Contact
Pfaffenwaldring 57
70550 Stuttgart
Deutschland
Room: 7.558
Office Hours
- during the lecture period in the winter term 24/25: Tuesday 5:30 p.m. -- 6 p.m. (or
by appointment) -- cancelled on October 29, 2024
-
outside the lecture periods: by appointment
Publication Award 2024
Prof. Manfred Bischoff (Prorektor Forschung und wissenschaftlicher Nachwuchs), Prof. Andreas Kollross, Prof. Dominik Göddeke (Prodekan Mathematik), Prof. Michael Eisermann (IGT Abteilung für Topologie), Prof. Uwe Semmelmann (Dekan Fakultät 8 und Institutsleiter Institut für Geometrie und Topologie) -- Photo: K. Engstler
Floor plan of the IGT offices, 7th floor, building Pfaffenwaldring 57
Information for tutors (in German) of the Lehrexportzentrum Mathematik (LExMath)
with Miguel Domínguez-Vázquez: On isoparametric foliations of complex and quaternionic projective spaces. arXiv:2409.06032 [math.DG] with Claudio Gorodski and Alberto Rodríguez-Vázquez: Totally geodesic submanifolds and polar actions on Stiefel manifolds. arXiv:2402.08585 [math.DG], to appear in Journal of Geometric Analysis with Claudio Gorodski and Burkhard Wilking: Representations of compact simple Lie groups whose orbit space has non-empty boundary. arXiv:2310.12307 [math.DG] with Claudio Gorodski and Burkhard Wilking: Actions on positively curved manifolds and boundary in the orbit space. Advances in Mathematics, Volume 441, 2024, 109557 with Alberto Rodríguez-Vázquez: Totally geodesic submanifolds in exceptional symmetric spaces. Advances in Mathematics, Volume 418, 2023,108949 Polar actions on Damek-Ricci spaces. Differential Geometry and its Applications, doi.org/10.1016/j.difgeo.2021.101753 with Manuel Amann: Equivariant formality of the isotropy action on Z2⊕Z2-symmetric spaces. Journal of Topology and Analysis (2023) doi.org/10.1142/S1793525323500504 with José Carlos Díaz-Ramos and Miguel Domínguez-Vázquez: On homogeneous manifolds whose isotropy actions are polar. manuscripta math. (2020) 161: 15. https://doi.org/10.1007/s00229-018-1077-1 Octonions, triality, the exceptional Lie algebra F4, and polar actions on the Cayley hyperbolic plane. International Journal of Mathematics, Vol. 31, No. 07, 2050051 (2020) Hyperpolar actions on reducible symmetric spaces. Transformation Groups (2016) doi:10.1007/s00031-016-9384-7 with Claudio Gorodski: Some remarks on polar actions. Annals of Global Analysis and Geometry, 49(1) 43–58 (2015) doi:10.1007/s10455-015-9479-8 with José Carlos Díaz-Ramos and Miguel Domínguez-Vázquez: Polar actions on complex hyperbolic spaces. Mathematische Zeitschrift, 287(3), 1183–1213 (2017) doi:10.1007/s00209-017-1864-5 with Megan M. Kerr: Nonnegatively curved homogeneous metrics obtained by scaling fibers of submersions. Geometriae Dedicata 166 (1), 269–287 (2013) doi:10.1007/s10711-012-9795-0 with Megan M. Kerr: Nonnegatively curved homogeneous metrics in low dimensions. Annals of Global Analysis and Geometry (2012) doi:10.1007/s10455-012-9345-x with Alexander Lytchak: Polar actions on symmetric spaces of higher rank. Bulletin of the London Mathematical Society (2012) doi: 10.1112/blms/bds091 Duality of symmetric spaces and polar actions. Journal of Lie Theory 21, No. 4, 961–986 (2011) with José Carlos Díaz-Ramos: Polar actions with a fixed point. Differential Geometry and its Applications 29, 20–25 (2011), doi:10.1016/j.difgeo.2011.01.001 with Evangelia Samiou: Manifolds with large isotropy groups. Advances in Geometry, Vol. 11, No. 1, 89–102 (2011) with Jost-Hinrich Eschenburg and Renato Tribuzy: Codimension of immersions with parallel pluri-mean curvature. Differential Geometry and its Applications 27, 691–695 (2009), doi:10.1016/j.difgeo.2009.03.009 Exceptional Z2 x Z2-symmetric spaces. Pacific Journal of Math. 242(1), 113–130 (2009) Low Cohomogeneity and Polar Actions on Exceptional Compact Lie Groups. Transformation Groups, Vol.14, No.2, 387–415 (2009) Polar actions on symmetric spaces. Journal of Differential Geometry 77(3), 425–482 (2007) with Evangelia Samiou: Homogeneous spaces with sections. manuscripta math. 116(2), 115–123 (2005) with Jost-Hinrich Eschenburg and Krishnan Shankar: Free isometric circle actions on compact symmetric spaces. Geometriae Dedicata 102(1), 35–44 (2003) with Fabio Podestà: Homogeneous spaces with polar isotropy. manuscripta math. 110 (4), 487–503 (2003) Low cohomogeneity representations and orbit maximal actions. Annals of Global Analysis and Geometry 23, 93–100 (2003) A classification of hyperpolar and cohomogeneity one actions. Trans. Amer. Math. Soc. 354, 571–612 (2002)
