Curriculum Vitae
Employment
Research Fellow, Korea Institute for Advanced Study, School of Mathematics, September 1, 2023 - present
Research Fellow, Institute for Basic Science, Center for Geometry and Physics, August 16, 2018 - August 15, 2023
Research Assistance, Department of Mathematics, The Chinese University of Hong Kong , August 1, 2017-July 31, 2018
Education
Doctor of Philosophy in Mathematics, The Chinese University of Hong Kong 2018
Thesis Title: SYZ Mirror Symmetry for Immersed Lagrangian Multi-sections
Supervisor: Prof. Kwokwai Chan
Master of Philosophy in Mathematics, The Chinese University of Hong Kong 2014
Thesis Title: Deformations of Pairs
Supervisor: Prof. Kwokwai Chan
Bachelor of Science in Mathematics, The Chinese University of Hong Kong 2012
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.
Awards
Honorable Mention of PhD thesis for New World Mathematics Award 2018
The Best Teaching Assistant Award 2017, Mathematics Department of the Chinese University of Hong Kong.
Invited Talks and Lectures
Toric vector bundles, non-abelianization and spectral networks, IPMU, May, 2024
Tropical Lagrangian multi-sections and locally free sheaves, KIAS, April 29, 2024
Toric vector bundles, non-abelianization and spectral networks, Tsinghua University, March 20, 2024
Toric vector bundles, non-abelianization and spectral networks, Yonsei University, December 20, 2023
Toric vector bundles, non-abelianization and spectral networks, Institute for Basic Sciences - Center for Geometry and Physics, November 13, 2023
Homological mirror symmetry in the Gross-Siebert framework, University of Georgia, September 13, 2023
Homological mirror symmetry via Gross-Siebert program, National University of Colombia, September 6, 2023
Lagrangian multi-sections and their toric equivariant mirror, Research Institute for Mathematical Sciences, April 28, 2023
Lagrangian multi-sections and their toric equivariant mirror, Kavli Institute for the Physics and Mathematics of the Universe, April 18, 2023
Lagrangian multi-sections and their toric equivariant mirror, National Taiwan University, March 2, 2023
Homological mirror symmetry via Gross-Siebert program, National Cheng Kung University, February 23, 2023
Homological mirror symmetry via Gross-Siebert program, National Tsing Hua University, February 20, 2023
Lagrangian multi-sections and their toric equivariant mirror, Mathematics Inspired by String Theory (MIST), The Chinese University of Hong Kong, January 5-13, 2023
Lagrangian multi-sections and their toric equivariant mirror, IBS-CGP & MATRIX workshop on Symplectic Topology, The University of Melbourne, December 5-16, 2022
Lagrangian multi-sections and their toric equivariant mirror, Yonsei BK Geometry Seminar, Yonsei University, October 12, 2022
Lagrangian multi-sections and their toric equivariant mirror, Seoul National University, July 8, 2022
Tropical Lagrangian multi-sections and locally free sheaves, Seoul National University, May 19, 2022
Tropical Lagrangian multi-sections and locally free sheaves, Harvard-CUHK-YMSC Differential Geometry Seminar, March 2, 2022
Tropical Lagrangian multi-sections, IMS Geometry Seminar, CUHK, January 21, 2022
Tropical Lagrangian multi-sections and smoothing of locally free sheaves on log Calabi-Yau surfaces, Legendrians, Cluster algebras and Mirror symmetry, IBS-CGP, January 11-15, 2021
Tropical Lagrangian multi-sections and smoothing of locally free sheaves on log Calabi-Yau surfaces, 4th annual meeting of ICCM, December 27-29, 2020
Reconstruction of TP2 via tropical Lagrangain multi-section, East Asian Symplectic Conference 2019, Taiwan, September 26-October 1, 2019
Reconstruction of TP2 via tropical Lagrangain multi-section, The Chinese University of Hong Kong July 26, 2019
Reconstruction of TP2 via tropical Lagrangain multi-section, Aspect on Mirror Symmetry in Chiba 2019, Chiba University, July 10-11, 2019
Quantization via SYZ transform, Mini workshop on Symplectic geometry and Mirror symmetry, Seoul National University, March 28-29, 2019
Quantization via SYZ transform, AMS Sectional Meeting, University of Hawaii, Manoao, March 22-24, 2019
SYZ transform for immersed Lagrangian multi-sections, Half-day immersion in Floer theory, Rutgers University, December 20, 2018
Geometric quantization via SYZ transforms, Pohang Mathematics Workshop, November 22-25, 2018
Lectures on SYZ, Seoul National University, October 24-25, 2018
Geometric Quantization via SYZ Transforms, Seoul Seminar in Algebraic Geometry (SSAG) VII, Ewha Womans University, September 7, 2018
