Rogelio Pérez Buendía

Curriculum Vitae

Tue, 12 May 2026 00:00:00 +0000

Jesús Rogelio Pérez Buendía

Researcher for Mexico · SECIHTI · CIMAT Mérida Unit

· · ·

Research Interests

Arithmetic geometry, p-adic methods, p-adic Hodge theory, non-Archimedean dynamics, biomathematics, cryptography, mathematics outreach.

Current Position

Researcher for Mexico (SECIHTI), assigned to the Centro de Investigación en Matemáticas (CIMAT), Mérida Unit. October 2016 – present. Project No. 779: Strengthening mathematical and scientific computing capacities in the State of Yucatán.

Current Accreditations

Accreditation	Validity
SNII (National System of Researchers and Innovators)	2024–2026 (extension accepted)
REI (State Registry of Researchers, Government of Yucatán)	Active since August 2023
Sociedad Matemática Mexicana (SMM)	Active member 2025–2026

Education

Degree	Institution	Year	Advisor
Ph.D. in Mathematics	Concordia University, Montreal, Canada	2014	Dr. Adrian Iovita
M.Sc. in Mathematics	IMATE-UNAM. GPA 10/10	2001	Dr. Javier Elizondo Huerta
B.Sc. in Mathematics	UNAM, Facultad de Ciencias. Premio Sotero Prieto 2001 (SMM)	1999	Dr. Javier Elizondo Huerta

Doctoral and degree theses:

Ph.D.: A Crystalline Criterion for Good Reduction on Semi-stable K3-Surfaces over a p-Adic Field.
M.Sc.: Sobre los Modelos de Néron para Curvas Elípticas.
B.Sc.: Las Conjeturas de Weil para Hipersuperficies de Fermat.

Research Projects

Unconventional mathematical and computational models (2019–2025)

Principal Investigator: Dra. Yuriria Cortés Poza (IIMAS–UNAM, Mérida Unit)
Technical Co-PI: Jesús Rogelio Pérez Buendía (SECIHTI, CIMAT–Mérida)
Grant No.: CF/217367/2019. Modality: group, multidisciplinary.
Models applied to systems biology, genetics and ecology (p-adic dynamics, algebraic geometry, categorical logic). Participants include UNAM, CIMAT, CINVESTAV, UV, UJAT, UNISON, Warwick–Oxford, among others.

Arithmetic geometry, non-Archimedean dynamics and Fargues–Fontaine (2024–2025)

Technical PI: Jesús Rogelio Pérez Buendía (CIMAT–Mérida)
Program: CICIMPI 2024
Geometric and dynamical structures on the Fargues–Fontaine curve; dynamical models on Berkovich spaces; categorical formulation of arithmetic dynamical systems.

Geometric and topological properties of algebraic varieties (2018–2021)

Principal Investigator: Dr. Xavier Gómez Montávalos (CIMAT–Guanajuato)
Participants: Dr. José Jaime Hernández (CIMAT–Monterrey), Jesús Rogelio Pérez Buendía (CIMAT–Mérida)
Institutional SECIHTI project, collaboration between CIMAT Guanajuato, Monterrey and Mérida.

Awards and Honors

Year	Award	Institution
2024–2026	SNII – Extension accepted	SECIHTI
2022	CIMAT 40th Anniversary Recognition – Contribution to academic life	CIMAT
2010	FQRNT – Bourse d’excellence pour étudiants étrangers (MELS)	Government of Québec, Canada
2009	Power Corporation Graduate Fellowship	Power Corporation of Canada
2001	Premio Sotero Prieto – Best undergraduate thesis in mathematics (2000)	Sociedad Matemática Mexicana
1998	TELMEX Scholarship – Academic excellence	Fundación TELMEX

Languages

Language	Level
Spanish	Native
English	Professional / Fluent (90%)
French	Upper-Intermediate (65%)

Recent institutional records (local vault, May 2026)

Paths are relative to the academic dossier CV completo 2026/_SNI/ (not published on the public site).

