[Seth: Felix Qui Potuit Rerum Cognoscere Causas. Ex Mira Lanza, Rome.]
andrea.fanelli.1[at]u-bordeaux.fr
Institut de Mathématiques de Bordeaux
Bât. A33, Bureau 372
351 Cours de la Libération
33400 Talence, France
I am a maître de conférences (MCF) in algebraic geometry at the
Institut de Mathématiques de Bordeaux.
I am a member of the Number Theory Group (Équipe de Théorie des Nombres).
I am the PI of the ANR JCJC FRACASSO project.
★ News ★
- (with F. Bernasconi, J. Schneider and S. Zimmermann) Explicit Sarkisov program for regular surfaces over arbitrary fields and applications Arxiv (2024);
- (with E. Floris and S. Zimmermann) Maximal subgroups in the Cremona group Arxiv (2024);
- Colloquium de l'IMB, Bordeaux.
↝ Teaching
From February until August 2025 I am on sabbatical !
↝ Research
My research interests are in birational geometry, especially
- Fano varieties and fibrations;
- Mori fibre spaces and minimal model program;
- rationally simply connected varieties;
- surfaces in positive characteristic;
- algebraic subgroups of the Cremona group.
During the academic year 2018/19 I was a FMJH post-doc in algebraic geometry at the
Laboratoire de Mathématiques de Versailles,
Université Paris Saclay,
funded by the
Programme Sophie Germain.
I was a member of the Algebra and Geometry
team and my supervisor there was
Nicolas Perrin.
In the period Sep 2016 - Aug 2018 I was a postdoc at the
Mathematisches Institut,
HHU Düsseldorf,
where I was a member of the Algebra and Number Theory
research group.
My supervisor there was
Benjamin Klopsch.
During the academic year 2015/16 I was a postdoc at the
Mathematisches Institut,
Universität Basel,
where I was a member of the Algebra and Geometry
research group.
My supervisor there was
Jérémy Blanc.
I obtained my PhD at the
Department of mathematics,
Imperial College London.
I was a member of to the Geometry group and my supervisor was Paolo Cascini.
During the last months of my PhD, I visited IMPA for the Thematic Program on Algebraic Geometry.
Papers/Preprints
In Preparation:
- (with F. Bernasconi, J. Schneider and S. Zimmermann) Factorization centers in dimension 2 over arbitrary fields.
- (with S. Schröer) Iskovskih's theorem for regular surfaces over imperfect fields.
- (with F. Mangolte) A note on the real locus of Fano threefolds.
- (with L. Gruson and N. Perrin) Twisting surfaces on V5.
Submitted:
- (with F. Bernasconi, J. Schneider and S. Zimmermann) Explicit Sarkisov program for regular surfaces over arbitrary fields and applications Arxiv (2024);
- (with E. Floris and S. Zimmermann) Maximal subgroups in the Cremona group Arxiv (2024);
- (with L. Gruson and N. Perrin) Rational curves on V5 and rational simple connectedness Arxiv (2019);
Published/Accepted:
- An introduction to rationally connected fibrations over curves and surfaces, Rendiconti Del Circolo Matematico Di Palermo, Special Issue: Fano varieties (2023).
- (with J. Blanc and R. Terpereau) Automorphisms of P1-bundles over rational surfaces, Épijournal de Géométrie Algébrique (2022).
- (with J. Blanc and R. Terpereau) Connected algebraic groups acting on 3-dimensional Mori fibrations, IMRN (2021);
- (with S. Schröer) The maximal unipotent quotient, unusual torsion in Fano threefolds, and exceptional Enriques surfaces, Épijournal de Géométrie Algébrique (2020);
- (with S. Schröer) Del Pezzo surfaces and Mori fibre spaces in positive characteristic, Trans. Amer. Math. Soc. (2020);
- (with C. Casagrande and G. Codogni) The blow-up of P4 at 8 points and its Fano model, via vector bundles on a degree 1 del Pezzo surface, Revista Matemática Complutense (2019);
- (with G. Codogni, R. Svaldi and L. Tasin) A note on the fibres of Mori fibre spaces, European Journal of Mathematics (2018);
- (with G. Codogni, R. Svaldi and L. Tasin) Fano varieties in Mori fibre spaces, IMRN (2016);
- (with G. Di Cerbo) Effective Matsusaka's Theorem for surfaces in characteristic p, Algebra & Number Theory (2015);
- PhD Thesis (Imperial College London, 2015).
Video
Organised events and seminars
- Workshop FRACASSO 2024, July 1-3 2024, IMB, Bordeaux.
- Séminaire de Théorie des Nombres, IMB Bordeaux;
- Workshop FRACASSO 2023, March 9-10 2023, IMB, Bordeaux.
- 12th swiss-french workshop in Algebraic Geometry, Charmey (CH), 30 January - 3 Feburary 2023;
- Rencontre Bordeaux-Poitiers de géométrie algébrique, Bordeaux, 13-14 Oct 2022;
- Rencontre Bordeaux-Poitiers de géométrie algébrique, Bordeaux, 07-08 Oct 2021;
- Geometry in Pairs, University of Roma Tre, 19-20 Dec 2019;
- Rencontre Feuilletages et K3, Poitiers, 9-10 Oct 2019;
- Workshop/Conference on Del Pezzo surfaces and
Fano varieties, 22-26 Jul 2019, HHU Düsseldorf;
- Aeneas Christmas Conference, University of Roma Tre, 20-21 Dec 2018;
- Düsseldorf Research Seminar in Pure Mathematics, HHU, Nov 2016 - Jul 2018;
- Algebraic Geometry and Representation Theory in Rome, University of Roma Tre, 18-19 Dec 2014;
- Traumatic Workshop: Birational Geometry and Fano Varieties, Imperial College London, 3-4 Apr 2014;
- Characteristic p methods in Algebraic Geometry (funded by LMS), Imperial College London, 2-5 Apr 2013;
- Junior Geometry Seminar, Imperial College London, Oct 2012 - May 2013.
Outreach and charity