Sprechstunde Mo: 14:00-15:00 Uhr und nach Vereinbarung.
| Private Homepage | https://www.uni-muenster.de/Arithm/schuermann/index.html |
| Topics in Mathematics Münster | T1: K-Groups and cohomology T2: Moduli spaces in arithmetic and geometry T7: Field theory and randomness |
| Current Publications | • Cappell, Sylvain; Maxim, Laurentiu; Schürmann, Jörg; Shaneson, Julius Equivariant toric geometry and Euler–Maclaurin formulae. Communications on Pure and Applied Mathematics Vol. 79 (3), 2026 online • Maxim, Laurentiu; Schürmann, Jörg Weighted Ehrhart theory via equivariant toric geometry. Advances in Mathematics Vol. 488, 2026 online • Banagl, Markus; Schürmann, Jörg; Wrazidlo, Dominik Topological Gysin Coherence for Algebraic Characteristic Classes of Singular Spaces. Manuscripta Mathematica Vol. 177, 2026 online • Schürmann, Jörg; Simpson, Connor; Wang, Botong A new generic vanishing theorem on homogeneous varieties and the positivity conjecture for triple intersections of Schubert cells. Compositio Mathematica Vol. 161 (1), 2025 online • Maxim, Laurentiu; Schürmann, Jörg Weighted Ehrhart theory via mixed Hodge modules on toric varieties. International Mathematics Research Notices Vol. 2025 (7), 2025 online • Aluffi, Paolo; Mihalcea, Leonardo; Schürmann, Jörg; Su, Changjian Motivic Chern classes of Schubert cells, Hecke algebras, and applications to Casselman's problem. Annales Scientifiques de l'École Normale Supérieure Vol. 57 (1), 2024 online • Cappell, Sylvain; Maxim, Laurentiu; Schürmann, Jörg; Shaneson, Julius Equivariant toric geometry and Euler-Maclaurin formulae—an overview. Revue Roumaine des Mathematiques Pures et Appliquees Vol. 69 (2), 2024 online • Aluffi, Paolo; Mihalcea, Leonardo; Schürmann, Jörg; Su, Changjian From motivic Chern classes of Schubert cells to their Hirzebruch and CSM classes. Contemporary Mathematics Vol. 804, 2024 online • Schürmann, Jörg; Wulkenhaar, Raimar An algebraic approach to a quartic analogue of the Kontsevich model. Mathematical Proceedings Vol. 174 (3), 2023 online |
| Current Projects | • EXC 2044 - T01: K-Groups and cohomology K-groups and cohomology groups are important invariants in different areas of mathematics, from arithmetic geometry to geometric topology to operator algebras. The idea is to associate algebraic invariants to geometric objects, for example to schemes or stacks, C∗-algebras, stable ∞-categories or topological spaces. Originating as tools to differentiate topological spaces, these groups have since been generalized to address complex questions in different areas. online • EXC 2044 - T02: Moduli spaces in arithmetic and geometry The term “moduli space” was coined by Riemann for the space Mg parametrizing all one-dimensional complex manifolds of genus g. Variants of this appear in several mathematical disciplines. In arithmetic geometry, Shimura varieties or moduli spaces of shtukas play an important role in the realisation of Langlands correspondences. Diffeomorphism groups of high-dimensional manifolds and moduli spaces of manifolds and of metrics of positive scalar curvature are studied in differential topology. Moduli spaces are also one of the central topics in our research in mathematical physics, where we study moduli spaces of stable curves and of Strebel differentials. online • EXC 2044 - T07: Field theory and randomness Quantum field theory (QFT) is the fundamental framework to describe matter at its smallest length scales. QFT has motivated groundbreaking developments in different mathematical fields: The theory of operator algebras goes back to the characterisation of observables in quantum mechanics; conformal field theory, based on the idea that physical observables are invariant under conformal transformations of space, has led to breakthrough developments in probability theory and representation theory; string theory aims to combine QFT with general relativity and has led to enormous progress in complex algebraic geometry, among others. online • CRC 1442 - D03: Integrability We investigate blobbed topological recursion for the general Kontsevich matrix model, as well as the behaviour of Baker–Akhiezer spinor kernels for deformations of the spectral curve and for the quartic Kontsevich model. We study relations between spin structures and square roots of Strebel differentials, respectively between topological recursion and free probability. We examine factorisation super-line bundles on infinite-dimensional Grassmannians and motivic characteristic classes for intersection cohomology sheaves of Schubert varieties. | jschuerm at uni-muenster dot de |
| Phone | +49 251 83-32734 |
| Room | 514 |
| Secretary | Sekretariat Dierkes Frau Gabi Dierkes Telefon +49 251 83-33730 Zimmer 414 |
| Address | apl. Prof. Dr. Jörg Schürmann Mathematisches Institut Fachbereich Mathematik und Informatik der Universität Münster Einsteinstrasse 62 48149 Münster Deutschland |
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