Dr. P. Xavier

Dr. P. Xavier is an Assistant Professor in the Division of Digital Sciences at Karunya Institute of Technology and Sciences, Coimbatore. He holds a Ph.D. in Mathematics with specialization in Fuzzy Topology from Karunya Institute of Technology and Sciences, an M.Phil. in Education with specialization in Pedagogical Development, an M.Ed. in Education with specialization in Guidance and Counselling, a PGDCA, a B.Ed. in Mathematics, an M.Sc. in Mathematics, and a B.Sc. in Mathematics. He has also qualified the Tamil Nadu State Eligibility Test (TNSET) in Mathematics and Education.

His research focuses include Fuzzy Topology, Fuzzy Mathematics, Pedagogical Development, Instructional Technology, Learning Disabilities, and Mathematics Education. His doctoral thesis was titled “A Novel Approach to Fuzzy Nearly Open Sets and Fuzzy Continuity.” His recent research publications cover areas including equitable coloring using spectral clustering in distributed web networks, equitable total coloring of graphs, fuzzy continuity, and fuzzy irresolute functions.

Dr. P. Xavier has been associated with Karunya since July 2007, serving as an Assistant Professor in the Division of Education from July 2007 to June 2011 and as an Assistant Professor in the Division of Digital Sciences since July 2011. His academic contributions include participation and presentation in 22 conferences and serving as a resource person in five Faculty Development Programmes. He has also contributed as a session chair in conferences and as a reviewer for journals.

Dr. P. Xavier’s professional profile combines expertise in mathematics, fuzzy mathematical concepts, mathematics education, and pedagogical development. His academic work reflects his contributions to fuzzy topology and graph-theoretic studies, along with his involvement in conferences, Faculty Development Programmes, session chairing, and journal reviewing.