![Diego Corro Tapia](https://profiles-cardiff.imgix.net/attachments/4821?w=200&h=200&auto=format&crop=faces&fit=crop&q=90")
Overview
I am a research mathematician interested in the interplay between the analysis, geometry, and topology of metric spaces via the study of their "symmetries".
Most of my research is in the context of considering singular foliations, metric foliations and group actions as a notion of "symmetry" for metric spaces. The metric spaces I consider include Riemannian manifolds, Alexandrov spaces, RCD-spaces, and Hilbert and Fréchet manifolds.
Publication
2023
- Corro, D. 2023. A-foliations of codimension two on compact simply-connected manifolds. Mathematische Zeitschrift 304(4), article number: 63. (10.1007/s00209-023-03317-3)
2022
- Corro, D., Fernandez, J. C. and Perales, R. 2022. Yamabe problem in the presence of singular Riemannian Foliations. Calculus of Variations and Partial Differential Equations 62(1), article number: 26. (10.1007/s00526-022-02359-5)
- Corro, D. and Moreno, A. 2022. Core reduction for singular Riemannian foliations and applications to positive curvature. Annals of Global Analysis and Geometry 62(3), pp. 617–634. (10.1007/s10455-022-09856-y)
- Corro, D., Núñez-Zimbrón, J. and Zarei, M. 2022. Torus actions on Alexandrov 4-spaces. Journal of Geometric Analysis 32(8), article number: 214. (10.1007/s12220-022-00935-x)
2021
- Campagnolo, C. and Corro, D. 2021. Integral foliated simplicial volume and circle foliations. Journal of Topology and Analysis 15(1), pp. 155-184. (10.1142/S1793525321500266)
- Corro, D., Garcia, K., Günther, M. and Kordaß, J. 2021. Bundles with even-dimensional spherical space form as fibers and fiberwise quarter pinched Riemannian metrics. Proceedings of the American Mathematical Society 149(12), pp. 5407-5416. (10.1090/proc/15649)
- Corro, D. and Kordaß, J. 2021. Short survey on the existence of slices for the space of Riemannian metrics. In: Galaz-García, F., González-Tokman, C. and Pardo Millán, J. C. eds. Mexican Mathematicians in the World: Trends and Recent Contributions., Vol. 775. Contemporary Mathematics AMS, pp. 65-84., (10.1090/conm/775/15589)
2020
- Corro Tapia, D. and Galaz García, F. 2020. Positive Ricci curvature on simply-connected manifolds with cohomogeneity-two torus actions. Proceedings of the American Mathematical Society 148(7), pp. 3087-3097. (10.1090/proc/14961)
Articles
- Corro, D. 2023. A-foliations of codimension two on compact simply-connected manifolds. Mathematische Zeitschrift 304(4), article number: 63. (10.1007/s00209-023-03317-3)
- Corro, D., Fernandez, J. C. and Perales, R. 2022. Yamabe problem in the presence of singular Riemannian Foliations. Calculus of Variations and Partial Differential Equations 62(1), article number: 26. (10.1007/s00526-022-02359-5)
- Corro, D. and Moreno, A. 2022. Core reduction for singular Riemannian foliations and applications to positive curvature. Annals of Global Analysis and Geometry 62(3), pp. 617–634. (10.1007/s10455-022-09856-y)
- Corro, D., Núñez-Zimbrón, J. and Zarei, M. 2022. Torus actions on Alexandrov 4-spaces. Journal of Geometric Analysis 32(8), article number: 214. (10.1007/s12220-022-00935-x)
- Campagnolo, C. and Corro, D. 2021. Integral foliated simplicial volume and circle foliations. Journal of Topology and Analysis 15(1), pp. 155-184. (10.1142/S1793525321500266)
- Corro, D., Garcia, K., Günther, M. and Kordaß, J. 2021. Bundles with even-dimensional spherical space form as fibers and fiberwise quarter pinched Riemannian metrics. Proceedings of the American Mathematical Society 149(12), pp. 5407-5416. (10.1090/proc/15649)
- Corro Tapia, D. and Galaz García, F. 2020. Positive Ricci curvature on simply-connected manifolds with cohomogeneity-two torus actions. Proceedings of the American Mathematical Society 148(7), pp. 3087-3097. (10.1090/proc/14961)
Book sections
- Corro, D. and Kordaß, J. 2021. Short survey on the existence of slices for the space of Riemannian metrics. In: Galaz-García, F., González-Tokman, C. and Pardo Millán, J. C. eds. Mexican Mathematicians in the World: Trends and Recent Contributions., Vol. 775. Contemporary Mathematics AMS, pp. 65-84., (10.1090/conm/775/15589)
Biography
I obtained my Doctor rerum naturalium degree from the KIT in 2018.
Since then I have held research positions at the Institute of Mathematics of UNAM, Campus Oaxaca, and have been a PI in the DFG Special Priority Program "Geometry at Infinity" at Cologne University and the KIT.
Professional memberships
- Member of the American Mathematical Soceity.
- Member of the Mexican Mathematical Soceity (SMM).
Contact Details
Research themes
Specialisms
- Differential Geometry
- Differential Topology
- Foliations
- Geometric analysis