ABOUT ME
I did my Ph.D. in Local Spectral Theory of Composition Operators on various function spaces. My current area of research deals with various aspects of shift operators associated with directed graphs. It is an interplay of Graph Theory and Operator Theory.
Research Interests
Education/Employment
2009 - 2014
Banaras Hindu University
Ph. D. Student
Local Spectral Theory
A theory which helps one to understand the spectrum of a bounded linear operator on a Banach Space.
Reproducing Kernel Hilbert Spaces
A class of function spaces associated with kernel functions.
2015 - 2017
Harish-Chandra Research Institute
Post-Doctoral Fellow
Shift Operators
A class of operators which constitute a pivotal part of Operator Theory.
2017 - 2018
Indian Institute of Technology Kanpur
SERB-National Post-Doctoral Fellow
Directed Graphs
Objects consisting of vertices and directed edges.
2018 - 2022
Indian Institute of Technology Kanpur
INSPIRE Faculty Fellow
2022 - present
Birla Institute of Technology and Science, Pilani
Assistant Professor