David GómezCastro
Assistant Prof at Universidad Complutense de Madrid
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.
Recent highlights
 March & April 2023. Guest editor of special issue of DCDS in honour of Juan Luis Vázquez
 Course on Julia at UCM: 28 de febrero, 1,2,7,8,9 y 14 de marzo, de 13:00 a 14:30 h. See course website
Upcoming events
 May 2426 2023: Workshop on nonlocal and nonlinear PDEs
NTNU, Trondheim, Norway  May 2023: Nonlinear Diffusion And Nonlocal Interaction Models  Entropies, Complexity, And MultiScale Structures
Granada, Spain  Aug. 2023: 10th ICIAM  International Conference on Industrial and Applied Mathematics
Tokyo, Japan
Organising the session “Different perspectives in nonlinear and nonlocal PDEs”.  Oct. 2023: EuroJapanese conference
ICMAT, Madrid, Spain
Recently finished
 March 2023: Seminar.
Universidad de Granada, Spain  Feb. 2023: VI Congreso de Jóvenes Investigadores de la RSME
León, Spain
Session “Recent advances in local and nonlocal PDE’s”
selected publications


J34Asymptotic simplification of AggregationDiffusion equations towards the heat kernelArchive for Rational Mechanics and Analysis, 2023

J29Infinitetime concentration in aggregation–diffusion equations with a given potentialJournal de Mathématiques Pures et Appliquées, 2022

J27Characterisation of homogeneous fractional Sobolev spacesCalculus of Variations and Partial Differential Equations, 2021

J16The fractional Schrödinger equation with general nonnegative potentials. The weighted space approachNonlinear Anal., 2018