# Hyperbolic Lattice Points

Specialeforsvar: Nicolas Arnvig

Titel: Hyperbolic Lattice Points, Cartan’s decompostion and Equidistribution modulo 1

Abstract: This thesis presents an overview of the basic theory of hyperbolic geometry and hyperbolic lattices, followed by a brief introduction to the general theory of equidistribution. We then discuss known results on the equidistribution of angles in hyperbolic lattices, and use this theory to conduct experimental investigations into the hyperbolic Lattice Counting problem and the equidistribution of angles in some subsets $\SL(2,\mZ)$.

Vejleder:  Morten S. Risager
censor:    Jimi Lee Truelsen,  Nordea