Research Interest
Contact and symplectic topology, knot invariants,
microlocal sheaf theory, and cluster algebras
Papers
Augmentations and sheaves for links.
A note on the augmentation-sheaf correspondence.
Survey submitted to a conference Proceeding.
Non-fillable augmentations of twist knots, with Dan Rutherford.
To appear in Int. Math. Res. Not. IMRN. arXiv:2103.03951.
Positive braid links with infinitely many fillings, with Linhui Shen, Daping Weng.
Augmentations, fillings, and clusters, with Linhui Shen, Daping Weng.
Infinitely many Lagrangian fillings, with Roger Casals.
Ann. of Math. (2) 195 (2022), no. 1, 207-249. arXiv:2001.01334.
Augmentations and link group representations.
Algebr. Geom. Topol. 21 (2021), no. 6, 2857-2898. arXiv:1903.01012.
Simple sheaves for knot conormals.
J. Sympl. Geom. 18 (2020), no. 4, 1027-1070. arXiv:1805.00914.
Radon transform for sheaves.
Spherical tiling by 12 congruent pentagons, with Nan Shi, Min Yan.
J. Combin. Theory Ser. A 120 (2013), no. 4, 744-776. arXiv:1009.2361.