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 Lfunctions. 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

Interpolating HodgeTate and de Rham periods, Research in the Mathematical Sciences 5 (2018), no. 2, 5:17, 47 pp. [Journal] [arXiv]

Multivariate 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), American Journal of Mathematics 140 (2018), no. 3, 753788. [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