David Gómez-Castro

"Ramon y Cajal" postdoc at Universidad Autónoma de Madrid



Departamento de Matemáticas, Universidad Autónoma de Madrid

Facultad de Ciencias, Módulo 17

Ciudad Universitaria de Cantoblanco

28049 Madrid, Spain

I am a “Ramon y Cajal” Postdoctoral Research Fellow at the Mathematics Dept. of Universidad Autónoma de Madrid since January 2024. From 2018 to 2023 I was an Assistant Professor at the Department of Applied Mathematics and Mathematical Analysis at Universidad Complutense de Madrid. Between 2020 and 2022 I took a leave of absense to go to the the Mathematical Institute of the University of Oxford supported in Prof J.A. Carrillo’s group, supported by his ERC grant. I received my Bachelor’s and MSc Degrees in Mathematics from Universidad Complutense de Madrid, where I stayed on to do my Ph.D. under Prof. J.I. Díaz, supported by an FPU Grant.

I have received the Antonio Valle prize in 2022 from Sociedad Española de Matemática Aplicada, and the Vicent Caselles prize in 2018 from Real Sociedad Matemática Española.

Recent highlights
Upcoming events
  • June 2024: Homenaje a J.I. Díaz.
    Madrid, Spain
  • July 2024: EMS Conference.
    Seville, Spain
  • July 2024: Summer School UIMP 2024. The Laplacian and Beyond. Celebrating the Mathematics of Luis Caffarelli
    Santander, Spain
  • Oct. 2024: Universidad de Valencia, Spain.
Recently finished

selected publications

  1. B1
    Nonlinear Reaction-Diffusion Processes for Nanocomposites
    J. I. DíazD. Gómez-Castro, and T. A Shaposhnikova
    De Gruyter
  2. J36
    Beginner’s guide to Aggregation-Diffusion Equations
    David Gómez-Castro
    SeMA Journal, 2024
  3. J34
    Asymptotic simplification of Aggregation-Diffusion equations towards the heat kernel
    José A. CarrilloD. Gómez-CastroYao Yao, and Chongchun Zeng
    Archive for Rational Mechanics and Analysis, 2023
  4. J27
    Characterisation of homogeneous fractional Sobolev spaces
    Lorenzo Brasco, D. Gómez-Castro, and J. L. Vázquez
    Calculus of Variations and Partial Differential Equations, 2021
  5. J05
    Rigidity of optimal bases for signal spaces
    Haïm Brezis, and D. Gómez-Castro
    Comptes Rendus Mathematique, 2017