Published papers and research books
2024
(with F. Bertolotti)
Length functions on mapping class groups and simplicial volumes of mapping tori, Ann. Inst. Fourier 74 (2024), 1383-1406.
2023
(with A. Sisto)
Central extensions and bounded cohomology, Ann. H. Lebesgue 6 (2023), 225-258.
(with M. Moraschini)
Gromov's theory of multicomplexes with applications to bounded cohomology and simplicial volume, Mem. Amer. Math. Soc. 283 (2023), no. 1402, 1-166.
2022
(with G. Bargagnati)
The simplicial volume of contractible 3-manifolds,
Trans. Amer. Math. Soc.
375 (2022), no. 5, 3305-3323.
Amenable covers and l^1-invisibility, J. Topol. Anal. 14 (2022), no. 2, 421-437.
2021
(with M. Moraschini)
Ideal simplicial volume of manifolds with boundary,
Int. Math. Res. Not. IMRN
2021 (2021), no. 7, 89-139.
(with A. Maffei)
A remark on the Mayer-Vietoris double complex for singular cohomology,
Homology Homotopy Appl. 23 (2021), 59-68.
2019
(with F. Franceschini, M.B. Pozzetti, A. Sisto)
The zero norm subspace of bounded cohomology of acylindrically hyperbolic groups,
Comment. Math. Helv. 94 (2019), no. 1, 89-139.
(with M. Moraschini)
On volumes of truncated tetrahedra with constrained edge lengths,
Period. Math. Hungar. 79 (2019), 32-49.
2018
Quasi-isometric rigidity of piecewise geometric manifolds,
Handbook of group actions, Vol. IV, 95-139,
Adv. Lect. Math. (ALM), 41 , Int. Press, Somerville, MA, 2018 (edited by L. Ji, A. Papadopoulos,
S.-T. Yau).
2017
Bounded cohomology of discrete groups,
Mathematical Surveys and Monographs of the American Mathematical Society 227 (2017), 193pp.
(with M. Bucher, C. Pagliantini)
A quantitative version of a theorem by Jungreis,
Geom. Dedicata 187 (2017), 199-218.
2016
(with M. Bucher, T. Hartnick)
A note on semi-conjugacy for circle actions,
Enseign. Math. 62 (2016), no. 3-4, 317-360.
(with C. Loeh, C. Pagliantini, R. Sauer)
Integral foliated simplicial volume for aspherical manifolds,
Israel J. Math. 216 (2016), no. 2, 707-751.
2015
(with M. B. Pozzetti, A. Sisto)
Extending higher dimensional quasi-cocycles,
J. Topol. 8 (2015), 1123-1155.
(with M. Bucher, C. Pagliantini)
The simplicial volume of 3-manifolds with boundary,
J. Topol. 8 (2015), 457-475.
(with J.F. Lafont and A. Sisto)
Rigidity of high dimensional graph manifolds,
Astérisque 372 , XXI + 177 pages.
2014
(with M. Bucher, M. Burger, A. Iozzi, C. Pagliantini, M.B. Pozzetti)
Isometric embeddings in bounded cohomology,
J. Topol. Anal. 6 (2014), 1-25.
A note on measure homology,
Glasg. Math. J. 56 (2014), 87-92.
2013
(with R. Benedetti)
Levels of knotting of spatial handlebodies,
Trans. Amer. Math. Soc. 365 (2013), 2099-2167.
2012
(with S. Francaviglia and B. Martelli)
Stable complexity and simplicial volume of manifolds,
J. Topology (2012) 5 (2012), 977-1010.
(with R. Benedetti and R. Ghiloni)
The topology of Helmholtz domains,
Expo. Math. 30 (2012), 319-375.
(with C. Pagliantini)
Relative measure homology and continuous bounded cohomology
of topological pairs,
Pacific J. Math. 257 (2012), 91-130.
(with R. Benedetti)
Alexander quandle lower bounds for link genera,
J. Knot Theory Ramifications 21 (2012).
2011
Continuous cohomology and Gromov's proportionality principle,
Manuscripta Math. 134 (2011), 435-474
2010
(with C. Pagliantini)
The simplicial volume of hyperbolic manifolds with geodesic boundary,
Algebr. Geom. Topol. 10 (2010), 979-1001
2009
(with A. Sisto)
Characterizing hyperbolic spaces and real trees,
Geom. Dedicata 142 (2009), 139-149
2007
Similar fillings and isolation of cusps of hyperbolic 3-manifolds,
Pacific J. Math. 229 (2007), 339-364
(with F. Costantino, B. Martelli, and C. Petronio)
Triangulations of 3-manifolds, hyperbolic relative handlebodies, and
Dehn filling,
Comment. Math. Helv. 82 (2007), 903-933
2006
(with B. Martelli)
Countable groups are mapping class groups of hyperbolic 3-manifolds,
Math. Res. Lett. 13 (2006), 897-910
Commensurability of hyperbolic manifolds with geodesic boundary,
Geom. Dedicata 118 (2006), 105-131
On deformations of hyperbolic 3-manifolds with geodesic boundary,
Algebr. Geom. Topol. 6 (2006), 435-457
2005
An infinite family of hyperbolic graph complements in S^3,
J. Knot Theory Ramifications 14 (2005), 479-496
2004
Hyperbolic manifolds with geodesic boundary which are determined
by their fundamental group,
Topology Appl. 145 (2004), 69-81
(with B. Martelli and C. Petronio)
Small hyperbolic 3-manifolds with
geodesic boundary,
Experimental Math. 13 (2004), 177-190
(with C. Petronio)
Construction and recognition of hyperbolic 3-manifolds with geodesic boundary,
Trans. Amer. Math. Soc. 356 (2004), 3243-3282
2003
(with B. Martelli and C. Petronio)
Dehn filling of cusped hyperbolic 3-manifolds with geodesic boundary,
J. Diff. Geom. 64 (2003), 425-456
(with B. Martelli and C. Petronio)
Complexity and Heegaard genus of an infinite class of compact 3-manifolds,
Pacific J. Math. 210 (2003), 283-297