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. 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

Dec 16, 2024 I will participate and give a talk at the Workshop on “Enumerative Geometry in East Asia 2024” at KIAS, Korea, from December 16 to 20, 2024.
Oct 01, 2024 I will participate in the Workshop on “Representation Theory and Mathematical Physics” at the University of Parma, Italy, from October 1 to 3, 2024.
Sep 25, 2024 I will participate in the Workshop on “Ricercatori in Algebra e Geometria 2024” at the Università degli Studi di Milano La Statale, from September 25 to September 27, 2024.
Sep 15, 2024 I will participate in the Workshop on “Quantization in Representation Theory, Derived Algebraic Geometry, and Gauge Theory” at the SwissMAP Research Station in Les Diablerets, Switzerland, from September 15 to September 20, 2024.
Sep 03, 2024 I will participate in the Workshop on “Hopf algebras and monoidal categories” at the University of Ferrara, from September 3 to September 6, 2024.

selected publications

  1. Math. Ann.
    Shuffle algebras for quivers as quantum groups
    Andrei Neguţ, Francesco Sala, and Olivier Schiffmann
    Mathematische Annalen, 2024
  2. JEMS
    Two-dimensional categorified Hall algebras
    Mauro Porta, and Francesco Sala
    Journal of the European Mathematical Society, 2023
  3. Algebr. Geom.
    Cohomological Hall algebra of Higgs sheaves on a curve
    Francesco Sala, and Olivier Schiffmann
    Algebraic Geometry, 2020
  4. 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
  5. Adv. Math.
    Framed sheaves on root stacks and supersymmetric gauge theories on ALE spaces
    Ugo Bruzzo, Mattia Pedrini, Francesco Sala, and Richard J. Szabo
    Advances in Mathematics, 2016