Mathematics at ISTA is an open, curious community, active in research that is inspired by both purely mathematical concepts and applications in physics, computer science, and other fields.
The groups on campus have strengths in a variety of areas, including discrete and computational topology and geometry (Edelsbrunner and Wagner), mathematical physics (Erdős, Seiringer), dynamical systems (Kaloshin), stochastic analysis and partial differential equations (Fischer, Maas), algebraic geometry and representation theory (Hausel), combinatorics (Kwan) and number theory (Browning). There are regular seminars and talks, and the mathematics groups work closely with each other, as well as with groups in other fields, including computer science and biology (Barton).
COMPLETE MATHEMATICS RESEARCH GROUP DETAILS ON ISTA’S MAIN SITE:

 Evolutionary Genetics
NICK BARTON  Analytic Number Theory and Its Interfaces
TIM BROWNING  Algorithms, Computational Geometry and Computational Topology
HERBERT EDELSBRUNNER  Mathematics of Disordered Quantum Systems and Matrices
LáSZLó ERDŐS  Theory of Partial Differential Equations, Applied and Numerical Analysis
JULIAN FISCHER  Geometry and Its Interfaces
TAMAS HAUSEL
 Evolutionary Genetics
Here is a video presenting the Mathematics study track.
In case you cannot access YouTube, this video is also available here.