SUPERVISION OF POSTDOCTORAL RESEARCHERS
Mario Fuentes Rumí, CIMAT, 2023- .
Jose Luis León Medina, CIMAT, 2022- .
Bernardo Villarreal Herrera, CIMAT, 2022- .
Bárbara Mayela Gutiérrez Mejía, CIMAT, 2017.
DIRECTION OF THESES
Ph.D.
Gabriel Longatto Clemente (in co-supervisión with Fabio Ferrari), in progress, Universidade Federal de São Carlos, Brazil.
Víctor Antonio Torres Castillo (in co-supervision with Jérôme Scherer), in progress, CIMAT.
Thesis: Biset functors and the homotopy type of the classifying spectra of saturated fusion systems.
a target="_blank" href="https://sites.google.com/cimat.mx/juanomargomez/home">Juan Omar Gómez Rodríguez, in progress, CIMAT.
Thesis: On the Picard group of the stable module category for infinite groups.
Alffer Gustavo Hernández Posada (co-supervised with Fabio Ferrari), 2022, Universidade Federal de São Carlos, Brazil.
Thesis: Twisted Borel K-theory and isomorphisms between differential models of K-theory.
M.Sc.
Gustavo Navarrete Novelo (co-supervised with J. Matías Navarro), 2022, UADY.
Thesis: T-duality in equivariant K-theory. (In Spanish)
Ángel Rolando Jiménez Cruz (co-supervised with J. Matías Navarro), 2019, UADY.
Thesis: Invariants of configuration spaces of commuting elements. (In Spanish)
Arfaxard Sánchez Estrella (co-supervised with Javier A. Díaz), 2017, UADY.
Thesis: Transfer maps for finite transporter categories.
(In Spanish)
Margarita Angélica Martínez López (co-supervised with Herbert Kanarek), 2016, CIMAT.
Thesis: Homological invariants of EI categories.
B.Sc.
Paul Quispe Cutipa, (in co-supervision with Richard M. Mamani), in progress, Universidad Nacional de San Agustín de Arequipa, Perú.
Thesis: Smith theory and an introduction to Casacuberta-Dicks' conjecture.
Jorge Eduardo Gaspar Lara, 2020, UNAM.
Thesis: K-theory and fusion-invariant representations. (In Spanish)
Winner of the 2021 Sotero Prieto Award.
Antonio González Fernández (co-supervised with J. Efrén Pérez), 2016, UADY.
Thesis: Fusion systems for groups, actions and representations. (In Spanish)
Joseph Victor (co-supervised with Gunnar Carlsson), 2013, Stanford University.
Thesis: Stable homotopy groups of spheres and the Hopf invariant one problem.
Winner of an Undergraduate Research Award 2013 of the department of mathematics of Stanford University.