In this group we work on algebraic topology, homological algebra, group theory, representation theory and the interactions between these areas, as well as in their applications. For more details, you can find below each member's interests.

Current members

Researchers

  • José María Cantarero López. Tenure-track researcher A, SNI I.
    Interests Classifying spaces and generalizations, topological K-theory, cohomological techniques in group theory and representation theory, equivariant homotopy.
    Email: cantarero@cimat.mx
  • José Carlos Gómez Larrañaga. Full professor C, SNI III.
    Interests: Knot theory, Lusternik-Schnirelmann category, stratifolds and foams.
    Email: jcarlos@cimat.mx
  • José Luis León Medina. CONAHCYT postdoctoral researcher, SNI C.
    Interests: Homotopy theory, topological complexity, discrete Morse theory.
    Email: luis.leon@cimat.mx
  • Bernardo Villarreal Herrera. Postdoctoral researcher, SNI I.
    Interests: Spaces of homomorphisms, classifying spaces, partially ordered sets of cosets.
    Email: bernardo.villarreal@cimat.mx

Students

  • José María Castilla Cochegrus. B.Sc. student, Universidad Autónoma de Yucatán.
    Interests: Arrangements of hyperplanes, spaces of homomorphisms, homological algebra.
    Email: jose.cochegrus@gmail.com
  • Raúl David Gorocica Polanco. B.Sc. student, Universidad Autónoma de Yucatán.
    Interests: Directed homotopy theory.
    Email: raulgorocica@gmail.com
  • Gabriel Longatto Clemente. Ph.D. student, Universidade Federal de São Carlos, Brazil. Currently a visiting student at CIMAT Mérida.
    Interests: Topological K-theory, differential K-theory.
    Email: glclemente@estudante.ufscar.br

Associated members

The following people are researchers and students who are not physically at CIMAT Mérida, but associated to the group in some way.

  • Félix Fernández Méndez. Ph.D. student, IPN.
    Interests: Topological data analysis.
    Email:
  • Carlos Eduardo García Reyes. B.Sc. student, UNAM.
    Interests: Riesz spaces, data analysis.
    Email: carlosc23@ciencias.unam.mx
  • Víctor Adrián Meza Campa. B.Sc. students, Universidad Autónoma de Sinaloa.
    Interests: Quillen's conjecture, group rings, Kaplansky's conjectures.
    Email: victormeza.fcfm@uas.edu.mx

Previous members

  • Paul Quispe Cutipa. B.Sc. student, Universidad Nacional de San Agustín de Arequipa, Perú, February 2022-February 2024.
  • Mario Fuentes Rumí. Postdoctoral researcher, May-December 2023.
  • Cristian Fernando León Sierra. B.Sc. student in the program Pares Ordenados, Universidad Pedagógica y Tecnológica de Colombia. August-December 2023.
  • Víctor Antonio Torres Castillo. Ph.D. student, August 2019-September 2023.
  • Héctor Méndez Guerrero. B.Sc. student in the Delfín summer program, Universidad Veracruzana, June 26th-August 11th, 2023.
  • Víctor Adrián Meza Campa. B.Sc. student in the Delfín summer program, Universidad Autónoma de Sinaloa, July 3rd-August 18th, 2023.
  • Ramsés Alejandro García Abascal Ruíz. B.Sc. student in CIMAT Mérida's summer stay, UNAM, July 3rd-August 4th, 2023.
  • José María Castilla Cochegrus. B.Sc. student in CIMAT Mérida's summer stay, Universidad Autónoma de Yucatán, June 26th-July 21st, 2023.
  • Aldair Reyes González. B.Sc. student in CIMAT Mérida's summer stay, UNAM, June 26th-July 21st, 2023.
  • Juan Omar Gómez Rodríguez. Ph.D. student, August 2019-June 2023.
  • Christopher Oswaldo Zaragoza Moreno. Visiting M.Sc. student, Universidad Autónoma de Chiapas, January-June 2023.
  • Julián Andrés Montenegro Parra. B.Sc. student in the program Pares Ordenados, Universidad del Valle, Colombia, January 23th-Abril 28th 2023.
  • Arnold Cruz Montiel. B.Sc. student in the program Pares Ordenados, Universidad Nacional de San Agustín de Arequipa, Perú, January 23th-Abril 28th 2023.
  • Gustavo Navarrete Novelo. M.Sc. student, Universidad Autónoma de Yucatán, September 2020-October 2022.
  • Alffer Gustavo Hernández Posada. Ph.D. student, Universidade Federal de São Carlos, Brasil, July 2018-July 2022.
  • Jorge Eduardo Gaspar Lara. B.Sc. student, Universidad Nacional Autónoma de México, August 2018-October 2020.
  • Ángel Rolando Jiménez Cruz. M.Sc. student, Universidad Autónoma de Yucatán, August 2017-August 2019.
  • Carlos Gabriel Valenzuela Ruiz. Student in the Delfín summer program, Universidad Autónoma de Sinaloa, June 23rd-August 10th, 2019.
  • Felipe Noguera Rodríguez. Student in the Delfín summer program, Universidad de Colima, June 16th-August 3rd, 2019.
  • Karla Paulette Flores Silva. Student in the Delfín summer programn, Universidad de Colima, June 27th-August 14th, 2018.
  • Luis Carlos García Ramos. Student in the AMC summer program, Universidad de Guanajuato, June 25th-August 10th, 2018.
  • Jorge Eduardo Gaspar Lara. Student in the AMC summer program, Universidad Nacional Autónoma de México, June 17th-August 6th, 2018.
  • Arfaxard Sánchez Estrella. M.Sc. student, Universidad Autónoma de Yucatán, September 2015-October 2017.
  • Bárbara Mayela Gutiérrez Mejía. Postdoctoral researcher, CIMAT Mérida, April-July 2017.
  • Harom Rooel May May. M.Sc. student, Universidad Autónoma de Yucatán, August 2016-May 2017.
  • Antonio González Fernández. B.Sc. student, Universidad Autónoma de Yucatán, September 2015-September 2016.
  • Margarita Angélica Martínez López. M.Sc. student, CIMAT Mérida, September 2015-August 2016.

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