Leonardo Patimo's Webpage


Edificio A, Primo piano, Stanza 316
L.go B. Pontecorvo, 5, 56127 Pisa (PI), Italy.

I am a tenure-track researcher (RTD-B) at the University of Pisa.
Before that I was a PostDoc at the University of Freiburg (in the group of Prof. Wolfgang Soergel).
In the academic year 2020/21 I was a Junior Fellow at FRIAS

(Freiburg Institute for Advanced Studies). I was a PostDoc at MSRI, Berkeley, during the semester Group Representation Theory and Applications.

I completed my PhD in January 2018 at the Max Planck Institute, Bonn, under the supervision of Geordie Williamson.

You can find more on my CV.

Research Interests

My research area is called Geometric Representation Theory.
I enjoy thinking primarily about aspects of representation theory that can be "seen" geometrically.
I am particularly interested in the following topic:

  • Hecke algebras and their several categorifications (via Soergel bimodules, diagrammatically, geometrically, etc.)
  • Kazhdan-Lusztig Combinatorics
  • Crystal graphs
  • Perverse sheaves
  • Hodge Theory
  • Flag manifolds and the geometry of Schubert varieties
  • Koszul Duality
  • Affine Grassmannians and Geometric Satake Correspondence
  • Quantum groups and KLR algebras
  • Nilpotent Orbits and Springer Correspondence
  • Representations of Algebraic Groups