The research interests of our group are focused on theoretical aspects of Partial Differential Equations (PDE) and related topics.
We study quite diverse problems, including: elliptic and parabolic PDE, Calculus of Variations, free boundary problems, nonlocal equations, geometric inequalities, and relativistic quantum mechanics. Some of these lines of research have interesting connections to Geometry, Physics, or Probability.
Group Members
•
Juan Carlos Cantero (postdoc)
•
Albert Clop
•
Gyula Csato
•
Xavier RosOton
•
Tomás SanzPerela
•
Clara TorresLatorre (PhD student)
•
Marvin Weidner (postdoc)
•
Philipp Zimmermann (postdoc)
ERC Grants
• ERC Consolidator Grant 20242029
"Stable solutions and nonstandard diffusions: PDE questions arising in mathematical physics"
PI: X. RosOton
• ERC Starting Grant 20192024
"Regularity and singularities in elliptic PDE: beyond monotonicity formulas
"
PI: X. RosOton
• ERC Starting Grant 20202022
"Global existence and ComputerAssisted Proofs of singularities in incompressible fluids, with Applications"
PI: J. GómezSerrano
