研究
我目前从事代数几何 研究, 主要关注代数叠 的理论, Donaldson–Thomas 不变量 等计数不变量及其范畴化, 以及计数几何观点下的几何表示论 与导出代数几何 的相关方面.
另见我的学术报告列表.
目录
出版论文§
C. Bu (2026). Modules and generalizations of Joyce vertex algebras.
Forum of Mathematics, Sigma 14, e82, 41 页.
(doi) (zbMATH) (arXiv)C. Bu (2025). A motivic integral identity for $(-1)$-shifted symplectic stacks.
Moduli 2, e16, 38 页.
(doi) (zbMATH) (arXiv)C. Bu (2023). Counting sheaves on curves.
Advances in Mathematics 434, 109334, 87 页.
(doi) (zbMATH) (arXiv)
预印论文§
C. Bu, T. Pădurariu, Y. Toda.
Semiorthogonal decompositions for stacks.
2026 年, 64 页. (arXiv)C. Bu. Proper moduli spaces of orthosymplectic complexes.
2025 年, 9 页. (arXiv)C. Bu, Y.-H. Kiem.
Generalized intersection pairings on moduli spaces of vector bundles over a curve.
2025 年, 43 页. (arXiv)C. Bu. Orthosymplectic Donaldson–Thomas theory.
2025 年, 55 页. (arXiv)C. Bu, A. Ibáñez Núñez, T. Kinjo.
Intrinsic Donaldson–Thomas theory. II. Stability measures and invariants.
2025 年, 61 页. (arXiv)C. Bu, D. Halpern-Leistner, A. Ibáñez Núñez, T. Kinjo.
Intrinsic Donaldson–Thomas theory. I. Component lattices of stacks.
2025 年, 68 页. (arXiv)C. Bu, B. Davison, A. Ibáñez Núñez, T. Kinjo, T. Pădurariu.
Cohomology of symmetric stacks.
2025 年, 131 页. (arXiv)
综述§
C. Bu. What is a vertex algebra?
2026 年, 10 页. (pdf)C. Bu. Stacks and combinatorics in enumerative geometry.
2026 年, 17 页. (pdf)
弃用论文§
C. Bu. Enumerative invariants in self-dual categories. II. Homological invariants.
2023 年, 122 页. (arXiv)C. Bu. Enumerative invariants in self-dual categories. I. Motivic invariants.
2023 年, 147 页. (arXiv)
博士论文§
- C. Bu.
Orthosymplectic enumerative geometry.
博士论文, 2025 年. (pdf)
其他作品§
讲义§
课程项目§
我本科时完成的一些微小研究.