What I do
I conduct research in a variety of interconnected mathematical disciplines and also teach undergraduate and graduate students.
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.
- Ph.D., Rutgers University, 2015
- MS, Mathematics and Scientific Computing, Indian Institute of Technology Kanpur, 2009
- American Mathematical Society
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.
- Staircases to analytic sum-sides for many new integer partition identities of Rogers-Ramanujan type
- IdentityFinder and some new identities of Rogers-Ramanujan type
- Rogers-Ramanujan-type identities and asymptotics
- Tensor categories for vertex operator algebra extensions
- Working with vertex tensor categories
- Some new q-series conjectures
- Vertex Tensor Categories
- Endeavour Research Fellowship 2017, Department of Education and Training, Australian Government