## Siddharth Venkatesh

I am a Hedrick Assistant Adjunct Professor in the math department at UCLA. My postdoctoral mentor is Raphael Rouquier. My research interests are in representation theory, algebraic geometry and category theory. My PHD thesis involved the study of group schemes and Lie algebras in symmetric tensor categories in positive characteristic, with the case of the Verlinde category being of particular interest.I am also working on problems related to D-modules on quiver varieties. Here is my CV .

## Education

Ph.D. in Mathematics, Massachusetts Institute of Technology, 2019, under Pavel Etingof .

B.A. in Mathematics with highest honors, University of California, Berkeley, 2014.

## Teaching

Fall 2019: I will be teaching Math 32A (multivariable calculus) Lectures 3 and 5. Here is the course outline .

Syllabus for Lecture 3.

Syllabus for Lecture 5.

## Research Papers (abstracts)

General Linear groups in the Verlinde Category (in preparation)

$D$-modules on the cyclic quiver and representations of the cyclotomic rational Cherednik algebra (in preparation, link to work in progress )

Harish-Chandra pairs in the Verlinde category in positive characteristic (arXiv )

Computations in symmetric fusion categories in characteristic $p$ (with P. Etingof and V. Ostrik), Int. Math. Res. Not. (2017). (arXiv)

Hilbert basis theorem and finite generation of invariants in symmetric tensor categories in positive characteristic, Int. Math. Res. Not. (2016). (arXiv)

Semigroup Conjectures for Central Semidirect Product of $\mathbb{R}^n$ with $\mathbb{R}^m$ (with K. Lui and V. Nitica), Topology Proc. (2015). (arXiv)

## Expository Seminar Talks

On Atiyah and Segal's "Equivariant K-Theory and Completion" , Kan Seminar (Fall 2015)

On Thom's "Quelques Propriétés" , Kan Seminar (Fall 2015)

## Research papers of students I've mentored

Laura Pierson PRIMES-USA 2016 , Stability properties of signatures of $S_{n}$-representations (project won 6th place at Regeneron STS 2017).

Mrudul Thatte UROP+ 2016 , Stability properties of signatures of $GL_{N}$-representations

Yutao Liu UROP+ 2016 , Minimal cell structures for $G-CW$ complexes

Saarik Kalia UROP+ 2015 , Signatures of representations of cyclotomic Hecke algebras and rational Cherednik algebras

Girishwar Venkat PRIMES-USA 2015 , Signatures of representations of cyclotomic Hecke algebras and rational Cherednik algebras

## Contact

Department of Mathematics
Massachusetts Institute of Technology
Building 2
77 Massachusetts Avenue
Cambridge, MA-02139
sidnv [at] mit [dot] edu