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Publications
2022
Weakly Inscribed Polyhedra;
in Transactions of the American Mathematical Society. Series B (2022), 9
The geometric data on the boundary of convex subsets of hyperbolic manifolds;
E-print/Working paper (2022)
Hyperideal polyhedra in the 3-dimensional anti-de Sitter space;
in Advances in Mathematics (2022), 404(Paper No. 108441, 61 pp),
Solvability of systems of invariant differential equations on H2 and beyond;
E-print/Working paper (2022)
A topological Paley-Wiener-Schwartz Theorem for sections of homogeneous vector bundles on G/K;
E-print/Working paper (2022)
2021
The induced metric on the boundary of the convex hull of a quasicircle in hyperbolic and anti de Sitter geometry; ; ;
in Geometry and Topology (2021), 25-6
Quasicircles and width of Jordan curves in CP1; ; ;
in Bulletin of the London Mathematical Society (2021), 53(2), 507--523
Bending laminations on convex hulls of anti-de Sitter quasicircles;
in Proceedings of the London Mathematical Society (2021), 123(4), 410-432
On the Weyl problem for complete surfaces in the hyperbolic and anti-de Sitter spacesE-print/Working paper (2021)
2020
Constant Gauss curvature foliations of AdS spacetimes with particles;
in Transactions of the American Mathematical Society (2020), 373(6), 4013--4049
Flipping Geometric Triangulations on Hyperbolic Surfaces; ;
in symposium on computational geometry (SoCG) (2020)
2019
Minimizing immersions of a hyperbolic surface in a hyperbolic 3-manifold; ;
E-print/Working paper (2019)
Hyperbolic ends with particles and grafting on singular surfaces;
in Annales de L'Institut Henri Poincaré. Analyse Non Linéaire (2019), 36(1), 181-216
2018
The renormalized volume and uniformisation of conformal structures; ;
in Journal de l'institut de mathématiques de Jussieu (2018), 17(4), 853-912
Properness for circle packings and Delaunay circle patterns on complex projective structures;
E-print/Working paper (2018)
2017
Notes on the Schwarzian tensor and measured foliations at infinity of quasifuchsian manifolds.E-print/Working paper (2017)
2016
Small circulant complex Hadamard matrices of Butson type;
in European Journal of Combinatorics (2016), 51
2015
A cyclic extension of the earthquake flow II; ;
in Annales Scientifiques de l'Ecole Normale Supérieure (2015), 48(4), 811859
Minimal Lagrangian diffeomorphisms between hyperbolic cone surfaces and Anti-de Sitter geometryPresentation (2015, July 13)
2014
Analytic aspects of the circulant Hadamard conjecture; ;
in Annales mathématiques Blaise Pascal (2014), 21
Submatrices of Hadamard matrices: complementation results; ;
in Electronic Journal of Linear Algebra (2014), 27
Collisions of particles in locally AdS spacetimes II. Moduli of globally hyperbolic spaces; ;
in Communications in Mathematical Physics (2014), 327(3), 691-735
Recovering the geometry of a flat spacetime from a background radiation; ;
in Annales Henri Poincare (2014), 15(9), 1733-1799
Productivity and Mobility in Academic Research: Evidence from Mathematicians; ;
in Scientometrics (2014), 98(3), 1669-1701
The convex core of quasifuchsian manifolds with particles;
in Geometry and Topology (2014), 18(4), 2309--2373
Symplectic Wick rotations between moduli spaces of 3-manifolds;
in Annali della Scuola Normale Superiore di Pisa: Classe di Scienze (2014)
Irreducible decomposition for local representations of quantum Teichmüller spaceE-print/Working paper (2014)
Minimal diffeomorphism between hyperbolic surfaces with cone singularitiesE-print/Working paper (2014)
2013
The renormalized volume and the volume of the convex core of quasifuchsian manifoldsin Mathematical Research Letters (2013), 20(4), 773-786
2012
Fixed points of compositions of earthquakes;
in Duke Mathematical Journal (2012), 161(6), 1011--1054
Flippable tilings of constant curvature surfaces;
in Illinois Journal of Mathematics (2012), 56(2), 1213-1256
The Weil-Petersson metric and the renormalized volume of hyperbolic 3-manifolds;
in Handbook of Teichmüller theory. Volume III (2012)
Volume maximization and the extended hyperbolic space;
in Proceedings of the American Mathematical Society (2012), 140(3), 1053--1068
Non-rigidity of spherical inversive distance circle packings;
in Discrete and Computational Geometry (2012), 47(3), 610--617
2011
On polynomial integrals over the orthogonal group; ;
in Journal of Combinatorial Theory. Series A (2011), 118(3), 778--795
Combinatorial aspects of orthogonal group integrals;
in International Journal of Mathematics (2011), 22(11), 1611--1646
Collisions of particles in locally AdS spacetimes I. Local description and global examples; ;
in Communications in Mathematical Physics (2011), 308(1), 147--200
Multi-black holes and earthquakes on Riemann surfaces with boundaries; ;
in International Mathematics Research Notices (2011), (3), 487--552
2010
On orthogonal matrices maximizing the 1-norm; ;
in Indiana University Mathematics Journal (2010), 59(3), 839--856
Maximal surfaces and the universal Teichmüller space;
in Inventiones Mathematicae (2010), 182(2), 279--333
On the infinitesimal rigidity of weakly convex polyhedra;
in European Journal of Combinatorics (2010), 31(4), 1080--1090
Infinitesimal rigidity of polyhedra with vertices in convex position;
in Pacific Journal of Mathematics (2010), 248(1), 171--190
2009
AdS manifolds with particles and earthquakes on singular surfaces;
in Geometric and Functional Analysis (2009), 19(1), 41--82
A symplectic map between hyperbolic and complex Teichmüller theory;
in Duke Mathematical Journal (2009), 150(2), 331--356
Representations of quantum permutation algebras; ;
in Journal of Functional Analysis (2009), 257(9), 2864-2910
2008
On the renormalized volume of hyperbolic 3-manifolds;
in Communications in Mathematical Physics (2008), 279(3), 637--668
Higher Schläfli formulas and applications. II. Vector-valued differential relations;
in International Mathematics Research Notices (2008)
2007
Notes on: ``Lorentz spacetimes of constant curvature'' [Geom. Dedicata 126 (2007), 3--45; MR2328921] by G. Mess; ; ; ; ; ; ;
in Geometriae Dedicata (2007), 126
2006
2005
A rigidity criterion for non-convex polyhedrain Discrete and Computational Geometry (2005), 33(2), 207--221