My articles on arXiv. My Google Scholar userprofile. |
Teaching |
Oberseminar Geometrie und Topologie (Geometry and Topology Seminar) |
Winter Term 2024/2025 | Lecture: Differential Geometry Seminar Matrix Groups |
Summer Term 2024 | Lecture: Lineare Algebra und Analytische Geometrie II Lecture: Lie Group Actions |
Winter Term 2023/2024 | Lecture: Lineare Algebra und Analytische Geometrie I Computer-Praktikum (with J. Dippon and D. Göddeke) Seminar Submanifold Geometry |
Summer Term 2023 | Mathematics for Computer Scientists II Computer-Praktikum (with C. Rohde and E. Sönmez) |
Winter Term 2022/2023 | Mathematics for Computer Scientists I Computer-Praktikum (with E. Sönmez) |
Summer Term 2022 | Lecture: Differential Topology Seminar: Foliations |
Winter Term 2021/2022 | Lecture: Lie Group Actions Lecture: Differentialgeometrie für Geodäten |
Summer Term 2021 | Lecture: Symmetric Spaces Seminar: Lie groups and geometric aspects of Lie group actions |
Winter Term 2020/2021 | Lecture: Höhere Mathematik 3 vertieft Lecture: Differentialgeometrie für Geodäten |
Summer Term 2020 | Lecture: Riemannian Geometry Seminar on Elementary Differential Geometry (Curves, Surfaces, Submanifolds) |
Winter Term 2019/2020 | Lecture: Differential Geometry Lecture: Differentialgeometrie für Geodäten |
Summer Term 2019 | Lecture: Lie Group Actions Seminar: Zahlen (Numbers) |
Winter Term 2018/2019 | Lecture: Symmetric Spaces Lecture: Differentialgeometrie für Geodäten |
Summer Term 2018 | Lecture: Mathematik 2 für Informatiker und Softwaretechniker Computer-Praktikum (with J. Pöschel, I. Steinwart) |
Winter Term 2017/18 | Lecture: Mathematik 1 für Informatiker und Softwaretechniker Lecture: Differentialgeometrie für Geodäten |
Summer Term 2017 | Lecture: Riemannian Geometry B Computer-Praktikum (with B. Haasdonk, I. Steinwart) |
Winter Term 2016/17 | Lecture: Symmetric Spaces Lecture: Differentialgeometrie für Geodäten Seminar on Einstein manifolds |
Summer Term 2016 | Lecture: Geometry Lecture: Riemannian Geometry Übungen zur Riemannschen Geometrie |
Winter Term2015/16 | Lecture: Differential Geometry Übungen zur Differentialgeometrie Lecture: Differentialgeometrie für Geodäten Übungen zur Differentialgeometrie für Geodäten Seminar on Lie Groups Fachdidaktik 2: Geometrie |
Summer Term 2015 | Lecture: Mathematik II für Informatiker und Softwaretechniker Proseminar Aufbau von Zahlensystemen |
Winter Term 2014/15 | Lecture: Mathematik I für Informatiker und Softwaretechniker Seminar Untermannigfaltigkeiten und Holonomie |
Summer Term 2014 | Lecture: Symmetrische Räume Seminar Quaternionen, Oktaven, Ausnahmegruppen Fachdidaktik 2: Geometrie |
Winter Term 2013/14 | Lecture: Mathematik für Wirtschaftswissenschaftler |
Summer Term 2013 |
Lecture: Geometry Lecture: Mathematik für Wirtschaftswissenschaftler II |
Winter Term 2012/13 |
Lecture: Topology Lecture: Mathematik für Wirtschaftswissenschaftler |
Summer Term 2012 |
Lecture: Differential Topology Übungen zur Differentialtopologie Lecture: Mathematik II für Wirtschaftswissenschaftler |
Bachelor's Theses:
- Polar actions on symmetric spaces (2021)
- Homogeneous Geodesics (2020)
- Clifford algebras and singular Riemannian foliations (2018)
- Total curvature of knotted space curves (2017)
- The Weierstraß representation of minimal surfaces and the associated family (2017)
- Rigidity of surfaces (2016)
Master's Theses:
- Asystatic actions (2019)
- Polar actions on the Cayley hyperbolic plane (2018)
- Homogeneous Einstein spaces (2018)
Zulassungsarbeit für das erste Staatsexamen:
- The Curve-Shortening Flow (2020)