Arshay Sheth
About me
I am a second 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, Euler systems, p-adic variation of automorphic forms, 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
Publications
- A statistical comparison of flood-related economic damage in Indian states with reflections on policy implications (published version) (pdf) (joint with P. Bansal, J. Chuah, S. Das and R. Wasson), International Journal of Disaster-Risk Reduction, Volume 72, April 2022.
Teaching
- 2022/2023 Term 1: Teaching assistant for MA3A6 Algebraic Number Theory and MA4L6 Analytic Number Theory.
- 2021/2022 Term 2: Teaching assistant for MA257 Introduction to Number Theory .
- 2021/2022 Term 1: Teaching assistant for MA3A6 Algebraic Number Theory.
Talks in research seminars and conferences
- p-adic variation of the Asai-Flach Euler system, Number Theory seminar, Indian Institute of Science, Bengaluru, India, 17th August 2022.
- p-adic variation of the Asai-Flach Euler system, Summer school on Motives and Arithmetic Groups, Strasbourg, France, 13th June 2022.
Writings
Theses:
- Masters thesis: The Brumer-Stark Conjecture
- Undergraduate thesis: Local Class Field Theory
Expository articles:
Notes/slides for talks in learning seminars/ study groups:
- Etale cohomology and the Weil conjectures: A survey for a study group on Hasse-Weil zeta functions.
- A Historical Introduction to Transcendental Number Theory for a talk in the Warwick Postgraduate seminar.
- Heegner Points for a study group on CM theory and RM theory.
- The Absolute Galois Group of C(t) for a learning seminar on Galois Groups and Fundamental Groups.
- Transformation formulae and Theta Relations for a learning seminar on Theta functions, complex abelian varieties and their moduli spaces.
- The Atiyah-Janich Theorem for a learning seminar on Topological K-theory .
- The Commutativity Theorem and Segre & Chern classes of vector bundles for a learning seminar on intersection theory.
- Simply Connected Lie Groups & the Exponential Map and Representations of sl(2,C) for a learning seminar on Lie theory.
- Orientation & Integration and Stokes' theorem for a learning seminar on de Rham cohomology