Duration
Eligibility
Fees
Admission Open 2025 | PhD in Mathematics
About the PhD in Mathematics
The Ph.D. in Mathematics is a doctoral-level program that emphasizes deep research into mathematical theories, applications, or interdisciplinary studies. It is ideal for those who aspire to contribute original knowledge to the field and pursue careers in academia, research, or high-level industry roles.
Programme Overview
The objective of a PhD in Mathematics is to advance the frontiers of mathematical knowledge by developing expertise in a specialized area and producing original research. It prepares students to
- contribute significantly to academia, industry, or interdisciplinary fields.
- formulate and investigate new mathematical theories or solve open problems.
- apply mathematical techniques to real-world issues or interdisciplinary challenges.
- produce a dissertation that contributes novel findings to the field.
- M.Sc. in Mathematics or equivalent degree with 55% marks (50% for reserved categories).
- Preference will be given to candidates who have cleared UGC-NET (including JRF) or equivalent examinations.
- Minimum Duration: 3 years, including coursework.
- Maximum Duration: 6 years, with extensions provided as per UGC regulations.
The core of the PhD is independent, original research, culminating in a dissertation.
Preferred research areas are:
- Mathematical Modelling.
- Numerical analysis.
- Applied Mathematics.
- Functional analysis.
- Mathematical physics
The Ph.D. in Mathematics opens doors to numerous career opportunities:
- Academia: Positions such as professor, lecturer, or researcher.
- Industry: Roles in sectors like finance, data analytics, software development, and consulting.
- Government and Policy: Mathematical modeling and analysis for national laboratories, defense, or policy-making organizations.
- Interdisciplinary Research: Collaborations in fields like AI, biology, and physics.
The coursework is structured to align with UGC guidelines, ensuring comprehensive research training.
Coursework Components:
- Research Methodology
- Covers research techniques, quantitative and qualitative analysis, and academic writing.
- Develops critical thinking and analytical skills essential for high-quality research.
- One Core Paper Related to the Discipline of Research
- Topics include mathematical modelling, numerical analysis, applied mathematics, functional analysis, mathematical physics, astrophysics.
- These courses aim to solidify foundational knowledge and explore specialized field.
- Research and Publication Ethics (RPE)
- Provides a thorough understanding of ethical research practices and publication norms.
- Topics include plagiarism prevention, intellectual property rights, and research integrity.
- Research Training (Review Paper)
The Selection procedure is based on Entrance exam and Interview.
- The Entrance Examination is MCQ based. There are two sections. First section consists of 50 MCQ based on General Awareness, covering Logical Reasoning, Numerical Ability and Language Competence. Second section consists of 50 MCQ questions based on subject domain knowledge. Candidates with an overall score of 50% or higher in the General category and 45% or higher in the SC/ST/OBC category will be eligible for an interview.
- Admission process will be followed by Personal Interview (PI).Every eligible candidate interested in pursuing a Ph.D. in Mathematics will be required to appear in an interview conducted by the University’s Committee.
Online Mode:
- Visit umu.ac.in
- Click on Apply Online
- Register with required details
- Click on Submit
- Login & fill the application form
Offline Mode:
- Visit umu.ac.in
- Download the Application Form
- Take Print out
- Send the soft copy through email or hard copy via Courier
PhD in Mathematics Admission Process
Entrance Exam:
The entrance examination is designed to evaluate a candidate’s aptitude and subject knowledge:
- Exam Format: The question paper is divided into two sections, each worth 50 marks.
- Section 1: 50 MCQs on Logical Reasoning, Numerical Ability, and Language Proficiency (50%).
- Section 2: 50 MCQs on subject-specific knowledge in mechanical engineering (50%).
Eligibility for Interview:
- Candidates must score 50% or higher in the General category and 45% or higher in the SC/ST/OBC category to qualify for the interview.
- Note: Candidates with an M.Phil. degree or those who have cleared JEST, UGC-NET, or GATE are exempt from the entrance examination but must register with the university and participate in the interview as per UGC guidelines.
Interview:
- Eligible candidates must appear for a Personal Interview (PI) conducted by the University’s Selection Committee:
- The interview carries 50 marks and assesses the candidate’s research aptitude, subject knowledge, and alignment with program objectives.
- The final merit list is determined by the combined score of the entrance exam and the interview.
Research Mode Options:
- Full-Time: Candidates with fellowships from universities or other organizations typically engage in full-time research.
- Part-Time: Candidates employed in educational or research institutions may opt for part-time research while fulfilling their professional obligations.
- Part-time students are expected to visit the University Campus in Ranchi as needed for their research activities.
This structure ensures that scholars have the flexibility to pursue their research aspirations while contributing to academia, industry, or innovation-driven sectors.