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Fundamental questions arising from natural and engineering sciences and economics have always inspired mathematicians to search for new mathematical structures and methods. The interaction between mathematics and the sciences forms the central point of research at the Max Planck Institute for Mathematics in the Sciences (MiS) in Leipzig.
The International Max Planck Research School Mathematics in the Sciences (IMPRS MiS), supported by the Research Academy Leipzig is a joint activity of three departments - Institute of Mathematics, Institute of Computer Science and Institute of Physics and Earth Science - of the University of Leipzig, and the Max Planck Institute for Mathematics in the Sciences. It leads interested graduate students towards research problems in physical and life sciences. This involves a broad range of mathematical fields, including geometry, partial differential equations and functional analysis, stochastics, and discrete mathematics. Specific subject areas are:
- Applied Algebra, Algebraic Statistics, and Combinatorics
- Complex Systems in Economics, Evolutionary Processes, and Neurobiology
- Geometric and Functional Analytic Methods in Mathematical Physics
- Partial Differential Equations and Continuum Physics
- Quantum Field Theory, Particle Physics
- Riemannian, Algebraic, and Symplectic Geometry and Hamiltonian Systems
- Stochastic Processes, Many Particle Systems