Research

Mathematical Interests

Broad interests in Contact and Symplectic topology, and interactions: Symplectic Field Theory and related Floer theories (and polyfolds if need calls), holomorphic curves and foliations, approximately and honestly holomorphic geometry, geometric structures in Hamiltonian dynamical systems and celestial mechanics, global analysis, and low-dimensional topology, but all with a biased view towards pushing techniques to higher-dimensions. Further interests in mathematical physics, Quantum Field Theory, String Theory and Quantum Mechanics.

Publications

  1. A global hypersurface of section for the spatial restricted three-body problem, with Otto van Koert (in preparation).
  2. Bourgeois contact structures: tightness, fillability and applications, 2019, with Jonathan Bowden, and Fabio Gironella. Submitted. Arxiv. (This article strictly contains the manuscript titled “5-dimensional Bourgeois contact structures are tight”, therefore now withdrawn.)
  3. Algebraic and Giroux torsion in higher-dimensional contact manifolds, 2019. Submitted. Arxiv.
  4. SFT computations and intersection theory in higher-dimensional contact manifolds, 2019. Submitted. Arxiv.
  5. Holomorphic curves in the presence of holomorphic hypersurface foliations, 2019, with Richard Siefring. Submitted. Arxiv.
  6. Planarity in higher-dimensional contact manifolds, 2018, with Bahar Acu. To Appear in Int. Math. Res. Not. (IMRN). Arxiv.
  7. Algebraic Torsion in higher-dimensional contact manifolds, 2018, PhD thesis. Published via Humboldt Universität zu Berlin. Available in Arxiv.

Invited Talks

Upcoming

Past

Talk in IMPA, Rio de Janeiro, Aug 26, 2019.
Same talk in IAS, Princeton, USA, Oct 7, 2019
Part of a USA, East Coast, mini-tour.

Seminars Organized

  • 2014, UCL Geometry Seminar.

Journal Refereeing

Academic Visits

  • Fabio Gironella, Bahar Acu. Joint visit to Oberwolfach Research Institute for Mathematics, Oberwolfach, Germany, 3-9 Nov 2019.
  • Oleg Lazarev, Columbia University, New York, USA, 19-21 Oct, 2019.
  • Kevin Sackel, Simons Center for Geometry and Physics, and Stony Brook University, Stony Brook, USA, 14-18 Oct 2019.
  • Chris Gerig, Harvard University. Yu Pan, Massachusetts Institute of Technology (MIT), Cambridge, Massachusetts, USA, 10-14 Oct 2019.
  • Zhengyi Zhou. Institute for Advanced Study (IAS), Princeton, New Jersey, USA, 6-10 Oct, 2019.
  • Jonathan Bowden, Fabio Gironella. Visit in Monash University, Melbourne, Australia, 9-25 Sept 2019.
  • Fabio Gironella, Bahar Acu. Joint visit to IMPA, Rio de Janeiro, Brazil, 18 Aug-2 Sept.
  • Oliver Fabert, Vrije Universitet Amsterdam, Amsterdam, Netherlands, 29 April 2019.
  • Fabio Gironella, Chris Wendl. Visit in Humboldt-Universität zu Berlin, Berlin, Germany, 9-12 March 2019.
  • Yoshi Mitsumatsu, Chuo University, Tokyo, Japan. Visit in Tokyo Institute of Technology, Tokyo, Japan, 23 Feb 2019.
  • Otto van Koert, Seoul National University, Seoul, Korea, 12-17, 27-28 Feb 2019.
  • Murat Saglam, Ruhr-Universität Bochum, Bochum, Germany, 29-31 Jan 2019.
  • Nesin Mathematics Village, Selçuk, Izmir, Turkey, 9-15 Sept 2018.
  • Richard Siefring, Ruhr-Universität Bochum, Bochum, Germany. Visit in Münster, Germany, 27 April 2018.
  • Mittag-Leffler Institute, Stockholm, Sweden, 1-19 Sept 2015.

Collaborators

Conferences, Seminars, Summer Schools and Workshops

Upcoming

Past