Research Interest

Contact and Symplectic Topology

knot invariants, microlocal sheaf theory, and cluster algebras

Published Papers

1. A Lagrangian filling for every cluster seed, with Roger Casals.

Inventiones mathematicae 2024.

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

Geometric and Functional Analysis, GAFA 2024.

3. Infinitely many Lagrangian fillings, with Roger Casals.

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

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

Int. Math. Res. Not. IMRN 2023, no.2,1255-1291.

5. Augmentations and link group representations. 

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

6. Simple sheaves for knot conormals. 

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

7. Spherical tiling by 12 congruent pentagons, with Nan Shi, Min Yan.

J. Combin. Theory Ser. A 120 (2013), no. 4, 744-776.