Jose María Arrieta (ICMAT-UCM): Large time behavior of solutions of Differential Equations
Mateo Bonforte (ICMAT-UAM):
1- Introduction to Nonlinear Diffusion: Parabolic PDEs of degenerate and singular type, both in the local and nonlocal framework.
2- Entropy Methods for Nonlinear Diffusion Equations: a bridge between long time asymptotics, functional inequalities and geometry.
Florentino Borondo y Jezabel Curbelo (ICMAT-UAM): Deep learning y ecuaciones en derivadas parciales
Leonardo Colombo (ICMAT-CSIC): Simulation of dynamical systems using variational integrators
Diego Córdoba (ICMAT-CSIC): Incompressible fluids
Manuel de León (ICMAT-CSIC):
1- Hamiltonian contact systems: global properties.
2- Growth theories.
Alberto Enciso (ICMAT-CSIC):
1- Mathematical problems in fluid mechanics.
2- Eigenvalues, Schrödinger operators and inverse localization
Maria del Mar González (ICMAT-UAM):
1- The Keller-Segel system in R^2.
2- A phase field formulation of the Willmore problem
Luis Guijarro (ICMAT-UAM):
1- Hopf conjecture.
2- Subriemannian Geometry
José Antonio Jiménez (ICMAT-CSIC): Dynamical systems and applications
Fernando Lledó (ICMAT-UC3M):
1- Grupoids.
2- Operator algebras in mathematical physics
Daniel Macías Castillo (ICMAT-UAM):
1- Galois structure of Mordell-Weil groups.
2- Rubin-Stark conjecture
David Martín de Diego (ICMAT-CSIC):
1- Discrete differential Geometry.
2- Simplectic optimization and theory of Lie groups with applications in automatic learning
Daniel Peralta (ICMAT-CSIC):
1- Introduction to spectral geometry
2- Chaos constructions
Francisco Presas (ICMAT-CSIC):
1- On skies and contact.
2- Dangerous tangencies
Fernando Quirós (ICMAT-UAM): Regularity in elliptic and parabolic problems.
Aníbal Rodríguez Bernal (ICMAT-UCM):
1- Fourier Series, Fourier Transform and Partial Differential Equations
2- Dynamical complexity and dimension
Daniel Seco (ICMAT-UC3M):
1- Invariant spaces in complex analysis.
2- Cyclic functions
Pedro Tradacete (ICMAT-CSIC):
1- Positive operators and invariant subspaces.
2- Free Banach lattices and weak topologies
Ignacio Villanueva (ICMAT-UCM):
1- Valuations, intrinsic volumes and Hadwiger’s theorem
2- Convolutional neural networks applied to eolic energy prediction from meteorological data
