Publications

Some recent preprints :

• Convergence and collapsing of CAT(0)-group actions (with N. Cavallucci), preprint arxiv: 2405.01595 (2024)

• Finiteness of CAT(0) group actions (with N. Cavallucci), preprint arxiv: 2304.10763 (2023)

• Thin actions on CAT(0) spaces (with N. Cavallucci), preprint arxiv: 2210.01085 (2022)

• Finiteness Theorems for Gromov-Hyperbolic Spaces and Groups (with G. Besson, G. Courtois & S. Gallot), preprint arxiv: 2109.130 (2021)

• Curvature-free Margulis lemma for Gromov-Hyperbolic spaces (with G.Besson, G.Courtois & S.Gallot), preprint arxiv: 1712.08386 (2017)

A selection of my papers (you can get the arxiv or preprint version by clicking on them) :

• Discrete groups of packed, non-positively curved, Gromov hyperbolic metric spaces (with N. Cavallucci), to appear in Geometria Dedicata (2023)

• Packing and doubling in metric spaces with curvature bounded above (with N. Cavallucci), Mathematische Zeitschrift 300, 3269–3314 (2021)

• Entropy and finiteness of groups with acylindrical splittings (with F. Cerocchi), Groups, Geometry and Dynamics, Groups Geometry and Dynamics 15, n.3, 755–799 (2021)

• Entropy rigidity of negatively curved manifolds of finite volume (with M.Peigné), Mathematische Zeitschrift 293, 609-627 (2019)

• Asymptotic Geometry of negatively curved manifolds of finite volume (with F. Dal’bo,  M.Peigné & J.C.Picaud), Ann. Sci. de l' E.N.S. 52 (6), 1459-1485 (2019)

• Growth gap in hyperbolic groups and amenability (with R. Coulon & F.Dal’Bo), G.A.F.A.,  Vol. 28, n. 5,  1260–1320 (2018)

• Local topological rigidity of non-geometric 3-manifolds (with F. Cerocchi),  Geometry & Topology 23 (6), 2899-2927 (2019)

• Convergence and counting in infinite measure (with F. Dal’bo, M.Peigné & J.C.Picaud), Ann. Institut Fourier vol. 67, 483-520 (2017)

• Quantitative bounded distance theorem and Margulis’ Lemma for Z^n-actions, with applications to homology (with F. Cerocchi), Groups Geometry and Dynamics 10, n.4, 1227-1247 (2016)

• Asymptotic behaviour of the Heisenberg group and its horoboundary (with E. Le Donne & S. Nicolussi Golo), Ann. Mat. Pura e Appl., 1-22 (2015)

• On asymptotically harmonic manifolds of negative curvature (with P. Castillon), Mathematische Zeitschrift, vol. 277, 3-4, 1049-1072 (2014)

• On the horoboundary and the geometry of rays of negatively curved manifolds (with F. Dal'Bo & M. Peigné), Pacific Journal of Mathematics 259-1, 55-100 (2012)

• On the growth of quotients of Kleinian groups (con F. Dal'Bo, M. Peigné & J.C. Picaud), Ergodic Theory and Dynamical Systems 31(3) , pp. 835-851 (2011)

• Growth of non-uniform lattices in pinched negatively curved manifolds (with F. Dal'Bo, M. Peigné, & J.C. Picaud), J. Reine Angew. Math. vol 627 31-52 (2009)

• Asymptotic properties of coverings in negative curvature, Geometry&Topology 12, no. 1, 617-637 (2008)

• On minimal growth  in group theory and Riemannian geometry, proceedings of the International Conference in occasion of the 60th birthday of A.M. Naveira, Valencia 2001, World Scientific, 268-280 (2002)

• Growth tightness of surface groups, Expositiones Mathematicae 20, 345-363 (2002)

• Growth tightness of free and amalgamated products, Ann.Sci. Ecole Norm. Sup. 4 série, t.35, 477-488 (2002)

• On minimal entropy and stability, Geometriae Dedicata 81, no. 1-3, 261-279 (2000)

• Minimal entropy and simplicial volume, Manuscripta Mathematica 99, 541-560 (1999)

• Einstein manifolds, volume rigidity and Seiberg-Witten theory, Sém. Théorie Spectrale et Géomètrie de l'Institut Fourier, vol. 17, 163-184 (1999)

• An obstruction to the existence of Einstein metrics on 4-manifolds, Matematische Annalen 311, 533-548 (1998)

Feel free to contact me if anything in the above list piques your curiosity or you have questions about it.