My Research

While all three of these fields might seem unrelated, they coalesce into the booming research area of post-quantum cryptography. As humans, we are in a unique place in our current understanding of computability and algorithmic complexity. Nobody quite understands what computers are capable of. Some problems we can solve very quickly even with our slowest computers, some problems seem take millennia to solve for even the best computers, and some problems are provable unsolvable by any computer. To make things even more interesting, emerging quantum computing technology has theoretical hope to push the bounds of what is able to be computed quickly.

My goal as a researcher is to developing algorithms, both quantum and classical, that advance our understanding of computer science and mathematics. I am particularly interesting in Hilbert’s tenth problem, isogeny-based cryptography, and the underlying problems in lattice-based cryptography.