Apl. Prof. Dr.

Andreas Kollross

Senior Lecturer
Institute of Geometry and Topology
Chair for Geometry

Contact

+49 711 685-65885

Pfaffenwaldring 57
70550 Stuttgart
Deutschland
Room: 7.558

Office Hours

  • during the semester break: by appointment
  • during the lecture period in the winter term 2019/2020: Tuesday 2:30 p.m.--3:30 p.m.,
    cancelled on November 5

 

Floorplan of IGT offices in 7th floor, building Pfaffenwaldring 57

Information for student and research assistants (in German) of the Lehrexportzentrum Mathematik (LExMath)

My articles on arXiv. My Google Scholar userprofile.

A classification of hyperpolar and cohomogeneity one actions. Trans. Amer. Math. Soc. 354, 571–612 (2002)

Low cohomogeneity representations and orbit maximal actions. Annals of Global Analysis and Geometry 23, 93–100 (2003)

with Fabio Podestà: Homogeneous spaces with polar isotropy. manuscripta math. 110 (4), 487–503 (2003)

with Jost-Hinrich Eschenburg and Krishnan Shankar: Free isometric circle actions on compact symmetric spaces. Geometriae Dedicata 102(1), 35–44 (2003)

with Evangelia Samiou: Homogeneous spaces with sections. manuscripta math. 116(2), 115–123 (2005)

Polar actions on symmetric spaces. Journal of Differential Geometry 77(3), 425–482 (2007)

Low Cohomogeneity and Polar Actions on Exceptional Compact Lie Groups. Transformation Groups, Vol.14, No.2, 387–415 (2009)

Exceptional Z2 x Z2-symmetric spaces. Pacific Journal of Math. 242(1), 113–130 (2009)

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

with Evangelia Samiou: Manifolds with large isotropy groups. Advances in Geometry, Vol. 11, No. 1, 89–102 (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

Duality of symmetric spaces and polar actions. Journal of Lie Theory 21, No. 4, 961–986 (2011)

with Alexander Lytchak: Polar actions on symmetric spaces of higher rank. Bulletin of the London Mathematical Society (2012) doi: 10.1112/blms/bds091

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 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 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 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

Hyperpolar actions on reducible symmetric spaces. Transformation Groups (2016) doi:10.1007/s00031-016-9384-7

Octonions, triality, the exceptional Lie algebra F4, and polar actions on the Cayley hyperbolic plane, arXiv preprint: arXiv:1802.08075

with José Carlos Díaz-Ramos and Miguel Domínguez-Vázquez: On homogeneous manifolds whose isotropy actions are polar, manuscripta math. (2018). https://doi.org/10.1007/s00229-018-1077-1

Teaching
Oberseminar Geometrie und Topologie (Geometry and Topology Seminar)
Winter Term  2019/2020 Lecture: Differential Geometrie
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:

  • 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)
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