Here is a list of my publications and pre-prints. They are all available, in a reasonably up-to-date version, on 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 O. Malech and M. Mecchia) The multiple fibration problem for Seifert 3-orbifolds. ArXiv

 

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

 

 

 

32) (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

 

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

To appear in: Communications in Analysis and Geometry

 

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

Proceedings of the London Math. Society (2023), DOI 10.1112/plms.12537 

 

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

Math. Annalen (2023), DOI 10.1007/s00208-023-02625-7

 

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

Calculus of Variations and PDE (2023) 62, 4 

 

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

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

 

26) (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

 

25) (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

 

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

Journal of Topology (2022) 15.1, 238-301

 

23) (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

 

22) (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

 

21) (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

 

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

Math. Annalen (2019) 374: 1261-1309

 

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

Geom. Dedicata (2019) 203, 25-52

 

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

Math. Zeitschrift (2019) 292.3, 1291-1314

 

17) 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

 

16) (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

 

15) (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

 

14) 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)

 

13) (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.

 

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

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

 

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

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

 

10) (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.

 

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

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

 

 

8) (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.

 

7) (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.

 

6) (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.

 

 

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

 

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

 

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

 

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

 

1) 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.

 

 

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

PhD thesis, Università degli Studi di Pavia, 2015, 244pp.