Geometry and Physics
Where do Mathematics and Physics meet?
Here you can find some of the cutting-edge 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 Department of Physics and Astronomy.
Calendar
Preprints Physics
- Evaluation of multi-loop multi-scale Feynman integrals for precision physics
- OPE coefficients in Argyres-Douglas theories
- Index of the Transversally Elliptic Complex in Pestunization
- Off-Shell Color-Kinematics Duality for Chern-Simons
- Maximal Super-Yang-Mills at Six Loops via Novel Integrand Bootstrap
- Quadratic-in-spin interactions at the fifth post-Newtonian order probe new physics
- Kinematic Hopf Algebra for BCJ Numerators in Heavy-Mass Effective Field Theory and Yang–Mills Theory
Publications Math
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Essential orders on stratified algebras with duality and S-subcategories in O
2022
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On decomposing monomial algebras with the Lefschetz properties
2022
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Axiomatizing subcategories of Abelian categories
2022
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On Simple Transitive 2-representations of Bimodules over the Dual Numbers
2022
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Quasi-hereditary covers of higher zigzag algebras of type A
2021
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Classification of higher wide subcategories for higher Auslander algebras of type A
2021
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n-exangulated 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 Seiberg-Witten theory of four-manifolds, the discovery of Mirror Symmetry and Gromov-Witten 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, K-theory and Calabi-Yau manifolds.
The main focus of the research in Geometry and Physics at our departments regards the following areas:
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Contact geometry and supersymmetric theories
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Enumerative geometry, representaiton theory, and correspondences
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Symplectic geometry and topological strings
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Symplectic geometry and physics interactions with low-dimensional topology
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Higher structures in quantum field theories and their interplay with geometry