Formación Académica

 I hold a PhD in Mathematics from the University of Murcia since 2017. 

Puestos académicos desempeñados

   Predoctoral Researcher – “La Caixa” Fellowship
   University of Murcia
   2014–2017

   Postdoctoral Researcher
   Instituto de Ciencias Matemáticas (ICMAT)
   2018–2019

   Postdoctoral Researcher – Juan de la Cierva Fellowship
   Universidad Complutense de Madrid (UCM)
   2020

   Assistant Professor  and (later) Associate Professor
   Universidad Nacional de Educación a Distancia (UNED)
   2020 - currently

Actividad Investigadora

My research areas have varied over the years, primarily focusing on the application of techniques and tools from Functional Analysis to other areas of mathematics and physics. In the early years, I worked on problems related to the geometry and topology of Banach spaces, Dirichlet series and function theory on the polydisk, and Fourier analysis on the Boolean cube.

Since 2019, my activity has focused on mathematical problems related to Quantum Many-Body Systems and Quantum Information. More specifically, my work has concentrated on studying the spectral gap problem in Hamiltonians, a fundamental element in the classification of phases, and its relationship with other topics such as correlation decay and the evolution of dissipative systems.