Institutos Universitarios

Luis Hernández Corbato

Profesor Contratado Doctor (Associate Professor)
Department of Algebra, Geometry and Topology
School of Mathematical Sciences
Complutense University of Madrid
910183 Dinámica, geometría y topología

 

 

 

Bio

Profesor Ayudante Doctor at UPM (Madrid), 2020-2022.
Profesor Ayudante Doctor at UPM (Madrid), 2017-2019.
Juan de la Cierva Formación at ICMAT (Madrid), 2016-2017.
Postdoc at IMPA (Rio de Janeiro, Brazil), 2013-2015
PhD in Mathematics, UCM, 2013.

 

Research interests

Topological dynamics: surface dynamics, prime ends, algebraic topological aspects, Conley index. Symplectic and contact geometry.

 

Latest Publications

  • H. Barge, L. Hernández-Corbato: On the growth rate inequality for self-maps of the sphere, accepted for publication in Indiana Univ. Math. J., https://arxiv.org/abs/2301.08543
  • L. Hernández-Corbato, D. Nieves-Rivera, F. R. Ruiz del Portal, J. Sánchez-Gabites: On the components of the unstable set of isolated invariant sets, Topology Appl. 339 (2023), Paper No. 108581.
  • A. Gasull, L. Hernández-Corbato, F. R. Ruiz del Portal: Parrondo's paradox for homoeomorphisms, Proc. Roy. Soc. Edinburgh Sect. A 152 (2022), no. 4, 817–825.
  • L. Hernández-Corbato, L. Martín-Merchán, F. Presas: Tight neighborhoods of contact submanifolds, J. Symplectic Geom., 18 (2020) 1629–1646.
  • L. Hernández-Corbato, D. Nieves-Rivera, F. R. Ruiz del Portal, J. Sánchez-Gabites: Dynamics and eigenvalues in dimension zero, Ergod. Th. Dyn. Syst., 40 (2020) 2434–2452.
  • L. Hernández-Corbato, F. R. Ruiz del Portal, J. Sánchez-Gabites: Infinite series in cohomology: attractors and Conley index, Math. Z. 294 (2020) 1127–1180.