David Gómez-Castro

Assistant Prof at Universidad Complutense de Madrid

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dgcastro@ucm.es

Office 411

Facultad de Matemáticas, Universidad Complutense de Madrid

Plaza de las Ciencias, 3

28040 Madrid, Spain

I am an Assistant Professor at the Department of Applied Mathematics and Mathematical Analysis at Universidad Complutense de Madrid since 2018. I am also a member of the Institute of Interdisciplinary Mathematics (IMI). 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.

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selected publications

  1. Nonlinear Reaction-Diffusion Processes for Nanocomposites
    J.I. DíazD. Gómez-Castro, and T. A Shaposhnikova
    De Gruyter
    2021
  2. 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
  3. J29
    Infinite-time concentration in aggregation–diffusion equations with a given potential
    J.A. CarrilloD. Gómez-Castro, and J.L. Vázquez
    Journal de Mathématiques Pures et Appliquées, 2022
  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. J16
    The fractional Schrödinger equation with general nonnegative potentials. The weighted space approach
    J. I. DíazD. Gómez-Castro, and J. L. Vázquez
    Nonlinear Anal., 2018