Publications

This is a list of my preprints and publications in reverse chronological order.

My papers can also be found on arXiv, Google Scholar, MathSciNet, ORCID, and Scopus.


2025

  1. Preprint
    Cohomological Hall algebras of one-dimensional sheaves on surfaces: Foundations
    Duiliu Emanuel Diaconescu, Mauro Porta, Francesco Sala, Olivier Schiffmann, and Eric Vasserot
    This paper corresponds to Part I of arXiv:2502.19445, 2025
    PDF
  2. Preprint
    Cohomological Hall algebras of one-dimensional sheaves on surfaces: Amalgamation and PBW-type theorems
    Duiliu Emanuel Diaconescu, Mauro Porta, Francesco Sala, Olivier Schiffmann, and Eric Vasserot
    This paper corresponds to Part V of arXiv:2502.19445, 2025
    PDF
  3. arXiv Preprint
    Cohomological Hall algebras of one-dimensional sheaves on surfaces and Yangians
    Duiliu Emanuel Diaconescu, Mauro Porta, Francesco Sala, Olivier Schiffmann, and Eric Vasserot
    The PDF file below includes only Parts II, III, and IV of arXiv:2502.19445, 2025
    arXiv PDF
  4. 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
    arXiv
  5. Math. Ann.
    Shuffle algebras for quivers as quantum groups
    Andrei Neguţ, Francesco Sala, and Olivier Schiffmann
    Mathematische Annalen, 2025
    DOI arXiv

2023

  1. JEMS
    Two-dimensional categorified Hall algebras
    Mauro Porta, and Francesco Sala
    Journal of the European Mathematical Society, 2023
    DOI arXiv
  2. Represent. Theory
    McKay correspondence, cohomological Hall algebras and categorification
    Duiliu Emanuel Diaconescu, Mauro Porta, and Francesco Sala
    Representation Theory of The American Mathematical Society, 2023
    DOI arXiv

2022

  1. Moscow Math. J.
    Continuum Kac-Moody algebras
    Andrea Appel, Francesco Sala, and Olivier Schiffmann
    Moscow Mathematical Journal, 2022
    DOI arXiv
  2. arXiv Preprint
    Cohomological Hall algebras and their representations via torsion pairs
    Duiliu Emanuel Diaconescu, Mauro Porta, and Francesco Sala
    arXiv preprint, 2022
    arXiv
  3. OWR Reports
    Representations of cohomological Hall algebras via stable pairs. In “Interactions between Algebraic Geometry and Noncommutative Algebra (hybrid meeting)”
    Francesco Sala
    Oberwolfach Reports, 2022
    DOI

2021

  1. IMRN
    Fock space representation of the circle quantum group
    Francesco Sala, and Olivier Schiffmann
    International Mathematics Research Notices. IMRN, 2021
    DOI arXiv

2020

  1. Pure Appl. Math. Q.
    Quantization of continuum Kac-Moody algebras
    Andrea Appel, and Francesco Sala
    Pure and Applied Mathematics Quarterly, 2020
    DOI arXiv
  2. Algebr. Geom.
    Cohomological Hall algebra of Higgs sheaves on a curve
    Francesco Sala, and Olivier Schiffmann
    Algebraic Geometry, 2020
    DOI arXiv

2019

  1. 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
    DOI arXiv

2018

  1. Ann. Fac. Sci. Toulouse
    Instantons and framed sheaves on Kähler Deligne-Mumford stacks
    Philippe Eyssidieux, and Francesco Sala
    Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série 6, 2018
    DOI arXiv

2016

  1. 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
    DOI arXiv
  2. J. Geom. Phys.
    AGT relations for abelian quiver gauge theories on ALE spaces
    Mattia Pedrini, Francesco Sala, and Richard J. Szabo
    Journal of Geometry and Physics, 2016
    DOI arXiv

2015

  1. Lett. Math. Phys.
    N=2 quiver gauge theories on A-type ALE spaces
    Ugo Bruzzo, Francesco Sala, and Richard J. Szabo
    Letters in Mathematical Physics, 2015
    DOI arXiv
  2. Adv. Math.
    Framed sheaves on projective stacks
    Ugo Bruzzo, and Francesco Sala
    Advances in Mathematics, 2015
    with an appendix By Mattia Pedrini
    DOI arXiv

2013

  1. J. Pure Appl. Algebra
    Restriction theorems for μ-(semi)stable framed sheaves
    Francesco Sala
    Journal of Pure and Applied Algebra, 2013
    DOI arXiv

2012

  1. Cent. Eur. J. Math.
    Symplectic structures on moduli spaces of framed sheaves on surfaces
    Francesco Sala
    Central European Journal of Mathematics, 2012
    DOI arXiv

2011

  1. PhD Thesis
    Some topics in the geometry of framed sheaves and their moduli spaces
    Francesco Sala
    PhD Thesis, 2011
    WEBSITE