The following four research groups are active at the Department of Mathematics, FNSPE CTU in Prague:
- GAMS - The Group of Applied Mathematics and Stochastics is engaged in the study of physical, biological and social systems, employing methods from mathematical statistics, mathematical analysis and probability theory. Its work primarily includes statistical data analysis, the formulation of theoretical transport models and the search for corresponding analytical solutions, mathematical methods in defectoscopy, small area estimation in social domains, the study of so-called Φ-divergences, mathematical models of pedestrian movement, models of panic, and more.
- MAFIA - The Methods of Algebra and Functional Analysis in Applications group conducts research in the field of mathematical physics. It focuses primarily on problems that are of interest from both the mathematical and the physical perspective. The main research topics include Lie and Hopf algebras, linear operators in Hilbert spaces, integrable systems, solvable models in quantum physics, time-dependent systems and perturbation methods in classical and quantum mechanics.
- MMG - The Mathematical Modelling Group is engaged in mathematical modelling and numerical simulations of complex phenomena in high-tech design, environmental protection and computer science. The group participates in research and development as well as in the training of young experts in mathematical engineering. It collaborates successfully with prestigious universities and institutes as well as with industrial companies worldwide.
- TIGR - The Theoretical Informatics Group addresses current topics in discrete mathematics with applications in informatics and physics, such as non-standard representations of real numbers, combinatorics on words and aperiodic tilings of space. At present, the group's main focus is on combinatorial, algebraic and number-theoretic problems with applications in theoretical informatics.