Frontiers of Science (CBF-2025-I-797) – technical report (participant): 2026/05-proyectos/2026-CIMAT-InformeTecnico-FronterasII.pdf
CIMAT–UADY academic collaboration bundle (colloquia, courses, examining boards): 2026/07-vinculacion/2026-CIMAT-UADY-BundleColabCursosColoquio.pdf
RSME Gaceta – signed author certificate (SMM circuit): 2026/03-divulgacion/2026-GacetaSMM-CertifAutor.pdf
SEIR-Yucatán – UNAM–CIMAT technical report PDF: 2026/06-software/2026-UNAM-CIMAT-InformeTecnico-SEIR-Yucatan-COVID-v1.pdf

Other Sections

Publications: See the .

Teaching and student supervision: · .

Working groups and research: See the .

Conferences and events: See the .

Outreach and media: See the .

Galois Correspondences for Representations

Wed, 06 May 2026 00:00:00 +0000

Reyes de la Luz, L. M., & Pérez-Buendía, J. R. (2026). Galois Correspondences for Representations. Accepted (in press) for the Springer volume Mathematics in the Caribbean (ICMAM Central America and the Caribbean 2025).

Note: The manuscript PDF and acceptance certificate are kept as internal evidence (SNII). They are not published on this site.

Dualidad de Stone y espacios profinitos. Una introducción desde la aritmética

Thu, 30 Apr 2026 00:00:00 +0000

Pérez-Buendía, J. R. (2026). Dualidad de Stone y espacios profinitos. Una introducción desde la aritmética (title in Spanish). Accepted for publication in La Gaceta de la Real Sociedad Matemática Española (ISSN 1138-8927), vol.29, no.2 (2026)..

The remains at .

Una interpretación variacional del teorema integral de Cauchy

Mon, 27 Apr 2026 00:00:00 +0000

Pérez-Buendía, J. R. (2026). Una interpretación variacional del teorema integral de Cauchy (title in Spanish). Accepted for publication in Laberintos & Infinitos (Instituto Tecnológico Autónomo de México), issue 57 (spring 2026)..

Outreach note; homage to Emilio Cortés Reyna (UAM Iztapalapa).

p-adic numbers as a multiscale observation lens — IIMAS–UNAM Yucatán seminar

Fri, 24 Apr 2026 12:00:00 -0600

Seminar at IIMAS–UNAM Yucatán, 24 April 2026, 12:00–13:00.

Slides: .

Certificate: On file (certificate of presentation dated 23 April 2026; not available for public download).

Full abstract (Spanish): .

Geometry of hierarchy — FMAT–CIMAT Colloquium (22 April 2026)

Wed, 22 Apr 2026 11:00:00 -0600

Talk at the FMAT–CIMAT Colloquium (UADY–CIMAT Mérida), Wednesday 22 April 2026, 11:00, Room C8, Faculty of Mathematics, UADY (Mérida, Yucatán).

Full programme text and abstract (Spanish): . Talk video: .

"How do multiplication tables look?" — Sierra Papacal primary school (2026)

Fri, 20 Mar 2026 00:00:00 +0000

What this event is

Outreach mathematics talk How do multiplication tables look? Curiosities and secrets of algebra and geometry, delivered at Sierra Papacal primary school (Mérida area, Yucatán) on 20 March 2026, within the Divulgando-Mateamor programme with MateMayab (CIMAT-Mérida) and the CIMAT–PCTY ecosystem.

Talk outline

Motivation: multiplication tables are not only rote memorisation—they can be drawn and reveal unexpected shapes.
Core ideas: patterns, symmetry, a geometric reading of simple operations, and curves that appear when products are plotted in different representations (related to the earlier outreach talk on the Spanish site).
Style: primary-school friendly language; emphasis on exploration, visual examples and participation.

Practical information


When	20 March 2026
Where	Sierra Papacal primary school, Yucatán
Format	In-school outreach visit
Speaker	Jesús Rogelio Pérez Buendía (CIMAT-Mérida)

Slides and online context

Slides: the Presentation (PDF) button opens this site’s built-in viewer (page-by-page). The file slides.pdf must be deployed at static/slides/curvas-tablas-multiplicar-2026/ on the server.
Broader outreach context (MateMayab, other school visits): see the section (English navigation; underlying event pages may remain in Spanish).

The same outreach cycle around CIMAT-Mérida and PCTY included other visits (e.g. Ateneo de Progreso primary school); photos and narrative are on the Spanish hub alongside this talk.

Full authoritative wording of this event page is kept in Spanish: .

From preimage trees to modular dynamics — CIMAT Mathematics showcase 2026

Fri, 27 Feb 2026 09:30:00 +0000

Talk at the CIMAT Mathematics showcase, CIMAT-Mérida, 27 February 2026, 9:30–10:30, Room K201.

