Hi there! I'm a 5th year mathematics graduate student at Cornell University (Fall 2015 to present) specializing in Algebraic Number theory. I will be applying for postdocs this year.
My advisor is Professor Ravi Ramakrishna.
I'm interested in algebraic number theory and algebraic geometry. My current research may be categorized as follows:
1. I study properties of Galois representations associated to elliptic curves, modular forms (and more generally, automorphic forms). More precisely, I investigate various generalizations and refinements of Serre's conjecture.
2. I investigate questions in the Iwasawa theory of elliptic curves motivated by the Birch and Swinnerton-Dyer conjecture.
3. I study algebro-geometric properties of certain families of perfectoid spaces.