Research and teaching divisions
- Mathematics
 - Computer science
 
- Department of Algebra and Number Theory
 - Department of Algebraic and Diophantine Geometry
 - Department of Algorithm Theory and Data Security
 - Department of Arithmetic Algebraic Geometry
 - Department of Artificial Intelligence
 - Department of Discrete Mathematics
 - Department of Functional Analysis
 - Department of Function Spaces and Differential Equations
 - Department of Mathematical Analysis
 - Department of Mathematical Statistics and Data Analysis
 - Department of Non-Linear Analysis and Applied Topology
 - Department of Operator Theory
 - Algorithmics Research Unit
 - Faculty Centre for Teaching Mathematics and Computer Science
 - Logic and Philosophy of Computer Science Research Unit