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.


I received my Ph.D. in October 2011 from SISSA, Trieste, and the Université Lille (formerly, Université de Lille 1) under the supervision of Ugo Bruzzo and Dimitri Markushevich, respectively. I have held several postdoctoral positions abroad: at the Heriot-Watt University in Edinburgh, UK (2012 - 2014), at the University of Western Ontario in London, Canada (2014 - 2016), and at Kavli IPMU (Kavli Institute for the Physics and Mathematics of the Universe), the University of Tokyo, Japan (2016 - 2019). I was an Assistant Professor (RTDb) at the University of Pisa from 2019 to 2022.


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 here.


My research is partially supported by JSPS KAKENHI Grant-in-Aid for Scientific Research C no. 26K03197. Before, it was partially supported by JSPS KAKENHI Grant-in-Aid for Scientific Research C no. 21K03197, JSPS KAKENHI Grant-in-Aid for Young Scientists no. 18K13402, and by JSPS KAKENHI Grant-in-Aid for Research Activity Start-up no. 17H06598.


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

Sep 21, 2026 I will be on sabbatical from September 21, 2026, through September 20, 2027.
May 18, 2026 I will visit Université de Strasbourg, from May 18 to June 14, 2026.
May 14, 2026 I will visit Università Roma Tre and give a talk on May 14, 2026.
May 08, 2026 I will visit Friedrich-Alexander University of Erlangen–Nuremberg and give a talk on May 8, 2026.
Apr 29, 2026 I will visit the University of Edinburgh and give a talk on April 29, 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