Publications
Published Articles
On the existence of disk-like global sections for Reeb flows on the tight 3-sphere
Duke Math. J. 160 (2011), no. 3, 415-465
Fast finite-energy planes in symplectizations and applications
Trans. Amer. Math. Soc. 364 (2012), no. 4, 1859-1931
LINK CORRECTIONS AVAILABLE HERE (PDF)
Global properties of tight Reeb flows with applications to Finsler geodesic flows on S²
Math. Proc. Cambridge Philos. Soc. 154 (2013), no. 1, 1-27
Systems of global surfaces of section for dynamically convex Reeb flows on the 3-sphere
J. Symplectic Geom. 12 (2014), no. 4, 791-862
A Poincaré-Birkhoff theorem for tight Reeb flows on S³
Invent. Math. 199 (2015), no. 2, 333-422
A dynamical characterization of universally tight lens spaces
Proc. Lond. Math. Soc. (3) 110 (2015), no. 1, 213-269
Local contact homology and applications
J. Topol. Anal. 7 (2015), no. 2, 167-238
Elliptic bindings for dynamically convex Reeb flows on the real projective three-space
Calc. Var. Partial Differential Equations 55 (2016), no. 2, Art. 43, 57 pp.
A systolic inequality for geodesic flows on the two-sphere
Math. Ann. 367 (2017), no. 1-2, 701-753
Sharp systolic inequalities for Reeb flows on the three-sphere
Invent. Math. 211 (2018), no. 2, 687-778
Systolic ratio, index of closed orbits and convexity for tight contact forms on the three-sphere
Compos. Math. 154 (2018), no. 12,
Transversality for local Morse homology with symmetries and applications
Math. Z. Volume 293 (2019), pg. 1513-1599
Contact forms with large systolic ratio in dimension three
Ann. Sc. Norm. Super. Pisa, Vol. XIX (2019), Issue 4, 1561-1582
A note on Schwartzman-Fried-Sullivan Theory, with an application
J. Fixed Point Theory Appl. 22 (2020), no. 1, Paper No. 25
Sharp systolic inequalities for Riemannian and Finsler spheres of revolution
Trans. Amer. Math. Soc. 347 (2021) no. 3, 1815-1845
On the relation between action and linking
J. Mod. Dyn. 17 (2021) 319-336
Global surfaces of section with positive genus for dynamically convex Reeb flows
J. Fixed Point Theory Appl. 24, 45 (2022)
Genus zero global surfaces of section for Reeb flows and a result of Birkhoff
J. Eur. Math. Soc. 25 (2023), no. 9, pp. 3365–3451
Contact three-manifolds with exactly two simple Reeb orbits
Geom. Topol. 27:9 (2023) 3801–3831
Generic properties of 3-dimensional Reeb flows: Birkhoff sections and entropy
Comment. Math. Helv. 99 (2024), no. 3, pp. 557—611
Genus zero transverse foliations for weakly convex Reeb flows on the tight 3-sphere
Adv. Math. 457 (2024), 109909
Papers accepted for publication
Quantitative conditions for right-handedness of flows
To appear in: Annales Scientifiques de l’École Normale Supérieure
Preprints
Proof of Hofer-Wysocki-Zehnder's two or infinity conjecture
arXiv:2310.07636
Hopf orbits and the first ECH capacity
arXiv:2312.11830
Other Contributions
The problem of existence of infinitely many closed geodesics on the 2-sphere
Appendix to chapter “Morse theory, closed geodesics, and the homology of free loop spaces” by Alexandru Oancea
in Free Loop Spaces in Geometry and Topology
IRMA Lecture Series of EMS Publishing House, DOI 10.4171/153
Closed Reeb orbits on the sphere and symplectically degenerate maxima
(joint with Ginzburg, Hein and Macarini)
Proceedings of the conference on Geometrical Methods in Dynamics and Topology, Hanoi
Acta Math. Vietnam. 28, 55-78, 2013
In Preparation
Symplectically slice orbits and a dynamical characterization of the 4-ball
On simply linked Reeb orbits
A Denvir-Mackay theorem for Reeb flows