This image shows Andreas  Kollross

Andreas Kollross

Prof. Dr.

Senior Lecturer
Institute of Geometry and Topology
Chair for Geometry

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

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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 Z2Z2-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)
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