Geometry, Topology and Physics

Project leader: Rahul Pandharipande (ETH Zurich)
Participants:
Anton Alekseev (University of Geneva)
Anna Beliakova (University of Zurich)
Alberto Cattaneo (University of Zurich)
Giovanni Felder (ETH Zurich)
Jürg Fröhlich (ETH Zurich)
Rinat Kashaev (University of Geneva)
Marcos Mariño (University of Geneva)
Grigory Mikhalkin (University of Geneva)
Rahul Pandharipande (ETH Zurich)
Tudor Ratiu (EPFL)
Andras Szenes (University of Geneva)
Maryna Viazovska (EPFL)
Thomas Willwacher (University of Zurich)

Geometry and physics are two inherently intertwined fundamental scientific disciplines. From optics to aerodynamics and relativity theory, their fruitful interaction gave birth to foundations of human knowledge. Geometry, Topology and Physics group consists of researchers working in modern and classical areas of geometry, such as enumerative algebraic geometry, knot theory, deformation theory, tropical and symplectic geometry, which are linked to string theory, quantum field theory, classical mechanics, etc. on the physics side.

The main research topics are: knot picture

  • Quantum topology
  • Enumerative theory of sheaves
  • Tropical geometry, knot theory and strings
  • Deformation theory of algebras

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