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Mukesh Kumar Nagar

Assistant Professor, Gr-I

Algebraic Combinatorics, Combinatorial Matrix theory, Graph Theory, Linear Algebra
Assistant Professor (PhD IITB)
A-424, Department of Mathematics
BITS Pilani, K.K Bilra Goa Campus
NH-17B, Zuarinagar-403726, Goa, India

About the Faculty

He completed his PhD in Laplacian Immanants of Trees at the Indian Institute of Technology Bombay, under the supervision of Prof. Sivaramakrishnan Sivasubramanian. He has served as a postdoctoral fellow and RA fellow at IIT Kanpur, NISER Bhubaneswar, IIT Dharwad, and IIT Bombay. His research areas include algebraic combinatorics, graph theory, and matrix analysis. These three fields are closely interconnected, and many intriguing geometric and topological aspects of a graph can be measured using the algebraic properties of matrices associated with that graph. A central theme of his work involves exploring various applications of combinatorial objects and their relationships in algebra. Currently, he is focused on open problems related to integer partitions, immanants, spectra of graphs, matrices associated with graphs, quantum walks, symmetric functions, and characters of symmetric groups.

Work Experience

  • Assistant Professor, Department of Mathematics, Birla Institute of Technology and Science (BITS) Pilani, K. K. Birla Goa Campus, Goa, India (June 2024 - ).
  • Assistant Professor, Department of Mathematics, Jaypee Institute of Information Technology (JIIT) Noida, India (June 2023 - May 2024).
  • Assistant Professor, Department of Mathematics, Punjab Engineering College (PEC) Chandigarh, India (August 2022 - May 2023).
  • National Postdoctoral Fellow, Indian Institute of Technology Kanpur, India (May 2019 - May 2021).
  • Postdoctoral Fellow and RA, NISER Bhubaneswar, IIT Dharwad, IIT Bombay (Jan 2018 - April 2019).

Educational Qualifications

  • Ph. D. in Mathematics from Indian Institute of Technology Bombay, Mumbai India. (PhD Supervisor: Prof. Sivaramakrishnan Sivasubramanian)
  • M.Sc. Tech. Maths in Mathematics and Computing from Central University of Rajasthan, India.
  • B.Sc. in Physics, Chemistry, Mathematics from University of Kota, Rajasthan, India.

Fellowships and Awards : NPDF Fellowship, INSPIRE Fellowship, CSIR UGC NET-JRF, GATE-JRF, University Gold Medal, UGRI Fellowship.