Research focus
Pure Mathematics is a vast area of research that includes many subfields. Among the main directions that are represented in our department are the following.
Algebraic and Arithmetic Geometry
Abelian Varieties, Algebraic Curves, Algebraic Geometry in positive characteristic, Cohomology Theories, Elliptic Curves, Moduli Spaces, Rational Points, Vector Bundles and their moduli, theory of Motives.
Algebraic Topology
Algebraic K-Theory, (Higher) Category Theory, (Equivariant) Homotopy Theory, Structured Ring Spectra.
Algebraic Geometry and Algebraic Topology group
Differential Geometry
Lorentzian Geometry, Metric Geometry, Riemannian Geometry.
Logic and Computer Algebra
Computability, Computer Algebra, Connections to Theoretical Computer Science.
Number Theory
Continued Fractions, Diophantine Approximations, Modular Forms, Zeta Functions
Representation Theory and Lie Theory
Algebraic Groups and their representations, Hecke Algebras, Langlands programme.