I am studying number theory under the supervision of Professor Paul E. Gunnells. Currently, I am trying to find relationships between modular symbols on trees arising from GL(2) over function fields of elliptic curves. My most recent research on this topic titled "Modular Symbols over Function Fields of Elliptic Curves" is available on ArXiv.
At Amherst College, I wrote an expository thesis titled "Galois Representations Associated to Torsion Points of Elliptic Curves." My advisor was Harris B. Daniels.Â