SUPERVISION OF POSTDOCTORAL RESEARCHERS

Jose Luis León Medina, CIMAT, 2022- .

Bernardo Villarreal Herrera, CIMAT, 2022-2025.

Mario Fuentes Rumí, CIMAT, 2023.

Bárbara Mayela Gutiérrez Mejía, CIMAT, 2017.

DIRECTION OF THESES



Ph.D.

Ángel Rolando Jiménez Cruz, in progress, CIMAT.

Gabriel Longatto Clemente (in co-supervision with Fabio Ferrari), in progress, Universidade Federal de São Carlos, Brazil.

Víctor Antonio Torres Castillo (co-supervised with Jérôme Scherer), 2023, CIMAT.
Thesis: Biset functors and the homotopy type of the classifying spectra of saturated fusion systems.

Juan Omar Gómez Rodríguez, 2023, 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.

Josué Eduardo Maldonado Galindo (in co-supervision with Alonso Castillo), in progress, Universidad de Guadalajara.

Víctor Adrián Meza Campa, in progress, CIMAT.

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.

José Nicolás Reyes Gómez (in co-supervision with J. Aguilar), in progress, Instituto Politécnico Nacional.

Raúl David Gorocica Polanco, in progress, UADY.
Thesis: Directed structures for Lie groups.

José María Castilla Cochegrus, in progress, UADY.

Víctor Adrián Meza Campa, 2024, Universidad Autónoma de Sinaloa.
Thesis: The group ring and Kaplansky's conjectures. (In Spanish)

Paul Quispe Cutipa, (co-supervised with Richard M. Mamani), 2024, 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.

SUPERVISION OF INTERNSHIPS

José Eduardo Estrella Cetz, 2024-2025, UADY.
Project: The Atiyah-Singer index theorem.

José María Castilla Cochegrus, 2024, UADY.
Project: An introduction to stable homotopy theory.