Full description (Spanish): .

P-ADAGIO

Sat, 07 Feb 2026 00:00:00 +0000


Acronym	P-ADAGIO
Full name	P-adic Arithmetic, Dynamics And Galois-Informed Observations
Motto	In silentio numerorum, resonat sapientia.
Status	Multi-institutional research group
Main institution	CIMAT, Mérida Unit
Orientation	p-adic and non-archimedean methods in arithmetic geometry, algebra, dynamics; with extensions to natural sciences and foundations.

Mission

To develop frontier p-adic and non-archimedean mathematics —in number theory, arithmetic geometry, and dynamical systems— and translate its methods towards open problems in natural sciences and philosophy of science, training researchers with structural vision and conceptual rigor.

Objectives

Original research in geometry of p-adic spaces, Galois representations, and dynamics over ultrametric fields.
Interdisciplinary applications: p-adic modeling of gene regulatory networks, morphogenesis, mathematical biology, and physics.
Human resources training: supervision of PhD and master’s theses, postdoctoral stays, and undergraduate research programs.
Outreach and dissemination: summer schools, graduate courses, and open-access publications.
Multi-institutional collaboration: CIMAT, UNAM, IIMAS, and international institutions.

Research Lines

p-adic arithmetic geometry — K3 surfaces, Fargues-Fontaine curve, p-adic Hodge theory, cohomologies.
Galois representations — arboreal and p-adic representations, good reduction criteria, Galois correspondences.
Arithmetic dynamics — dynamics over local fields, p-adic preimage trees, modular dynamics.
p-adic methods in biology — p-adic models of gene regulatory networks, reaction-diffusion on ultrametric spaces, morphogenesis.
Foundations and philosophy — condensed mathematics, toposes and dynamics, non-archimedean structures in science.

Group Description

P-ADAGIO is a research group dedicated to the study and development of p-adic and non-archimedean methods in arithmetic geometry, algebra, and dynamical systems, and to their intersections with the natural sciences and structural thought.

Our approach begins from mathematical rigor —in particular from the geometry of p-adic spaces, Galois representations, and dynamics defined over ultrametric fields— and extends to applied contexts in physics, chemistry, biology, genetics, and also toward the foundations of philosophy of science.

We conceive mathematics as a language capable of modeling not only the quantifiable, but also the profound: the discrete, the irregular, the ramified. We explore structures that do not follow the traditional measure, because —for us— life itself is non-archimedean.

Team Members

Founder and academic lead:

Dr. Jesús Rogelio Pérez Buendía — SECIHTI / CIMAT, Mérida Unit. Arithmetic geometry, Galois representations, p-adic dynamics.

Collaborating researchers:

Dr. Víctor Nopal Coello — CIMAT. Non-archimedean dynamical systems, mathematical biology, p-adic gene regulatory networks.
Dr. Ángela Fuquén Tibatá — IIMAS, UNAM / CIMAT Mérida. p-adic models of coral morphogenesis.
Dr. Yuriria Cortés Poza — IIMAS, UNAM. Mathematical modeling in biology and epidemiology.

PhD students:

M.Sc. Jorge Robles Hernández — PhD in Mathematics, CIMAT. Topologies on the period ring B_dR.
M.Sc. Luis Manuel Reyes de la Luz — PhD in Mathematical Sciences, FC-UNAM. Galois correspondence in period rings and the Fargues-Fontaine curve.

Group Output

Publications, conferences, and events tagged with P-ADAGIO are listed automatically:

The p-adic tree with graph at the root that appears on the is a visualization associated with P-ADAGIO.

Interested in joining P-ADAGIO?

If you wish to join as a collaborating researcher, carry out your thesis, or a research stay, write to us: rogelio.perez [at] cimat.mx

Collaborating researcher → subject: P-ADAGIO – Interest as collaborating researcher
Graduate student → subject: P-ADAGIO – Interest as graduate student (thesis)
Undergraduate student → subject: P-ADAGIO – Interest as undergraduate student
Research stay or internship → subject: P-ADAGIO – Research stay or scientific internship

How to cite P-ADAGIO in articles

Option A (secondary affiliation):

“P-ADAGIO (P-adic Arithmetic, Dynamics And Galois-Informed Observations), multi-institutional research group.”

