RU Ph.D. Mathematics FAQs
Ques. What are the main research areas in the Mathematics Ph.D. program?
Ans. The Mathematics department offers research opportunities in multiple thrust areas including real analysis, functional analysis, complex analysis, applied probability, and reliability theory. Faculty members are actively engaged in research on fixed point theorems in metric and Banach spaces, Nevanlinna value distribution theory, Hilbert spaces, graph theory, and ecological modeling. The department has produced 5 Ph.D. graduates with strong research contributions in these areas.
Ques. What is the difference between the written entrance test and viva-voce interview?
Ans. The written entrance test assesses fundamental knowledge in research methodology (50%) and subject-specific topics in mathematics (50%) for candidates who have not qualified national exams like UGC-NET or GATE. The viva-voce interview is conducted for all qualified candidates to evaluate their research aptitude, communication skills, and the feasibility of their proposed research work. Candidates must score minimum 50% in the written test to proceed to the interview stage.
Ques. Are candidates with UGC-NET or CSIR-NET qualification exempted from the written entrance test?
Ans. Yes, candidates who have qualified UGC-NET (including JRF), CSIR-NET (including JRF), SLET, SET, GATE, or hold fellowship positions are completely exempted from the written entrance test. However, they are still required to appear for the viva-voce interview conducted by the university to assess their research proposal and suitability for the program.
Ques. What specializations are available in the M.Sc. program that can help prepare for Ph.D.?
Ans. The M.Sc. Mathematics program offers specializations in Advanced Real Analysis, Advanced Complex Analysis, Advanced Topology, and Advanced Functional Analysis. These specializations provide strong foundational knowledge that is directly applicable to Ph.D. research in the department. Students completing these specializations are well-prepared for advanced research in the thrust areas of the Ph.D. program.
Ques. What is the duration of the Ph.D. program and when can I submit my thesis?
Ans. The Ph.D. program has a minimum duration of 3 years and a maximum of 6 years. After completing the mandatory coursework with required scores, students proceed to research work under an allocated supervisor. Thesis submission can typically occur after 2-3 years of research, subject to departmental Ph.D. Committee approval and completion of all required milestones including pre-submission seminar.
Ques. What facilities and infrastructure are available for Ph.D. research in Mathematics?
Ans. The department provides a departmental library with mathematics journals and books, a computer lab with internet facilities, and access to university library resources. Additionally, faculty rooms serve as research spaces for conducting independent research projects. The department also has access to computing facilities for computational mathematics and numerical analysis research. Students can utilize these resources for literature review, computational work, and collaborative research activities.





 (97).jpeg?h=78&w=78&mode=stretch)















 (97).jpeg?h=72&w=72&mode=stretch)






















Comments