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Research

My research focuses on symplectic geometry, various Floer-theoretic invariants, including wrapped Fukaya categories, and their interactions with representation theory, low-dimensional topology, and string topology. 

Symplectic and low-dimensional topology

  1. Morse theory of loop spaces and Hecke algebras 
    with K. Honda, Y. Tian, and T. Yuan, [arXiv]

  2. Heegaard Floer Symplectic homology and Viterbo's isomorphism theorem in the context of multiple particles  with T. Yuan, [arXiv]

  3. Combinatorial proof of Maslov index formula in Heegaard Floer Theory
    Algebraic & Geometric Topology (2024), [arXiv]

Earlier research on toric topology

  1. Dolbeault cohomology of complex manifolds with torus action with T. Panov
    V. A. Rokhlin-Memorial. Topology, Geometry, and Dynamics V. A. Rokhlin-Memorial, Contemp. Math., 772 (2021). [arXiv]

  2. Basic Cohomology of Complex Moment-Angle Manifolds with H. Ishida and T. Panov
    International Mathematics Research Notices (2020) [arXiv]

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