Option B (acknowledgments):

“Author is affiliated with the P-ADAGIO research group (P-adic Arithmetic, Dynamics And Galois-Informed Observations).”

Option C (Funding/Acknowledgments):

“This work was developed within the P-ADAGIO research group framework (P-adic Arithmetic, Dynamics And Galois-Informed Observations), CIMAT Mérida Unit / SECIHTI.”

P-ADAGIO

Sat, 07 Feb 2026 00:00:00 +0000

P-ADAGIO (P-adic Arithmetic, Dynamics And Galois-Informed Observations) is a multi-institutional research group led from CIMAT, Mérida Unit, dedicated to the development of p-adic and non-archimedean methods in arithmetic geometry, algebra, and dynamical systems, with extensions to natural sciences and foundations.

Motto: In silentio numerorum, resonat sapientia.

→

Rational Interpreters for Discrete Dynamics: Existence, Exactness, and Decomposition over p-adic Fields

Sun, 01 Feb 2026 00:00:00 +0000

Preprint. Pérez-Buendía, J. R. (2026). Rational Interpreters for Discrete Dynamics: Existence, Exactness, and Decomposition over p-adic Fields. arXiv:2602.05433.

A p-adic reaction-diffusion model of branching coral growth and calcification dynamics

Thu, 01 Jan 2026 00:00:00 +0000

Fuquen-Tibatá, A., Cortés-Poza, Y., & Pérez-Buendía, J. R. (2026). Journal of Mathematical Biology, 92(2), 27.

Hierarchical p-Adic Framework for Gene Regulatory Networks: Theory and Stability Analysis

Thu, 01 Jan 2026 00:00:00 +0000

Pérez-Buendía, J. R., & Nopal-Coello, V. (2026). Hierarchical p-Adic Framework for Gene Regulatory Networks: Theory and Stability Analysis. Submitted to Chaos, Solitons & Fractals (Elsevier). [math.DS; q-bio.MN].

A Dynamical Néron–Ogg–Shafarevich Criterion via Orbital Arboreal Representations

Wed, 12 Nov 2025 00:00:00 +0000

Pérez-Buendía, J. R. (2025). A Dynamical Néron–Ogg–Shafarevich Criterion via Orbital Arboreal Representations. arXiv:2510.23097. Submitted to Research in Number Theory (Springer).

This paper establishes a dynamical Néron–Ogg–Shafarevich type criterion for good reduction of rational maps over non-archimedean local fields, framed in the theory of orbital arboreal representations. The criterion refines the pointwise work of Benedetto and produces a canonical, orbit-invariant Galois object encoding the reduction of the dynamical system.

El mar que envuelve a las piedras: espacios de Stone, profinitos y su papel en la aritmética contemporánea

Sat, 01 Nov 2025 00:00:00 +0000

Preprint (en español). Pérez-Buendía, J. R. (2025). El mar que envuelve a las piedras: espacios de Stone, profinitos y su papel en la aritmética contemporánea. arXiv:2511.21128.

A short Spanish version has been accepted in La Gaceta de la RSME (vol. 29, no. 2, 2026), under the title Dualidad de Stone y espacios profinitos. Una introducción desde la aritmética — .

Hierarchical dynamics in genetic regulatory networks via p-adic rational approximations — LVIII SMM 2025

Thu, 23 Oct 2025 00:00:00 +0000

Talk at the LVIII National Congress of the Mexican Mathematical Society (2025), session Conexiones p-ádicas: Análisis, Álgebra, Geometría y Aplicaciones (BUAP, Puebla). Arabidopsis as motivating case; local p-adic rational interpolations; stability index μ. With Víctor Nopal Coello.

Dynamic Topoi and Temporal Sites: A Categorical Framework for Arithmetic Dynamics — LVIII SMM 2025

Wed, 22 Oct 2025 00:00:00 +0000

Talk at the 58th National Congress of the Mexican Mathematical Society (20–24 October 2025, BUAP, Puebla), Number Theory session.

The previous page on this site used a preliminary-program title (“A bridge towards a Dynamic Hodge Theory”) that was not given as the official talk title; the title above matches the SMM speaker certificate.

Galois Correspondences for Representations

Wed, 01 Jan 2025 00:00:00 +0000

Reyes de la Luz, L. M., & Pérez-Buendía, J. R. (2026). Galois Correspondences for Representations. In: Mathematics in the Caribbean (ICMAM Latin America 2025). Springer.

