Maître de conférence HDR
Université de Montpellier
France
FDS bat. 9, bureau 3.14
francois.fillastre @ umontpellier.fr
Reshetnyak's Theory of Subharmonic Metrics
Edited by François Fillastre and Dmitriy Slutskiy
10/2023
Centre de Recherches Mathématiques Montréal / Springer
Member of the ANR project Geometry and Analysis in the Pseudo-Riemannian setting
Co-organizer of the Séminaire Darboux at Montpellier
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 arxiv
Generalization of a formula of Wolpert for balanced geodesic graphs on closed hyperbolic surfaces, with Andrea Seppi. Annales Henri Lebesgue 2020 article arxiv
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 arxiv
A remark on spaces of flat metrics with cone singularities of constant sign curvatures, with Ivan Izmestiev. Sémin. Théor. Spectr. Géom. 2017 article arxiv
A short elementary proof of reversed Brunn–Minkowski inequality for coconvex bodies Sémin. Théor. Spectr. Géom. 2017 article arxiv
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 arxiv
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 arxiv
Fuchsian convex bodies: basics of Brunn--Minkowski theory, Geom. Funct. Anal. 2013 article arxiv
Flippable tilings of constant curvature surfaces, with Jean-Marc Schlenker. Illinois J. Math., 2012 article arxiv
Gauss images of hyperbolic cusps with convex polyhedral boundary, with Ivan Izmestiev. Trans. Am. Math. Soc., 2011 article arxiv
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 arxiv
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 arxiv
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 arxiv