The topic of my thesis is finding discrete representations of the braid groups into lattices. My approach is to specialize the parameter of the representation to certain Salem numbers and harness the algebraic properties of the Salem numbers to guarantee discreteness of the representation.

I am also interested in planar algebras and their relation to representations of the braid groups and quantum computations.

Here is my CV.

Here are some paper I have written.

Complete Classification of Discrete Specializations of the Burau Representation of B_3

A Survey of Grid Diagrams and a Proof of Alexander’s Theorem

My Master’s thesis: The Alexander Polynomial

Turning Math Into Dance: Lessons from Dancing my PhD