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A list of all the posts and pages found on the site. For you robots out there is an XML version available for digesting as well.
Pages
Posts
How to typeset with Latex? A walking example
這篇文章將介紹如何使用 Latex 排版；我們會介紹 .tex 文件的基本架構並利用一個例子來說明 Latex 的基本語法。
How to use Latex? Installation
Latex 是常用的排版工具。主要是應用在數學、理工科等符號與等式較多的文章排版。本文將簡單介紹如何在電腦上安裝 Latex。
Singular value theorem for linear transformations
Singular value theorem for linear transformations, or singular value decomposition (SVD) theorem for matrices, is widely used in various areas. We will explain the theorem as well as its proof.
publications
A Hodge theoretic criterion for finite Weil–Petersson degenerations over a higher dimensional base
Tsung-Ju Lee. A Hodge theoretic criterion for finite Weil–Petersson degenerations over a higher dimensional base. Mathematical Research Letters 25 (2018), no. 2, 617–647. DOI: 10.4310/MRL.2018.v25.n2.a14
[Journal] [arXiv]
Tautological systems under the conifold transition on G(2,4)
Tsung-Ju Lee and Hui-Wen Lin. Tautological systems under the conifold transition on G(2,4). Asian Journal of Mathematics 23 (2019), no. 3, 501–526. DOI: 10.4310/AJM.2019.v23.n3.a7
[Journal] [arXiv]
A-hypergeometric systems and relative cohomology
Tsung-Ju Lee and Dingxin Zhang. A-hypergeometric systems and relative cohomology. International Journal of Mathematics 31 (2020), no. 13, 2050113. DOI: 10.1142/S0129167X2050113X
[Journal] [arXiv]
On Calabi–Yau fractional complete intersections
Tsung-Ju Lee, Bong H. Lian, and Shing-Tung Yau. On Calabi–Yau fractional complete intersections. Pure and Applied Mathematics Quarterly 18 (2022), no. 1, 317–342. DOI: 10.4310/PAMQ.2022.v18.n1.a10
[Journal] [arXiv]
Period domains for gravitational instantons
Tsung-Ju Lee and Yu-Shen Lin. Period domains for gravitational instantons. Transactions of the American Mathematical Society 376 (2023), 5461–5501. DOI: 10.1090/tran/8856
[Journal] [arXiv]
On the complex affine structures of SYZ fibration of del Pezzo surfaces
Siu-Cheong Lau, Tsung-Ju Lee, and Yu-Shen Lin. On the complex affine structures of SYZ fibration of del Pezzo surfaces Advances in Theoretical and Mathematical Physics 26 (2023), No. 4, 921–955. DOI: 10.4310/ATMP.2022.v26.n6.a7
[Journal] [arXiv]
Non-commutative resolutions as mirrors of singular Calabi–Yau varieties
Tsung-Ju Lee, Bong H. Lian and Mauricio Romo. Non-commutative resolutions as mirror of singular Calabi–Yau varieties. Submitted. Available at arXiv:2307.02038
[arXiv]
A note on periods of Calabi–Yau fractional complete intersections
Tsung-Ju Lee. A note on periods of Calabi–Yau fractional complete intersections. Mathematische Zeitschrift 304, article number 60 (2023). DOI: 10.1007/s00209-023-03321-7
[Journal] [arXiv]
SYZ mirror symmetry for del Pezzo surfaces and affine structures
Siu-Cheong Lau, Tsung-Ju Lee, and Yu-Shen Lin. SYZ mirror symmetry for del Pezzo surfaces and affine structures. Advances in Mathematics, 439 (2024), 109488. DOI: 10.1016/j.aim.2024.109488
[Journal] [arXiv]
Mirror symmetry for double cover Calabi–Yau varieties
Shinobu Hosono, Tsung-Ju Lee, Bong H. Lian, and Shing-Tung Yau. Mirror symmetry for double cover Calabi–Yau varieties. Journal of Differential Geometry, 127 (2024), No. 1, pp. 409–431. DOI: 10.4310/jdg/1717356161
[Journal] [arXiv]
On a conjecture of Huang–Lian–Yau–Yu
Tsung-Ju Lee, Bong H. Lian, and Dingxin Zhang. On a conjecture of Huang–Lian–Yau–Yu, Communications in Analysis and Geometry, 31, No. 6 (2023), pp. 1341–1352. DOI: 10.4310/CAG.2023.v31.n6.a1
[Journal] [arXiv]
Twisted GKZ hypergeometric functions and relative homology
Tsung-Ju Lee and Dingxin Zhang. Twisted GKZ hypergeometric functions and relative homology. Mathematische Annalen 391 (2025), 5553–5580. DOI: 10.1007/s00208-024-03058-6
[Journal] [arXiv]
A supplement to the anticanonical volumes of weak $\mathbf{Q}$-Fano threefolds of Picard rank two
Ching-Jui Lai and Tsung-Ju Lee. A supplement to the anticanonical volumes of weak $\mathbf{Q}$-Fano threefolds of Picard rank two. Submitted. Available at arXiv:2502.19419
[arXiv]
Finite distance problem on the moduli of non-Kähler Calabi–Yau $\partial\bar{\partial}$-threefolds
Tsung-Ju Lee. Finite distance problem on the moduli of non-Kähler Calabi–Yau $\partial\bar{\partial}$-threefolds. Mathematische Annalen 392 (2025), 1541–1583. DOI: 10.1007/s00208-025-03115-8
[Journal] [arXiv]
Non-commutative resolutions and pre-quotients of Calabi-Yau double covers
Tsung-Ju Lee, Bong H. Lian, Mauricio Romo, and Leonardo Santilli. Non-commutative resolutions and pre-quotients of Calabi-Yau double covers. Available at arXiv:2507.00633
[arXiv]
research
talks
teaching
Calculus (1)
微積分一（資源系、環工系）
Calculus (2)
微積分二（資源系、環工系）
Linear algebra (1)
線性代數一
Linear algebra (2)
線性代數二
Algebraic geometry (1)
代數幾何一
Calculus (1)
微積分一（資訊系）