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 University.
We are a group of physicists and mathematicians working at Mathematics Department and the Theoretical Physics division of the Department of Physics and Astronomy.
Calendar

GT seminar: "Homotopy rigidity of nearby Lagrangian cocores"

Theoretical Physics Seminar: Xin Wang

Theoretical Physics Seminar: Vincent Menet

GT seminar: "A cohomological formula for Reidemeister torsion"

Inauguration of the Centre for Geometry and Physics with lecture by honorary doctorate Nikita Nekrasov
Preprints Physics
 Evaluation of multiloop multiscale Feynman integrals for precision physics
 OPE coefficients in ArgyresDouglas theories
 Index of the Transversally Elliptic Complex in Pestunization
 OffShell ColorKinematics Duality for ChernSimons
 Maximal SuperYangMills at Six Loops via Novel Integrand Bootstrap
 Quadraticinspin interactions at the fifth postNewtonian order probe new physics
 Kinematic Hopf Algebra for BCJ Numerators in HeavyMass Effective Field Theory and Yang–Mills Theory
Publications Math

Essential orders on stratified algebras with duality and Ssubcategories in O
2022

On decomposing monomial algebras with the Lefschetz properties
2022

Axiomatizing subcategories of Abelian categories
2022

On Simple Transitive 2representations of Bimodules over the Dual Numbers
2022

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
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