Francesco Sala

prof_pic.jpg

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. 21K03197. Before, it was partially supported by PRA (Progetti di Ricerca di Ateneo) no. 2020_40 funded by the University of Pisa, JSPS KAKENHI Grant-in-Aid for Young Scientists no. 18K13402, and by JSPS KAKENHI Grant-in-Aid for Research Activity Start-up no. 17H06598.

news

Aug 18, 2025 I will participate and give a talk at the Conference on “Representations, Moduli and Duality” at the Bernoulli Center at EPFL, Switzerland, from August 18 to 22, 2025.
Jun 10, 2025 I will participate and give a talk at the Workshop on “Current trends in Calabi-Yau moduli” at Université de Strasbourg, France, from June 10 to 13, 2025.
May 30, 2025 I will visit the Université de Strasbourg, from May 30 to June 14, 2025.
Mar 19, 2025 I will be giving a talk on March 19, 2025, at the Geometry Seminar at the Hong Kong University of Science and Technology, China.
Feb 25, 2025 I will visit Kavli IPMU (Kavli Institute for the Physics and Mathematics of the Universe), the University of Tokyo, from February 25 to April 6, 2025.

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, 2025
    to appear
  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