Research Interests

Research Interests

$\bullet$ Geometry
$\bullet$ Lie groups and locally compact groups
$\bullet$ Geometric group theory
$\bullet$ Nonpositive curvature

Selected Publications

• 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
• Kramer L Two-transitive Lie groups. Journal für die reine und angewandte Mathematik Vol. 563, 2003 online
• Kramer L The topology of a semisimple Lie group is essentially unique. Advances in Mathematics Vol. 228 (5), 2011, pp 2623-2633 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, Lytchak A Homogeneous compact geometries. Transformation Groups Vol. 19 (3), 2014, pp 793-852 online
• 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

Current Publications

Current Publications

$\bullet $ Linus Kramer. Some remarks on proper actions, proper metric spaces, and buildings. Advances in Geometry, 22(4):541–559, October 2022. doi:10.1515/advgeom-2022-0018.

$\bullet $ Karl Heinrich Hofmann and Linus Kramer. On weakly complete universal enveloping algebras: a Poincaré-Birkhoff-Witt theorem. Journal of Lie Theory, 32(3):601–642, October 2022.

$\bullet $ Linus Kramer and Markus J. Stroppel. Hodge operators and exceptional isomorphisms between unitary groups. arXiv e-prints, August 2022. arXiv:2208.11044.

$\bullet $ Linus Kramer and Markus J. Stroppel. Hodge operators and groups of isometries of diagonalizable symmetric bilinear forms in characteristic two. arXiv e-prints, August 2022. arXiv:2208.11326.

$\bullet $ Christopher Deninger, Theo Grundhöfer, and Linus Kramer. Weyl tensors, strongly regular graphs, multiplicative characters, and a quadratic matrix equation. arXiv e-prints, April 2022. arXiv:2204.02706.

$\bullet $ Linus Kramer. A note on commutators in compact semisimple Lie algebras. arXiv e-prints, April 2022. arXiv:2204.09913.

$\bullet $ Linus Kramer, Peter Kramer, and Vladimir Man’ko. A new product on $2 \times 2$ matrices. Journal of Physics: Conference Series, 1612(1):012018, August 2020. doi:10.1088/1742-6596/1612/1/012018.

$\bullet $ Karl Heinrich Hofmann and Linus Kramer. On weakly complete group algebras of compact groups. J. Lie Theory, 30(2):407–424, June 2020.

$\bullet $ Oskar Braun, Karl H. Hofmann, and Linus Kramer. Automatic continuity of abstract homomorphisms between locally compact and polish groups. Transform. Groups, 25(1):1–32, March 2020. doi:10.1007/s00031-019-09537-4.

$\bullet $ Linus Kramer and Olga Varghese. Abstract homomorphisms from locally compact groups to discrete groups. Journal of Algebra, 538:127–139, November 2019. doi:10.1016/j.jalgebra.2019.07.026.

$\bullet $ Karl Heinrich Hofmann and Linus Kramer. Group algebras of compact groups. arXiv e-prints, September 2019. arXiv:1904.00806.

$\bullet $ Wolfgang Herfort, Karl H. Hofmann, Linus Kramer, and Francesco G. Russo. The Sylow structure of scalar automorphism groups. Topology and its Applications, 263:26–43, August 2019. doi:10.1016/j.topol.2019.05.027.

$\bullet $ Linus Kramer and Alexander Lytchak. Erratum to: “Homogeneous compact geometries”. Transformation Groups, 24(2):589–596, April 2019. doi:10.1007/s00031-019-09524-9.