Hi there! I'm a 5th year mathematics graduate student at Cornell University (Fall 2015 to present). Starting September 2020 I shall be a postdoctoral fellow at the University of British Columbia.

 

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.

Here's a link to my CV.

email: ar2222@cornell.edu

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