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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.

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.

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Samantha Fairchild Establishes New Research Group to Cross the Transcendental Divide (15.09.2023)

Samantha Fairchild just launched her Discrete Sets in Geometry group. In our interview, she covers dynamical systems, transcendental theory, and more. She also seeks a postdoc to join her ambitious effort to explore intersections across mathematics.

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Angkana Rüland Awarded Prestigious New Horizons Prize (15.09.2023)

Former group leader Angkana Rüland, renowned for her work in applied analysis, is to receive the New Horizons Prize from the Breakthrough Prize Foundation, a $100,000 accolade. Congratulations on this well-deserved recognition!

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  • 28.09.2023, 14:00, room: A3 02 (Seminar room), Karel Devriendt:
    Uniform density in matroids, matrices and graphs (see abstract)
  • 28.09.2023, 15:00, room: A3 02 (Seminar room), Nihar Gargava:
    Random Arithmetic Lattices as Sphere Packings (see abstract)
  • 29.09.2023, 11:00, room: E2 10 (Leon-Lichtenstein), Greta Marino:
    Lipschitz regularity for solutions of a general class of elliptic equations (see abstract)
  • 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


  • Nihar Gargava (27.09.)
  • Greta Marino (26.09.)
  • Christian Schneider (25.09.)
  • Neža Žager Korenjak (20.09.)
  • Noe Barcenas Torres (18.09.)
  • Emil Saucan (18.09.)

more information >>>

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]
  • more recent papers >>>

28.09.2023, 11:02