Dr. Rajesh K. Thumbakara

Associate Professor
M. Sc., CSIR-JRF, Ph. D

Profile

Rajesh K. Thumbakara joined Mar Athanasius College (Autonomous), Kothamangalam on December 2, 2004. He currently serves as an Associate Professor in Mathematics and the Dean of Research. He completed his M.Sc. and Ph.D. in Mathematics at Cochin University of Science and Technology (CUSAT), receiving his doctorate in 2007 under the supervision of Prof. T. Thrivikraman. At Mar Athanasius College, a regional research center of Mahatma Gandhi University, Kottayam, he is a recognized research guide in Mathematics and mentors four doctoral scholars.

Research

His research interests include Topology, Graph Theory, Algebra, Fuzzy Mathematics, Soft and Rough Set Theories, Machine Learning.

 

Projects

2017

  • Generalized Graphs and Fuzzy Graph Structures - Minor Research Project funded by UGC SWRO, Bangalore 

2012

  • Generalized Study of Frames and its application in Information Science - Minor Research Project funded by UGC SWRO, Bangalore 

Publications

2023

  • Soft Semigraphs and Different Types of Degrees, Graphs and Matrices Associated with Them, B George, RK Thumbakara,J Jose, Thai Journal of Mathematics, Volume 21, Number 4, 2023.

  • Cartesian product and composition of soft semigraphs, B George, J Jose, RK Thumbakara, New Mathematics and Natural Computation, 1-24, 2023.

  • Soft Directed Graphs, Their Vertex Degrees, Associated Matrices and Some Product Operations, J Jose, B George, RK Thumbakara, New Mathematics and Natural Computation 19 (03), 651-686, 2023.

  • Investigating the traits of soft semigraph-associated degrees, B George, J Jose, RK Thumbakara, New Mathematics and Natural Computation, 1-17, 2023.

  • Exploring soft hypergraphs through various operations, B George, J Jose, RK Thumbakara, New Mathematics and Natural Computation, 2023.

  • Rooted Product and Restricted Rooted Product of Soft Directed Graphs, J Jose, B George, RK Thumbakara, New Mathematics and Natural Computation 2, 2023.

  • A Study on Soft Hypergraphs and their AND & OR Operations, B George, RK Thumbakara, J Jose, Journal of the Calcutta Mathematical Society 19 (1), 29-44, 2023.

Journal Publications

Achievements

  • Chapter Secretary (Ernakulam), Kerala Mathematical Association.
  • Co-guide at Malaysian Technological University, Malaysia.
  • Doctoral Committee member of APJ Abdual Kalam Technological University, Kerala.
  • Member of Faculty of Science, Mahatma Gandhi University, Kottayam.
  • Member of Board of Studies of PG and UG Mathematics, M.G University 2014-17.
  • Core Committee member, preparation of Guidelines for UG Syllabus revision, M.G University 2014-17.
  • Best NSS Programme Officer award from Mahatma Gandhi University, Kottayam during 2009-10.
  • Contingent Leader from Kerala and Lakshadweep for the NSS Republic Day parade camp at New Delhi, 1st to 31st January 2010.
  • Contingent Leader from Kerala and Lakshadweep for the NSS Pre RD camp held at Bangalore, October 2009. 

Awards and Recognition

  • Best NSS Programme Officer award from Mahatma Gandhi University, Kottayam (2009-10)
  • CSIR-UGC Junior Research Fellowship 1999
  • Graduate Aptitude Test for Engineering (GATE-1999), All India Rank: 48
  • Graduate Aptitude Test for Engineering (GATE-1998), All India Rank: 59 

Institutional Responsibilities

  • Dean of Research (2022-till date)
  • FYUGP Coordinator
  • Core Committee Member IQAC (2016-till date)  
  • Member of Academic Council (2017-till date)
  • Head, Department of Mathematics (01-06-2017 to 31-05-2023)
  • Chairman of Board of Studies, PG and UG Mathematics (2019-23)
  • Returning Officer (College Council election & Senate Election) (2022- till date)
  • Nodal Officer, Medisep (2021-2023)
  • UGC Coordinator (2020-2024)
  • Member, Governing Body (2019-2021)
  • Coordinator, PARAMARSH (UGC Scheme for mentoring NAAC Accreditation Aspirant Institutions) (2019-2021)
  • Staff Adviser (2015-2020)
  • Chairman, Planing and Evaluation Committee (2017-19)
  • Convenor of the Entertainment Committee, Diamond Jubilee Celebrations of MA College, VAjRA2K15.
  • Returning Officer (College UnionElection) (2012-2014)
  • Vice-President, Road Safety Club (2012-15)
  • Teacher in charge, Disaster Management Cell (2013-16)
  • Co-ordinator, Internal evaluation (2010-2014)
  • Programme Officer, N.S.S (June 2007- May 2010)
  • Teacher in Charge of Science Form (2005-2007)

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