Home | deutsch  |  Impressum  |  Data Protection  |  Sitemap  |  Intranet  |  KIT
Research Group Differential Geometry

Secretariat
Kollegiengebäude Mathematik (20.30)
Room 1.003
Ute Peters

Address
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 an interim professor at the Mathematical Institute of the University of Bonn.
You can reach me at galazg (at) math.uni-bonn.de.
Homepage in Bonn

You can also find me on:




:: Academic and professional information

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

  • 2018-2020: Own research position funded by the DFG, Karlsruhe Institute of Technology, Germany.
  • 2018: 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.




:: Grants

DFG Project Topological and equivariant rigidity in the presence of lower curvature bounds (part of the DFG Priority Program SPP 2026: Geometry at infinity).




:: Teaching at KIT





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





:: Publications and preprints


Research

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, to appear in Indiana University Mathematics Journal, preprint: arXiv:1709.02336 (2017).

21. (with Martin Kell, Andrea Mondino and Gerardo Sosa) On quotients of spaces with Ricci curvature bounded below, Journal of Functional Analysis 275 (2018), no. 6, 1368–1446

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, Potential Analysis 48 (2018), no. 2, 223–238.

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, Mathematische Zeitschrift 288 (2018), no. 3-4, 829–853.

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.

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

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.

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.

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

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.

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

6. (with Wolfgang Spindeler) Nonnegatively curved fixed point homogeneous 5-manifolds, Annals of Global Analysis and Geometry 41 (2012), no. 2, 253-263. '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.

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

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

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.



Expository

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.




:: Editorships




BSMM



Updated: September 3, 2018.