Research

My research interests are in number theory. More specifically my work involves Diophantine equations, p-adic and algebraic number theory.
I am also interested in the theory of Quadratic forms.

CV (.pdf)

Publications
  1. The 21 Card Trick and its Generalization, arXiv.org:1809.04072
  2. On the Diophantine Equation p^x + p^y = z^(2n), arXiv:1709.01814
  3. (with David Leep) The Poincaré series of a diagonal polynomial., Preprint, Abstract(.pdf)
  4. (with David Leep) Powers in complete discrete valuation rings., Preprint, Abstract(.pdf)
  5.  Diagonal forms and the rationality of the Poincaré series, PhD. thesis, University of Kentucky, 2010.    

My Mathematical Ancestry Tree

I also organize the OIT Mathematics Colloquium. We are always looking for speakers. If you are interested in giving a talk, then please
contact me.