Research
Research Interests
Mirror Symmetry, Symplectic Geometry, (Generalized) Complex Geometry, Lagrangian Floer Theory, (Open) Gromov-Witten Theory, Tropical Geometry
Publications/Preprint
Fukaya's immersed Lagrangian Floer theory and microlocalization of Fukaya category, (with Yong-Geun Oh), preprint
Toric vector bundles, non-abelianization, and spectral networks, preprint
Lagrangian multi-sections and their toric equivariant mirror, (with Yong-Geun Oh), Adv. Math. 441 (2024)
One parameter formal family of cochain complexes, (with Lejay Damien), preprint
Tropical Lagrangian multi-sections and toroidal locally free sheaves, preprint
Tropical Lagrangian multi-sections and toric vector bundles, Pacific J. Math. 325 (2023), no. 2, 299–330.
Tropical Lagrangian multi-sections and smoothing of locally free sheaves on degenerated Calabi-Yau surfaces, (with Kwokwai Chan, Ziming Nikolas Ma), Adv. in Math. Vol 401 (2022)
Reconstruction of TP2 via tropical Lagrangian multi-section, New York J. Math. 27 (2021) 1096–1114.
Geometric Quantization via SYZ Transforms (with Kwokwai Chan), Advances in Theoretical and Mathematical Physics, Vol. 24, No. 1 (2020), pp. 25-66.
SYZ transforms for immersed Lagrangian multi-sections (with Kwokwai Chan ), Trans. Amer. Math. Soc. 372 (2019), no. 8, 5747-5780. n
On the jumping phenomenon of dimension of Hq(Xt,Et) (with Kwokwai Chan ), Asian J. Math. 23 (2019), no. 4, 681-702.
A Frolicher-type inequality for generalized complex manifolds (with Kwokwai Chan ), Ann. Global Anal. Geom. 47 (2015), no. 2, 135-145.
A differential-geometric approach to deformations of pairs (X,E) (with Kwokwai Chan ), Complex Manifolds 3 (2016), 16-40.