David GómezCastro
"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. I am also a member of the Instituto de Ciencias Matemáticas (ICMAT) of CSIC. 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
 March & April 2023. Guest editor of special issue of DCDS in honour of Juan Luis Vázquez
Upcoming events
 Oct. 2024: Meeting of the Spanish “Nonlocal PDEs and Applications” Network. Universidad de Valencia, Spain.
Recently finished
 July 2024: Summer School UIMP 2024. The Laplacian and Beyond. Celebrating the Mathematics of Luis Caffarelli
Santander, Spain  July 2024: EMS Conference.
Seville, Spain  June 2024: Homenaje a J.I. Díaz.
Madrid, Spain  April 2024: AggregationDiffusion Equations & Collective Behavior.
CIRM, Marseille, France  Oct. 2023: EuroJapanese conference
ICMAT, Madrid, Spain  Aug. 2023: 10th ICIAM  International Conference on Industrial and Applied Mathematics
Tokyo, Japan
Organising the session “Different perspectives in nonlinear and nonlocal PDEs”.  May 2023: Nonlinear Diffusion And Nonlocal Interaction Models  Entropies, Complexity, And MultiScale Structures
Granada, Spain  May 2426 2023: Workshop on nonlocal and nonlinear PDEs
NTNU, Trondheim, Norway  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

B1Nonlinear ReactionDiffusion Processes for NanocompositesDe Gruyter2021

J40Partial Mass Concentration for FastDiffusions with NonLocal Aggregation TermsJournal of Differential Equations, 2024

J36Beginner’s guide to AggregationDiffusion EquationsSeMA Journal, 2024

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

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