Research
Publications
(with É. Ricard) Calderón-Zygmund theory with noncommuting kernels via H_1^c . Preprint. To appear in Studia Mathematica.
(with J.M. Conde-Alonso and Javier Parcet). Trigonometric chaos and Xp inequalities II -- Xp inequalities in group von Neumann algebras. Preprint. Submitted.
(with J.M. Conde-Alonso and Javier Parcet). Trigonometric chaos and Xp inequalities I -- Balanced Fourier truncations over discrete groups. Preprint. To appear in Anal. & PDE.
Talks
December 2023. Talk at Free Probability and Operators Seminar at Texas A&M University. Title: "Xp inequalities on free groups".
February 2023. Talk at VI RSME Congress for Young Researchers in Mathematics at Universidad de León. Title: "Matrix-valued Calderón-Zygmund theory on noncommutative Hardy spaces".
November 2022. Talk at Analysis and Applications Seminar at Universidad Autónoma de Madrid. Title: "Trigonometric chaos and Xp inequalities".
November 2022. Short talk at 4th BYMAT Conference: Bringing Young Mathematicians Together (online). Title: "Balanced Fourier truncations over discrete groups"
October 2022. Talk at Séminaire des jeunes at the Laboratoire de Mathématiques Nicolas Oresme, Université de Caen. Title: "Symmetric structures in Lp spaces".
October 2022. Talk at Séminaire d'analyse harmonique non commutative at the Laboratoire de Mathématiques Nicolas Oresme, Université de Caen. Title: "Xp inequalities in group von Neumann algebras".
October 2022. Talk at Analysis Seminar at University of Houston. Title: "Xp inequalities in von Neumann algebras".
May 2022. Talk at XX Encuentros de Análisis Real y Complejo at Universidad Politécnica de Cartagena. Title: “Balanced Fourier truncations in Group von Neumann algebras”.
March 2022. Talk at Functional Analysis, Quantum Computing and beyond. PhD and young researchers workshop at Instituto de Ciencias Matemáticas (ICMAT). Title: “Xp inequalities on groups”.
September 2021. Short talk at XV Workshop of Young Researchers in Mathematics at Universidad Complutense de Madrid. Title: “Análisis en álgebras de von Neumann de grupo”.
June 2021. Talk at Seminarios Junior ICMAT-UAM. Title: “Teoría de la Medida No Conmutativa”.
July 2018. Short talk at XVIII Encuentro Nacional de Estudiantes de Matemáticas (Valencia, Spain). Title: “El Teorema de Dirichlet sobre Progresiones Aritméticas: de Euclides a Riemann”.
Scientific outreach
(with Aguado López et al). Semigroup theory in quantum mechanics. In: TEMat monográficos, 1 (2020): Artículos de las VIII y IX Escuela-Taller de Análisis Funcional, págs. 17-31. ISSN: 2660-6003. URL: https://temat.es/monograficos/article/view/vol1-p17.