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.

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Contact Details

Email address: arshay.sheth@warwick.ac.uk 

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Teaching

• 2021/2022 Term 2: Teaching assistant for MA257 Introduction to Number Theory .
• 2021/2022 Term 1: Teaching assistant for MA3A6 Algebraic Number Theory.

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Writings

Theses:

• Masters thesis: The Brumer-Stark Conjecture
• Undergraduate thesis: Local Class Field Theory 

Expository articles:

• The Kronecker-Weber Theorem
• Fractal Geometry with Applications

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