Accepted chapter for the collective volume Mathematics in the Caribbean, ICMAM Latin America 2025. Acceptance certificate issued by Prof. Dr. Duván Cardona (Editor in Chief of the Springer Editorial Project, ICMAM Latin America; Ghent University / FWO, Belgium).

Gluing dynamics: ε-precision in solving a non-Archimedean inverse problem

Wed, 01 Jan 2025 00:00:00 +0000

Nopal Coello, V., & Pérez-Buendía, J. R. (2025). Boletín de la Sociedad Matemática Mexicana, 31, 52.

La curva de Fargues–Fontaine: una motivación al estudio de la teoría de representaciones de Galois p-ádicas

Wed, 01 Jan 2025 00:00:00 +0000

Robles Hernández, J. A., & Pérez-Buendía, J. R. (2025). Sometido 2024, publicado 2025.

ARQUIBIO 2024 — Tercer Encuentro de Biología Matemática y Métodos no Arquimedianos

Sun, 03 Nov 2024 00:00:00 +0000

— CIMAT-Mérida, IIMAS-Mérida. Sotuta de Peón, Yucatán. Modalidad híbrida.

GEOTOP-A 2024 — International Conference on Applications of Geometry and Topology

Mon, 08 Jan 2024 00:00:00 +0000

GEOTOP-A 2024 — International Conference on Applications of Geometry and Topology (8–13 January 2024). I served as co-organizer and session chair for the session Application of Geometry and Topology to Biology. I did not give a talk at this conference.

Álgebra conmutativa

Mon, 01 Jan 2024 00:00:00 +0000

¿Qué es?

El álgebra conmutativa estudia anillos conmutativos, ideales, módulos, localización y completación. Es el lenguaje algebraico de la geometría algebraica (esquemas afines, gavillas) y de la teoría de números (anillos de enteros, extensiones). Incluye teoría de eliminación, bases de Gröbner y álgebra homológica.

Mi trabajo en este tema

Publicaciones: , , , . Notas y material: , .

Cursos: , , , .

Events: (co-organization, no talk), , .

Geometría aritmética, dinámica no arquimediana y curva de Fargues–Fontaine

Mon, 01 Jan 2024 00:00:00 +0000

Estudio de estructuras geométricas y dinámicas sobre la curva de Fargues–Fontaine, anillos de períodos como espacios condensados, modelos dinámicos en espacios de Berkovich, aplicaciones en redes de regulación genética y formulación categórica de sistemas dinámicos aritméticos. Incluye formación de recursos humanos (doctorado) y resultados como el artículo Gluing dynamics (Nopal Coello & Pérez-Buendía, Boletín SMM 31, 52, 2025).

Geometría logarítmica

Mon, 01 Jan 2024 00:00:00 +0000

¿Qué es?

La geometría logarítmica (K. Kato, Fontaine–Illusie) introduce estructuras log en variedades y esquemas para estudiar degeneraciones, compactificaciones y extensiones de cohomologías. Los esquemas log y el DAG p-ádico (déformation à la Grothendieck) aparecen en la teoría p-ádica de Hodge y en problemas de reducción.

Ilustración

Mi trabajo en este tema

Notas y material: .

Cursos y eventos: Relacionado con y ; ver enlaces en esas páginas.

Geometría p-ádica (rígida, Berkovich)

Mon, 01 Jan 2024 00:00:00 +0000

¿Qué es?

La geometría p-ádica estudia variedades y espacios analíticos sobre cuerpos p-ádicos (ℚₚ, etc.). Los espacios de Berkovich son una realización topológica de estos objetos que permite usar ideas de topología algebraica y dinámica. La geometría rígida y la teoría p-ádica de Hodge conectan con la cohomología étale y la representación de Galois.

Ilustración

Visualización de un árbol de preimágenes en dinámica p-ádica (representación arbórea):

Variante del árbol p-ádico:

Mi trabajo en este tema

Publicaciones: , , , . Notas y material: , .

Cursos: , , .

Events: , , (co-organization, no talk).

Sistemas dinámicos aritméticos (p-ádicos, no arquimedianos, cuerpos finitos)

Mon, 01 Jan 2024 00:00:00 +0000

¿Qué es?

