10,00,000 - ₹20,00,000 |
| Numerical Analysis | Software Developer, Computational Mathematician | ₹12,00,000 - ₹25,00,000 |
| Cryptography | Cryptologist, Security Analyst | ₹15,00,000 - ₹30,00,000 |
| Mathematical Finance | Quantitative Analyst, Risk Manager | ₹18,00,000 - ₹35,00,000 |
| Academia | Professor, Researcher | ₹8,00,000 - ₹20,00,000 |
| Industry | Data Scientist, Mathematician | ₹10,00,000 - ₹25,00,000 |
