Staff profile
Overview
https://internal.durham.ac.uk/images/profiles/21900/Maths2022-39Galaz-Garcia.jpg
Fernando Galaz-García
Associate Professor, Geometry
PhD University of Maryland College Park; Habilitation Karlsruhe Institute of Technology (KIT)

Affiliation | Room number | Telephone |
---|---|---|
Associate Professor, Geometry in the Department of Mathematical Sciences | MCS3085 | +44 (0) 191 33 43110 |
Research interests
- Differential Geometry
- Metric Geometry
- Transformation Groups
- Geometric Topology
Research groups
- Pure Mathematics
- Pure Mathematics: Geometry
Esteem Indicators
- 0000: 2018-Present: Associate Editor, Boletín de la Sociedad Matemática Mexicana
Publications
Chapter in book
- Galaz-García, Fernando & Núñez-Zimbrón, Jesús (2022). Three-dimensional Alexandrov spaces: A survey. In Recent Advances in Alexandrov Geometry. Arizmendi Echegaray, Gerardo, Hernández-Lamoneda, Luis & Herrera Guzmán, Rafael Springer. 49-88.
- Galaz-García, Fernando, Guijarro, Luis & Núñez-Zimbrón, Jesús (2020). Collapsed 3-Dimensional Alexandrov Spaces: A Brief Survey. In Differential Geometry in the Large. Dearricott, Owen, Tuschmann, Wilderich Nikolayevsky,Yuri, Leistner, Thomas & Crowley, Diarmuid Cambridge: Cambridge University Press. 463: 291-310.
- Galaz-Garcia, Fernando (2014). A Note on Maximal Symmetry Rank, Quasipositive Curvature, and Low Dimensional Manifolds. In Geometry of Manifolds with Non-negative Sectional Curvature. Springer. 2110: 45-55.
Edited book
- Galaz-García, Fernando Pardo Millán, Juan Carlos & Solórzano, Pedro (2018). Contributions of Mexican Mathematicians Abroad in Pure and Applied Mathematics. Contemporary Mathematics. American Mathematical Society.
- Bárcenas, Noé Galaz-García, Fernando & Moreno Rocha, Mónica (2016). Mexican Mathematicians Abroad. Contemporary Mathematics. American Mathematical Society.
Journal Article
- Cibotaru, Daniel & Galaz-García, Fernando (Accepted). Kurdyka–Łojasiewicz functions and mapping cylinder neighborhoods. Annales de l'Institut Fourier
- Frenck, Georg, Galaz‐García, Fernando & Reiser, Philipp (2022). Cohomogeneity one manifolds and homogeneous spaces of positive scalar curvature. Bulletin of the London Mathematical Society 54(1): 71-82.
- DeVito, Jason, Galaz-García, Fernando & Kerin, Martin (2022). Manifolds that admit a double disk-bundle decomposition. Indiana University Mathematics Journal
- Eltzner, Benjamin, Galaz-García, Fernando Huckemann, Stephan F. & Tuschmann, Wilderich (2021). Stability of the cut locus and a Central Limit Theorem for Fréchet means of Riemannian manifolds. Proceedings of the American Mathematical Society 149(9): 3947-3963
- Galaz-García, F., Kerin, M. & Radeschi, M. (2021). Torus actions on rationally elliptic manifolds. Mathematische Zeitschrift 297: 197-221.
- Galaz-García, Fernando & Zarei, Masoumeh (2020). Cohomogeneity one Alexandrov spaces in low dimensions. Annals of Global Analysis and Geometry 58(2): 109-146.
- Corro, Diego & Galaz-García, Fernando (2020). Positive Ricci curvature on simply-connected manifolds with cohomogeneity-two torus actions. Proceedings of the American Mathematical Society 148(7): 3087-3097.
- Galaz-García, Fernando & Núñez-Zimbrón, Jesús (2020). Three-dimensional Alexandrov spaces with local isometric circle actions. Kyoto Journal of Mathematics 60(3): 801-823.
