• 2303 - Low-dimensional Topology 

      [OWR-2023-3] Workshop Report 2023,3 (2023) - (15 Jan - 21 Jan 2023)
      The workshop brought together experts from across all areas of low-dimensional topology, including knot theory, computational topology, three-manifolds and four-manifolds. In addition to the standard research talks we had ...
    • 2324 - Machine Learning for Science: Mathematics at the Interface of Data-driven and Mechanistic Modelling 

      [OWR-2023-26] Workshop Report 2023,26 (2023) - (11 Jun - 16 Jun 2023)
      Rapid progress in machine learning is enabling scientific advances across a range of disciplines. However, the utility of machine learning for science remains constrained by its current inability to translate insights from ...
    • 2337 - Many-Body Quantum Systems 

      [OWR-2023-39] Workshop Report 2023,39 (2023) - (10 Sep - 15 Sep 2023)
      This workshop brought together experts on the analysis of quantum many-body problems and quantum statistical mechanics, with the goal of discussing the state-of-the-art of the field, recent developments as well as challenges ...
    • 2317 - Mathematical Foundations of Biological Organisation 

      [OWR-2023-20] Workshop Report 2023,20 (2023) - (23 Apr - 28 Apr 2023)
      The workshop aimed to explore the use of new mathematical and computational approaches to investigate the fundamental principles governing the organization and dynamics of biological systems. This necessitated conversations ...
    • 2310a - MATRIX-MFO Tandem Workshop: Stochastic Reinforcement Processes and Graphs 

      [OWR-2023-12] Workshop Report 2023,12 (2023) - (05 Mar - 10 Mar 2023)
      Stochastic processes with reinforcement are the central theme of the present tandem workshop. We assembled a diverse group of international experts that worked on reinforcement dynamics from several different perspectives. ...
    • 2339a - MFO-RIMS Tandem Workshop 2023: Arithmetic Homotopy and Galois Theory 

      [OWR-2023-42] Workshop Report 2023,42 (2023) - (24 Sep - 29 Sep 2023)
      This report presents a general panorama of recent progress in the arithmetic-geometry theory of Galois and homotopy groups and its ramifications. While still relying on Grothendieck's original pillars, the present program ...
    • 2338b - Mini-Workshop: Interpolation and Over-parameterization in Statistics and Machine Learning 

      [OWR-2023-41] Workshop Report 2023,41 (2023) - (17 Sep - 22 Sep 2023)
      In recent years it has become clear that, contrary to traditional statistical beliefs, methods that interpolate (fit exactly) the noisy training data, can still be statistically optimal. In particular, this phenomenon of ...
    • 2339b - Mini-Workshop: Multivariate Orthogonal Polynomials: New synergies with Numerical Analysis 

      [OWR-2023-43] Workshop Report 2023,43 (2023) - (24 Sep - 29 Sep 2023)
      Multivariate polynomials and, in particular, multivariate orthogonal polynomials (MOPs) are research areas within the fields of special functions, Lie groups, quantum groups, computer algebra to name only some of them. ...
    • 2333 - Mixed-integer Nonlinear Optimization: A Hatchery for Modern Mathematics 

      [OWR-2023-35] Workshop Report 2023,35 (2023) - (13 Aug - 18 Aug 2023)
      Mixed-integer nonlinear programming (MINLP) is concerned with finding optimal solutions to mathematical formulations of optimization problems combining discrete and nonlinear phenomena. The scientific program was ...
    • 2302 - Model Theory: Combinatorics, Groups, Valued Fields and Neostability 

      [OWR-2023-2] Workshop Report 2023,2 (2023) - (08 Jan - 14 Jan 2023)
      The scope of contemporary model theory has expanded enormously over the last several decades, helped by the development of new tools applicable to an ever wider range of structures. In the spirit of the previous meetings ...
    • 2304 - Morphisms in Low Dimensions 

      [OWR-2023-4] Workshop Report 2023,4 (2023) - (22 Jan - 28 Jan 2023)
      This workshop brought together experts on interrelated topics in low-dimensional topology, centred around the common theme of 'morphisms'. Our goal was to improve community understanding of recent developments in the field ...
    • 2312 - New Directions in Real Algebraic Geometry 

      [OWR-2023-15] Workshop Report 2023,15 (2023) - (19 Mar - 24 Mar 2023)
      This workshop explored the forefront of connections of real algebraic geometry with convex analysis, combinatorics, and computational complexity. Important aspects have been promising interactions with the fields of quantum ...
    • 2309b - New Horizons in Motions in Random Media 

      [OWR-2023-10] Workshop Report 2023,10 (2023) - (26 Feb - 04 Mar 2023)
      The general topic of the mini-workshop "New Horizons in Motions in Random Media" was the study of random walks in random environments, both in their own right and in relation to stochastic homogenization and to models in ...
    • 2310b - Optimization Problems for PDEs in Weak Space-Time Form 

      [OWR-2023-13] Workshop Report 2023,13 (2023) - (05 Mar - 10 Mar 2023)
      Optimization problems constrained by time-dependent Partial Differential Equations (PDEs) are challenging from a computational point of view: even in the simplest case, one needs to solve a system of PDEs coupled globally ...
    • 2330 - Partial Differential Equations 

      [OWR-2023-32] Workshop Report 2023,32 (2023) - (23 Jul - 28 Jul 2023)
      This workshop focused on nonlinear elliptic and parabolic partial differential equations, touching topics such as geometric flows, geometric variational problems and minimal surfaces, free boundaries, and geometric measure ...
    • 2313 - Random Graphs: Combinatorics, Complex Networks and Disordered Systems 

      [OWR-2023-16] Workshop Report 2023,16 (2023) - (26 Mar - 31 Mar 2023)
      Since the turn of the millennium the theory of random graphs has advanced by leaps and bounds. Random graphs have found very many applications, and many unexpected applications, in a remarkable variety of disciplines, and ...
    • 2311 - Real Algebraic Geometry with a View toward Koopman Operator Methods 

      [OWR-2023-14] Workshop Report 2023,14 (2023) - (12 Mar - 17 Mar 2023)
      This workshop was dedicated to the newest developments in real algebraic geometry and their interaction with convex optimization and operator theory. A particular effort was invested in exploring the interrelations with ...
    • 2325 - Recent Trends in Algebraic Geometry 

      [OWR-2023-27] Workshop Report 2023,27 (2023) - (18 Jun - 23 Jun 2023)
      Algebraic geometry has grown into a broad subject, with many different streams often advancing quite independently of each other. Nonetheless, important advances have often come from visionary applications of ideas in ...
    • 2307 - Representation Theory of Quivers and Finite-Dimensional Algebras 

      [OWR-2023-7] Workshop Report 2023,7 (2023) - (12 Feb - 18 Feb 2023)
      This workshop was about the representation theory of quivers and finite-dimensional (associative) algebras, and links to other areas of mathematics, including other areas of representation theory, homological algebra, ...
    • 2316 - Representations of Finite Groups 

      [OWR-2023-19] Workshop Report 2023,19 (2023) - (16 Apr - 21 Apr 2023)
      The workshop "Representations of Finite Groups" was organised by Olivier Dudas (Marseille), Meinolf Geck (Stuttgart), Radha Kessar (Manchester), and Gabriel Navarro (Valencia). It covered a wide variety of aspects of ...