Teaching Research Activities Math Jokes Resources and Others

Research at LSU:

I am working under the guidance of Professor Milen Yakimov.  My main interests lie in representation theory of algebras, noncommutative algebras, quantum groups, and Poisson geometry.

Currently, one of my projects concerns with computing noncommutative discriminants of quantum groups using tools from Poisson geometry, representation theory, and Lie theory. This is

a joint work with Kurt Trampel and Milen Yakimov. In addition, I am investigating quantum cluster algebra structures on various classes of (almost) quantum nilpotent algebra using method

developed by Ken Goodearl and Milen Yakimov.

Preprints and Publications:

  1. Noncommutative discriminants via Poisson primes (with Kurt Trampel and Milen Yakimov), Adv. Math. 322 (2017), 269-307., arXiv:1603.02585.

  2. Distances from the vertices of a regular simplex (with Mowaffag Hajja, Mostafa Hayajneh, and Shadi Shaqaqha), Results in Mathematics, 2017, DOI: 10.1007/s00025-017-0689-1, arXiv:1609.06552.

  3. Irreducibility of the Cayley-Menger determinant, and of a class of related polynomials (with Mowaffag Hajja, Mostafa Hayajneh, and Shadi Shaqaqha), to appear in Beitr. Algebra Geom., arXiv:1701.00407

Hom(K[T]/(S), K)<-->Sol(S;K)