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
