- Lecturer at the Department of Mathematics and Computer Science, Vilnius University.

**Study of the properties of zeta-functions (project code: 09.3.3-LMT-K-712-02-0088)**

During the course of the project, we will study the distribution of the a-values of zeta-functions as well as their universality. A-values of a function are numbers in its domain such that the function maps them to the value a in its range. The functions we study are complex-valued and their domain is the complex plane. Thus for a fixed a from the complex plane, the a-values of a zeta-function are certain points in the complex plane. We study both the horizontal and the vertical distribution of a-values. We expect that the majority of the a-values we study are clustered around the critical axis and their imaginary parts are uniformly distributed modulo 1. The universality of a zeta-function means that any non-vanishing analytic function can be arbitrarily approximated by certain shifts in the zeta-function.

- History and Philosophy of Mathematics
- Selected Topics in Complex Analysis (Modular Forms, practice classes)
- Internet Technologies
- Computer Programming (practice classes)

- Java Technologies
- Selected Topics in Complex Analysis (Modular Forms, practice classes)
- Algebra II (practice classes)
- Selected Topics in Functional Analysis
- Process Theory (practice classes)

- PhD in Mathematics, Vilnius University, 2016.
- MSc. in Mathematics, Vilnius University,
*magna cum laude*, 2012. - BSc. in Mathematics, Vilnius University,
*cum laude*, 2010. - Political Science, Washington University in St. Louis (unfinished).
- BSc. in Computer Science (major) and Philosophy (minor), Creighton University,
*summa cum laude*, 2004.

- Analytic Number Theory
- Foundations of Mathematics

- On the distribution of the
*a*-values of the Selberg zeta-function associated to finite volume Riemann surfaces.*J. Number Theory*, 173:64-86 (with Ramūnas Garunkštis). - On the Speiser equivalent for the Riemann hypothesis.
*Eur. J. Math.*, 1(2):337-350, 2015 (with Ramūnas Garunkštis). - The
*a*-points of the Selberg zeta-function are distributed uniformly modulo one.*Illinois J. Math.*, 58(1):207-218, 2014 (with Ramūnas Garunkštis and Jörn Steuding). - The
*a*-values of the Selberg zeta-function.*Lith. Math. J.*, 52(2):145-154, 2012 (with Ramūnas Garunkštis). - Russell’s paradox and ways to solve it.
*Mathematics and Mathematical Modeling*, 5:11-18, 2009. - Applying fuzzy set theory to comparative politics. In Terry D. Clark, Jennifer M. Larson, John N. Mordeson, Joshua D. Potter, Mark J. Wierman,
*Applying Fuzzy Mathematics to Comparative Politics*, 1-27, Berlin Heidelberg: Springer, 2008 (with Terry D. Clark). - The Kantian paradox,
*Missouri Valley Journal of Social Science*, 6(1):1-6, 2002.

- Zero free regions of the derivative of the Lerch zeta-function,
*Vilnius Conference in Combinatorics and Number Theory*, Vilnius University, Vilnius, Lithuania, July 16-22, 2017 - On the distribution of the
*a*-values of the Selberg zeta-function,*5th International Conference on Uniform Distribution Theory*, University of West Hungary, Sopron, Hungary, July 5-8, 2016. - On the distribution of the
*a*-values of the Selberg zeta-function,*57th Lithuanian Mathematical Society Conference*, Vilnius Gediminas University of Technology, Vilnius, Lithuania, June 20-21, 2016. - Research school on
*L*-functions and Automorphic Forms, Heidelberg University, Heidelberg, Germany, February 17-26, 2016. - Research school on Analytic Number Theory and Diophantine Geometry, Hannover University, Hannover, Germany, September 7-11, 2015.
- Research school on Galois Theory and Number Theory, Konstanz University, Konstanz, Germany, July 18-24, 2015.
- On the zeros of the extended Selberg class functions and of their derivatives,
*56th Lithuanian Mathematical Society Conference*, Kaunas University of Technology, Kaunas, Lithuania, June 16-17, 2015. - Visit at Würzburg University, Würzburg, Germany, November 24-30, 2014.
- On the zeros of the extended Selberg class functions and of their derivatives,
*27th Journées Arithmétiques*, Vilnius University, Vilnius, Lithuania, June 27-July 1, 2011.