Faculties » Faculty of Mathematics » Chairs » Analysis and Geometry

Publications and Preprints


  • Sharp systolic inequalities for Riemannian and Finsler spheres of revolution, (joint with A. Abbondandolo, U. Hryniewicz and
    P. Salomão). arXiv:1808.06995

  • Contact forms with large systolic ratio in dimension three, (joint with A. Abbondandolo, U. Hryniewicz and P. Salomão).
    to appear in Ann. Scuola Norm. Sup. Pisa Cl. Sci. (pdf) 17pp.

  • Systolic ratio, index of closed orbits and convexity for tight contact forms on the three-sphere, (joint with A. Abbondandolo,
    U. Hryniewicz and P. Salomão).
    Compos. Math. 154 (2018), no. 12, 2643-2680. (pdf)

  • Sharp systolic inequalities for Reeb flows on the three-sphere, (joint with A. Abbondandolo, U. Hryniewicz and P. Salomão).
    Invent. Math. 211 (2018), no. 2, 687-778. (pdf)

  • A systolic inequality for geodesic flows on the two-sphere, (joint with A. Abbondandolo, U. Hryniewicz and P. Salomão).
    Math. Annalen 367 (2017), no. 1-2, 701-753. (pdf)

  • Pseudo-rotations with sufficiently Liouvillean rotation number are C^0-rigid.
    Invent. Math. 2 199 (2015), 561-580. (abstract) (pdf)

  • Periodic approximations of irrational pseudo-rotations using pseudoholomorphic curves.
    Ann. of Math. 3 181 (2015), 1033-1086. (abstract) (pdf)

  • First steps towards a symplectic dynamics, (joint with H. Hofer).
    Surveys in Differential Geometry, Vol. 17 (2012), 127-178. (abstract) (pdf)

  • Non-separating contact hypersurfaces in symplectic 4-manifolds, (joint with P. Albers and C. Wendl).
    Algebr. Geom. Topol. 10 (2010), no. 2, 697-737. (abstract) (pdf)

  • Pseudoholomorphic foliations for area preserving disc maps.
    Thesis (Ph.D.)–New York University. ProQuest LLC, Ann Arbor, MI, 2008. 488 pp. ISBN: 978-0549-74518-1 (abstract)