Overview
The Research Centre of Mathematics at MES Kalladi College is dedicated to advancing both pure and applied mathematics, with a strong focus on specialized and emerging areas. The Centre promotes innovative research and collaboration among faculty and students, addressing contemporary mathematical challenges through interdisciplinary and application-oriented approaches.
Key research areas include Generalized Sets and Multisets, which provide flexible frameworks for data representation; Rough Set Theory for handling uncertainty in data analysis; and Cryptography, focusing on secure communication in the digital era. The Centre also emphasizes Algebra and Finite Fields with applications in coding theory, Differential Equations for modeling dynamic systems, and Stochastic Differential Equations for studying randomness in fields such as finance and science. Additionally, research in Numerical Analysis and Numerical Methods supports the development of efficient computational techniques for solving complex problems.
The Centre fosters a collaborative research environment through seminars, workshops, and academic publications, encouraging interdisciplinary projects and innovative problem-solving. It actively promotes research excellence by supporting faculty and students in publishing, attending conferences, and undertaking funded projects. Curriculum development is enhanced by integrating advanced mathematical concepts, while capacity-building initiatives help develop research and technical skills. The Centre also engages with the community to promote mathematical awareness and supports emerging researchers through mentorship and guidance.
Research Progress
The department is proud to have two recognized research guides, Dr. Girish K. P. and Dr. Ranjini M. C., who are currently supervising five research scholars. Our faculties are pursuing their research at esteemed institutions, including the Centre for Research in Higher Mathematics, MES Kalladi College (Mr. Saidalavi P), MES Mampad College Research Centre (Ms. Shajitha A), and Farook College, Calicut (Mr. Haneen Mohammed). The Centre remains committed to fostering research excellence and academic growth.
Research Guides
| Sl. No. | Name | Research Centre | Area of Interest |
|---|---|---|---|
| 1 | Dr. Girish K P | PG & Research Department of Mathematics ,MES Kalladi College ,Mannarkkad | General Sets, Cryptography |
| 2 | Dr. Ranjini M C | PG & Research Department of Mathematics ,MES Kalladi College ,Mannarkkad | Fractional Differential Equations, Stochastic Differential Equations, Numerical Analysis |
Research Scholars
| Sl. No. | Scholar Name | Date of Registration | Guide Name | Title of Thesis | Category | Nature of Fellowship |
|---|---|---|---|---|---|---|
| 1 | Mr. Saithalavi P | 2019-12-09 | Dr. Girish K P | Construction of Petri Net Structure over Finite Fields for S-Box in AES | OBC | NA |
| 2 | Ms. Resmi M | 2019-12-09 | Dr. Girish K P | A study on permutation polynomials over Finite Fields | GENERAL | NA |
| 3 | Ms. Ashitha P A | 2019-09-26 | Dr. Ranjini M C | - | OBC | NA |
| 4 | Mr. Abdul Saleem V A | 2021-10-06 | Dr. Ranjini M C | - | OBC | NA |
| 5 | Ms. Sunitha K G | Dr. Girish K P | Combinatorics of Finite multisets and Rough Multiset Approximations | GENERAL | NA |
Student Publication
| Sl. No. | Title | Author | Journal |
|---|---|---|---|
| 1 | On the Numerical Solution of Fractional Riccati Differential Equations | M.C. Ranjini , Ashitha P.A | Malaya Journal of Mathematik, Vol.S, No.1, 214-219, 2020 |