Los sistemas dinámicos aritméticos estudian la iteración de mapas en espacios p-ádicos (ℚₚ, espacios de Berkovich), en cuerpos finitos o en anillos de enteros. Incluyen dinámica polinomial p-ádica, representaciones en árbol de preimágenes, aplicaciones a morfogénesis y modelos en biología matemática.

Ilustración

Árbol de preimágenes en dinámica p-ádica:

Mi trabajo en este tema

Publicaciones: , , , , .

Cursos: , .

Eventos: , , .

Teoría de números

Mon, 01 Jan 2024 00:00:00 +0000

¿Qué es?

La teoría de números estudia los números enteros, los primos, las congruencias, los cuerpos numéricos y las funciones L y zeta. Incluye teoría algebraica de números (extensiones de ℚ, anillos de enteros), teoría analítica y conexiones profundas con la geometría aritmética y la dinámica.

Ilustración

Mi trabajo en este tema

Cursos: (con ), , , .

Publicaciones: . Notas: .

Eventos: , .

Elliptic Curves Course (CCE 2023)

Sat, 01 Jul 2023 00:00:00 +0000

Elliptic Curves course in the joint graduate program (UNAM–UADY), 2023 (CCE 2023). Taught online.

Coloquio de Dinámica p-ádica y Aritmética (CDPA 2023)

Sun, 01 Jan 2023 00:00:00 +0000

Material y carteles del coloquio. Enlace externo: .

ARQUIBIO 2022 — Segundo Encuentro de Biología Matemática y Métodos no Arquimedianos

Mon, 21 Nov 2022 00:00:00 +0000

— CIMAT-Mérida, IIMAS-Mérida. Sotuta de Peón, Yucatán.

La geometría de los Monoides

Thu, 01 Sep 2022 00:00:00 +0000

Preprint (en español). Pérez-Buendía, J. R., & Reyes-Ramirez, E. A. (2022). La geometría de los Monoides. arXiv:2209.02110.

Epigenetic forest and flower morphogenesis

Sat, 01 Jan 2022 00:00:00 +0000

Pérez-Buendía, J. R., Cortés-Poza, Y., & Padilla-Longoria, P. (2022). Computational Biology and Chemistry, 98, 107667.

p-adic dynamics seminar

Sat, 01 Jan 2022 00:00:00 +0000

p-adic dynamics seminar at CIMAT Mérida. Topics: dynamics of rational maps over p-adic fields, Berkovich spaces, applications to number theory and arithmetic geometry.

Escuela Internacional de Investigación CIMPA 2021 — Hodge Theory and p-adic Hodge Theory

Mon, 02 Aug 2021 00:00:00 +0000

— Hodge Theory and p-adic Hodge Theory. CIMAT-Guanajuato, virtual.

Maya (junior) Arithmetic Seminar

Fri, 01 Jan 2021 00:00:00 +0000

Maya (junior) Arithmetic Seminar: number theory and arithmetic seminar for students, organized at CIMAT Mérida.

Escuela de Verano Virtual CIMAT-Mérida 2020 — Grupos de Galois y grupos fundamentales

Mon, 13 Jul 2020 00:00:00 +0000

. Mini-curso impartido. .

Geometría p-ádica y espacios de Berkovich

Wed, 01 Jan 2020 00:00:00 +0000

Notas y material en geometría p-ádica y espacios de Berkovich. No es una publicación formal.

PDF: .

Modelos matemáticos del COVID-19

Wed, 01 Jan 2020 00:00:00 +0000

Cortés-Poza, Y., & Pérez-Buendía, J. R. (2020). Modelos matemáticos del COVID-19. Proyecto COVID-19 Yucatán.

Associated software (2023). SEIR-Yucatán: sistema de modelación epidemiológica COVID-19 basado en EDO, redes complejas y agentes — intellectual property on computer software; primary evidence: INDAUTOR registration certificate. Archived release v1.0 (24 Jun 2023): technical report, user manual, source code, documentation, technological validation, and evidence of use with Yucatán Ministry of Health data (see the project link above and the registration / evidence documentation).

ARQUIBIO 2019 — 1er Encuentro de Biomatemáticas y Métodos p-ádicos

Mon, 11 Nov 2019 00:00:00 +0000

— CIMAT-Mérida. .

