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

Open Positions

The PI is offering a two-year postdoctoral appointment for candidates carrying out their research on topics related to the ERC description. The starting date is September 1st 2018, although some flexibility is possible. The positions do not carry teaching duties, but there may be the possibility of teaching an advanced course if desired.
Candidates are invited to apply by email to the address

The email should include the following documents as pdf attachments:
1) CV
2) list of publications
3) research statement

In addition, candidates should contact up to three referees willing to write a letter of recommendation, and ask the referees to send directly the letter to

The deadline for applying is January 21st, 2018.