Research interests of employees reflects the structure of the Faculty. Since the Statute of AGH-UST forces relatively large departments, division of departments in addition to "groups" were introduced. At the departments and the groups operate so-called "research groups" focusing people working on close issues.
Department of Mathematical Analysis, Computational Mathematics and Probabilistic Methods is divided into two groups: Group of Mathematical Analysis and Group of Computational Mathematics and Probabilistic Methods.
Within the Group of Mathematical Analysis there are two research groups:
- research group "Functional Analysis" ,
The scientific activity of the Group of Computational Mathematics and Probabilistic Methods concentrates on the following two areas:
- computational mathematics ,
Employees of the Group also deal with the application of mathematics in other sciences, in particular, use of numerical methods for solving complex engineering problems and applications of statistical methods in biological and medical sciences. Within the Group of Computational Mathematics and Probabilistic Methods, research group "Computational Complexity of Continuouity" works.
Scientific activities of employees of the Department of Discrete Mathematics applies to discrete mathematics with particular emphasis on: theory of graphs, combinatorics and theoretical computer science .
Within the Department of Discrete Mathematics, there are two research groups: research group "Combinatorial Analysis" and research group "Theory of Graphs" with a non-empty intersection of areas of interest.
The scientific activity of employees of the Department of Financial Mathematics is manifested mainly in the works of: research group "Stochastic Control in Finance" .
- research group "Differential Equations and Dynamical Systems", which deals with analytical, qualitative and numerical studies of
differential equations and dynamical systems
Within the Department of Differential Equations, there are two research groups:
- research group "Differential Geometry" that studies issues of differential geometry ,
More details on the scientific interests of employees of the Faculty provides publication list of employees (which included works published since 2001) and seminars held at the Faculty, and conferences, the Faculty has organized or co-organized.