| Private Homepage | https://www.uni-muenster.de/IVV5WS/WebHop/user/wiemelem/index.html |
| Topics in Mathematics Münster | T2: Moduli spaces in arithmetic and geometry T5: Curvature, shape, and global analysis |
| Current Publications | • Wiemeler, Michael On a conjecture of Stolz in the toric case. Proceedings of the American Mathematical Society Vol. 152 (8), 2024 online • Ebert, Johannes; Wiemeler, Michael On the homotopy type of the space of metrics of positive scalar curvature. Journal of the European Mathematical Society Vol. 26 (9), 2024 online • Goertsches O.; Wiemeler M. Non-negatively curved GKM orbifolds. Mathematische Zeitschrift Vol. 300 (2), 2022, pp 2007-2036 online • Tuschmann W.; Wiemeler M. On the topology of moduli spaces of non-negatively curved Riemannian metrics. Mathematische Annalen Vol. 384, 2022, pp 1629-1651 online • Wiemeler, Michael Smooth classification of locally standard T^k-manifolds. Osaka Journal of Mathematics Vol. 59 (3), 2022 online • Wiemeler, Michael On moduli spaces of positive scalar curvature metrics on highly connected manifolds. International Mathematics Research Notices Vol. 2021 (11), 2021 online • Wiemeler M. S1-Equivariant bordism, invariant metrics of positive scalar curvature, and rigidity of elliptic genera. Journal of Topology and Analysis Vol. 12 (4), 2020, pp 1103-1156 online • Wiemeler, Michael Classification of rationally elliptic toric orbifolds. Archiv der Mathematik Vol. 114, 2020 online • Tuschmann W.; Wiemeler M. Smooth stability and sphere theorems for manifolds and Einstein manifolds with positive scalar curvature. Communications in Analysis and Geometry Vol. 27 (2), 2019, pp 491-509 online |
| Current Projects | • CRC 1442 - B01: Curvature and Symmetry The question of how far geometric properties of a manifold determine its global topology is a classical problem in global differential geometry. Building on recent breakthroughs we investigate this problem for positively curved manifolds with torus symmetry. We also want to complete the classification of positively curved cohomogeneity one manifolds and obtain structure results for the fundamental groups of nonnegatively curved manifolds. Other goals include structure results for singular Riemannian foliations in nonnegative curvature and a differentiable diameter pinching theorem. • EXC 2044 - B1: Smooth, singular and rigid spaces in geometry Many interesting classes of Riemannian manifolds are precompact in the Gromov-Hausdorfftopology. The closure of such a class usually contains singular metric spaces. Understanding thephenomena that occur when passing from the smooth to the singular object is often a first step toprove structure and finiteness results. In some instances one knows or expects to define a smoothRicci flow coming out of the singular objects. If one were to establishe uniqueness of the flow, thedifferentiable stability conjecture would follow. If a dimension drop occurs from the smooth to thesingular object, one often knows or expects that the collapse happens along singular Riemannianfoliations or orbits of isometric group actions. Rigidity aspects of isometric group actions and singular foliations are another focus in this project.For example, we plan to establish rigidity of quasi-isometries of CAT(0) spaces, as well as rigidity oflimits of Type III Ricci flow solutions and of positively curved manifolds with low-dimensional torusactions.We will also investigate area-minimising hypersurfaces by means of a canonical conformal completionof the hypersurface away from its singular set. online | wiemelerm@uni-muenster.de |
| Phone | +49 251 83-32731 |
| FAX | +49 251 83-32711 |
| Room | 312 |
| Secretary | Sekretariat Huppert Frau Sandra Huppert Telefon +49 251 83-33748 Fax +49 251 83-32711 Zimmer 411 |
| Address | PD Dr. Michael Wiemeler Mathematisches Institut Fachbereich Mathematik und Informatik der Universität Münster Einsteinstrasse 62 48149 Münster Deutschland |
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