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Mukesh Kumar Nagar

goa Mathematics

Assistant Professor, Gr-I

Graph Theory, Algebraic Combinatorics, Combinatorial Matrix theory
Assistant Professor (PhD IITB)
A-424, Department of Mathematics
BITS Pilani, K.K Bilra Goa Campus
NH-17B, Zuarinagar-403726, Goa, India
mukeshn@goa.bits-pilani.ac.in

About the Faculty

He did his PhD in Laplacian Immanants of Trees from Indian Institute of Technology Bombay under the supervision of Prof. Sivaramakrishnan Sivasubramanian. He was a PDF and RA fellow at IIT Kanpur, NISER Bhubaneswar, IIT Dharwad, IIT Bombay. His areas of research are in the field of algebraic combinatorics, graph theory and matrix analysis. As expected these three areas are very intimately related and many interesting geometric and topological aspects of a graph can be measured by using algebraic properties of a matrix associated with this graph. A central theme is to find out various applications of combinatorial objects and their connections in algebra. Currently, he is working on open problems involving integer partitions, immanants, spectra of graphs, matrices associated with graphs, quantum walks, symmetric functions, and characters of symmetric group.  

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.

Schools/Conferences:

  • Conference on Linear Algebra and its Applications , 2019, with a talk "Generalized Matrix polynomials of Tree Laplacians indexed by Symmetric functions and the GTS poset" at  Indian Statistical Institute, Delhi, India.
  • ICLAA (2017) with a talk  "Immanants of q-Laplacians of Trees".
  • International conference and PhD-Master summer school on Graphs and Groups, Spectra and Symmetries G2S2 (2016) with talk title "A q and q, t-analogue of Hook Immanantal inequalities and Hadamard inequality for Trees" at Novosibirsk State University, Russia.
  • Caldam (2016)
  • AIS on Algebraic Combinatorics and Spectral Graph Theory
  • AIS on Representation Theory of Finite Groups
  • AIS on Matrix Analysis
  • Indo-Hungarian school on Discrete Mathematics
  • Indo-German school on Big Data

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