Geometric Quantization via SYZ Transforms (poster session), Quantum Geometry, Topology and Asymptotics 2018 Conference, Sandbjerg Estate, Denmark, July 9-13, 2018
SYZ transform for immersed Lagrangian multi-sections, Kyoto University, January 30, 2018
SYZ transform for immersed Lagrangian multi-sections, Korea Institute for Advanced Study, January 19, 2018
SYZ transform for immersed Lagrangian multi-sections, Institute for Basic Science, Center for Geometry and Physics, January 17, 2018
On SYZ-transform of immersed Lagrangian multi-sections, Yau Mathematical Sciences Center, Tsinghua University, October 17, 2017
On SYZ-transform of immersed Lagrangian multi-sections, Seoul National University, September 14, 2017
On the Jumping Phenomenon of dimHq(Xt,Et), Mathematics Inspired by String Theory (MIST IX), December 7-9, 2016
On the Jumping Phenomenon of dimHq(Xt,Et), The 7-th International Congress of Chinese Mathematicians, August 6-11, 2016
Deformations of pairs and applications, Tsinghua Sanya International Mathematics Forum, December 8-12, 2014
A Frolicher-type inequality for generalized complex manifolds, Hong Kong Mathematics Society Annul General Meeting 2014, June 6, 20
Academic Activities
School on Lie theoretical methods in symplectic geometry and mirror symmetry, Busan, April 25-28, 2024
Mirror symmetry and related topics, Korea Institute for Advanced Study, January 15-19, 2024.
East Asia Symplectic Conference 2023, JeJu, October 29-November 4, 2023.
Mathematics Inspired by String Theory (MIST) 2023
IBS-CGP & MATRIX workshop on Symplectic Topology, The University of Melbourne, December 5-16, 2022
SYZ mirror symmetry and its applications, Banff International Research Station, August 14-12, 2022
Legendrians, Cluster algebras and Mirror symmetry, IBS-CGP, January 11-15, 2021
4th annual meeting of International Consortium of Chinese Mathematicians (ICCM), December 27-29, 2020
East Asian Symplectic Conference 2019, Taiwan, September 26-October 1, 2019
Calabi-Yau and Geometry, The Chinese University of Hong Kong, July 29-30, 2019
Aspect on Mirror Symmetry in Chiba 2019, Chiba University, July 10-11, 2019
String Math 2019, Uppsala University, July 1-6, 2019
The 8-th International Congress of Chinese Mathematicians, June 9-14, 2019
Mini workshop on Symplectic geometry and Mirror symmetry, March 28-29, 2019
AMS Sectional Meeting, University of Hawaii, Manoao, March 22-24, 2019
Fukaya 60 Geometry and Everything, Kyoto University, February 17-22, 2019
Half-day immersion in Floer theory, Rutgers University, December 20, 2018
Pohang Mathematics Workshop, November 22-25, 2018
Wall-crossing formula, open Gromov-Witten invariants and related areas, Institute for Basic Science, Center for Geometry and Physics, October 29-31, 2018
Seoul Seminar in Algebraic Geometry (SSAG) VII, Ewha Womans University, September 7, 2018
Quantum Geometry, Topology and Asymptotics 2018, Summer school at the Confucius Institute, Geneva, July 2-6, 2018
Lectures on Lagrangian Floer Theory by Professor Kaoru Ono, National Taiwan University, May 19-26, 2018
Mathematics Inspired by String Theory (MIST) 2018
1st annual meeting of International Consortium of Chinese Mathematicians (ICCM), Sun Yat-Sen University, December 27-29, 2017
Pearl Symposium in Geometry at Institute of Mathematical Science of the Chinese University of Hong Kong, November 29-December 1, 2017
Workshop on Gross-Siebert Program at Korea Institute for Advanced Study (KIAS), September 15-21, 2017
Conference and Winter School on: Mirror Symmetry, Tropical Geometry, Gel'fand-Kapranov-Zelevinsky A-Philosophy and Beyond at Korea Institute for Advanced Study (KIAS), February 27-March 4, 2017
Mathematics Inspired by String Theory (MIST) 2017
Conference on Mirror Symmetry and Quantum Field Theory III at South University of Science and Technology of China, January 20-22, 2017
Mini-workshop on SYZ and Homological Mirror Symmetry at the Center of Mathematical Sciences and Application at Harvard University, November 28-December 2, 2016
Mathematics Inspired by String Theory (MIST) 2016
2015 Taipei Conference on Complex Geometry at National Taiwan University, December 19-23, 2015
East Asia Symplectic Conference 2015 at the Chinese University of Hong Kong, November 2-6, 2015
International Symposium on Algebraic and Differential Geometry, Macau University, May 29, 2015
Summer School in Yau's MSC at Tsinghua University, Beijing, China, Summer 2014