Home | Filippo Francesco Favale

I am a researcher (RTD/A) at the Department of Mathematics of the University of Pavia since October 2021.

In May 2021, I was granted the Italian “Abilitazione Scientifica Nazionale” (Settore Concorsuale:01/A2, Fascia: 2).

In 2014 I created Curvilinea, a cooperative company whose aim is the popularization of Mathematics.

From January 2018 to September 2021
Postdoc in the geometry group of the Department of Mathematics and Applications of the University of Milano-Bicocca.
From December 2015 to November 2017
Postdoc in the geometry group of the Department of Mathematics of the University of Trento.
From October 2016 to December 2016
Visiting Postdoc at IMUB (Institute of Mathematics of the University of Barcelona) as a guest of Prof. J.C. Naranjo del Val.
From December 2013 to November 2015
Research contract at CIRM (International Center for Mathematical Research) of Bruno Kessler Foundation.

My area of study is complex algebraic geometry. I’m interested, in particular, in

Classification of Calabi-Yau and IHS
Classification of surfaces of general type
Group actions and automorphisms groups of varieties
Geography problems in Algebraic Geometry
Moduli spaces of semistable torsion-free sheaves on curves
Problems related to the choice of polarizations for torsion-free sheaves on reducible curves
Fibered surfaces
Toric Geometry
Gorenstein Artinian Algebras and Lefschetz Properties
Geometry of hessian varieties

Currently, I’m working on:

Moduli spaces and coherent systems of torsion-free sheaves on nodal curves;
Generalization of Brill-Noether loci to torsion-free sheaves on nodal curves;
Variations problems on curves and, more generally, on hypersurfaces. In particular, I’m dealing with this problem for families of planar curves;
Lefschetz properties for Jacobian rings of cubics and generalizations.
Geometry of hessian varieties

November 2013 – Ph.D. in Mathematics and Statistics, University of Pavia.
“Threefolds di Calabi-Yau con azioni di gruppi finiti” (Algebraic Geometry)
Advisor: Prof. Gilberto Bini, Tutor: Prof. Gian Pietro Pirola
September 2010 – Master degree in Mathematics, University of Milano.
“Threefolds di Calabi-Yau con azioni di gruppi finiti” (Algebraic Geometry)
Advisor: Prof. Lambertus van Geemen.” Mark: 110/110 (cum laude).
October 2008 – Bachelor degree in Mathematics, University of Milano.
“Seifert surfaces” (knot theory).
Advisor: Prof.ssa Maria Dedò. Mark: 110/110 (cum laude).
July 2005 – Scientific high school diploma

I am a member of the INdAM (National Institute of High Mathematics) group GNSAGA since 2008.
I am a member of the Italian Mathematical Union (UMI).
I am a member of the editorial committee of the newsletter of the Italian Mathematical Union (UMI).

Here you can find my CV (in Italian). Last update: August 2023.