David Gómez-Castro
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 24-26 2023: Workshop on nonlocal and nonlinear PDEs
NTNU, Trondheim, Norway - May 2023: Nonlinear Diffusion And Nonlocal Interaction Models - Entropies, Complexity, And Multi-Scale Structures
Granada, Spain - Aug. 2023: 10th ICIAM - International Conference on Industrial and Applied Mathematics
Tokyo, Japan
Organising the session “Different perspectives in non-linear and non-local PDEs”. - Oct. 2023: Euro-Japanese 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
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J34Asymptotic simplification of Aggregation-Diffusion equations towards the heat kernelArchive for Rational Mechanics and Analysis, 2023
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J29Infinite-time concentration in aggregation–diffusion equations with a given potentialJournal de Mathématiques Pures et Appliquées, 2022
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J27Characterisation of homogeneous fractional Sobolev spacesCalculus of Variations and Partial Differential Equations, 2021
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J16The fractional Schrödinger equation with general nonnegative potentials. The weighted space approachNonlinear Anal., 2018