### Research

Analytical number theory: Selberg trace formulas, Selberg zeta-functions, modular forms, Hecke operators, computational number theory; Fuchsian and Kleinian groups, arithmetic groups; Data Mining#### Mathematics Papers

- PhD thesis: The Selberg trace formula and Selberg zeta-function for confinite Kleinian Groups with finite-dimensional unitary representations. (math.NT/0612807)
- The Selberg trace formula and Selberg zeta-function for confinite Kleinian Groups with finite-dimensional unitary representations. Math. Z. Volume 250, Number 4 / August, 2005 (SpringerLink - Journal Article) [math/0410067]
- The regularized determinant of the Laplace operator for confinite Kleinian Groups with finite-dimensional unitary representations. Communications in Mathematical Physics Volume 275, Number 3 / November, 2007 (math.NT/0605288)
- Analogues of the Artin factorization formula for the automorphic scattering matrix and Selberg zeta-function associated to a Kleinian group. (Proceedings of the American Mathematical Society Volume 136, Number 10, October 2008). (Journal Link) (math.NT/0702030)
- An effective bound for the Huber constant for cofinite Fuchsian groups, with Jay Jorgenson and Jurg Kramer (Journal Link) (arXiv:1003.1652) Published in Math. Comp. 80 (2011), 1163-1196
- Uniform sup-norm bounds on average for cusp forms of higher weights, with Jay Jorgenson and Jurg Kramer Journal Link (arXiv:1305.1348) Published in ( Ballmann W., Blohmann C., Faltings G., Teichner P., Zagier D. (eds) Arbeitstagung Bonn 2013. Progress in Mathematics, vol 319. Birkhauser, Cham)
- On the minimal distance between elliptic fixed points for geometrically finite Fuchsian groups (2016) Journal Link (arXiv:1406.5028) Published in International Journal of Number Theory 12 (06), 1663-1668
- Superzeta functions, regularized products, and the Selberg zeta function on hyperbolic manifolds with cusps (2018) Accepted at Contemporary Mathematics (AMS) with Jay Jorgenson, Lejla Smajlovic (arXiv:1701.06869)
- The determinant of the Lax-Phillips scattering operator with Jay Jorgenson, Lejla Smajlovic (submitted ) (arXiv:1603.07613)
- Effective sup-norm bounds on average for cusp forms of even weight with Jay Jorgenson and Jurg Kramer (submitted ) (arXiv:1801.05740)

#### Artificial Intelligence and Operations Research Papers

- Automated timetabling for small colleges and high schools using huge integer programs (Submitted) (arXiv:1612.08777)

#### Unpublished Preprints

- The Selberg trace formula for Hecke operators on cocompact Kleinian groups (arXiv:0710.5787)
- An evaluation of the central value of the automorphic scattering determinant with Jay Jorgenson and Lejla Smajlovic (arXiv:1607.08053)

### Current Math Courses

Calculus One and Two: Single variable calculus, differentiation, integration, infinite series.

Differential Equations: Ordinary diffEQs, Fourier series, Boundary value problems.

Probability and Statistics: Calculus and non-calculus based approaches.

Operations research, linear programming, transportation problems, network problems, stochastic models, queuing theory

An Introduction to Python and Artificial Intelligence: Neural networks