photo F. Fillastre, place Audin

François Fillastre

Maître de Conférences at University of Montpellier


Postal Address: IMAG, c.c. 051
Université de Montpellier
Place Eugène Bataillon
34095 Montpellier Cedex 5

Delivery Address: Université de Montpellier
UMR 5149 - IMAG - Bât 9
Place Eugène Bataillon
34095 Montpellier

(office 3.14, building 9, campus map)


Research in differential geometry at IMAG, in the GTA team.

I belong to the French research groups RT2182 Tétraèdre (previously GDR Platon) and to the ANR project GAPR.

Corganizer of the weekly seminar Séminaire Darboux at Montpellier.

Teaching at the mathematics department of Faculté des Sciences de Montpellier.


July 1-4 2024, workshop Geometry and Analysis on metric surfaces , Warsaw, Poland.

April 15-19 2024, conference of the ANR project GAPR, Submanifolds of locally symmetric spaces: geometric, analytic and dynamical aspects Autrans, France.


September 16 2023, the book Reshetnyak's Theory of Subharmonic Metrics is finally ready ---I am the co-editor.

September 1-October 31 2023: Participated to the ESI semester Geometry beyond Riemann: Curvature and Rigidity, Vienna
June 1-2 2023: I co-organized the mini-conference Teichmüller space: from low dimension to Infinity and beyond, Montpellier


Polyhedral surfaces in flat (2+1)-spacetimes and balanced cellulations on hyperbolic surfaces,
with Roman Prosanov
Preprint arxiv 

An Introduction to Reshetnyak’s Theory of Subharmonic Distances,
in Reshetnyak's Theory of Subharmonic Metrics, CRM-Springer 2023 article arxiv 

Hyperbolic geometry of shapes of convex bodies,
with Clément Debin.
Groups, Geometry, and Dynamics 2022. article

A remark on one-harmonic maps from a Hadamard surface of pinched negative curvature to the hyperbolic plane,
with Andrea Seppi.
Josai Mathematical Monographs 2021 article

Generalization of a formula of Wolpert for balanced geodesic graphs on closed hyperbolic surfaces,
with Andrea Seppi.
Annales Henri Lebesgue 2020 article

Quasi-Fuchsian co-Minkowski manifolds,
with Thierry Barbot.
in In the tradition of Thurston, Springer Cham, 2020 article arxiv

A note on invariant constant curvature immersions in Minkowski space,
with Graham Smith,
Geometriae Dedicata, 2020 article arxiv

Embeddings of non-positively curved compact surfaces in flat Lorentzian manifolds,
with Dmitriy Slutskiy,
Mathematische Zeitschrift, 2019 article arxiv

Spherical, hyperbolic and other projective geometries: convexity, duality, transitions,
with Andrea Seppi,
in Eighteen Essays in Non-Euclidean Geometry, 2019 article arxiv

Group actions and scattering problems in Teichmüller theory,
with Graham Smith,
in Handbook of group action IV, 2018 article arxiv

The equivariant Minkowski problem in Minkowski space,
with Francesco  Bonsante.
Ann. Inst. Fourier , 2017 article

A remark on spaces of flat metrics with cone singularities of constant sign curvatures,
with Ivan Izmestiev.
Sémin. Théor. Spectr. Géom. 2017 article

A short elementary proof of reversed Brunn–Minkowski inequality for coconvex bodies
Sémin. Théor. Spectr. Géom. 2017 article

Shapes of polyhedra, mixed volumes, and hyperbolic geometry,
with Ivan Izmestiev.
Mathematika, 2017 article arxiv

Lorentzian area measures and the Christoffel problem,
with Giona Veronelli.
Ann. Sc. Norm. Super. Pisa, 2016 article
Hyperbolization of cusps with convex boundary,
with Ivan Izmestiev and Giona Veronelli.
Manuscripta Math., 2016 article arxiv

Christoffel and Minkowski problems in Minkowski space,
Théor. Spectr. Géom. 2015 article

Polygons of the Lorentzian plane and spherical simplexes,
Elem. Math., 2014 article

Fuchsian convex bodies: basics of Brunn--Minkowski theory,
Geom. Funct. Anal. 2013 article

Flippable tilings of constant curvature surfaces,
with Jean-Marc Schlenker.
Illinois J. Math., 2012 article

Gauss images of hyperbolic cusps with convex polyhedral boundary, with Ivan Izmestiev.
Trans. Am. Math. Soc., 2011 article

Fuchsian polyhedra in Lorentzian space-forms,
Mathematische Annalen, 2011 article arxiv

From spaces of polygons to spaces of polyhedra following Bavard, Ghys and Thurston,
Enseign. Math., 2011 article

Existence and uniqueness theorems for convex polyhedral metrics on compact surfaces,
in Current problems in mathematics and mechanics. Vol. VI, 2010 arxiv

Hyperbolic cusps with convex polyhedral boundary,
with Ivan Izmestiev.
Geometry and Topology, 2009 article

Polyhedral hyperbolic metrics on surfaces,
Geom. Dedicata, 2008 Erratum Geom. Dedicata 2009 article arxiv

Polyhedral realisation of hyperbolic metrics with conical singularities on compact surfaces,
Ann. Inst. Fourier, 2007 article


Hicham Labeni, PhD Cergy 2016-2020
Realizing metrics of curvature \leq −1 on closed surfaces in Fuchsian anti-de Sitter manifolds
Journal of the Australian Mathematical Society, 2021 article arxiv

Dmitriy Slutskiy, Post doc Cergy 2015-2016
Embeddings of non-positively curved compact surfaces in flat Lorentzian manifolds
Mathematische Zeitschrift, 2019 article arxiv


I graduated in 2006 under the supervisation of Bruno Colbois (Neuchâtel) and Jean-Marc Schlenker (Toulouse ---now Luxembourg). I spent one year post doc position in Friboug (CH) under the supervision of Ruth Kellerhals I was a Maître de Conférence at Université de Cergy-Pontoise (now called CYU), then I moved to Université de Montpellier in 2020 on the basis of an greement, and then formally in 2022.

I spent the academic year 2019-2020 at the IRL CRM-CNRS at Université de Montréal

During the Covid lockdown, we ran the online Pangolin Seminar (2020-2021) with some colleagues.

Powered by w3.css