I am now an
Assistant Professor at Boston University. My research interest mainly falls in
the interplay between Enumerative Geometry, Differential Geometry and Mirror Symmetry.
I am co-organizing the BU Geometry & Physics Seminar with Brian Williams this year, meeting every Wednesday 4--5pm. Feel free to join us or email me if you are interested to give a talk!
I am co-organizing the Boston University Colloquium
My research is supported by NSF standard grant DMS-2204109 and also a Simons Collaboration grant.
Student Supervised
Sam Bardwell-Evans (2023) (IBS-CGP)
Sidharth Soundararajan
Research
My Publication/Preprints:
Spcial Lagrangian Submanifolds in
K3-Fibered Calabi-Yau 3-Folds
joint work with Shih-Kai Chiu, preprint 2024.
A convergence result for Mean Curvature Flow of totally real submanifolds
joint work with T. Collins and A. Jacob, preprint 2024.
Collapsing of ALH∗-Gravitational Instantons
joint work with Ryosuke Takahashi, preprint 2023.
Recent progress on SYZ mirror symmetry for some non-compact Calabi-Yau surfaces
joint work with Tristan Collins, preprint 2022, to appear in Survey in Diff. Geom.
Period Domains of Gravitational Instantons
joint work with Tsung-Ju Lee, Trans. Amer. Math. Soc. 376 (2023), no. 8, 5461–5501.
SYZ mirror symmetry for del Pezzo surfaces and affine structures
joint work with Siu-Cheong Lau & Tsung-Ju Lee, preprint 2022, to appear in Adv. Math.
The Torelli Theorem for ALH* Gravitational Instantons
joint work with Tristan Collins & Adam Jacob, Math Forum, Sigma (2022), Vol. 10: e79 1--11.
Scattering Diagrams from Holomorphic Discs in Log Calabi-Yau Surfaces
joint work with Sam Bardwell-Evans, Man-Wai Cheung and Hansol Hong, preprint 2021, to appear in J. Differ. Geom.
Some Examples of Family Floer Mirror
joint work with Man-Wai Cheung, Adv. Theor. Math. Phys. Vol. 28, No. 4 (2024), pp. 1081-1150.
The SYZ Mirror Symmetry Conjecture for Del Pezzo Surfaces and Rational Elliptic Surfaces
joint work with Tristan Collins & Adam Jacob, preprint 2020, submitted.
Enumerative Geometry of Del Pezzo Surfaces
Trans. Amer. Math. Soc. 377 (2024), no. 5, 3015–3054.
On the Complex Affine Structures of SYZ Fibration of Del Pezzo Surfaces
joint work with Siu-Cheong Lau & Tsung-Ju Lee, Adv. Theor. Math. Phys. Vol. 26, No. 4 (2022), pp. 921-955.
Decomposition of Lagrangian classeson K3 surfaces
joint work with Kuan-Wen Lai & Luca Schaffler, Math. Res. Let. Vol. 28, No. 6 (2021), pp. 1739-1763.
Special Lagrangian submanifolds of log Calabi-Yau manifolds
joint work with Tristan Collins & Adam Jacob, Duke Math. J. 170 (7) 1291 - 1375, May 15, 2021.
Bulk-deformed potentials for toric Fano surfaces, wall-crossing and period
joint work with Hansol Hong & Jingyu Zhao, Int. Math. Res. Not., Vol. 2022, No. 16, pp. 12699–12766.
On the Tropical Discs Counting on Elliptic K3 Surfaces with General Singular Fibres Trans. Amer. Math. Soc. 373 (2020), 1385-1405. arXiv link
Correspondence Theorem between Holomoprhic Discs and Tropical Discs on K3 Surfaces J. Diff. Geom. Vol. 117, No. 1 (2021), pp. 41-92.
On the Refined of Open Gromov-Witten Invariants on K3 Surfaces Proceedings of the Seventh International Congress of Chinese Mathematicians. Vol. II, 351–366, Adv. Lect. Math. (ALM), 44, Int. Press, Somerville, MA, 2019.
Reduced Open Gromov-Witten Invariants on K3 Surfaces and Multiple Cover Formula Adv. Math.333(2018), 1178--1196.
arXiv link
Open Gromov-Witten Invariants on Elliptic K3 Surfaces and Wall-Crossing Comm. Math. Phys. 349 (2017),
no. 1, 109--164 arXiv link
Counting Holomorphic Discs on K3 Surfaces Tsinghua lectures in mathematics, 293–314, Adv. Lect. Math. (ALM), 45, Int. Press, Somerville, MA, 2019.
Reduced Open Gromov-Witten Invariants on HyperKahler Manifolds Proceedings of the 6th
International Congress of Chinese Mathematicians ALM37, pp. 235–252.
Thesis:
Past Academic Acitivities:
I co-organized the Geometry and Analysis Seminar for Boston Area Graduate Students (GASBAGS) with Tristan Collins, Shing-Tung Yau, Siu-Cheong Lau ,
MIT, Oct 29--30, 2022.
I co-organized Boston University/Keio University/Tsinghua University Workshop 2022
Geometry and Mathematical Physics at Boston University, Jun 27--Jul 1, 202 (with Steve Rosenberg, Hiroyasu Izeki, Siu-Cheong Lau. Si Li ).
I co-organized Geometry and Analysis Seminar for Boston Area Graduate Students (BASBAGS) (with Tristan Collins, Shing-Tung Yau, Siu-Cheong Lau ) at MIT, Nov 6--7, 2021.
I co-organized Boston University/Keio University/Tsinghua University Workshop 2021
Geometry and Mathematical Physics at Boston University, Jun 27--Jul 1, 2021 (with Steve Rosenberg, Hiroyasu Izeki, Siu-Cheong Lau. Si Li ).
I co-organized a special session "Mirror Symmetry and Enumerative Geometry" in the AMS Spring Eastern Sectional Meeting at Brown University, March 20-21, 2021 (with Siu-Cheong Lau and Man-Wai Cheung).
I co-organized Boston University/Keio University Workshop 2020
Geometry and Mathematical Physics at Boston University, Jun 29--Jul 3, 2020 Canceled due to COVID-19 (with Steve Rosenberg, Hiroyasu Izeki, Siu-Cheong Lau ).
I co-organized a Gross-Siebert program learning seminar (with Qile Chen ).
I co-organized a special session "Mirror Symmetry and Enumerative Geometry" in the AMS Spring Eastern Sectional Meeting at Tufts University, March 20-21, 2020 Canceled due to COVID-19 (with Siu-Cheong Lau and Man-Wai Cheung).
