In memoriam: aspects of Santosh Kumar's work on exact results in RMT

TL;DR

This paper memorializes Santosh Kumar's contributions to exact results in random matrix theory, highlighting his research on quantum chaos and information theory, and aims to serve as a resource for future work.

Contribution

It summarizes Santosh Kumar's research directions and findings in exact results in RMT, providing insights and a resource for ongoing and future studies.

Findings

Key research directions in RMT by Kumar

Applications to quantum chaos and information theory

Compilation of Kumar's significant results

Abstract

Santosh Kumar was an active researcher on the topic of exact results in random matrix theory and their various applications, particularly to quantum chaos and information theory. Barely entering his mid-career, he died unexpectedly on the 18th October 2024. The present article gives an account of some of his research directions and findings. As well as serving as a tribute to his work, this is done also for the purpose of providing a resource for those who may continue along related lines in the future.