Arshay Sheth
About me
I am a first year PhD student working under the supervision of Prof. David Loeffler and a member of the Number Theory Group at the University of Warwick. I am especially interested in topics such as special values of L-functions, p-adic variation of automorphic forms and Euler systems, Iwasawa theory and explicit class field theory.
I completed my undergraduate studies at the National University of Singapore and my masters studies at Leiden University and the University of Regensburg as part of the ALGANT program.
Contact Details
Email address: arshay.sheth@warwick.ac.uk
Teaching
- 2021/2022 Term 2: Teaching assistant for MA257 Introduction to Number Theory .
- 2021/2022 Term 1: Teaching assistant for MA3A6 Algebraic Number Theory.
Writings
Theses:
- Masters thesis: The Brumer-Stark Conjecture
- Undergraduate thesis: Local Class Field Theory
Expository articles:
Reports for talks in learning seminars/ study groups:
- Heegner Points for a study group on CM theory and RM theory.
- The Absolute Galois Group of C(t) for a seminar on Galois Groups and Fundamental Groups.
- Transformation formulae and Theta Relations for a seminar on Theta functions, complex abelian varieties and their moduli spaces.
- The Atiyah-Janich Theorem for a seminar on Topological K-theory .
- The Commutativity Theorem and Segre & Chern classes of vector bundles for a seminar on intersection theory.
- Simply Connected Lie Groups & the Exponential Map and Representations of sl(2,C) for a seminar on Lie theory.
- Orientation & Integration and Stokes' theorem for a seminar on de Rham cohomology