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Basic Information
Basic Information
I am now a third-year Ph.D. student from AMSS in Chinese Academy of Sciences in Beijing under the supervision of Prof. Yalong Cao and Prof. Baohua Fu (see also Morningside Center ).
I got my bachelor degree from Shandong University in 2023.
My e-mail: liuxiaolong[at]amss[dot]ac[dot]cn
Located at: Beijing, China
Research
Research
My research interest includes algebraic geometry, especially moduli spaces, derived geometry (such as shifted symplectic geometry ), enumerative geometry (such as Donaldson-Thomas theory, especially for Calabi-Yau 4-folds) and related topics.
Pandharipande-Thomas invariants of local resolved conifold.
Working in process...
Donaldson-Thomas invariants of [C⁴/Zᵣ].
Submitted (2025). 30 pages. [arXiv: 2507.21582]
Talks and Slides
Talks and Slides
December 17-19, 2025. "Strings, geometry and supersymmetry" workshop (short talk). YMSC, Tsinghua U. Beijing, China. [link]
Title: Donaldson-Thomas invariants of [C⁴/Zᵣ]. (December 19, 2025) [Need to add...]
Title: Donaldson-Thomas invariants of [C⁴/Zᵣ]. [Notes]
July 26-30, 2025. International Conference on Mathematics inspired by string theory: celebrating the 60th birthday of Conan Leung. SUSTech, Shenzhen, China. [link]
Title: Donaldson-Thomas invariants of [C⁴/Zᵣ]. (July 30, 2025) [Slides]
Other Writings
Other Writings
(2024) Classical Theory of Behrend-Fantechi's Virtual Classes. [PDF]
(2024) Varieties of Minimal Rational Tangents of Fano Varieties. [PDF]
(2023) Modern Theory of Moduli Spaces, Stability and Relate Topics. [PDF]
(2023-24, Kuznetsov Components (has been abandoned) [PDF])
(2023) The foundations of étale cohomology (in Chinese, only). [PDF]
(2023) Moduli Spaces of Algebraic Curves. [PDF]
Some writings in Banana Space. [link]
Others: Chinese Calligraphy
Others: Chinese Calligraphy
Here are my favorite Chinese calligraphy:
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