I am a second year Master's student in the math department at UCSB. My advisor is Jon McCammond, with whom I am studying Coxeter groups. I was previously a student of the College of Creative Studies, and as an undergraduate, I worked closely with Jordan Schettler. With Jordan, I studied a connection between hyperbolic triangles and elliptic curves.
My CV can be downloaded from this link.
Limit Roots of Lorentzian Coxeter Systems (in progress)
The Numbers Game for solving the word problem in Coxeter groups
Hyperbolic Triangles for drawing triangles in the upper half plane in Geogebra
These are some topics I am interested in, but may or may not know much about. The items in this list range from specific objects to broad fields of mathematics. I am interested in: Coxeter groups, Artin groups, buildings, L-functions, automorphic forms, noncrossing partitions, regular polytopes, the word problem for groups, path algebras, representation theory, invariant theory, boundaries of groups, Garside structures, incidence/category algebras, noncommutative algebra, braid groups, knot theory, rational points on elliptic curves, generating functions, finite geometries, Klein's solution of the quintic, Diophantine equations, and every topic in the list below.
I am currently the TA for Math 6A (Vector Calculus) and Math 201A (Real Analysis).
In Summer 2015, I was the TA for Math 4A (Linear Algebra).
In Spring 2015, I was the TA for Math 4A (Linear Algebra).
In Winter 2015, I was the TA for Math 118B (Real Analysis).
In Fall 2014, I was the TA for Math 118A (Real Analysis).
In Spring 2014, I was the TA for Math 115B (Number Theory).
In Winter 2014, I was the TA for Math 115A (Number Theory).