Geometry and Physics
Where do Mathematics and Physics meet?
Here you can find some of the cuttingedge research that explores the boundary of the two subjects here at Uppsala Univeristy.
We are a group of physicists and mathematicians working at Mathematics Department and the Theoretical Physics division of the Physics Department.
Calendar
Preprints Physics
 Poincaré series for modular graph forms at depth two II. Iterated integrals of cusp forms
 Poincaré series for modular graph forms at depth two I: Seeds and Laplace systems
 Evidence for an Algebra of G2 Instantons
 The Characteristic Dimension of Fourdimensional N=2 SCFTs
 GreenSchwarz and Pure Spinor Formulations of Chiral Strings
 10D SuperYangMills Scattering Amplitudes From Its Pure Spinor Action
 Deep multitask mining CalabiYau fourfolds
Publications Math

Quasihereditary covers of higher zigzag algebras of type A
2021

Classification of higher wide subcategories for higher Auslander algebras of type A
2021

nexangulated categories (I): Definitions and fundamental properties
2021

Simple supermodules over lie superalgebras
2021

dZCluster tilting subcategories of singularity categories
2021

On Legendrian products and twist spuns
2021

Incidence category of the Young lattice, injections between finite sets, and Koszulity
2021
About us
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 Jones polynomial in knot theory, the advances in low dimensional topology and the recent progress in 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 research in Geometry and Physics at our departments regards the following areas:

Contact geometry and supersymmetric theories

Enumerative geometry, representaiton theory, and correspondences

Symplectic geometry and topological strings

Symplectic geometry and physics interactions with lowdimensional topology

Higher structures in quantum field theories and their interplay with geometry