# Aditya Karnataki

School of Mathematics, Tata Institute of Fundamental Research, Mumbai

Dr. Homi Bhabha Road, Colaba,

Mumbai, India-400005

**Email:** `aditya`

at `math`

dot `tifr`

dot `res`

dot `in`

**Office:** A453

## Introduction

Welcome to my webpage. I am a Visiting Fellow in School of Mathematics in Tata Institute of Fundamental Research, Mumbai. Before this, I was a PhD student under David Rohrlich in Mathematics at Boston University. I was an undergraduate at Chennai Mathematical Institute.
## Interests

My research is in Number Theory. I am interested in automorphic forms and Langlands program, analytic number theory, representation theory, arithmetic geometry. You may want to view my CV. (Last update : October 31, 2016)

## Papers/Preprints

(Please note that these may not be final versions.)Self-dual Artin representations of dimension three (with an appendix by David E. Rohrlich), *To appear in Journal of Number Theory.*

p-adic Uniformization of locally symmetric spaces, *In preparation. Preprint available upon request.*

## Mathematical Writings

Notes (typed by John Bergdall) for a talk I gave at the p-adic Hodge Theory Seminar at Boston University on the Serre-Tate equivalence between formal groups and connected p-divisible groups. I take responsibility for any errors that you may find. Notes for other such talks exist, but not yet in a searchable pdf format.

Here is an article in Marathi I wrote as an Introduction to Knot Theory on a Marathi website, Maayboli.com. Here is another article I wrote for the same portal on the theme of "Paradigm Shifts in Mathematics" as part of their Diwali initiative. A translation of it can be found here.