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Research
# Algebra, Geometry and Mathematical Physics

The barycentre of the Algebra, Geometry and Mathematical Physics research programme at KdVI lies in the dynamic area of mathematics where algebra and geometry are in strong interaction.

One part of the dynamics of this area comes from new developments in pure mathematics, the other from developments in mathematical physics, especially string theory, which has supplied a new intuition for developing mathematical ideas. The programme covers a wide area ranging from algebraic and arithmetic geometry, harmonic analysis on algebraic groups and random matrix theory to integrable systems and string theory.

The programme can be best described by two unifying characteristics: the first is the interplay of algebra and geometry; the second is the fact that many developments in sub-fields of our theme, such as quantum groups, moduli spaces and non-commutative geometry, were inspired or influenced by recent developments in mathematical physics, while intuition from physics is partially used as a tool to develop mathematics.

Core areas of interest are algebraic groups, algebraic geometry, quantum groups and string theory.

- Algebra and Geometry; project leaders: Prof. Lenny Taelman
- Representation Theory and Discrete Mathematics: Prof. Jasper Stokman and Prof. Eric Opdam
- Mathematical Physics; project leaders: Prof. Sergey Shadrin