BIRS-IMAG Workshop
Nonlinear Diffusion and nonlocal Interaction Models - Entropies, Complexity, and Multi-Scale Structures (23w6003)
IMAG Granada (ES)
May 28 June 2, 2023
2023 Thematic Period on PDES
Diffusion, Geometry,
Probability and Free Boundaries
UAM-ICMAT Madrid (ES)
June-December 2023
BIRS-CMO Workshop
New Trends
in Nonlinear Diffusion:
a Bridge between PDEs,
Analysis and Geometry
(Online) (21w5127)
CMO Oaxaca (online)
September 6-10, 2021
2020 Fields Medal Symposium
Alessio Figalli
Online Event
Fields Institute, Toronto
October 19 - 23, 2020
Workshop in honor of Alessio Figalli’s Doctor Honoris Causa at UPC. Five talks and a Round Table with Prof. A. Figalli.
Universitat Poltitecnica de Catalunya, Barcelona, ES, November 21, 2019
I am a Professor Titular of the Departamento de Matemáticas at the Universidad Autónoma de Madrid.
I am co-PI with Mar Gonzalez of the Spanish research group MTM2017-85757-P, " EDPs No-Lineales: Difusión, Geometría y Aplicaciones" - "Nonlinear PDEs: Diffusion, Geometry and Applications", founded by MINECO (Spanish Government).
I am a Faculty member of ICMAT Instituto de Ciencias Matemáticas
I am co-organizing the 2023 Thematic Period on PDEs Diffusion, Geometry, Probability and Free Boundaries at UAM-ICMAT Madrid (ES) in the period June-December 2023.
I am member of the editorial board of the Journal Nonlinear Analysis: Real World Applications.
Nonlinear and/or nonlocal partial differential equations:
asymptotic properties, rates of convergence to equilibrium, Harnack inequalities, higher and boundary regularity for degenerate and singular nonlinear -and also nonlocal- parabolic (and elliptic) PDE in the Euclidean setting and on Riemannian manifolds. Nonlinear (fast) diffusion flows of porous medium or p-Laplacian type. Total variation flow.
Functional inequalities (also with weights): Sobolev, Gagliardo-Nirenberg, Hardy, Poincaré, Logarithmic Sobolev, Caffarelli-Kohn-Nirenberg [...] and their application to PDE. Quantitative and constructive stability properties for Gagliardo-Nirenberg-Sobolev inequalities
Entropy methods for nonlinear flows, in the Euclidean setting and on Riemannian manifolds: a bridge from functional inequalities to PDE and geometry.