Ph.D. in Mathematics

Programme Overview

The Department of Mathematics & Statistics offers a highly research-intensive Doctoral programme and provides students with excellent facilities and expert guidance to support their research endeavors. The programme is designed to help postgraduate students develop research skills and prepare for careers in academia or research. The programme provides specialised training in research components such as hypothesis creation, research questions, literature review, research ethics, and the use of online tools and resources. The programme has a strong focus on interdisciplinary research and encourages students to pursue innovative and entrepreneurial ideas in their chosen areas of study.

The Department has a team of young dynamic researchers from various fields of pure as well as applied Mathematics and Statistics. The research supervisors have a good number of publications in peer reviewed reputed national/international journals. The areas of research are Topology, Metroid Theory, Combinatory, Graph Theory, Algebra, Lattice Theory, Discrete Mathematics, optimisation techniques, logistics and supply chain management, Dynamical Systems, Solid Mechanics, Mathematical Modelling, Clinical Trials etc.

Duration & Fees

Duration

Minimum 3 Years

Applications Closed for 2025

I. Eligibility Criterion for admission to the Ph.D. Programme

The following candidates are eligible to seek admission to the Ph.D. programme

Candidates who have completed:

i) A 1-year/2-semester master’s degree programme after a 4-year/8-semester bachelor’s degree programme or a 2-year/4-semester master’s degree programme after a 3-year bachelor’s degree programme or qualifications declared equivalent to the master’s degree by the corresponding statutory regulatory body, with at least 55% marks in aggregate or its equivalent grade in a point scale wherever grading system is followed or equivalent qualification from a foreign educational institutions accredited by an assessment and accreditation agency which is approved, recognised or authorised by an authority, established or incorporated under a law in its home country or any other statutory authority in that country to assess, accredit or assure quality and standards of the educational institutions.

A relaxation of 5% marks or its equivalent grade may be allowed for those belonging to SC/ST/OBC (non-creamy layer)/differently-abled, Economically Weaker Section (EWS) and other categories of candidates as per the decision of the commission from time to time.

Provided that a candidate seeking admission after a 4-year/8-semester bachelor’s degree programme should have a minimum of 75% marks in aggregate or its equivalent grade on a point scale wherever the grading system is followed. A relaxation of 5% marks or its equivalent grade may be allowed for those belonging to SC/ST/OBC (non-creamy layer)/Differently-abled, Economically Weaker Section (EWS) and other categories of candidates as per the decision of commission from time to time.

ii) Candidates who have completed the M. Phil programme with at least 55% marks in aggregate or its equivalent grade in a point scale. A relaxation of 5% marks or its equivalent grade may be allowed for those belonging to SC/ST/OBC (non-creamy layer)/Differently abled, Economically Weaker Section (EWS) and other categories of candidates as per the decision of commission from time to time.

Reservation is applicable only to Maharashtra domicile candidates provided they submit the necessary documents for reservation before interview. Outside Maharashtra candidates will be considered in open category.

II. Selection Process for the admission to the Ph.D. program

1. Candidates satisfying eligibility criteria shall be called to appear for the Ph.D. entrance test conducted by MITWPU. The exemption will be given from Ph.D. entrance tests for those students who qualify UGC-NET /UGC-CSIR NET /GATE (valid score)/CEED/GPAT (valid score)and similar national tests.

2. Ph.D. entrance test shall be qualifying with qualifying marks as 50% provided that relaxation from 50% to 45% shall be allowed for the candidates belonging to SC/ST/OBC (Non creamy layer)/Differently abled category, Economically Weaker section (EWS) and other category of candidates. The syllabus of the entrance test shall consist of 50% of research methodology and 50% shall be subject specific.

3. The interview/viva-voce will be conducted by the university for test qualifying candidates. For selection of candidates a weightage of 70% to the entrance test and 30% to the performance in the interview/Viva-voce shall be given. For GATE/NET/JRF /SET/GPAT/CEED qualified students, the selection will be based on Interview/Viva Voce

4. The recommended candidates will be intimated through email about their selection and the candidates will be offered Ph.D. provisional admission.

5. The eligibility of a candidate is provisional as per information provided by the candidate in his/her application form and is subject to verification of minimum eligibility conditions for admission to the programme, educational documents and reservation documents (if any).

6. University keep rights to cancel admission of the Ph.D. scholars in the case of misconduct by the scholar, unsatisfactory progress/absent for consecutive two progress seminars, failure in any examination related to Ph.D., fabrication found in educational and reservation documents, candidate is found ineligible, involved in plagiarism in paper publications and thesis.

