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Ph.D. Mathematics

Eternal University offers a full-time Ph.D. program in Mathematics with a minimum duration of three years. Admission to the program is through an entrance test conducted annually by the Department of Mathematics, Eternal University, Baru Sahib, during August–September.

The Ph.D. program in Mathematics is designed to foster advanced research and academic excellence in various domains of pure and applied mathematics. Offered through the Akal College of Basic Sciences, the program aims to equip scholars with a deep theoretical understanding and strong computational skills to address complex mathematical problems and real-world challenges.

Students are guided through rigorous coursework, intensive seminar presentations, and supervised research work culminating in a dissertation. Emphasis is placed on the development of analytical thinking, mathematical modelling, software tools, and interdisciplinary research capabilities. The program is structured to produce highly skilled researchers, academicians, and professionals who can contribute to the advancement of mathematical sciences and its applications in industry, technology, and society.

Candidates are expected to engage in extensive study, culminating in a thesis that reflects significant scholarly contribution. The program fosters a collaborative research environment, providing opportunities for participation in seminars, workshops, and conferences. Graduates of the Ph.D. program are well-prepared for careers in academia, research institutions, and industries that require high-level mathematical expertise.

Eligibility Criteria:

M.A./M.Sc. Mathematics with minimum 55% marks from a recognized University and 50% marks in Eternal University entrance test.

Duration:

3-5 Years

Seats:

2 (For Session 2025-26)

Scholarships:

Scholarships are available for Meritorious Girls, whilst, tuition fee waiver for Single Girl Child, Two Real Sisters, and Wards of Defence Personals subject to fulfilment of eligibility criteria as notified by the competent authority of the University.

Fellowship:

A monthly fellowship of Rs. 5,000/- will be provided, subject to fulfilment of the specified eligibility criteria.

Academic Coordinator:

Dr. Surjan Singh
Professor & Head
Department of Mathematics
Akal College of Basic Sciences
Eternal University Baru Sahib HP
Mobile: +91 8580806659
E-mail: drsurjanmath@eternaluniversity.edu.in

Admission Coordinator:

Dr. Soni Bisht
Assistant Professor
Department of Mathematics
Eternal University Baru Sahib HP
Mobile: +91 8755569288
Email: sonibisht@eternaluniversity.edu.in

The Department of Mathematics at Eternal University is actively engaged in research aligned with both theoretical advancements and real-world applications. The faculty members contribute significantly to the following thrust areas:

  • Heat and Mass Transfer
  • Reliability Theory
  • Fractional Differential Equations
  • Image Processing
  • Wavelet Analysis

Student Research and Thesis Guidance (Last Five Years)

Our faculty members actively mentor Ph.D. students, guiding them through their research projects and thesis work. Many students have presented their work at conferences and published in peer-reviewed journals.

S. No. Name of Student & Regn. No. Program Name Title of Thesis/Dissertation
1. Neha Sharma (BS18PSMA003) Ph.D. STUDY ON MATHEMATICAL MODELLING AND SIMULATION OF BIOHEAT TRANSFER IN TISSUE
2. Shivani (BS19PSMA003) Ph.D. EIGENVALUES AND SINGULAR VALUES: RECENT DEVELOPMENT WITH APPLICATIONS
3. Parvinder Kaur (BS19PSMA002) Ph.D. A STUDY ON SOLUTION OF HEAT EQUATION USING DIFFERENT METHOD
4. Bharti Thakur (BS19PSMA001) Ph.D. A STUDY ON NUMERICAL SOLUTION OF FRACTIONAL DIFFERENTIAL EQUATION: WAVELET APPROACH
5. Priti Sharma (BS20PSMA002) Ph.D. STUDY OF MATHEMATICAL MODELLING FOR HEAT TRANSFER IN FINS

