Research
Articles and preprints
James Hughes. Legendrian Loops and Cluster Modular Groups, (preprint).
Orsola Capovilla-Searle, James Hughes, Daping Weng. Augmentations, Fillings, and Clusters for 2-bridge Links, (preprint).
James Hughes. Lagrangian Fillings in A-type and their Kálmán Loop Orbits, Rev. Mat. Iberoam. 39-5 (2023), 1681–1723.
James Hughes. Weave Realizability for D-type, Algebraic & Geometric Topology 23-6 (2023), 2735--2776.
Selected Talks and Slides
August '22: "Cluster structures from Legendrian weaves," SYNC Early Career Workshop, UC Davis.
June '22: "An introduction to Legendrian weaves," Geometric Topology Grad and Postdoc Seminar
May '22: "Legendrian weaves and D-type Lagrangian fillings," Northern California Symplectic Geometry Seminar, UC Berkeley.
November '21: "Legendrian weaves and Lagrangian fillings," Michigan State University Geometry and Topology Seminar.
October '21: "Legendrian weave calculus and clusters," Clusters and braids seminar, AIM program on link homology. Slides and video
October '21: "Lagrangian fillings of A-type and their Kálmán loop orbits" UC Davis Algebraic Geometry Seminar. Slides