Research
All publications can be accessed on the arXiv, although the published versions may differ. Links to my Master, and PhD Theses as well as some recorded talks can also be found below:
Videos/Quanta Article
Here is a Quanta Article about my recent work on constructing exotic contact structures on spheres with Gironella, Moreno and Zhou.
Here is a recent video of me talking about joint work with Fabio Gironella and Agustin Moreno.
Here is a video of a talk about foliations and contact structures and here is an older one with a younger me.
Articles/Preprints:
Towards the boundary of the fine curve graph, preprint http://arxiv.org/abs/2402.18948, (with S. Hensel and R. Webb)
Tight contact structures without symplectic fillings are everywhere, preprint: https://arxiv.org/abs/2211.03680, (with F. Gironella , A. Moreno and Z. Zhou)
Orbit equivalences of R-covered Anosov flows and applications: Appendix (to appear in Geom. Topol.), preprint: arxiv:2012.11811 (with T. Barthelmé and K. Mann)
Contact open books with flexible pages, Bull. London Math. Soc., 55 (2023)1302-1313 (with D. Crowley)
Rotation sets and actions on curves, Adv. math. Volume 408, Part B (2022), (with S. Hensel K. Mann, E. Militon and R. Webb)
Quasi-morphisms on surface diffeomorphism groups, J. Amer. Math. Soc. 35 (2022), 211-231 (with S. Hensel and R. Webb)
C^0 stability of Anosov boundary action and inequivalent Anosov flows, Ann. Sci. Éc. Norm. Supér. (4) 55 (2022), no. 4, 1003-1046 (with K. Mann)
Bourgeois contact structures: tightness, fillability and applications, Invent. math. 230 (2022), 713-765, (with F. Gironella and A. Moreno)
Approximating C^0-foliations by contact structures, Geom. Funct. Anal., 26 (2016), 1255-1296.
Contact perturbations of Reebless foliations are universally tight, J. Differential Geom., 104, No. 2 (2016), 219-237.
Contact structures, deformations and taut foliations. Geom. Topol. 20 (2016) 697-746.
The topology of Stein fillable manifolds in high dimensions II, Geom. Topol. 19 (2015), 2995-3030 (with D. Crowley and A. Stipsicz)
The topology of Stein fillable manifolds in high dimensions I, Proc. Lond. Math. Soc. 109 (2014), 1363-1401. (with D. Crowley and A. Stipsicz)
Contact structures on M x S^2, Math. Ann. 358 (2014), 351-359. (with D. Crowley and A. Stipsicz)
Symplectic 4-manifolds with fixed point free circle actions, Proc. Amer. Math. Soc. 142 (2014), 3299-3303.
The homology of surface diffeomorphism groups and a question of Morita, Proc. Amer. Math. Soc. 140 (2012), 2543-2549.
Exactly fillable contact structures without Stein fillings, Algebr. Geom. Topol. 12 (2012), 1807-1814.
On foliated characteristic classes of transversely symplectic foliations, J. Math. Sci. Univ. Tokyo 19 (2012), No. 3, 263-280.
Closed leaves of foliations, multisections and stable commutator lengths, J. Topol. Anal. 4 (2011), no. 3, 491-509.
Flat structures on surface bundles, Algebr. Geom. Topol. 11 (2011), no. 4, 2207-2235.
The topology of symplectic circle bundles, Trans. Amer. Math. Soc. 361 (2009), no. 10, 5457-5468.
Other Contributions:
Some remarks on projective Anosov flows in hyperbolic 3-manifolds, Proceedings of MATRIX workshop: Dynamics, Foliations, and Geometry in Dimension 3 (2018). (with C. Bonatti and R. Potrie)
Asymptotic properties of MMM-classes, Geometry, dynamics, and foliations 2013, 283-300, Adv. Stud. Pure Math., 72, Math. Soc. Japan, Tokyo, 2017.
Theses
Master Thesis
Symplectic manifolds with free circle actions (August 2007) (Ps).
PhD Thesis
Two-dimensional foliations on four-manifolds (December 2010) (Pdf).
Habilitation
Contact Structures and Foliations (May 2017) (Available on request).
