# Shashank Kanade

## Associate Professor

303-871-3199 (Office)

Clarence M. Knudson Hall, 2390 S. York St. Denver, CO 80210

### What I do

I conduct research in a variety of interconnected mathematical disciplines and also teach undergraduate and graduate students.### Specialization(s)

algebra, number theory, experimental mathematics

### Professional Biography

I obtained my PhD from Rutgers University in 2015, after which I conducted research at University of Alberta as a post-doc funded by a post-doctoral fellowship awarded by Pacific Institute for Mathematical Sciences. I also spent 4 months at the University of Melbourne, where I was funded by Australian government's Endeavour Research Fellowship. I joined DU in Sept. 2017 as an Assistant Professor. My research interests fall broadly under the fields of algebra and number theory.

### Degree(s)

- Ph.D., Rutgers University, 2015
- MS, Mathematics and Scientific Computing, Indian Institute of Technology Kanpur, 2009

### Professional Affiliations

- American Mathematical Society

### Research

My current research interests lie in the interconnected areas of representation theory and number theory. Specifically, I am interested in problems related to Lie algebras and vertex operator algebras. These structures are related to conformal field theory in mathematical physics.

#### Areas of Research

Vertex operator algebras,
Integer partition identities

Tensor categories

### Featured Publications

(2018). Representation theory of $L_k (osp(1|2))$ from vertex tensor categories and Jacobi forms . Proceedings of the American Mathematical Society, 146(11).

. (2015). IdentityFinder and some new identities of Rogers-Ramanujan type. Experimental Mathematics, 24(4), 419-423.

. ### Presentations

(2018). Rogers-Ramanujan-type identities and asymptotics . Workshop on Volume Conjecture and related topics in Knot Theory . Pune, India.

. (2018). Tensor categories for vertex operator algebra extensions. Algebraic methods in mathematical physics. Centre de Recherche Mathematiques, University of Montreal.

. (2018). Working with vertex tensor categories. Vertex operator algebras and conformal field theory. Research Institute for Mathematical Sciences, Kyoto University.

. (2018). Some new q-series conjectures. Modular Forms and Quantum Knot Invariants . Banff International Research Station.

. (2017). Vertex Tensor Categories. Tensor Categories and Field Theory. University of Melbourne, Australia.

. ### Awards

- Endeavour Research Fellowship 2017, Department of Education and Training, Australian Government