Main research interest:
Low-dimensional topology
Papers published in or accepted by a journal:
2021 Oct Every Jordan curve inscribes uncountably many rhombi (solo work) (arXiv link) (published in Geometriae Dedicata)
Other papers on arxiv:
2026 Jan Forbidden configurations and definite fillings of lens spaces (with JungHwan Park) (submitted)
2024 May Integer surgeries rational homology cobordant to lens spaces (solo work) (submitted)
Papers in preparation (close to finish):
Extending involutions on lens spaces to 4-manifolds, with Lisa Lokteva and Alice Merz
Other papers in preparation with significant progress:
Lens space cobordism realization problem, with Patricia Sorya
Minimum b_2 of symplectic fillings of lens spaces, solo work
PhD thesis:
On integer surgeries rational homology cobordant to lens spaces Boston College, 2025
Services:
Referee for: Transactions of the American Mathematical Society
Referee for: Algebraic & Geometric Topology
Talks:
Feb 2026 East Asian conference on Geometry and Topology invited talk: Manifolds bounded by lens spaces
Nov 2025 East Asian Gauge Theory Conference invited talk: Lens space fillings
Oct 2025 KMS Annual Meeting contributed talk: Integer surgeries rational homology cobordant to lens spaces
Sep 2025 KAIST lab seminar: Every Jordan curve inscribes uncountably many rhombi
Sep 2025 KAIST lab seminar: Integer surgeries rational homology cobordant to lens spaces
Sep 2024 Harvard University: Integer surgeries rational homology cobordant to lens spaces
Jun 2024 Pisa conference lightning talk: Integer surgeries rational homology cobordant to lens spaces
May 2024 Georgia Topology Conference lightning talk: Integer surgeries rational homology cobordant to lens spaces
Jun 2023 Chinese University of Hong Kong: Inscribing rhombi in Jordan curves
Jun 2023 Chinese University of Hong Kong: Generalizing the Cyclic Surgery Theorem
Mar 2023 Boston College: Infinite Chess
Dec 2021 Boston College: Nobody can stop me from doing induction lol (a talk about transfinite induction)
Nov 2020 Boston College: Inscribing rhombi in a closed loop in $\mathbb{R}^2$
Apr 2020 Boston College: An interesting solution to a graph theory homework problem (a talk about compactness of first-order logic)
Jul 2019 Chinese University of Hong Kong: Constructing minimal-genus Seifert surface
Aug 2018 Chinese University of Hong Kong: A neural network approach to recognize Floer simple manifolds