Francesco Sala

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I am an Associate Professor at the Department of Mathematics of the University of Pisa and a Visiting Associate Scientist at Kavli IPMU (Kavli Institute for the Physics and Mathematics of the Universe), the University of Tokyo, Japan.
I am a member of the Italian interuniversity research group GRT: Geometry and Representation Theory.

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

Mar 26, 2023 I will visit ICMAT, Madrid from July 1 to August 6, 2023.
Mar 25, 2023 I will visit SISSA, Trieste from May 8 to May 28, 2023.
Feb 23, 2023 I will give a talk at the Workshop on “Categorified Enumerative Geometry and Representation Theory” at EPFL, Lausanne, from September 11 to September 15, 2023.
Feb 23, 2023 I will give a talk at the Workshop on “Motives in moduli and representation theory” at Radboud University, Nijmegen, The Netherlands, from July 10 to July 14, 2023.

selected publications

  1. JEMS
    Two-dimensional categorified Hall algebras
    Sala, Francesco, and Porta, Mauro
    Journal of the European Mathematical Society  (2023), no. 3, pages 1113–1205
    arXiv Journal
  2. Algebr. Geom.
    Cohomological Hall algebra of Higgs sheaves on a curve
    Sala, Francesco, and Schiffmann, Olivier
    Algebraic Geometry  (2020), no. 3, pages 346–376
    arXiv Journal
  3. Selecta Math. (N.S.)
    The circle quantum group and the infinite root stack of a curve
    Sala, Francesco, and Schiffmann, Olivier
    Selecta Mathematica. New Series  (2019), no. 5, pages Paper No. 77, 86
    arXiv Journal
  4. Adv. Math.
    Framed sheaves on root stacks and supersymmetric gauge theories on ALE spaces
    Bruzzo, Ugo, Pedrini, Mattia,  Sala, Francesco, and Szabo, Richard J.
    Advances in Mathematics  (2016), pages 1175–1308
    arXiv Journal
  5. Adv. Math.
    Framed sheaves on projective stacks
    Bruzzo, Ugo, and Sala, Francesco
    Advances in Mathematics  (2015), pages 20–95
    arXiv Journal