The main active research areas in our Department of Mathematics are:

• algebraic and complex geometry
• algebraic number theory and arithmetic geometry
• analytic, ergodic and probabilistic number theory
• commutative algebra, computer algebra and cryptography
• geometrical methods in physical theories
• harmonic and functional analysis
• inverse problems
• machine learning and optimization
• mathematics education
• mathematical logic and category theory
• mathematical aspects of quantum mechanics and algebraic quantum field theory
• noncommutative derived geometry and mathematical physics
• numerical analysis and computational methods with applications in medical imaging, neurosciences and astrophysics 
• partial differential equations, calculus of variations and optimal transport
• probability and mathematical statistics

You can explore the department's research page for more information.