Francesco Sala

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I am an Associate Professor at the Department of Mathematics of the University of Pisa and a Visiting Scientist at Kavli IPMU (Kavli Institute for the Physics and Mathematics of the Universe), the University of Tokyo, Japan.


My research interests originate from the interplay between representation theory, algebraic geometry, and mathematical physics. In recent years, I have been focusing on the study of Hall algebras and their refined versions (cohomological, K-theoretical, categorified), and their relation to the theory of quantum groups. For more details, you can check out my publications page or see my full CV.


My research is partially supported by the JSPS KAKENHI Grant-in-Aid for Scientific Research C no. 26K06721. Further information is available in the Grants section of my CV.


Attention: Due to recurring network issues, my official email account occasionally malfunctions and may reject incoming messages. For this reason, please send emails to both my official address and my Gmail account.

news

Apr 03, 2028 Together with Joel Kamnitzer, Leonid Rybnikov, and Ben Webster, I am organizing the Thematic Program “Representation Theory and Mathematical Physics” at the Centre de recherches mathématiques in Montréal, Canada, from April 3 to June 30, 2028. More information will be available soon!
Sep 21, 2026 I will be on sabbatical from September 21, 2026, through September 20, 2027.
Aug 09, 2026 I will participate and give a talk in the workshop “Geometric Representation Theory and Related Topics” at the Tianyuan Mathematics Research Center in China from August 9 to 15, 2026.
Aug 02, 2026 I will visit the Morningside Center of Mathematics in Beijing, China, to give a minicourse from August 2 to 8, 2026.
May 18, 2026 I will visit Université de Strasbourg, from May 18 to June 14, 2026.

selected publications

  1. J. Algebraic Geom.
    Flops and Hilbert schemes of space curve singularities
    Duiliu Emanuel Diaconescu, Mauro Porta, Francesco Sala, and Arian Vosoughinia
    Journal of Algebraic Geometry, 2026
  2. Math. Ann.
    Shuffle algebras for quivers as quantum groups
    Andrei Neguţ, Francesco Sala, and Olivier Schiffmann
    Mathematische Annalen, 2025
  3. JEMS
    Two-dimensional categorified Hall algebras
    Mauro Porta and Francesco Sala
    Journal of the European Mathematical Society, 2023
  4. Algebr. Geom.
    Cohomological Hall algebra of Higgs sheaves on a curve
    Francesco Sala and Olivier Schiffmann
    Algebraic Geometry, 2020
  5. Selecta Math. (N.S.)
    The circle quantum group and the infinite root stack of a curve
    Francesco Sala and Olivier Schiffmann
    Selecta Mathematica. New Series, 2019