Mission

Mathematical Physics is a research area at the interface of theoretical physics and mathematics, which profits from a high degree of cross-fertilisation between physical intuition and mathematical rigour, benefitting both physics and mathematics.

Leipzig has a long tradition in this area, associated with names such as Werner Heisenberg, Felix Klein, Felix Bloch, Sophus Lie, Peter Debye, and Bartel van der Waerden. With the Max Planck Institute for Mathematics in the Sciences and many research groups across the University, Leipzig offers a unique research environment in Mathematical Physics.

The Center for Mathematical Physics facilitates and coordinates interdisciplinary research and teaching activities in this area at all levels: research, promotion of young researchers, graduate and undergraduate teaching. In particular, it is involved in the International Graduate School Mathematics in the Sciences (IMPRS MiS) and the international master's programme Mathematical Physics M.Sc..

It is in particular involved in the International Graduate School Mathematics in the Sciences (IMPRS MiS) and the International Master Program in Mathematical Physics.

People

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Judith Brinkschulte

Professor at Institute of Mathematics

Complex Analysis and Geometry

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Alexey Bufetov

Professor at Institute of Mathematics

Probability Theory

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Jan Burczak

Researcher at Institute of Mathematics

Fluid dynamics

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Daniela Cadamuro

Emmy-Noether Group Leader at the Institute for Theoretical Physics

Relativistic Quantum Field Theory

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Marc Casals

Research Associate at the Institute for Theoretical Physics

Quantum Field Theory in Space-Time

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Stefan Czimek

Professor at Institute of Mathematics

General Relativity

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Dejan Gajic

Professor at Institute for Theoretical Physics

Mathematical Physics

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Stefan Hollands

Professor at Institute for Theoretical Physics

Elementary Particle Physics

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Klaus Kroy

Professor at Institute for Theoretical Physics

Soft Condensed Matter Theory

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Felix Otto

Director of the Max-Planck-Institute for Mathematics in the Sciences

Pattern Formation, Energy Landscapes and Scaling Laws

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Felix Pogorzelski

Professor at Institute of Mathematics

Dynamical Systems

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Hans-Bert Rademacher

Professor at Institute of Mathematics

Differential Geometry

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Daniel Roggenkamp

Professor at the Max-Planck-Institute for Mathematics in the Sciences and the Institute for Theoretical Physics

Mathematical Structures in Physics

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Artem Sapozhnikov

Professor at Institute of Mathematics

Probability Theory, Statistical Mechanics, Graph Theory and Combinatorics

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Matthias Schwarz

Professor at Institute of Mathematics

Symplectic Geometry

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Inti Sodemann

Professor at Institute for Theoretical Physics

Quantum Condensed Matter Theory

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Bernd Sturmfels

Director of the Max Planck Institute for Mathematics in the Sciences

Nonlinear Algebra

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László Székelyhidi

Director of the Max-Planck-Institute for Mathematics in the Sciences

Applied Analysis

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Simon Telen

Research Group Leader at Max-Planck-Institute for Mathematics in the Sciences

Non-linear Algebra

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Rainer Verch

Professor at Institute for Theoretical Physics

Quantum Field Theory and Gravity

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Jürgen Vollmer

Professor at Institute for Theoretical Physics

Statistical Physics

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Max von Renesse

Professor at Institute of Mathematics

Business Mathematics and Stochastics

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Anna Wienhard

Director of the Max Planck Institute for Mathematics in the Sciences

Geometry, Groups and Dynamics

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Jochen Zahn

Research Associate at the Institute for Theoretical Physics

Quantum Field Theory in non-trivial Backgrounds

Activities

Research Seminars

Colloquium

Daniel Baumann (University of Amsterdam)
Title: Positive geometry in cosmology
Date: Tuesday 13 Feb 2024 at 16:30
Location: University of Leipzig (Theory Lecture Hall, Linnestr. 5, 04103 Leipzig)

Cosmology is famously an observational rather than an experimental science. No experimentalists were present in the early universe, and the birth and subsequent evolution of the universe cannot be repeated. Instead, we can only measure the spatial correlations between cosmological structures at late times. A central challenge of modern cosmology is to construct a consistent "history" of the universe that explains these correlations. Recently, a new bootstrap approach was developed to understand this history using physical consistency conditions alone. In this colloquium, I will explain the basic idea behind this "cosmological bootstrap". I will also describe the search for new geometrical structures, called "positive geometries", which may underlie the theory of cosmological correlations. Finding such structures is one of the central aims of the ERC Synergy Grant project UNIVERSE+. I hope to make the talk accessible to a broad audience, and will not assume any background in cosmology or particle physics.

Center for Mathematical Physics Colloquium (former)

Massimiliano Gubinelli (University of Oxford)
Title: New directions & open problems in stochastic analysis
Date: Friday 19 May 2023 at 16:00
Location: Leibniz lecture hall, MPI for Mathematics in the Sciences

Stochastic analysis makes precise the intuition that paths of Markov diffusions look like Brownian motion. The struggle for similar precision applied to a larger class of random fields led to the invention of controlled paths and regularity structures and opened the way to a new approach to Euclidean qua ntum field theory. However, despite a lot of progress, it feels that we are still at the infancy of this rich field where analysis, geometry and algebra meet with probability theory in new ways. I will try to name few problems which I think are important to our deeper understanding of these connections
Poster

Workshops

Workshops (former)

Lectures

Lectures (former)

IMPRS MiS

Leipzig hosts the International Max-Planck Research School Mathematics in the Sciences, a prestigious graduate school in mathematics focused on interdisciplinary research topics at the interface between mathematics and the sciences.

Mathematical Physics M.Sc.

The University of Leipzig offers the two-year English-language master’s programme "Mathematical Physics M.Sc.". This is an interdisciplinary programme bridging mathematics and theoretical physics. Interested students can find more information here.

Topics

Contact

  • c/o Max-Planck-Institut für Mathematik in den Naturwissenschaften
    Katharina Matschke
    Inselstr. 22, 04103 Leipzig, Sachsen