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Basic Information
Basic Information
I am Xiaolong LIU (刘晓龙), a third-year graduate (& first-year Ph.D.) student from AMSS in Chinese Academy of Sciences (see also MCM and Institute of Mathematics ) in Beijing under the supervision of Prof. Yalong Cao and Prof. Baohua Fu .
I got my bachelor degree from Shandong University in 2023.
My e-mail: liuxiaolong[at]amss[dot]ac[dot]cn
Located at: Beijing, P. R. China
Hanfu of the late Ming Dynasty.
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 of Calabi-Yau 4-folds and cohomological DT theory) and related topics.
Donaldson-Thomas invariants of [ℂ⁴/ℤᵣ]. [arXiv: 2507.21582], 30 pages. Submitted.
Talks
Talks
2026
Apr. 10, 2026. SDU , Shandong, China. "Virtual Enumerative geometry and Donaldson-Thomas invariants of [ℂ⁴/ℤᵣ]".
Mar. 20, 2026. BIT , Beijing, China. "Donaldson-Thomas invariants of [ℂ⁴/ℤᵣ]".
2025
Dec. 17-19, 2025. "Strings, geometry and supersymmetry" workshop (short talk). YMSC, Tsinghua U. Beijing, China. "Donaldson-Thomas invariants of [ℂ⁴/ℤᵣ]. (Dec. 19, 2025) ".
Dec. 05, 2025. Friday Morning Seminar. SIMIS , Shanghai, China. "Donaldson-Thomas invariants of [ℂ⁴/ℤᵣ]".
Jul. 26-30, 2025. International Conference on Mathematics inspired by string theory: celebrating the 60th birthday of Conan Leung. SUSTech, Shenzhen, China. "Donaldson-Thomas invariants of [ℂ⁴/ℤᵣ]. (Jul. 30, 2025) ".
Other Writings
Other Writings
Notes
(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]
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