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I am a symplectic geometer working in the intersection of dynamical systems, mathematical physics, and algebraic topology.

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I use homology theories stemming from Morse homology and Floer homology — like symplectic cohomology and Rabinowitz Floer homology — to probe dynamics on symplectic manifolds.

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I like studying non-exact symplectic manifolds, understanding dynamics of contact hypersurfaces, and developing mirror-symmetric interpretations and intuition, particularly within quantitative symplectic frameworks.

Publications and preprints

  • Symplectic cohomology and complex-analytic mirror symmetry.  In preparation.

     

  • Semi-orthogonal decompositions in Fukaya-Seidel mirrors to blowups of toric varieties.  In preparation.  With Catherine Cannizzo.

     

  • Rabinowitz Fukaya categories and the categorical formal punctured neighborhood of infinity.  Submitted.  With Sheel Ganatra and Yuan Gao.

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Research Talks

  • Holomorphic Curves and Symplectic Topology Conference, August 2017, Institut Mittag-Leffler

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  • Mathematical Physics Seminar, December 2017, Harvard University CMSA

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  • AMS-AWM Special Session on Women in Symplectic and Contact Geometry, January 2018, Joint Math Meetings

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  • Geometry/Topology Seminar, April 2018, Stony Brook University

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  •  Georgia Topology Conference, June 2018, University of Georgia, Athens

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  •  Topology Seminar, October 2018, UC Berkeley

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  •  Geometry Seminar, November 2018, UT Austin

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  •  Geometry and Physics Seminar, February 2019, Northwestern

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  •  Categorical Symplectic Topology Conference, March 2019, Cambridge University

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  •  AWM Research Symposium, April 2019, Rice University

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  • Homological Algebra, Microlocal Analysis and Symplectic Geometry Conference, June 2019, CRM

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  • QMAP Seminar, October 2019, UC Davis

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  • Symplectic Geometry and Topology Seminar, October 2019, Stony Brook University

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  • Northern California Symplectic Geometry Seminar, November 2019, Stanford University

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  • Workshop on Higher Structures in Geometry and Physics, November 2019, The Fields Institute

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  • Geometry/Topology/Categorification Seminar, January 2020, USC

     

  • Seminário Simplético do Rio, October 2020, Rio de Janeiro

     

  • Floer Theory and Hamiltonian Dynamics of Non-Compact Hypersurfaces Conference, January 2021, ETH Zurich.  Slides.

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Notes from working seminars

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