Geometry and Physics
Welcome to the official webpage of the “Geometry and Physics” project funded by the Knut and Alice Wallenberg Foundation.
Seminars
 Unfortunately there are no upcoming events at this time
Publications
 Cells and 2representations of bimodules over Nakayama algebras. 2020
 Properties of powers of monomial ideals. 2019
 AllOrder Amplitudes at any Multiplicity in the MultiRegge Limit. 2020
 Conformal nPoint Functions in Momentum Space. 2020
 On Simple Transitive 2representations of Bimodules over the Dual Numbers.
 Cell Structure of Bimodules over Radical Square Zero Nakayama Algebras. 2020
 The information paraxod, a modern review. 2020
 Constructions of ncluster tilting subcategories using representationdirected algebras. 2020
 Category O for Takiff sl(2). 2019
 Composite operators near the boundary. 2020
About the "Geometry and Physics" project
In the last twenty years, thanks to the prominent role of string theory, the interaction between mathematics and physics has led to significant progress in both subjects. String theory, as well as quantum field theory, has contributed to a series of profound ideas which gave rise to entirely new mathematical fields and revitalized older ones.
From a mathematical perspective some examples of this fruitful interaction are the SeibergWitten theory of fourmanifolds, the discovery of Mirror Symmetry and GromovWitten theory in algebraic geometry, the study of the Jones polynomial in knot theory, the advances in low dimensional topology and the recent progress in the geometric Langlands program.
From a physical point of view, mathematics has provided physicists with powerful tools to develop their research. To name a few examples, index theorems of differential operators, toric geometry, Ktheory and CalabiYau manifolds.
The main focus of the “Geometry and Physics” project regards the following areas:

Contact geometry and supersymmetric gauge theories.

Symplectic geometry and topological strings.

Symplectic geometry and physics interactions with lowdimensional topology.