Ciencia de datos (Mérida 2019)

Mon, 01 Apr 2019 00:00:00 +0000

Talk data science in Mérida (April 2019). Materials: slides (Keynote/PDF) and LaTeX notes.

A Kulikov-type classification theorem for a one parameter family of K3-surfaces over a p-adic field and a good reduction criterion

Tue, 01 Jan 2019 00:00:00 +0000

Pérez-Buendía, J. R. (2019). Annales Mathématiques du Québec, 43(2), 411–434.

Keny (notas)

Tue, 01 Jan 2019 00:00:00 +0000

Notas asociadas (teoría de números). No es una publicación formal.

PDF: .

Log-geometría y dinámica p-ádica

Tue, 01 Jan 2019 00:00:00 +0000

Material de trabajo en log-geometría y dinámica p-ádica. No es una publicación formal.

PDF: .

Unconventional mathematical and computational models for biology

Tue, 01 Jan 2019 00:00:00 +0000

ID: CF/217367/2019 · Group, multidisciplinary · Extension approved through August 2025 · Status: closed — final technical report submitted on 11 March 2026.

Deliverables (per final technical report)

Publications: ≥ 40 articles in high-impact international journals aligned with the project objectives (original commitment: 1–3 per researcher).
ARQUIBIO: three editions (2019, 2022, 2024) of the Encounter on Mathematical Biology and Non-Archimedean Methods with 30+ researchers and graduate students.
Postdocs: 3 hired (commitment: 2), with 5 joint articles produced (2 published, 3 under review).
HR formation: undergraduate, master’s and doctoral students graduated above commitments.
Mobility: participation in international academic events to disseminate results.

1. Project description

The project “Unconventional mathematical and computational models for the study and analysis of relevant problems in biology” aims to develop innovative mathematical approaches to complex biological phenomena that are hard to capture with classical models. It combines tools from dynamical systems theory, non-Archimedean and p-adic dynamics, algebraic geometry, categorical logic, and scientific computing to formulate, analyze, and simulate models in systems biology, genetics, and ecology. Beyond theoretical and computational output, it fosters collaboration among mathematics, computing, and biology and trains students and early-career researchers in an interdisciplinary frontier setting.

Co–principal investigator: Dr. Jesús Rogelio Pérez Buendía (SECIHTI, CIMAT–Mérida), with Dr. Yuriria Cortés Poza (principal investigator, IIMAS–UNAM, Mérida unit).

2. Collaborators and institutions

Active researchers:

Jesús Rogelio Pérez Buendía (PI, CIMAT Mérida)
Yuriria Cortés Poza (PI, UNAM / IIMAS)
Genaro Hernández Mada (UNISON)
Mariana Benítez Keinrad (UNAM Ecology)
Miguel Ángel de la Rosa Castillo (UJAT)
Edwin León Cardenal (University of Zaragoza, Spain)
Pablo Padilla Longoria (UNAM IIMAS)
Adán Guillermo Jordan Garza (UV)
Wilson Álvaro Zúñiga Galindo (UTRGV, USA)
Joel Antonio Trejo Sánchez (CIMAT Mérida)
Jorge Luis Pérez González (UNAM IIMAS)
José Antonio Neme Castillo (UNAM IIMAS)
Ángela Fuquén Tibata (UNAM IIMAS Mérida)

Students and postdocs

Víctor Nopal Coello (postdoc, UAEH / CIMAT Mérida)

3. Selected publications

Non-exhaustive examples; see also :

(2020)
(2026)

4. Photos and facilities

(collaborators and facilities)

Additional photos remain in local archive only (not linked here).

5. ARQUIBIO events (Mérida)

Year	On this site	Official site / gallery
2024		·
2022		· ·
2019		·

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Jornada de Álgebra 2018 (UADY)

Sun, 01 Apr 2018 00:00:00 +0000

Conferencia en la Jornada de Álgebra 2018, Facultad de Matemáticas, UADY (abril 2018).

Third PRIMA Congress 2017 — A One Parameter Family of K3-Surfaces and a Monodromy Criterion for Good Reduction

Tue, 15 Aug 2017 00:00:00 +0000

, Oaxaca, México. Conferencia internacional.

Doctorado en Matemáticas

Wed, 01 Jan 2014 00:00:00 +0000

Institución:

Director de tesis: Dr. Adrian Iovita

Tesis: A Crystalline Criterion for Good Reduction on Semi-stable K3-Surfaces over a p-Adic Field

Montreal, Quebec, Canadá (2014).

