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 work on problems in the intersection of algebraic number theory, representation theory, and algebraic geometry. I am broadly interested in questions connected to the Langlands program and special values of L-functions. 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
Interpolating Hodge-Tate and de Rham periods, Research in the Mathematical Sciences 5 (2018), no. 2, 5:17, 47 pp. [Journal] [arXiv]
Multivariate Rankin-Selberg integrals on GL4 and GU(2,2) (with Aaron Pollack), to appear in Canadian Mathematical Bulletin. [Journal] [arXiv]
A multivariate Rankin-Selberg integral representation on GL2×GSp4 inspired by the pullback formula (with Aaron Pollack), to appear in Transactions of the A.M.S. [Journal] [arXiv]
The spin L-function on GSp6 via a non-unique model (with Aaron Pollack), American Journal of Mathematics 140 (2018), no. 3, 753-788. [Journal] [arXiv]
On the Rankin-Selberg integral of Kohnen and Skoruppa (with Aaron Pollack), Mathematical Research Letters 24 (2017), no. 1, 173-222. [Journal] [arXiv]
On p-adic properties of twisted traces of singular moduli (with Daniel Le and Shelly Manber), International Journal of Number Theory 6 (2010), no. 3, 625-653. [Journal]
Separating models of learning with faulty teachers (with Vitaly Feldman), Theoretical Computer Science 410 (2009), no. 19, 1903-1912. [Journal]
Fall 2015: Calculus III
Fall 2016: Making and Breaking Codes
Fall 2017: Structure and Representation Theory of p-adic Reductive Groups
Spring 2018: Calculus III, Sections 3 and 4