CV

This is a brief version of my Curriculum Vitae. For the full version, please refer to the PDF file.

Current Position

  • 2022 - Present
    Associate Professor
    Università di Pisa, Italy
  • 2023 - Present
    Visiting Scientist
    Kavli IPMU, University of Tokyo, Japan

Academic Interests

  • Algebraic Geometry
    • Moduli spaces
    • (Derived) Artin stacks
  • Geometric Representation Theory
    • Cohomological Hall Algebras and their Categorification
    • Geometric realisations of Quantum Groups and their representations
  • Mathematical Physics
    • Gauge Theory

Education

  • 2011
    PhD in Geometry and Doctorat en Mathématiques Pures (co-tutorial thesis)
    SISSA, Italy, and Université Lille 1, France
  • 2008
    Master's Degree in Mathematics (in collaboration with SISSA)
    Università degli Studi di Trieste, Italy

Previous Positions

  • 2020 - 2022
    Visiting Associate Scientist
    Kavli IPMU, University of Tokyo, Japan
  • 2019 - 2022
    Assistant Professor (RTDb)
    Università di Pisa, Italy
  • 2016 - 2019
    Postdoctoral Fellow
    Kavli IPMU, University of Tokyo, Japan
  • 2014 - 2016
    Postdoctoral Fellow
    University of Western Ontario, London, Canada
  • 2012 - 2014
    Postdoctoral Research Associate
    Heriot-Watt University, Edinburgh, UK

Grants

  • 2023 - 2024
    MIT - Italy Università di Pisa Seed Fund (PI) "Quantum Structures and Enumerative Geometry"
    • Grant Amount = EURO 20000
    • Members = A. Maffei (Università di Pisa), D. Maulik (MIT), and A. Neguţ (MIT)
  • 2021 - 2026
    Grant-in-Aid for Scientific Research C (PI, no. 21K03197) "Yangians and Cohomological Hall algebras of curves"
    • Grant Amount = JPY 4290000 (approx. EURO 27000)
    • Funding Agency = Japanese Society for the Promotion of Science, Japan
  • 2020 - 2022
    Progetto di Ricerca di Ateneo (no. PRA_2020_40) "Spazi di moduli, geometria aritmetica e aspetti storici"
    • Grant Amount = EURO 31625
    • Members = A. Bandini, A. Cogliati, V. Melani, T. Szamuely, M. Talpo (PI)
    • Funding Agency = Università di Pisa, Italy
  • 2018 - 2020
    Grant-in-Aid for Young Scientists (PI, no. JP18K13402) "Cohomological Hall algebra of a curve"
    • Grant Amount = JPY 2860000 (approx. EURO 18000)
    • Funding Agency = Japanese Society for the Promotion of Science, Japan
  • 2017 - 2019
    Grant-in-Aid for Research Activity Start-up (PI, no. JP17H06598) "Hall algebras and gauge theory on a surface"
    • Grant Amount = JPY 1300000 (approx. EURO 8000)
    • Funding Agency = Japanese Society for the Promotion of Science, Japan

Supervision

  • PhD Dissertation
    • Mattia Pedrini (co-supervised with U. Bruzzo), SISSA, Italy. Thesis titled "Moduli spaces of framed sheaves on stacky ALE spaces, deformed partition functions and the AGT conjecture" and defended in September 2013
  • Master's Degree Theses
    • Ziwei Wei, SISSA, Italy. Thesis in progress
    • Anna Borri, Università di Pisa, Italy. Thesis titled "Perverse coherent sheaves and derived equivalences" and defended in September 2024
    • Luca Morstabilini, Università di Pisa, Italy. Thesis titled "Counting indecomposable vector bundles and stable Higgs sheaves over smooth curves" and defended in February 2024
    • Nicolò Bignami, Università di Pisa, Italy. Thesis titled "On the Beauville-Voisin conjecture for Hilbert schemes of points on K3 surfaces" and defended in October 2023
    • Davide Ferri, Università di Pisa, Italy, and Hokkaido University, Japan. Thesis titled "Algebraic Structures Related to The Dynamical Yang-Baxter Equation" and defended in June 2023. Thesis co-supervised with Y. Shibukawa
    • Francesca Pratali, Università di Pisa, Italy. Thesis titled "Dendroidal $\infty$-operads" and defended in September 2022. Thesis co-supervised with E. Hoffbeck (Université Sorbonne Paris Nord, France)
  • Bachelor's Degree Theses
    • Edoardo Ciminelli, Università di Pisa, Italy. Thesis titled "Rappresentazioni di gruppi di Lie compatti e il teorema di Peter-Weyl" and defended in September 2022
    • Davide Chionna, Università di Pisa, Italy. Thesis titled "Classificazione delle algebre di Lie semisemplici su campi algebricamente chiusi" and defended in September, 2021
    • Nicolò Bignami, Università di Pisa, Italy. Thesis titled "Rappresentazioni di quivers e teorema di Gabriel" and defended in September, 2021
    • Chiara Valentina Gaetano, Università di Pisa, Italy. Thesis titled "Fibrati vettoriali, classi di Chern e la loro relazione con la coomologia della Grassmanniana" and defended in May, 2021