| Private Homepage | http://wwwmath.uni-muenster.de/u/lkram_01 |
| Research Interests | Geometry Lie groups and locally compact groups Geometric group theory Nonpositive curvature |
| Selected Publications | • Hofmann KH, Kramer L Transitive actions of locally compact groups on locally contractible spaces. Journal für die reine und angewandte Mathematik Vol. 702, 2015, pp 227-243 online • Kramer L The topology of a semisimple Lie group is essentially unique. Advances in Mathematics Vol. 228 (5), 2011, pp 2623-2633 online • Kramer L, Lytchak A Homogeneous compact geometries. Transformation Groups Vol. 19 (3), 2014, pp 793-852 online • Kramer L Two-transitive Lie groups. Journal für die reine und angewandte Mathematik Vol. 563, 2003 online • Grundhöfer T, Kramer L, Van Maldeghem H, Weiss RM Compact totally disconnected Moufang buildings. Tohoku Mathematical Journal Vol. 64 (3), 2012, pp 333-360 online • Kramer L, Weiss RM Coarse equivalences of Euclidean buildings. Advances in Mathematics Vol. 253, 2014, pp 1-49 online • Kramer L, Stolz S A diffeomorphism classification of manifolds which are like projective planes. Journal of Differential Geometry Vol. 77 (2), 2007 online • Kramer L Projective planes and their look-alikes. Journal of Differential Geometry Vol. 64 (1), 2003 online |
| Project membership Mathematics Münster | B: Spaces and Operators B1: Smooth, singular and rigid spaces in geometry |
| Current Publications | • Deninger C.; Grundhöfer, T.; Kramer, L. Weil tensors, strongly regular graphs, multiplicative characters, and a qudaratic matrix equation. Proceedings of the Steklov Institute of Mathematics, 2022 online • Braun O, Hofmann KH, Kramer L Automatic continuity of abstract homomorphisms between locally compact and Polish groups. Transformation Groups Vol. 25 (1), 2020, pp 1-32 online • Hofmann KH, Kramer L On weakly complete group algebras of compact groups. Journal of Lie Theory Vol. 30 (2), 2020, pp 407-424 online • Kramer L, Lytchak A Erratum to: ''Homogeneous compact geometries'' [ {MR}3233526]. Transformation Groups Vol. 24 (2), 2019, pp 589-596 online • Kramer Linus, Varghese Olga Abstract homomorphisms from locally compact groups to discrete groups. Journal of Algebra Vol. 538, 2019, pp 127-139 online • Herfort W, Hofmann KH, Kramer L, Russo FG The Sylow structure of scalar automorphism groups. Topology and its Applications Vol. 263, 2019, pp 26-43 online |
| Current Projects | • 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 | linus dot kramer at uni-muenster dot de |
| Phone | +49 251 83-33726 |
| Room | 301b |
| Secretary | Prof. Dr. Linus Kramer Telefon +49 251 83-33726 Zimmer 301b |
| Address | Prof. Dr. Linus Kramer Mathematisches Institut Fachbereich Mathematik und Informatik der Universität Münster Einsteinstrasse 62 48149 Münster Deutschland |
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