Himanshu Gupta | PIMS - Pacific Institute for the Mathematical Sciences

PIMS Postdoctoral Fellow, University of Regina

Himanshu Gupta is a PIMS postdoc at the University of Regina under the sponsorship of Prof. Shaun Fallat. The main focus of His research is Algebraic Graph Theory, the study of graphs using algebraic methods. He enjoys working with Matrices, Groups, Finite Fields, and other algebraic objects to study various structural properties of graphs.

Himanshu grew up in a small city called Sirsa in northern India. He obtained his Ph.D. in Mathematics at the University of Delaware in 2023 under the supervision of Prof. Sebastian Cioaba. Prior to that, he completed a Master's degree in Mathematics at the IISc, Bangalore under the guidance of Prof. Arvind Ayyer. Outside of research he enjoys photography and sketching.

This talk focuses on the inverse eigenvalue problem for graphs (IEPG), which seeks to determine the possible spectra of symmetric matrices associated with a given graph G. These matrices have off-diagonal non-zero entries corresponding to the edges...

A matrix is called totally positive if all of its minors are positive. These matrices are important in mathe- matics, but checking whether a large matrix is totally positive can be challenging. In this talk, we explore whether certain matrices...

In 1995, Lazebnik and Ustimenko introduced the family of q-regular graphs D(k,q), which is defined for any positive integer k and prime power q. The connected components of the graph D(k, q) have provided the best-known general lower bound on the...