Research papers
Regular Lagrangians in Lefschetz fibrations (with
Joseph Breen and
Agniva Roy).
arXiv:2510.12170.
Properties of contact toric structures and concave boundaries of linear plumbings
(with Aleksandra Marinković,
Jo Nelson,
Ana Rechtman,
Laura Starkston and
Shira Tanny).
Transactions of the AMS, to appear.
arXiv:2501.08451.
A note on a nontrivial connected component of the space of symplectic structures.
Algebraic & Geometric Topology, to appear.
arXiv:2410.16216.
Spinal open books and symplectic fillings with exotic fibers (with
Hyunki Min and
Agniva Roy).
arXiv:2410.10697.
Spin(7)-instantons on Joyce's first examples of compact Spin(7)-manifolds (with
Mateo Galdeano,
Daniel Platt and
Yuuji Tanaka).
Journal of Geometric Analysis (2025).
arXiv:2310.03451.
On Donaldson's four-six question (with Amanda Hirschi).
Geometry and Topology, to appear.
arXiv:2309.07041. Slides.
Recording.
Infinitely many monotone Lagrangian tori in higher projective spaces (with Soham Chanda and
Amanda Hirschi).
Journal of Fixed Point Theory and Applications (2024).
arXiv:2307.06934.
A connected sum formula for embedded contact homology.
Advances in Mathematics (2025).
arXiv:2305.01646. Recording.
Legendrian embedded contact homology (with
Julian Chaidez,
Oliver Edtmair,
Yuan Yao and
Ziwen Zhao).
arXiv:2302.07259.
Fixed-point-free pseudo-Anosov homeomorphisms, knot Floer homology and the cinquefoil (with Ethan Farber and Braeden Reinoso).
Geometry and Topology (2024). arXiv:2203.01402. Slides.
A combinatorial proof of invariance of double-point enhanced grid homology (with Timothy Ratigan and Joshua Wang).
Journal of Knot Theory and Its Ramifications (2025).
arXiv:1810.03202.
Hyperbolicity of links in thickened surfaces (with Colin Adams, Carlos Albors-Riera, Beatrix Haddock, Zhiqi Li, Daishiro Nishida and Braeden Reinoso).
Topology and its Applications (2019).
arXiv:1802.05770.
Seminars and Workshops
Joint PU/IAS Symplectic Geometry Seminar.
KYLEREC workshop. This is an annual student-run symplectic geometry workshop.
The Geometric Topology Grad and Postdoc Seminar (GT GAPS). This is a weekly student-run Zoom seminar.
Teaching
Fall 2025: Instructor for MAT 201 (Multivariable Calculus), Princeton University.
Spring 2019: Graduate Student Instructor for Math 54 (Linear Algebra & Differential Equations), UC Berkeley.
Fall 2018: Graduate Student Instructor for Math 54 (Linear Algebra & Differential Equations), UC Berkeley.