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. 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: Aggregation-Diffusion Equations & Collective Behavior.
CIRM, Marseille, France - Oct. 2023: Euro-Japanese conference
ICMAT, Madrid, 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”. - May 2023: Nonlinear Diffusion And Nonlocal Interaction Models - Entropies, Complexity, And Multi-Scale Structures
Granada, Spain - May 24-26 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
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B1Nonlinear Reaction-Diffusion Processes for NanocompositesDe Gruyter2021
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J40Partial Mass Concentration for Fast-Diffusions with Non-Local Aggregation TermsJournal of Differential Equations, 2024
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J36Beginner’s guide to Aggregation-Diffusion EquationsSeMA Journal, 2024
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J34Asymptotic simplification of Aggregation-Diffusion equations towards the heat kernelArchive for Rational Mechanics and Analysis, 2023
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J27Characterisation of homogeneous fractional Sobolev spacesCalculus of Variations and Partial Differential Equations, 2021