The following research groups in mathematics are currently represented at ISTA:

Mathematical Models of Evolution
Nick Barton
Analytic Number Theory and Its Interfaces
Tim Browning
Algorithms, Computational Geometry and Topology
Herbert Edelsbrunner
Mathematical Physics and Probability
Laszlo Erdös
Theory of Partial Differential Equations, Applied and Numerical Analysis
Julian Fischer
Geometry and its Interfaces
Tamás Hausel
Dynamical Systems, Celestial Mechanics, and Spectral Rigiditiy
Vadim Kaloshin
Combinatorics and Probability
Matthew Kwan
Stochastic Analysis
Jan Maas
Mathematical Physics
Robert Seiringer
Discrete and Computational Geometry and Topology
Uli Wagner