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Arbeitsgruppe Differentialgeometrie

Sekretariat
Kollegiengebäude Mathematik (20.30)
Zimmer 1.003
Ute Peters

Adresse
Institut für Algebra und Geometrie
Englerstr. 2
76131 Karlsruhe

Öffnungszeiten:
Mo-Fr 09:00-15:00
Für Studierende:
Mo-Fr 09:15-11:15

Tel.: 0721 608 43943

Fax.: 0721 608 46909

Foto von Fernando Galaz-Garcia PD Dr. Fernando Galaz-Garcia

Sprechstunde: Nach Vereinbarung.
Zimmer: 1.016 Kollegiengebäude Mathematik (20.30)
Tel.: 0721 608 41881
Email: galazgarcia@kit.edu

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

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:: Academische und berufliche Informationen


  • 2017: Habilitation, Karlsruher Institut für Technologie.
  • 2009: Ph.D., University of Maryland, College Park, USA.
  • 2019-: Eigene Stelle (DFG), Karlsruher Institut für Technologie.
  • 2018: Professurvertretung, Universität Bonn.
  • 2014-2018 : Wissenschaftlicher Mitarbeiter, Karlsruher Institut für Technologie.
  • 2009-2014: Wissenschaftlicher Mitarbeiter, Westfälische Wilhelms-Universität Münster.
  • 2009: Postdoctoral researcher, Instituto de Matemáticas-Cuernavaca, UNAM, Mexico.


:: Forschungsinteressen

Differentialgeometrie, metrische Geometrie, geometrische Topologie, Transformationsgruppen.





Aktuelles Lehrangebot
Semester Titel Typ
Wintersemester 2017/18 Seminar
Sommersemester 2017 Vorlesung
Wintersemester 2016/17 Vorlesung
Sommersemester 2016 Vorlesung
Seminar
Wintersemester 2015/16 Vorlesung
Sommersemester 2015 Vorlesung
Seminar
Wintersemester 2014/15 Vorlesung
Sommersemester 2014 Vorlesung



:: Veröffentlichungen und Preprints

Forschung

25. (with Benjamin Eltzner, Stephan Huckemann and Wilderich Tuschmann) Stability of the cut locus and a Central Limit Theorem for Frechet means of Riemannian manifolds, preprint (2019).

24. (with Wilderich Tuschmann) Finiteness and realization theorems for Alexandrov spaces with bounded curvature, Boletin de la Sociedad Matematicatica Mexicana, in press.

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, Indiana University Mathematics Journal, in press. 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, Kyoto Journal of Mathematics, in press. 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.

Andere

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.






Aktualisiert: 1.9.2019.