Research 

Papers

• Pseudo real closed field, pseudo p-adically closed fields and NTP2.  Annals of Pure an Applied Logic, volume 168, Issue 1, January 2017, Pages 191-232. Arxiv. 

• Imaginaries in bounded pseudo real closed fields. Annals of Pure and Applied Logic, volume 168, Issue 10, October 2017, Pages 1866-1877. Arxiv. 

• with  A. Onshuus and  P. Simon. Stabilizers, NTP2 groups with f-generics and PRC fields. Journal of the Institute of Mathematics of Jussieu, Volume 19, Issue 3, May 2020, pp. 821-853 1-33. Arxiv. 

• with S. Rideau-Kikuchi. Imaginaries, invariant types and pseudo-p-adically closed fields. Trans. Amer. Math. Soc. 374 (2021), 803-828. Arxiv. 

Preprints

• with Z. Chatzidakis and  R. Bustamante. Groups Definable in Partial Differential Fields with an Automorphism. ArXiv:2104.10632. Arxiv. Submitted to Israel journal of mathematics.

• with S. Rideau-Kikuchi. Pseudo T-closed fields. ArXiv:2304.10433. ArXiv.  Submitted to Model Theory.

Thesis

• Théorie des modèles des corps pseudo-réels clos et pseudo-p-adiquement clos (link). Advisor: Zoé Chatzidakis.  Slides. 

Some talks:

• May 2023: Multi topological fields and NTP2 .   Conference: Model theory of valued fields. CIRM, France.  Video. 

• February 2023: Multi topological fields and NTP2.  Seminario: Séminaire Général de Logique, Université Paris Cité, Paris, France. Slides. 

• April 2022 : Cuerpos PRC, PpC y PTC .  Seminario: Seminario de Topología y Teoría de Conjuntos, UNAM, Morelia, México. Slides. 

• Febrero 2022: Groups definable in partial differential fields with an automorphism . Seminar: Théorie des modèles et groupes, Université de Paris, Paris, France. 

• November 2021: Groups definable in partial differential fields with an automorphism. Seminar: Kolchin Seminar. Slides, Video. 

• September 2021: Groups definable in partial differential fields with an automorphism, Conference:  VI  Congreso Latinoamericano de Matemáticos (CLAM). Montevideo, Uruguay.  Slides. 

• May 2021: Groups definable in partial differential fields with an automorphism. Seminar: Seminario Flotante de Lógica Matemática de Bogotá,  Universidad de los Andes - Universidad Nacional.  Slides Video 

• February 2020:  Logic and model theory in mathematics. Conference:  XXII Simposio Internacional de Métodos Matemáticos Aplicados a las Ciencias. San Jose, Costa Rica.  Slides. 

• June 2020:  Definable groups in PRC fields. Seminar:  Lancashire Yorkshire Model Theory Seminar,  Universities of Leeds and Manchester, and University of Central Lancashire in Preston. Slides. 

• June 2020: Model Theory of Pseudo Real Closed Fields.  Seminar: Online Logic Seminar.  Slides. 

• December 2019: A generalization of PAC, PRC, and PpC fields. Conference:  18 TH Latin American Symposium on Mathematical Logic. Concepción, Chile. Slides.  

• July 2018: NTP2 groups with f-generics and PRC fields.  Conference:  Neostability Theory. Oaxaca, México. Slides. 

• July 2017:  Course: Introduction to model theory. Conference: Berkovich spaces, tropical geometry, and model theory. Bogotá, Colombia. Slides. 

• June 2017:  Conference: 17 TH Latin American Symposium on Mathematical Logic. Puebla, Mexico. Slides. 

• July 2017: Definable groups in PRC fields.  Conference: Model Theory. Bedlewo, Poland. Slides. 

• July 2016: Shelah's classification theory and pseudo real closed fields.  Conference:  V Congreso Latinoamericano de Matemáticos. Barranquilla, Colombia. Slides. 

• July 2016: Model theoretic properties of pseudo real closed fields . Conference:  XXI Coloquio Latinoamericano de Algebra. Buenos Aires, Argentina. Slides. 

• April 2015: Model theory of pseudo real closed fields. Conference: Model theory, differential and differences equations, and applications. CIRM, Luminy, France. Slides. 

• January 2015: Pseudo real closed fields and NTP2. Conference: British Postgraduate Model Theory Conference. Mathematical Institute - University of Oxford, Oxford, United Kingdom. Slides. 

Introductive talks

• February 2024: Lógica y álgebra: Explorando las conexiones entre la teoría de modelos y la geometría algebraic. EMALCA, Liberia, Costa Rica. Slides.

• October 2021: Entre lenguajes, teorías y estructuras.  Seminar: Mujeres y + en Matemática.  Slides Video.

• February 2021: Lógica, teoría de modelos y matemática.  Seminar: Coloquio, Universidad de Costa Rica.  Slides, Video. 

• July 2021: with Rafael Zamora. El Paraíso de Cantor, explorando universos infinitos.  Seminar, organized by: Asociación de Estudiantes de Enseñanza de la Matemática, Universidad de Costa Rica, sede Paraíso.  Slides.

• June 2020:  ¿Existen números infinitamente grandes?  Compacidad y otras aplicaciones en la lógica matemática Seminar: Coloquio, Universidad de Costa Rica, Costa Rica. Video I , Video II. 

Outreach talks

• July 2020:  El Paraíso de Cantor . II-ciclo de Conferencias Interdiciplinarias", ADN-Asociación para la Divulgacion Nacional de las ciencia. Video.  

Gender and science talks 

• June 2024: Coloquio: Género y matemática. Universidad Estatal a Distancia, Costa Rica.  Slides.

Interviews

• February 2024: Interview on the radio show: En la Academia. Presentation of the research project: Generizar para transformar el conocimiento. Interview link 

• 2023: Canal de youtube Matemática sentimental. With Rafael Zamora, about mathematics and life. Link.