Research
Research interest:
Symplectic topology, Fukaya category, mirror symmetry, low dimensional topology, Hamiltonian dynamics
Publications and preprints:
Fukaya Categories of Hyperplane Arrangements (with Sukjoo Lee, Yin Li and Si-Yang Liu)
Submitted
Hameomorphism groups of positive genus surfaces. (with Ibrahim Trifa)
Submitted
Coulomb branch algebras via symplectic cohomology (with Eduardo González and Dan Pomerleano)
Submitted
A characterization of heaviness in terms of relative symplectic cohomology. (with Yuhan Sun and Umut Varolgunes)
J. Topol. (2024), 17: e12327.
Some cute applications of Lagrangian cobordisms towards examples in quantitative symplectic geometry. (with Jeff Hicks)
Submitted
Subleading asymptotics of link spectral invariants and homeomorphism groups of surfaces. (with Daniel Cristofaro-Gardiner, Vincent Humilière, Sobhan Seyfaddini and Ivan Smith)
Submitted
Affine nil-Hecke algebras and Quantum cohomology. (with Eduardo González and Dan Pomerleano)
Adv. Math. (2023), vol. 415
Quantitative Heegaard Floer cohomology and the Calabi invariant. (with Daniel Cristofaro-Gardiner, Vincent Humilière, Sobhan Seyfaddini and Ivan Smith)
Forum Math. Pi (2022), vol. 10, e27
Circular spherical divisors and their contact topology. (with Tian-Jun Li and Jie Min)
to appear in Comm. Anal. Geom.
Non-displaceable Lagrangian links in four-manifolds. (with Ivan Smith)
Geom. Funct. Anal. 31 (2021), no.2, 438-481
Fukaya-Seidel categories of Hilbert schemes and parabolic category O. (with Ivan Smith)
J. Eur. Math. Soc. (2021)
Tropically constructed Lagrangians in mirror quintic threefolds. (with Helge Ruddat)
Forum Math. Sigma. (2020), vol. 8, e58
Dehn twists and Lagrangian spherical manifolds. (with Weiwei Wu)
Selecta Math. 25 (2019), article no. 68
Symplectic divisorial capping in dimension 4. (with Tian-Jun Li)
J. Symplectic Geom. 17 (2019), no. 6, 1835-1852
Dehn twists exact sequences through Lagrangian cobordism. (with Weiwei Wu)
Compos. Math. 154 (2018), no. 12, 2485–2533
The Kodaira dimension of contact 3-manifolds and geography of symplectic fillings. (with Tian-Jun Li)
Int. Math. Res. Not. (2018), rny166
Geometry of symplectic log Calabi-Yau pairs. (with Tian-Jun Li)
ICCM Not. 6 (2018), no. 2, 42 – 50
Calabi-Yau caps, Uniruled caps and symplectic fillings. (with Tian-Jun Li and Kouichi Yasui)
Proc. Lond. Math. Soc. (3) 114 (2017), no. 1, 159 - 187
Symplectic log Calabi-Yau surface - deformation class. (with Tian-Jun Li)
Adv. Theor. Math. Phys. 20 (2016), no. 2, 351 - 379
Multifractal spectrum of self-similar measures with overlap. (with Cameron Bruggeman and Kathryn Hare)
Nonlinearity 27 (2014), no. 2, 227 - 256.