7. Provisional eligibility to appear in the selection process is no guarantee for admission to the programme.

8. Candidates who will join Ph.D. programme full time, they will be provided with the stipend as per MITWPU norms.

9. Ph.D. admission will be confirmed after successful completion of the coursework with 55% or more as per UGC norms. Ph.D. programme should be minimum of three years including coursework and maximum of six years from the date of admission to the Ph.D. programme.

10. A maximum of an additional two years (2) years can be given through the process of re-registration provided, however, that the total period for completion of a Ph.D. programme should not exceed eight (8) years from the date of admission in the Ph.D. programme.

11. Provided further that, female Ph.D. scholars and persons with Disabilities (having more than 40% disability) may be allowed an additional relaxation of two years (2) ; however, the total period for completion of a Ph.D. programme in such cases should not exceed ten (10) years from the date of admission of the programme.

12. Female candidates may be provided Maternity Leave/Child Care Leave for up to 240 days in the entire duration of Ph.D. programme.

Research Scholar

Sr. No. Name of the scholar Name of the supervisor Title

1

Mr. Gunjal Sachin Shivaji

Dr. Prashant Malavadkar

On Codes, matroids and related results

2

Mr. Narke Amol Prakash

Dr. Prashant Malavadkar

On energy and path energy of graphs and related results

3

Ms. Kshirsagar Pratibha Sharad

Dr. Rupal Shroff

A Study of graphs derived from ordered structures

4

Mr. Jagadale Uday Vilas

Dr. Prashant Malavadkar

On binary pancyclic and unipancyclic matroids

5

Ms. Rajashree Sahadeo Jadhav

Dr. Amey Deshpande

A Study Of Nonlinear Time Fractional Partial Differential Equations

6

Ms. Rasika Ravindra Deshpande

Dr. Amey Deshpande

Applications of Fractional Dynamical Systems for Designing Novel Cryptographic Techniques

7

Ms. Shahin Abdul Shaikh

Dr. Rupal Shroff

An extended study of zero divisor graph of commutative rings

8

Mr. Kundan Nagare

Dr. Prashant Malavadkar

Course work completed and title presentation is pending.

Research Supervisor

Sr. No. Name of the Research Supervisor Research areas of the Supervisor Email address of the Supervisor Scopus ID , Researchers ID, Personal website link and Vidwan profile link of the Supervisor

1

Dr. Prashant P. Malavadkar

Matroid Theory,
Graph Theory,
Combinatorics and
Discrete Mathematics

prashant.malavadkar@mitwpu.edu.in

https://www.scopus.com/authid/detail.uri?authorId=37056044300
ORCID: 0000-0001-7706-3286

2

Dr. Rupal C. Shroff

Algebra, Lattice Theory, Graph theory and discrete mathematics

rupal.shroff@mitwpu.edu.inandrupal_shroff84@yahoo.co.in

Scopus Author ID: 56740513200,
https://orcid.org/0000-0002-5258-9107

3

Dr. Amey Deshpande

Nonlinear Dynamical Systems, Fractional Differential Equations

amey.deshpande@mitwpu.edu.in

Scopus
Researchers ID
Vidwan Link : https://vidwan.inflibnet.ac.in/profile/338405

4

Dr. A. Akibasha

Optimization Techniques, Logistics & Supply Chain Management, Fuzzy & Rough Set Theory, Sensitivity Analysis

akilbasha.a@mitwpu.edu.in

Scopus Id:https://www.scopus.com/authid/detail.uri?authorId=56940684100
Web of Science:https://www.webofscience.com/wos/author/record/ADQ-8826-2022

5

Dr. Mukesh Pal

Elastodynamics;
Wave Propagation;
Mathematical
Modelling of Smart
Materials.

mukesh.pal@mitwpu.edu.in , mkpal.mathematics@gmail.com

Google scholar
link
https://scholar.google.com/citations?user=N2hkcH8AAAAJ&hl=en

6

Dr. Priyanka Kumari

Algebraic Combinatorics, Combinatorial Designs (Difference Sets), Bent functions

priyanka.kumari@mitwpu.edu.in

Scopus ID:https://www.scopus.com/authid/detail.uri?authorId=57660659400
Reserchers ID:https://www.webofscience.com/wos/author/record/3700680
ORCID:https://orcid.org/0000-0003-4453-8518

7.

Dr. Hemant Kulkarni

Quantile Regression

hemant.kulkarni@mitwpu.edu.in

Scopus ID:https://scholar.google.com/citations?user=ga71KboAAAAJ&hl=en

8

Dr. Abhishek Singh

Sampling, Ranked Set Sampling, Neutrosophic Statistics

abhishek.singh@mitwpu.edu.in

https://scholar.google.com/citations?user=K6xNLtwAAAAJ&hl=en
https://orcid.org/0000-0003-2009-5177

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