Curriculum vitae
View PDFEmployment
Head of Research and Graduate Studies (Encargado de Investigación y Posgrado)
Assistant Professor
Postdoctoral Researcher (DGAPA)
Postdoctoral Researcher (CONACyT)
Education
Ph.D. in Mathematical Sciences
Dissertation: “Acciones simpliciales de grupos modulares de superficies de tipo infinito”. Advisor: Ferrán Valdez Lorenzo.
M.S. in Mathematics
Dissertation: “Hiperbolicidad uniforme del complejo de curvas”. Advisor: Ferrán Valdez Lorenzo.
B.A. in Applied Mathematics
Dissertation: “Continuidad del espectro usando ν-convergencia”. Advisor: Salvador Sánchez Perales.
Fellowships & Honors
Member of the Sistema Nacional de Investigadoras e Investigadores (SNII), CONAHCYT — Level 1
Ph.D. with Honors
Mexican National Fellowship for Ph.D. studies, CONACYT
Mexican National Fellowship for M.S. studies, CONACYT
Publications
The full list of papers and preprints is on the Research page. Research →
Teaching
Graduate, undergraduate, and high school courses are on the Teaching page. Teaching →
Talks
Research and outreach talks are on the Talks page. Talks →
Academic Activities
Thesis Reviewer
Oscar Nahum Tovar Ramírez
Undergraduate thesis: “Espacios de configuraciones de superficies y gráficas”.
Víctor Hugo Almendra Hernández
Undergraduate thesis: “Propiedades de estabilidad en homología y cohomología de grupos de trenzas”.
Peer Review
Referee for Algebraic & Geometric Topology, Proceedings of the Edinburgh Mathematical Society, and Publicacions Matemàtiques
Research Stays
Instituto de Matemáticas Unidad Oaxaca, UNAM
Invited by Prof. Rita Jiménez-Rolland.
Departamento de Matemáticas, Universidad de Chile
Invited by Prof. Cristóbal Rivas. Delivered a talk at Coloquio de Matemáticas Las Palmeras.
Facultad de Ciencias Exactas y Naturales, Universidad Nacional de Colombia, campus Manizales
Invited by Prof. Camilo Ramírez-Maluendas. Taught a mini-course for undergraduate students on surfaces and mapping class groups and delivered a research seminar.
Max Planck Institute for Mathematics
Organization of Academic Activities
Coloquio de Matemáticas Cruz del Sur
Session “Algebraic Topology”
Session “Grupos, acciones y dinámica”
Encuentro de Geometría Compleja y Dinámica Holomorfa-Aritmética
2do Workshop Geometría UFRO-UTALCA
Seminario temático de topología algebraica Oaxaca
Third Workshop on Surfaces in the Frontier
Primera Jornada de Geometría y Topología en la Frontera
Session “Superficies topológicas y sus simetrías”
Session “Grupos de trenzas: nudos, superficies y configuraciones”
Jointly with Rita Jiménez-Rolland and Bruno Cisneros de la Cruz.
Seminario de lectura: Grupos de Artin-Tits
Seminario de lectura: Mapping class groups y complejos de curvas
Seminario de lectura en teoría geométrica de grupos
Ciclo de lecciones matemáticas del PCCM
Outreach Activities
Workshop “Ternas Pitagóricas”
For high school and middle school students of Temuco.
Mini-course “Desde la clasificación de superficies hasta mapping class groups”
Mentor for high school research projects
Within the project “Iniciación a la investigación”.
Workshop coordinator: “Mosaicos en desorden (Penrose)”
Workshop coordinator: “Burbujas de jabón”
Collaborator in “La Fiesta de las Ciencias y Humanidades”
Conferences & Workshops Attended
Blooming Beasts: A Conference on the Geometry, Topology, and Dynamics of Infinite-Type Surfaces
School on Dynamical Group Theory
Big Mapping Class Groups and Diffeomorphism Groups
Winter School on Cremona Groups, Geometry Topology and Algebraic Geometry
Summer School on Aspects of Geometric Group Theory
Geometría Algebraica Compleja y Dinámica de Teichmüller
Seminar: Arithmetic Groups and Rigidity
Conference: Topological and Homological Methods in Group Theory 2018
Winter School on Groups and Dynamics
Thematic School on Quasi-isometric Rigidity