My research lies in the fields of symplectic geometry and mirror symmetry. I work with Floer theories such as symplectic cohomology and Rabinowitz Floer homology to study open symplectic manifolds.
I am particularly interested in non-exact symplectic manifolds, dynamics of contact hypersurfaces, and developing mirror-symmetric interpretations and intuition, particularly within quantitative symplectic frameworks.
Publications and preprints
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Rabinowitz Fukaya Categories. In preparation. With Sheel Ganatra and Yuan Gao.
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Leaf-wise intersection points from Lagrangians. In preparation (draft available upon request)
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The quantitative nature of reduced Floer theory. Submitted.
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Rabinowitz Floer homology and mirror symmetry
Journal of Topology. 11 (2018), no. 1, 144--179.
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Knot projections with a single multi-crossing.
With C. Adams, T. Crawford, B. DeMeo, M. Landry, A. Lin, M. Montee, S. Park, F. Yhee
Journal of Knot Theory and Its Ramifications, Vol. 24, No. 3 (2015).
Research Talks
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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
Notes from working seminars
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Categorical Dynamics. Columbia University Fall 2014.
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Low-dimensional Topology and mirror symmetry. Stanford University Fall 2019.