Prominent Research Publications

  1. Kaur K, Singh S (2025). Thermal Distribution in Fins of Different Geometries With Temperature and Wavelength Dependent Properties. Heat transfer Wiley, ESCI, Scopus, Web of Science Jan 2025; 1–13, ISSN:2688-4542(Clarivate). DOI: https://doi.org/10.1002/htj.23280 [IF 2.8].
  2. Ranta S, Gupta S, Sharma DK (2024). A new Legendre wavelet filter-based image super-resolution technique. Multimedia Tools and Applications SCOPUS (Springer) 2024 Feb 16:1-5. DOI: https://doi.org/10.1007/s11042-024-18529-w [IF 3.0].
  3. Sharma P, Singh S & Upadhyay S (2024). Temperature distribution in stretching/shrinking fin with variable parameters. Heat Transfer, 53(7), 3625-3642. DOI: https://doi.org/10.1002/htj.23103 [IF 2.8].
  4. Upadhyay S, Sharma P, Singh S & Rai K N (2023). A new iterative Broyden Legendre Wavelet Galerkin FEM applied to study heat transfer in two-dimensional elliptic and plate fins. The European Physical Journal Plus, 138(12). DOI: https://doi.org/10.1140/epjp/s13360-023-04788-3 [IF 2.8].
  5. Gupta S, & Ranta S (2022). Legendre wavelet based numerical approach for solving a fractional eigenvalue problem. Chaos, Solitons & Fractals, 155, 111647. DOI: https://doi.org/10.1016/j.chaos.2021.111647 [IF 5.3].
  6. Gupta S, Sharma DK, and Ranta S (2022). A new hybrid image enlargement method using singular value decomposition and cubic spline interpolation. Multimedia Tools and Applications, 81(3), 4241-4254. [ISSN: 1573-7721; Springer]. DOI: https://doi.org/10.1007/s11042-021-11767-2 [IF 3.0].
  7. Kaur H, Rai K N & Upadhyay S (2022). A numerical study of moving boundary problem involving dual phase lag model of heat mass transfer during immersion frying. Mathematics and Computers in Simulation, 202, 79-100. DOI: https://doi.org/10.1016/j.matcom.2022.05.025 [IF 4.4].
  8. Bisht S, Kumar A, Goyal N, Ram M & Klochkov Y. (2021). Analysis of Network Reliability Characteristics and Importance of Components in a Communication Network. MDPI Mathematics. 9(12), 1-13. DOI: https://doi.org/10.3390/math9121347 [IF 2.3].
  9. Bisht S, Kumar A, Singh S B & Ram M (2025). Evaluation of reliability and characteristics measure using exponential decay distribution of non‐series parallel network. Quality and Reliability Engineering International, 41(1), 589-605. DOI: https://doi.org/10.1002/qre.3680 [IF 2.2].
  10. Goyal, N., Ram, M., Kumar, A., Bisht, S., & Klochkov, Y. (2021). Reliability Measures and Cost Analysis of Windmill Water Pumping System Incorporating Warranty and Two Types of Repair. MDPI Mathematics. 9(8), 1-15. DOI: https://doi.org/10.3390/math9080822 [IF 2.3].
Dr. Surjan Singh
Dr. Surjan Singh
Designation: Professor & Head
Email: drsurjanmath@eternaluniversity.edu.in
Dr. Soni Bisht
Dr. Soni Bisht
Designation: Assistant Professor
Email: sonibisht@eternaluniversity.edu.in
Dr. Shivani
Dr. Shivani
Designation: Assistant Professor
Email: Shivani@eternaluniversity.edu.in
Dr. Bharti Thakur
Dr. Bharti Thakur
Designation: Assistant Professor
Email: bharti@eternaluniversity.edu.in
Ms. Harpreet Kaur
Ms. Harpreet Kaur
Designation: Teaching Associate
Email: hk708751@gmail.com

Student Awards / Recognitions

Name of Student Program Name Registration No. Details of Award/Recognition Awarding Agency/Institution
Neha Sharma Ph.D. BS18PSMA002 Best Paper Award in the International Conference held on (30-31st, May, 2024) G.D. Goenka University, Gurgram

Alumni Career Highlights

S.No. Name of Alumnus Program in which Studied Current Employment Employer Name Designation
1 Dr. Neha Sharma M.Sc., Ph.D. Academia Swami Vivekanand Institute of Engineering and Technology, Patiala Assistant Professor
2 Dr. Shivani M.Sc., Ph.D. Academia Eternal University, Baru Sahib Assistant Professor
3 Dr. Parvinder Kaur M.Sc., Ph.D. Academia Akal University, Talwandi Sabo Assistant Professor
4 Dr. Bharti Thakur M.Sc., Ph.D. Academia Eternal University, Baru Sahib Assistant Professor
5 Dr. Priti Sharma M.Sc., Ph.D. Academia CGC Landran, Mohali Assistant Professor

Career Opportunities After Ph.D. in Mathematics

A Ph.D. in Mathematics equips scholars with a high level of analytical thinking, logical reasoning, and problem-solving abilities. This advanced degree opens doors to a wide variety of career paths across academia, research, government, and industry, both in India and abroad.

  • Assistant Professor or Lecturer in central/state universities and colleges
  • Postdoctoral Fellowships (India and abroad)
  • Research Scientist in premier institutions (IITs, IISc, ISI, CSIR, DRDO)
  • Academic Administrator (HoD, Dean, Director roles)
  • Reviewer or Editor for peer-reviewed mathematical journals
  • Data Scientist / Data Analyst
  • Quantitative Analyst in finance and investment firms
  • Scientist/Researcher in DRDO, ISRO, BARC, CSIR, and ISI
  • Academic and research roles in NCERT, NITI Aayog, and Ministry of Education
  • Academic expert or evaluator in UGC, AICTE, NAAC
  • Specialist Officer roles in banking and insurance sectors (IBPS, SBI, LIC)
  • Actuarial Science & Risk Analysis
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