Research Interest

Contact and symplectic topology, knot invariants,

microlocal sheaf theory, and cluster algebras

Papers

  1. Augmentations and sheaves for links.

arXiv:2109.01285.

  1. A note on the augmentation-sheaf correspondence.

Survey submitted to a conference Proceeding.

  1. Non-fillable augmentations of twist knots, with Dan Rutherford.

To appear in Int. Math. Res. Not. IMRN. arXiv:2103.03951.

  1. Positive braid links with infinitely many fillings, with Linhui Shen, Daping Weng.

arXiv:2009.00499.

  1. Augmentations, fillings, and clusters, with Linhui Shen, Daping Weng.

arXiv:2008.10793.

  1. Infinitely many Lagrangian fillings, with Roger Casals.

Ann. of Math. (2) 195 (2022), no. 1, 207-249. arXiv:2001.01334.

  1. Augmentations and link group representations.

Algebr. Geom. Topol. 21 (2021), no. 6, 2857-2898. arXiv:1903.01012.

  1. Simple sheaves for knot conormals.

J. Sympl. Geom. 18 (2020), no. 4, 1027-1070. arXiv:1805.00914.

  1. Radon transform for sheaves.

arXiv:1712.06453.

  1. 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.