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Research Group Differential Geometry

Kollegiengebäude Mathematik (20.30)
Room 1.003
Ute Peters

Institut für Algebra und Geometrie
Englerstr. 2
D-76131 Karlsruhe

Office hours:
Mo-Fr 09:00-15:00
Für Studierende:
Mo-Fr 09:15-11:15

Tel.: +49 721 608 43943

Fax.: +49 721 608 46909

Photo of Fernando Galaz-Garcia PD Dr. Fernando Galaz-Garcia

Office hour for students: By appointment.
Room: 1.016 Kollegiengebäude Mathematik (20.30)
Tel.: +49 721 608 41881
Email: galazgarcia@kit.edu

Arbeitsgruppe Differentialgeometrie
Institut für Algebra und Geometrie
Fakultät für Mathematik
Karlsruher Institut für Technologie
Englerstr. 2
76131 Karlsruhe

From April to October of 2018 I will be working at the Mathematical Institute of the University of Bonn.
You can reach me at galazg (at) math.uni-bonn.de.
Homepage in Bonn

:: Academic and professional information

  • 2017: Habilitation, Karlsruhe Institute of Technologie, Germany.
  • 2009: Ph.D., University of Maryland, College Park, USA.

  • 2018-present: Interim professor, University of Bonn, Germany.
  • 2014-2018: Postdoctoral researcher, Karlsruhe Institute of Technology, Germany.
  • 2009-2014: Postdoctoral researcher, University of Münster, Germany.
  • 2009: Postdoctoral researcher, Instituto de Matemáticas-Cuernavaca, UNAM, Mexico.

:: Research interests

Differential geometry and topology, metric geometry, transformation groups.

:: Teaching at KIT

Semester Titel Typ
Winter Semester 2017/18 Seminar
Summer Semester 2017
Winter Semester 2016/17
Summer Semester 2016
Winter Semester 2015/16
Summer Semester 2015
Winter Semester 2014/15
Summer Semester 2014

:: Publications and preprints


23. (with Masoumeh Zarei) Cohomogeneity one Alexandrov spaces in low dimensions, preprint: arXiv:1710.08081 (2017).

22. (with Luis Guijarro and Jesús Núñez-Zimbrón) Sufficiently collapsed irreducible Alexandrov 3-spaces are geometric, preprint: arXiv:1709.02336 (2017).

21. (with Martin Kell, Andrea Mondino and Gerardo Sosa) On quotients of spaces with Ricci curvature bounded below, to appear in Journal of Functional Analysis, preprint: arXiv:1704.05428 (2017).

20. (with Jesús Núñez-Zimbrón) Three-dimensional Alexandrov spaces with local isometric circle actions, to appear in Kyoto Journal of Mathematics, preprint: arXiv:1702.06080 (2017).

19. (with Diego Corro) Positive Ricci curvature on simply-connected manifolds with cohomogeneity-two torus actions, preprint: arXiv:1609.06125 (2016).

18. (with Qintao Deng, Luis Guijarro and Michael Munn) Three-Dimensional Alexandrov spaces with positive or nonnegative Ricci curvature, to appear in Potential Analysis. Preprint: arXiv:1602.07724 (2016).

17. (with Martin Kerin and Marco Radeschi) Torus actions on rationally-elliptic manifolds, preprint: arXiv:1511.08383 (2015).

16. (with Masoumeh Zarei) Cohomogeneity one manifolds revisited, to appear in Mathematische Zeitschrift. Preprint: arXiv:1503.09068 (2015).

15. (with Martin Kerin, Marco Radeschi and Michael Wiemeler) Torus orbifolds, slice-maximal torus actions and rational ellipticity, to appear in Int. Math. Res. Notices IMRN. Preprint: arXiv:1404.3903 (2015).

14. (with Luis Guijarro) Every point in a Riemannian manifold is critical, Calc. Var. Partial Differential Equations 54 (2015), no. 2, 2079–2084. Preprint: arXiv:1408.4777.

13. (with Marco Radeschi) Singular Riemannian foliations and applications to positive and nonnegative curvature, J. Topol. 8 (2015), no. 3, 603–620. Preprint: arXiv:1302.4593.

12. Simply connected Alexandrov 4-manifolds with positive or nonnegative curvature and torus actions, preprint: arXiv:1208.3041 (2013).

11. (with Luis Guijarro) On three-dimensional Alexandrov spaces, Int. Math. Res. Not. IMRN 2015, no. 14, 5560–5576. 53C45. Preprint: arXiv:1307.3929.

10. A note on maximal symmetry rank, quasipositive curvature, and low dimensional manifolds, Geometry of manifolds with non-negative sectional curvature, 45–55, Lecture Notes in Math., 2110, Springer, Cham, 2014. Preprint: arXiv:1201.1312.

9. (with Catherine Searle) Non-negatively curved 5-manifolds with almost maximal symmetry rank, Geom. Topol. 18 (2014), no. 3, 1397–1435. Preprint: arXiv:1111.3183.

8. (with Martin Kerin) Cohomogeneity-two torus actions on non-negatively curved manifolds of low dimension, Mathematische Zeitschrift 276 (2014), no. 1-2, 133-152. Preprint: arXiv:1111.1640.

7. (with Luis Guijarro) Isometry groups of Alexandrov spaces, Bulletin of the London Mathematical Society 45 (2013), no. 3, 567-579. Preprint: arXiv:1109.4878.

6. (with Wolfgang Spindeler) Nonnegatively curved fixed point homogeneous 5-manifolds, Annals of Global Analysis and Geometry 41 (2012), no. 2, 253-263. Preprint: arXiv:1105.0551. 'Erratum: Ann. Global Anal. Geom. 45 (2014), no. 2, 151-153.

5. Nonnegatively curved fixed point homogeneous manifolds in low dimensions, Geometriae Dedicata 157 (2012), no. 1, 367-396. Preprint: arXiv:0911.1254.

4. (with Catherine Searle) Low-dimensional manifolds with non-negative curvature and maximal symmetry rank, Proc. Amer. Math. Soc. 139 (2011), 2559-2564. Preprint: arXiv:1207.6173

3. (with Catherine Searle) Cohomogeneity one Alexandrov spaces, Transformation Groups 16, No 1 (2011), 91-107. Preprint: arXiv:0910.5207.

2. Examples of 4-manifolds with almost nonpositive curvature, Differential Geometry and its Applications 26 (2008), 697-703.

1. Bounds on characteristic numbers by curvature and radius, Rocky Mountain J. Math. 39, Number 4 (2009), 1225-1231.


3. A glance at three-dimensional Alexandrov spaces, Frontiers of Mathematics in China 11 (5), 1189-1206.

2. Definiciones originales de la integral y medida de Lebesgue, Miscelánea Mat. 44 (2007) 83-100.

1. Superficies Minimales, Miscelánea Mat. 39 (2004) 31-48.

Updated: May 3, 2018.