Here is a list of my publications and pre-prints. They are all available, in a reasonably up-to-date version, on ArXiv.

 

 

- (with Manh-Tien Nguyen and Jean-Marc Schlenker) Weakly almost-Fuchsian manifolds are nearly-Fuchsian. ArXiv

 

- (with P. Bayard) Entire hypersurfaces of constant scalar curvature in Minkowski space. ArXiv

 

- (with Z. Huang and B. Lowe) Uniqueness and nonuniqueness for the asymptotic Plateau problem in hyperbolic space. ArXiv

 

- (with G. Smith and J. Toulisse) On complete maximal submanifolds in pseudo-hyperbolic space. ArXiv

 

- (with F. Bonsante and P. Smillie) Completeness of entire hyperbolic surfaces in Minkowski three-space. ArXiv

 

 

 

- (with O. Malech and M. Mecchia) The multiple fibration problem for Seifert 3-orbifolds. ArXiv

To appear in: Quarterly Journal of Mathematics

 

- (with F. Mazzoli and A. Tamburelli) Para-hyperKähler geometry of the deformation space of maximal globally hyperbolic anti-de Sitter three-manifolds. Arxiv

To appear in: Memoirs of the AMS

 

- (with D. Choudhury and F. Mazzoli) Quasi-Fuchsian manifolds close to the Fuchsian locus are foliated by CMC surfaces. Arxiv - Published

Math. Annalen (2024), 388(4) 3981-4010

 

- (with F. Bonsante and P. Smillie) Complete CMC hypersurfaces in Minkowski (n+1)-space. ArXiv

Communications in Analysis and Geometry (2023), 31(4) 799-845.

 

- (with X. Nie) Affine deformations of quasi-divisible convex cones. ArXiv - Published

Proceedings of the London Math. Society (2023), 127(1) 35-83

 

- (with X. Nie) Regular domains in the affine space and hypersurfaces with Li-normalization. Arxiv - Published

Calculus of Variations and PDE (2023) 62, 4 

 

- (with S. Riolo) Character varieties of a transitioning Coxeter 4-orbifold. ArXiv - Published

Groups, Geometry and Dynamics (2022) 16(3) 779-842

 

- (with X. Nie) Regular domains and surfaces of constant Gaussian curvature in three-dimensional affine space. ArXiv - Published

Analysis & PDE (2022), 15.3, 643-697

 

- (with S. Riolo) Geometric transition from hyperbolic to Anti-de Sitter structures in dimension four. ArXiv - Published

Annali della Scuola Normale Superiore, Classe di Scienze (2022) Vol. XXIII, 1, 115-176

 

- (with C. El Emam) On the Gauss map of equivariant immersions in hyperbolic space. Arxiv - Published

Journal of Topology (2022) 15.1, 238-301

 

- (with C. El Emam) Rigidity of minimal Lagrangian diffeomorphisms between spherical cone surfaces. Arxiv - Open Access

Journal de l’École polytechnique — Mathématiques (2022), 9:581–600

 

- (with M. Mecchia) On the diffeomorphism type of Seifert fibered spherical 3-orbifolds. Arxiv - Open Access

Rend. Istit. Mat. Univ. Trieste (2020), volume 52, 1-39

 

- (with F. Fillastre) Generalization of a formula of Wolpert for balanced geodesic graphs on closed hyperbolic surface. ArXiv - Open Access

Annales Henri Lebesgue (2020), volume 3, 873-899

 

- (with F. Bonsante and P. Smillie) Entire surfaces of constant curvature in Minkowski 3-space. ArXiv - Open Access

Math. Annalen (2019) 374: 1261-1309

 

- On the maximal dilatation of quasiconformal minimal Lagrangian extensions. ArXiv - Published

Geom. Dedicata (2019) 203, 25-52

 

- (with M. Mecchia) Isometry groups and mapping class groups of spherical 3-orbifolds. ArXiv - Published

Math. Zeitschrift (2019) 292.3, 1291-1314

 

- Maximal surfaces in Anti-de Sitter space, width of convex hulls and quasiconformal extensions of quasisymmetric homeomorphisms. ArXiv - Published

Journal of the European Mathematical Society JEMS (2019) 21.6, 1855-1913

 

- (with F. Bonsante) Equivariant maps into Anti-de Sitter space and the symplectic geometry of H^2×H^2. ArXiv - Published

Transactions of the American Mathematical Society (2019), 371.8, 5433-5459

 

- (with F. Bonsante) Area-preserving diffeomorphisms of the hyperbolic plane and K-surfaces in Anti-de Sitter space. ArXiv - Published

Journal of Topology (2018) 11.2, 420-468

 

- The flux homomorphism on closed hyperbolic surfaces and Anti-de Sitter three-dimensional geometry. ArXiv - Open Access

Complex Manifolds (2017) 4.1, 183-199. (Topical Issue on Complex and Differential Geometry)

 

- (with F. Bonsante and A. Tamburelli) On the volume of Anti-de Sitter maximal globally hyperbolic three-manifolds. ArXiv - Published 

Geometric and Functional Analysis (2017) 27:1106-1160.

 

- (with F. Bonsante), Spacelike convex surfaces with prescribed curvature in (2+1)-Minkowski space. ArXiv - Published 

Advances in Mathematics (2017) 304:434–493.

 

- Minimal discs in Hyperbolic space bounded by a quasicircle at infinity. ArXiv - Published 

Commentarii Mathematici Helvetici, (2016) 91.4, 807-839.

 

- (with F. Bonsante), On Codazzi tensors on a surface and flat Lorentzian geometry. ArXiv - Published 

International Mathematics Research Notices IMRN (2016), no. 2, 343–417.

 

- (with M. Mecchia) Fibered spherical three-orbifolds. ArXiv - Published 

Revista Matematica Iberoamericana 31 (2015) no.3, 811-840

 

 

- (with F. Diaf) The Anti-de Sitter proof of Thurston's Earthquake Theorem. Arxiv

In: In the tradition of Thurston III: Geometry and Dynamics, (K. Ohshika and A. Papadopoulos ed.). Springer Verlag, 2024.

 

- (with F. Bonsante) Anti-de Sitter geometry and Teichmüller theory. ArXiv

In: In the tradition of Thurston: Geometry and Topology, pages 545-643 (K. Ohshika and A. Papadopoulos ed.). Springer Verlag, 2020.

 

- (with F. Fillastre) Spherical, hyperbolic and other projective geometries: convexity, duality, transitions (survey). Arxiv - Published

In: Eighteen essays on non-Euclidean geometry (Vincent Albenge and Athanase Papadopoulos ed.). European Mathematical Society Publishing House, 2019.

 

 

- Maximal submanifolds of pseudo-hyperbolic space and their applications. Link

 

- (with E. Trebeschi) The half-space model of pseudo-hyperbolic space. Arxiv

 

- (with F. Fillastre) A remark on one-harmonic maps from a Hadamard surface of pinched negative curvature to the hyperbolic plane. Open Access

 

- Examples of geometric transition from dimension two to four. Open Access

 

- Spacelike surfaces of constant Gaussian curvature in Lorentz-Minkowski space (survey). link

In: Differential Geometry in Lorentz-Minkowski space (ed. Rafael López Camino), pp. 143-167, EUG, Granada, 2017.

 

 

- Asymptotic Plateau problems, their generalizations, and applications to geometric structures. link

Habilitation à diriger des recherches, Université Grenoble Alpes, 2024.

 

- Surfaces in constant curvature three-manifolds and the infinitesimal Teichmüller theory. link

PhD thesis, Università degli Studi di Pavia, 2015.