| Research Topic(s) Group | Faculty Members |
| Combinatorics and Discrete Algorithms | Odlyzko, Pak, Reiner |
| Communications Systems | Odlyzko, Zeitouni |
| Computer Vision / Image Processing / Large Data Sets | Lerman, Nguyen, Olver |
| Cryptography | Odlyzko |
| Dynamical Systems | McGehee, Moeckel, Polacik, Scheel, Sell |
| Fluid Dynamics | Calderer, Cockburn, Luskin, Mori, Sell, Spirn, Stinis, Sverak |
| Inverse Problems | Nguyen, Santosa |
| Materials Science and Continuum Mechanics | Arnold, Calderer, Luskin, Mayaboroda, Nguyen, Olver, Othmer, Reitich, Spirn, Sverak |
| Mathematical Biology and Bioinformatics | Foo, Lerman, Luskin, McGehee, Mori, Ni, Nykamp, Othmer, Polacik |
| Scientific Computing / Numerical Analysis | Arnold, Cockburn, Luskin, Mori, Nguyen, Olver, Reitich, Stinis |
| Stochastic Methods | Bramson, Gray, Krylov, Pak, Zeitouni |
| Waves and Scattering | Arnold, Cockburn, Keel, Mayaboroda, Nguyen, Reitich, Santosa, Scheel |