I'm a mathematics and computer science student at the University of Florida.

I'm mainly interested in combinatorics, analytic number theory, cryptography, zero-knowledge protocols, algorithms, and low-level systems work.

a) Ramsey theory — polynomial van der Waerden numbers and Rado numbers. So much so that a website is in progress to document all known bounds and to set up collaboration on the field. Since I think its really really easy to get into for high school/early university students.

b) Cryptography — Fourier analytic attacks on combinational circuits (my group at FICS started this work before I arrived at their lab and it is one of my favorite papers: https://tches.iacr.org/index.php/TCHES/article/view/13126). I really like query complexity questions as well (thesis of my PI at REU-CAAR)

c) Algebraic Geometry — Questions of the following sort: "Say I specify 9 pairwise distances between 5 points, is the 10th pairwise distance forced to be some value? Or can it take on values in a single interval like [0,2] or does it need multiple intervals etc."

d) Post-quantum cryptography — I like looking at any sort of side channel vulnerabilities and SOC design.

e) Analytic number theory — ONE OF MY FAVORITE SUBJECTS VIA NUMBER SIEVES.

Custom RISC-V instructions My attempt at playing around to design some instructions in system verilog and see how well they do to speed up ML-KEM.

My Own 2FA Implementation for my Microcontroller I programmed a 2FA implementation on my Microcontroller chip that acts as my passkey for logging into github.

More of my research, projects, notes, and coursework are at
ishankumthekar.com

Most of what I put on GitHub is some mix of math, cryptography, and systems work.

Neural Network on a microcontroller playing and beating me at chess