Topology, Algebra, Analysis and Geometry
Our group conducts research within a broad spectrum of pure mathematics, with particular emphasis on the theory related to quantum phenomena. Research in pure mathematics forms the theoretical framework within which we can build models to better understand the world around us, and new mathematical developments are therefore paramount for our ability to unravel the mysteries of the universe as well as for further technological advances. At the moment, phenomena taking place at the quantum scale are still missing a satisfactory mathematical underpinning, and our research group is investigating numerous different aspects of this overarching problem. Among our main fields of expertise are quantum topology, moduli space theory, operator algebras, geometric quantization, cluster algebras, non-commutative geometry and symplectic geometry.
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