Prof. Dr. Alessio Figalli

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ERC Regularity and Stability in Partial Differential Equations (RSPDE)


This project focuses on problems in Partial Differential Equations, Calculus of Variations, and Geometric Measure Theory, with particular emphasis
on free boundary problems, optimal transport and Monge-Ampère equations, transport equations with rough vector fields and stability in functional
and geometric inequalities.



  • Joaquim Serra (2017 – present)
  • Connor Mooney (2017 – present)

PhD Students:

  • Xavier Fernández-Real (2017 – present)
  • Yash Jhaveri (2017 – present)


Click here to find all papers supported by the ERC project