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Basic Information
Basic Information
I am now a third-year graduate (& first-year Ph.D.) student from AMSS in Chinese Academy of Sciences (see also MCM ) 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
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 and Slides
Talks and Slides
2026
Mar. ??, 2026. ??. BIT , Beijing, China. "Donaldson-Thomas invariants of [C⁴/Zᵣ] ".
??, 2026. ??. SDU , Shandong, 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) [Slides]".
Dec. 05, 2025. Friday Morning Seminar. SIMIS , Shanghai, China. "Donaldson-Thomas invariants of [C⁴/Zᵣ] [Notes]".
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) [Slides] ".
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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