Shrenik N. Shah
I am a Ritt Assistant Professor in the Mathematics Department at Columbia University. I received my Ph.D. in 2014 from Princeton University under the supervision of Christopher Skinner.
I am broadly interested in the Langlands program and conjectures on special values of Lfunctions. My work develops and utilizes techniques including the RankinSelberg method, padic families of automorphic forms, and padic Hodge theory. Recently I have been interested in proving cases of Beilinson's conjecture on Archimedean regulators and exploring applications to Euler systems and Iwasawa theory.
Email: snshah at math dot columbia dot edu
Curriculum vitae
Preprints
Submitted articles
Publications

Multivariable RankinSelberg integrals on GL_{4} and GU(2,2) (with Aaron Pollack), to appear in Canadian Mathematical Bulletin. [Journal] [arXiv]

A multivariate RankinSelberg integral representation on GL_{2}×GSp_{4} inspired by the pullback formula (with Aaron Pollack), to appear in Transactions of the A.M.S. [Journal] [arXiv]

The spin Lfunction on GSp_{6} via a nonunique model (with Aaron Pollack), to appear in American Journal of Mathematics. [Journal] [arXiv]

On the RankinSelberg integral of Kohnen and Skoruppa (with Aaron Pollack), Mathematical Research Letters 24 (2017), no. 1, 173222. [Journal] [arXiv]

On padic properties of twisted traces of singular moduli (with Daniel Le and Shelly Manber), International Journal of Number Theory 6 (2010), no. 3, 625653. [Journal]

Separating models of learning with faulty teachers (with Vitaly Feldman), Theoretical Computer Science 410 (2009), no. 19, 19031912. [Journal]
Miscellany
Teaching
Fall 2015: Calculus III
Fall 2016: Making and Breaking Codes
Fall 2017: Structure and Representation Theory of padic Reductive Groups
Spring 2018: Calculus III, Sections 3 and 4