Home Page of R. Venkatesh
##
R. Venkatesh

Welcome to my homepage. I am an *Assistant Professor* in the Department of Mathematics,
Indian Institute of Science, Bangalore.

### Publications / Preprints

- R. Venkatesh, Sankaran Viswanath.
*Unique factorization of tensor products for Kac-Moody algebras. * Adv. Math. 231 (2012), no. 6, 3162--3171.
(arXiv version)
- Vyjayanthi Chari, R. Venkatesh.
*Demazure Modules, fusion Products and Q-systems. *
Commun. Math. Phys. 333, 799--830, 2015.
(arXiv version)
- R. Venkatesh, Sankaran Viswanath.
* Chromatic polynomials of graphs from Kac-Moody
algebras. * J. Algebraic Combin. 41(4), 1133--1142, 2015.
(arXiv version)
- R. Venkatesh.
*Fusion product structure of Demazure modules. * Algebr. Represent. Theory.
18(2), 307--321, 2015.
(arXiv version)
- Deniz Kus, R. Venkatesh.
* Twisted Demazure modules, fusion product decomposition and
twisted Q-systems. * Represent. Theory. Volume 20, Pages 94--127, 2016.
(arXiv version)
- Vyjayanthi Chari, Peri Shereen, Jeffrey Wand, R. Venkatesh.
* A Steinberg type decompo-
sition theorem for higher level Demazure modules. * J. Algebra. 455, 314--346,
2016.
(arXiv version)
- G. Arunkumar, Deniz Kus, R. Venkatesh.
* Root multiplicities for Borcherds algebras and
graph coloring. * J. Algebra. 499, 538--569,
2018.
(arXiv version)
- Krishanu Roy, R. Venkatesh.
* Maximal closed subroot systems of affine root systems.
* arXiv:1707.07981.
(arXiv version)
- Deniz Kus, R. Venkatesh.
* Borel--de Siebenthal theory for affine reflection systems.
* arXiv:1807.03536.
(arXiv version)
- Shifra Reif, R. Venkatesh.
* On tensor products of irreducible integrable representations.* In preparation.

### Contact

**Email:** * rvenkat@iisc.ac.in*

**Office address:**

*Room No. X-01 *

Department of Mathematics

Indian Institute of Science

CV Raman Road

Devasandra Layout

Bangalore 560012.