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 |