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. Our research is currently funded via the ERC Synergy Grant ReNewQuantum as well as several research grants from the Independent Research Fund Denmark, Novo Nordisk Foundation, Danish National Research Foundation.
External funding and ongoing projects
VILLUM Young Investigator, New invariants in low-dimensional topology via quantum field theory, 2022-2027, DKK 6 million, D. Pei (PI).
Simons Collaboration grant, New structures in Low-dimensional topology, 2022-2026, USD 8 million, J.E. Andersen (PI) in collaboration with several Ivy League universities in the USA.
VILLUM Investigator, Mathematics of the topological open string, 2021-2027, DKK 25 million, V. Shende (PI)
NOVO Starting Package Applications of knot invariants/microlocal sheaf theory in macromolecular folding/topological data analysis applicable to biomedicine, 2021-2025, DKK 6 million, V. Shende (PI)
DNRF Chair for Vivek Shende, 2021-2024, DKK 8 million, V. Shende (PI)
EU-ERC Synergy Grant, 'Recursive and Exact New Quantum Theory (ReNewQuantum), 2019-2025, EUR 10 million, J.E. Andersen (PI) in collaboration with Institut des Hautes Études Scientifiques, University of Geneva & Institut de Physique Théorique, CEA Saclay.
DFF-Research Project 1, Classical and Quantum Distances, 2019-2022, DKK 2,3 million, D. Kyed (PI) and J. Kaad (co-PI).
DFF-Research Project 2, Automorphisms and invariants of operator algebras, 2017-2021, DKK 5,5 million, W. Szymanski (PI), D. Kyed (AI), J. Kaad (AI), in collaboration with Copenhagen University and Aarhus University.