Andrea Fanelli

[Seth: Felix Qui Potuit Rerum Cognoscere Causas. Ex Mira Lanza, Rome.]

Andrea Fanelli [CV]

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, member of the Number Theory Group (Équipe de Théorie des Nombres) and organiser of the Colloquium de l'IMB.
I am the PI of the ANR JCJC FRACASSO project.
I am the coordinator of the Master 2 program AGTN (Algebra, Geometry and Number Theory) at the University of Bordeaux.

★ News ★

(with F. Mangolte) A rationality criterion for real Fano threefolds Arxiv (2025);

(with S. Schröer) Iskovskih's theorem for regular surfaces over imperfect fields Arxiv (2025);

(with F. Bernasconi, J. Schneider and S. Zimmermann) Explicit Sarkisov program for regular surfaces over arbitrary fields and applications Arxiv (2024);

Colloquium de l'IMB, Bordeaux.

↝ Teaching

Master 2 AGTN, Algebra, Geometry and Number Theory: all courses are taught in English. Joint with the International ALGANT Program.

Semestre d'automne 2025/26:

General Mathematics (L1, Cours+TD, groupe C1, English);

Linear Algebra 2 (L2, TD, English);

Algebraic Geometry (M2, TD, English);

Geometry (M2, TD, English).

↝ Research

My research interests are in birational geometry, especially

Fano varieties and fibrations;
Cremona groups;
Pathologies in positive characteristic;
Rational curves and rational simple connectedness;
Rationality questions;
Birational classification of algebraic varieties and minimal model program.

Papers/Preprints

Preprints:

(with F. Mangolte) A rationality criterion for real Fano threefolds Arxiv (2025);
(with S. Schröer) Iskovskih's theorem for regular surfaces over imperfect fields Arxiv (2025);
(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 (2023), to appear in Compositio Mathematica;
(with L. Gruson and N. Perrin) Rational curves on V₅ and rational simple connectedness Arxiv (2019), revised version (2024).

In Preparation:

(with L. Gruson and N. Perrin) Rational simple connecredness and Fano threefolds.

Research publications:

(with J. Blanc and R. Terpereau) Automorphisms of P¹-bundles over rational surfaces, Épijournal de Géométrie Algébrique (2023);
(with J. Blanc and R. Terpereau) Connected algebraic groups acting on 3-dimensional Mori fibrations, IMRN (2022);
(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).

Other Scientific Publications:

Rational simple connectedness and the quintic Del Pezzo threefold, ZAG Handbook of Modern Algebraic Geometry, edited by I. Cheltsov and J. Martinez-Garcia (2025);
Raconte-moi... un Chant de Cremona, Gazette de la SMF (2024);
An introduction to rationally connected fibrations over curves and surfaces, Rendiconti Del Circolo Matematico Di Palermo, Special Issue: Fano varieties (2023);
Rational simple connectedness and Fano threefolds, Proceedings of the Nottingham AG Seminar (2023).

PhD Thesis (Imperial College London, 2015).

Videos

Rational simple connectedness and Fano threefolds, talk at ZAG Algebraic Geometry Seminar (2021);
Fano fibrations in positive characteristic, talk at GAGC 2018, CIRM, Luminy (2018);
A PhD in mathematics - pure mathematics section at Imperial College London (2013).

Organised events and seminars

Colloquium de l'IMB, Bordeaux, since Sep 2023;
Journées de géométries complexes de la Fédération MARGAUx, Poitiers, 30 Jun - 2 Jul 2025;
14th swiss-french workshop in Algebraic Geometry, Charmey (CH), 13 - 17 Jan 2025;
Fano varieties in Cetraro, 9-13 Sep 2024;
Workshop FRACASSO 2024, 1-3 Jul 2024, IMB, Bordeaux;
13th swiss-french workshop in Algebraic Geometry, Charmey (CH), 29 Jan - 2 Feb 2024;
Séminaire de Théorie des Nombres, IMB Bordeaux, Sep 2020 - Aug 2023;
Workshop FRACASSO 2023, IMB, Bordeaux, 9-10 Mar 2023;
12th swiss-french workshop in Algebraic Geometry, Charmey (CH), 30 Jan - 3 Feb 2023;
Rencontre Bordeaux-Poitiers de géométrie algébrique, Bordeaux, 13-14 Oct 2022;
Rencontre Bordeaux-Poitiers de géométrie algébrique, Bordeaux, 7-8 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, HHU Düsseldorf, 22-26 Jul 2019;
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

Pictures for the Indam workshop Moduli of K-stable varieties, Rome, Jul 2017;
(with D. Martinelli) First Prize at the Mathematics Department Poster Competition with the poster Minimal model program: contract your bad curves!, Imperial College London, Mar 2014;
(with A. Petracci) the Christmas Charity Card of the Geometry Group, appearing on the Official Website, Imperial College London, Dec 2014;
(with A. Petracci) the Christmas Charity Calendar of the Geometry Group, Imperial College London, Dec 2013.