Xiaolong LIU (刘晓龙 / 劉曉龍)

Basic Information

I am now a second-year graduate student from AMSS in Chinese Academy of Sciences 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, China

Research

My research interest includes algebraic geometry, especially moduli spaces, derived geometry, enumerative geometry (such as Donaldson-Thomas invariants, especially of Calabi-Yau 4-folds) and related topics.

Donaldson-Thomas invariants of [C^4/Z_r].

Preprint. [arXiv: 2507.21582] . 30 pages.

Talks and Slides

July 30, 2025. International Conference on Mathematics inspired by string theory: celebrating the 60th birthday of Conan Leung. SUSTech, Shenzhen, China. [url]

Title: Donaldson-Thomas invariants of [C^4/Z_r]. [Slides]

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) The foundations of étale cohomology (in Chinese, only). [PDF]
(2023) Moduli Spaces of Algebraic Curves. [PDF]

My Friends

Zhiyu Liu's Homepage. [url]
Junzhe Lyu's Homepage. [url]
...

Useful Links

Upcoming conferences in algebraic geometry. [url]
The stacks project. [url]
Kerodon. [url]
Morningside Center of Mathematics. [url]

Others: 中國書法

某臨池不輟，尤重行草，以追晉唐之妙也。平日亦攻小楷，然晉人小楷古奧難工，遂轉習唐人书，尤尊歐法。如下三帖，觀之令人頓生『此生難企』之嘆。

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