
Address:
Inselstraße 22
04103 Leipzig
Germany
Phone:
+49 (0) 341 - 9959 - 50
Fax:
+49 (0) 341 - 9959 - 658
Contact by E-mail
How to find our institute
Welcome to the MPI MiS
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.
Research Brief on What Lie algebras can tell us about Jordan algebras (28.09.2023)
Our latest Research Brief from the group of Jürgen Jost explores links between algebra and geometry. They discuss connections between Jordan algebras and Lie groups and investigate symmetries in algebraic structures.
Cellular Cartography - Charting the Sizes and Abundance of Our Body's Cells Reveals Mathematical Order Underlying Life (19.09.2023)
International scientists unveil the first human cell index, mapping cell size and abundance throughout the body. In a landmark PNAS study, they uncover surprising mathematical patterns that challenge our basic understanding of cellular organization.
Calendar
- 05.10.2023, 14:00, room: G3 10 (Lecture hall), Georg Loho:
Quotients in Discrete Convex Analysis (see abstract) - 05.10.2023, 15:00, room: G3 10 (Lecture hall), Francesca Tombari:
Biparameter persistence for filtering functions and the matching distance (see abstract) - 05.10.2023, 17:00, only Live Stream (please register), Michael Murray:
Training shallow ReLU networks on noisy data using hinge loss: when do we overfit and is it benign? (see abstract) - 06.10.2023, 11:00, room: E1 05 (Leibniz-Saal), Lecturers of the winter term:
MPI MiS Lectures during the winter term 2023/2024 (see abstract) - 09.10 - 11.10.2023: MPI MiS (G3 10 (Lecture hall)), Workshop:
Maths meets information specialists
MaRDI Workshop zu mathematischen Forschungsdaten für information specialists - 10.10.2023, 11:00, room: E2 10 (Leon-Lichtenstein) + Live Stream, Filippo Mazzoli:
Pleated surfaces in higher rank (see abstract) - 10.10.2023, 11:30, room: E2 10 (Leon-Lichtenstein) + Live Stream, Samantha Fairchild:
The transcendental divide: from Riemann Surfaces to Algebraic Curves (see abstract) - 10.10.2023, 12:00, room: E2 10 (Leon-Lichtenstein) + Live Stream, Francesca Tombari:
A topological model for (partial) equivariance in deep learning (see abstract) - 10.10.2023, 13:30, room: E2 10 (Leon-Lichtenstein) + Live Stream, Jiajun Shi:
Generalization of Thurston’s asymmetric metric (see abstract) - 10.10.2023, 14:00, room: E2 10 (Leon-Lichtenstein) + Live Stream, Daniel Douglas:
Quantum higher Teichmüller theory (see abstract) - 10.10.2023, 15:00, room: A3 01 (Sophus-Lie room), Abel Jansma:
to be announced (see abstract) - 16.10 - 18.10.2023: MPI MiS (E1 05 (Leibniz-Saal)), Conference:
Chow Lectures - 07.11.2023: MPI MiS (E1 05 (Leibniz-Saal)), Seminar:
Geometry meets Algebra day - 08.11 - 10.11.2023: MPI MiS (E1 05 (Leibniz-Saal)), School:
IMPRS Combo 1 - 13.11 - 15.11.2023: MPI MiS (E1 05 (Leibniz-Saal)), Workshop:
Workshop on Geometry and Machine Learning
Directors
Welcome
- Angel David Rios Ortiz (02.10.)
- Sebastian Bürger (01.10.)
- Fernando Camacho Cadena (01.10.)
- James Reed Farre (01.10.)
- Matteo Giardi (01.10.)
- Zachary Greenberg (01.10.)
- Enya Hsiao (01.10.)
- Pengfei Huang (01.10.)
- Mitul Islam (01.10.)
- Joris Koefler (01.10.)
- Merik Juljan Niemeyer (01.10.)
- Niharika Chakrabarty Paul (01.10.)
- Bernhard Reinke (01.10.)
- Jiajun Shi (01.10.)
- Angélica Marcela Torres Bustos (01.10.)
- Martina Zizza (01.10.)
Recent results
- Hirsch, J. ; Mooney, C. and R. Tione: On the Lawson-Osserman conjecture. [link]
- Jiang, S.-H.: Cohomological Lagrangian field theory. [link]
- Karhadkar, K. ; Murray, M. ; Tseran, H. and G. Montúfar: Mildly overparameterized ReLU networks have a favorable loss landscape. [link]
- Mulas, R.: Interview with László Lovász. [link]
- Jin, Z.-X. ; Yu, B. ; Zhu, X.-N. ; Fei, S.-M. and C.-F. Qiao: Polygamy relation of quantum correlations with equality. [link]
- Dressler, M. ; Garrote-López, M. ; Montúfar, G. ; Rose, K. and J. Müller: Algebraic optimization of sequential decision problems. [link]
- Müller, J. and G. Montúfar: Geometry and convergence of natural policy gradient methods. [link]
- Fan, J. ; Wu, Z. and S.-M. Fei: Coherence monotones of quantum channels based on two generalized quantum relative entropies. [link]
- Baek, Y. ; Aquino, W. and S. Mukherjee: Generalized Bayes approach to inverse problems with model misspecification. [link]
- Hatton, I. A. ; Galbraith, E. D. ; Nono, C. M. ; Miettinen, T. P. and B. M. Smith: The human cell count and size distribution. [link]
- Brandenburg, M.-C. ; Loho, G. and R. Sinn: Tropical positivity and determinantal varieties. [link]
- Ding, Q. ; Jost, J. and Y.-L. Xin: Existence and non-existence of minimal graphs. [link]