Full list of postdocs, supervised theses (PhD, MSc, BSc), summer research stays, professional internships, and research fellows.

Interested in doing a thesis: email rogelio.perez [at] cimat.mx with your institution, level and topic of interest.

Courses and materials: Teaching.

Postdocs

• 2022–2024. Dr. Víctor Nopal Coello. Institution: CIMAT Mérida. Project: Non-Archimedean dynamical systems and applications to biology. Extension until December 2024.
• 2023–2025. Dr. Ángela Rocío Fuquen Tibatá. Institutions: IIMAS-UNAM and CIMAT Mérida. Project: p-adic mathematical models for branching corals. Co-supervisor: Dr. Yuriria Cortés Poza (IIMAS-UNAM).

PhD thesis supervision

• Luis Manuel Reyes. Institution: Faculty of Sciences, UNAM. Topic: Galois theories in period rings and p-adic representations. Start: January 2023. In progress.
• Jorge Robles Hernández. Institution: CIMAT. Topic: Non-Archimedean dynamics in period rings and the Fargues–Fontaine curve. Start: July 2023. In progress.

MSc thesis supervision

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• Jorge Alberto Robles Hernández. CIMAT Guanajuato. Thesis: The fundamental curve of p-adic Hodge theory and Fontaine’s program. Defense: 18 April 2023. Thesis (viewer).
• Edgar Mosqueda Camacho. UADY. Thesis: On the analytification functor in Berkovich spaces. Co-supervisor: Dr. Javier Arturo Díaz Vargas (UADY). Defense: 22 March 2023. Thesis (viewer).
• Luis Manuel Reyes. Faculty of Sciences, UNAM. Thesis: Galois correspondence in period rings. Defense: 16 February 2023. Thesis (viewer).
• Alejandro Holman Pérez Ayala. CIMAT Guanajuato. Thesis: Analytic construction of p-adic L-functions interpolating Bernoulli numbers. Defense: 30 November 2020. CIMAT institutional repository. Thesis (viewer).
• Mario Alberto Estrada. Universidad Autónoma de Zacatecas. Thesis: Batyrev’s theorem via p-adic integration. Thesis completed; not defended for personal reasons. Thesis (viewer).

BSc thesis supervision

• Víctor Daniel Reyes García. UJAT. Thesis: p-adic dynamical systems and p-adic neural networks with applications to biology. Co-supervisor: Dr. Miguel Ángel de la Rosa Castillo (IxM UJAT). Defense: 19 April 2023.
• Edgar Mosqueda Camacho. UADY-FMAT. Thesis: p-adic Newton polygons and the rationality of the zeta function of an algebraic variety over a finite field. Honourable mention, Premio Sotero Prieto 2021 (SMM). Defense: 28 October 2020.

In progress:

• Leonardo Manuel Canche Canto. UADY-FMAT. Topic: The Riemann–Roch theorem. Start: 2025.
• Rodrigo Félix Palmeros. IPN UPIIT (BSc in Data Science). Topic: Musical genre classification via Topological Data Analysis: persistent homology vs. traditional spectral descriptors. Co-supervisor: Mtro. Lenin Augusto Echavarría Cepeda (IPN UPIIT). Start: 2025.

Summer research stays

• 2020. Ernesto Antonio Reyes Ramírez. Home institution: DMAT, Universidad de Guanajuato. Topic: The geometry of monoids. AMC XXIX Summer. Host: CIMAT Mérida.
• 2019. Guadalupe Lizbeth Velasco Bolom. Home institution: UNACH. Topic: Monoids and toric varieties. DELFIN 2019 Summer. Host: CIMAT Mérida.
• 2019. Kenny Geovany Chin Parra. Home institution: UADY. Topic: Spectral sequences and profinite group cohomology. AMC 2019 Summer. Host: CIMAT Mérida.
• 2018. Ángel Moisés Flores. Home institution: UAN. Topic: The science of secrecy: cryptography. DELFIN 2018 Summer. Host: CIMAT Mérida.

Professional research internships

• 2024. Leonardo Manuel Canche Canto. UADY-FMAT. Period: 2 September – 6 December 2024. Activity: Algebraic geometry and applications; notes on the Riemann–Roch theorem. Currently BSc thesis student.
• 2019. Kenny Geovany Chin Parra. UADY-FMAT. Period: 9 January – 14 May 2019. Activity: Characterization of sextic equations by their Galois group.

Research fellows

• 2024. Esteban Sánchez Durán. Home institution: UABC. Period: July–December 2024. Project: Implementation and visualization of algorithms in p-adic dynamics. Project FORDECYT–PRONACES 217367/2019. Participation in ARQUIBIO 2024.

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