Papers
- A remark on homomorphisms from right-angled Artin groups to mapping class groups
Joint work with J. Souto
Preprint, March 2013. [Download PDF]
- The proper geometric dimension of the mapping class group.
Joint work with C. Martínez-Pérez
To appear in Algebraic and Geometric Topology
[Download PDF]
- Rigidity phenomena in mapping class groups.
Joint work with J. Souto.
Preprint, December 2012.
[Download
PDF].
- Finite rigid sets in curve complexes.
Joint work with C. Leininger.
Journal of Topology and Analysis, vol 5 (2013).
[Download
PDF].
- Convexity of strata in diagonal pants of surfaces.
Joint work with C. Lecuire, H. Parlier and K. J. Shackleton.
Publicacions Matematiques 57 (2013) [Download
PDF].
- Hyperbolic structures on surfaces.
(Lecture
notes from the Summer School in Singapore, July 2010. See the
companion notes by
Chris Leininger.)
In Geometry, Topology and Dynamics of Character Varieties, World Scientific 23 (2012).
[Download
PDF].
- Homomorphisms between mapping class groups.
Joint work with J. Souto.
Geometry and Topology 16 (2012). [Download
PDF].
- Holomorphic maps between moduli spaces.
(Formerly part of the paper "Homomorphisms between mapping class groups".)
Joint work
with J. Souto.
Preprint, December 2012. [Download
PDF]
- Automorphisms of the graph of free splittings.
Joint work with J. Souto.
Michigan Math Journal, 60 (2011), vol. 3. [Download
PDF].
- Simplicial embeddings between pants graphs.
Geometriae
Dedicata, 144 (2010), vol. 1, 115--128. [Download
PDF].
- Injections of mapping class groups.
Joint work with C. Leininger
and J. Souto.
Geometry and Topology. 13 (2009) 2523--2541.
[Download
PDF].
- A characterisation of quasiconformal maps using triangles.
Joint work with P. Haïssinsky.
Publicacions Matemàtiques, vol.
52 (2008), num. 2. [Download
PDF].
- Constructing convex planes in the pants complex.
Joint work with
H. Parlier and K. J. Shackleton.
Proceedings of the A.M.S.
137 (2009) 3523-3531. [Download
PDF].
- Totally geodesic subgraphs of the pants complex.
Joint work with
H. Parlier and K. J. Shackleton.
Math. Res. Lett. 15
(2008), no. 2, 309--320. [Download
PDF].
- An obstruction to the strong relative hyperbolicity of a
group.
Joint work with J. W. Anderson and K. J. Shackleton.
Journal
of Group Theory, 10, vol. 6 (2007) pp-749--756. [Download
PDF].
- Uniformly exponential growth and mapping class groups of
surfaces.
Joint work with J. W. Anderson and K. J. Shackleton.
In the
Tradition of Ahlfors-Bers IV, Contemp. Math. 432, Amer. Math.
Soc. [Download
PDF].
- The Weil-Petersson geometry of the five-times punctured
sphere.
In Spaces of Kleinian groups, 219--231, London
Math. Soc. Lecture Note Ser., 329