研究
我的主要研究方向是代数几何 与几何表示论. 我主要关注代数叠 的理论, 包括叠的上同调､层范畴等几何不变量, 以及由之构造的代数结构与计数不变量.
另见我的学术报告列表.
目录
出版论文§
C. Bu (2026). Proper moduli spaces of orthosymplectic complexes.
Bulletin of the London Mathematical Society 58 (7), e70447, 9 页.
(doi) (zbMATH) (arXiv)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, 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.