- Galaz-García, Fernando & Tuschmann, Wilderich (2020). Finiteness and realization theorems for Alexandrov spaces with bounded curvature. Boletín de la Sociedad Matemática Mexicana 26(2): 749-756.
- Galaz-García, Fernando, Guijarro, Luis & Núñez-Zimbrón, Jesús (2020). Sufficiently collapsed irreducible Alexandrov 3-spaces are geometric. Indiana University Mathematics Journal 69(3): 977-1005.
- Galaz-García, Fernando, Kell, Martin, Mondino, Andrea & Sosa, Gerardo (2018). On quotients of spaces with Ricci curvature bounded below. Journal of Functional Analysis 275(6): 1368-1446.
- Galaz-García, Fernando & Zarei, Masoumeh (2018). Cohomogeneity one topological manifolds revisited. Mathematische Zeitschrift 288(3-4): 829-853.
- Deng, Qintao, Galaz-García, Fernando, Guijarro, Luis & Munn, Michael (2018). Three-Dimensional Alexandrov Spaces with Positive or Nonnegative Ricci Curvature. Potential Analysis 48(2): 223-238.
- Galaz-García, Fernando, Kerin, Martin, Radeschi, Marco & Wiemeler, Michael (2018). Torus Orbifolds, Slice-Maximal Torus Actions, and Rational Ellipticity. International Mathematics Research Notices 2018(18): 5786-5822.
- Galaz-García, Fernando (2016). A glance at three-dimensional Alexandrov spaces. Frontiers of Mathematics in China 11(5): 1189-1206.
- Galaz-Garcia, Fernando & Radeschi, Marco (2015). Singular Riemannian foliations and applications to positive and non-negative curvature. Journal of Topology 8(3): 603-620.
- Galaz-García, Fernando & Guijarro, Luis (2015). Every point in a Riemannian manifold is critical. Calculus of Variations and Partial Differential Equations 54(2): 2079-2084.
- Galaz-Garcia, Fernando & Searle, Catherine (2014). Nonnegatively curved 5–manifolds with almost maximal symmetry rank. Geometry & Topology 18(3): 1397-1435.
- Galaz-Garcia, Fernando & Guijarro, Luis (2014). On Three-Dimensional Alexandrov Spaces. International Mathematics Research Notices 2015(14): 5560-5576.
- Galaz-Garcia, Fernando & Spindeler, Wolfgang (2014). Erratum to: Nonnegatively curved fixed point homogeneous 5-manifolds. Annals of Global Analysis and Geometry 45(2): 151-153.
- Galaz-Garcia, Fernando & Kerin, Martin (2014). Cohomogeneity-two torus actions on non-negatively curved manifolds of low dimension. Mathematische Zeitschrift 276(1-2): 133-152.
- Galaz-Garcia, Fernando & Guijarro, Luis (2013). Isometry groups of Alexandrov spaces. Bulletin of the London Mathematical Society 45(3): 567-579.
- Galaz-Garcia, Fernando & Spindeler, Wolfgang (2012). Nonnegatively curved fixed point homogeneous 5-manifolds. Annals of Global Analysis and Geometry 41(2): 253-263.
- Galaz-Garcia, Fernando (2012). Nonnegatively curved fixed point homogeneous manifolds in low dimensions. Geometriae Dedicata 157(1): 367-396.
- Galaz-Garcia, Fernando & Searle, Catherine (2011). Cohomogeneity one Alexandrov spaces. Transformation Groups 16(1): 91-107.
- Galaz-Garcia, Fernando & Searle, Catherine (2010). Low-dimensional manifolds with non-negative curvature and maximal symmetry rank. Proceedings of the American Mathematical Society 139(7): 2559-2564.
- Galaz-Garcia, Fernando (2009). Bounds on Characteristic Numbers by Curvature and Radius. Rocky Mountain Journal of Mathematics 39(4): 1225-1231.
- Galaz-Garcia, Fernando (2008). Examples of 4-manifolds with almost nonpositive curvature. Differential Geometry and its Applications 26(6): 697-703.
Supervision students
Mauricio Che
3P
Mohammad Al-attar
1P