I study knots and surfaces in low-dimensional contact and symplectic topology. My research centers on the construction and classification of exact Lagrangian fillings of Legendrian knots. I often use techniques from the theory of cluster algebras to study these objects.
Exact Lagrangian Fillings of Twist-spun Torus Links, Journal of Knot Theory and its Ramifications (accepted) (2026), with Vincent Chen, Patton Galloway, and Luciana Wei.
Decompositions of Augmentation Varieties via Weaves and Rulings (preprint 2025), with Johan Asplund, Orsola Capovilla-Searle, Caitlin Leverson, Wenyuan Li, and Angela Wu.
Legendrian Doubles, Twist-Spuns, and Clusters, (preprint 2025), with Agniva Roy.
Legendrian Loops and Cluster Modular Groups, (preprint 2024).
Exact Lagrangian Fillability of 3-braid Closures, Bulletin of the LMS 58-1 (2026), 1-20, with Jiajie Ma.
Augmentations, Fillings, and Clusters for 2-bridge Links, Selecta Math. (N.S.) 31-102 (2025), 1-39, with Orsola Capovilla-Searle and Daping Weng.
Lagrangian Fillings in A-type and their Kálmán Loop Orbits, Rev. Mat. Iberoam. 39-5 (2023), 1681–1723.
Weave Realizability for D-type, Algebraic & Geometric Topology 23-6 (2023), 2735--2776.
Spring 2025 Southeastern AMS Sectional: Invariants in Geometric Topology, Low Dimensions and Beyond - Non-orientable Exact Lagrangian Fillings and Cluster Structures
Spring 2024 Southeastern AMS Sectional: Special Session on Interactions of Contact and Symplectic Manifolds - Legendrian Doubles and Twist-spun Tori.
CMS 2023 Winter Meeting: Cluster Algebras in Representation Theory - Cluster Modular Groups of Braid Varieties.
Incheon National University 15th International Symposium on National Sciences - An Introduction to Cluster Structures from Legendrian Links.
LSU Geometry and Topology Seminar - Legendrian Loops and Cluster Modular Groups.
Geometric Topology Grad and Postdoc Seminar - An introduction to Legendrian Weaves.
Clusters and braids seminar, AIM program on link homology - Legendrian Weave Calculus and Clusters (video).