Tesis (repositorio): (buscar por título o autor).

Maestría en Ciencias (Matemáticas)

Mon, 01 Jan 2001 00:00:00 +0000

Institución:

Tesis: Sobre los Modelos de Néron para Curvas Elípticas

Promedio 10/10 (2001).

Tesis (repositorio): (repositorio institucional; buscar por título o autor).

Licenciatura en Matemáticas

Fri, 01 Jan 1999 00:00:00 +0000

Institución:

Tesis: Las Conjeturas de Weil para Hipersuperficies de Fermat

Premio Sotero Prieto 2001 (SMM), mejor tesis de licenciatura en matemáticas (2000).

Tesis (repositorio): (repositorio institucional; buscar por título o autor).

Jesús Rogelio Pérez Buendía

Mon, 01 Jan 0001 00:00:00 +0000

I am a pure mathematics researcher based at . My work lies at the intersection of arithmetic geometry, p-adic Hodge theory and non-archimedean dynamical systems, with applications to both fundamental problems in arithmetic and models in systems biology.

I am a founder of the research group (P-adic Arithmetic, Dynamics And Galois-Informed Observations), a multi-institutional initiative focused on dynamics over the , Berkovich spaces and Clausen–Scholze condensed structures.

I actively collaborate with the biomathematics group at (Dr. Yuriria Cortés Poza, Dr. Pablo Padilla), developing p-adic models for gene regulatory networks and patterns in living organisms.

Rogelio Pérez Buendía

Curriculum Vitae

Jesús Rogelio Pérez Buendía

Research Interests

Current Position

Current Accreditations

Education

Research Projects

Unconventional mathematical and computational models (2019–2025)

Arithmetic geometry, non-Archimedean dynamics and Fargues–Fontaine (2024–2025)

Geometric and topological properties of algebraic varieties (2018–2021)

Awards and Honors

Languages

Recent institutional records (local vault, May 2026)

Other Sections

Galois Correspondences for Representations

Dualidad de Stone y espacios profinitos. Una introducción desde la aritmética

Una interpretación variacional del teorema integral de Cauchy

p-adic numbers as a multiscale observation lens — IIMAS–UNAM Yucatán seminar

Geometry of hierarchy — FMAT–CIMAT Colloquium (22 April 2026)

"How do multiplication tables look?" — Sierra Papacal primary school (2026)

What this event is

Talk outline

Practical information

Slides and online context

Related activities (March 2026 cycle)

From preimage trees to modular dynamics — CIMAT Mathematics showcase 2026

P-ADAGIO

Mission

Objectives

Research Lines

Group Description

Team Members

Group Output

Interested in joining P-ADAGIO?

How to cite P-ADAGIO in articles

P-ADAGIO

Rational Interpreters for Discrete Dynamics: Existence, Exactness, and Decomposition over p-adic Fields

A p-adic reaction-diffusion model of branching coral growth and calcification dynamics

Hierarchical p-Adic Framework for Gene Regulatory Networks: Theory and Stability Analysis

A Dynamical Néron–Ogg–Shafarevich Criterion via Orbital Arboreal Representations

El mar que envuelve a las piedras: espacios de Stone, profinitos y su papel en la aritmética contemporánea

Hierarchical dynamics in genetic regulatory networks via p-adic rational approximations — LVIII SMM 2025

Dynamic Topoi and Temporal Sites: A Categorical Framework for Arithmetic Dynamics — LVIII SMM 2025

Galois Correspondences for Representations

Gluing dynamics: ε-precision in solving a non-Archimedean inverse problem

La curva de Fargues–Fontaine: una motivación al estudio de la teoría de representaciones de Galois p-ádicas

ARQUIBIO 2024 — Tercer Encuentro de Biología Matemática y Métodos no Arquimedianos

GEOTOP-A 2024 — International Conference on Applications of Geometry and Topology

Álgebra conmutativa

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Biomatemáticas

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Cohomologías p-ádicas y teoría p-ádica de Hodge

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Criptografía y teoría de códigos

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Geometría algebraica

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Geometría aritmética

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Geometría aritmética, dinámica no arquimediana y curva de Fargues–Fontaine

Geometría logarítmica

¿Qué es?

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Geometría p-ádica (rígida, Berkovich)

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