威尼斯人娱乐场

清华主页 EN
导航菜单 威尼斯人娱乐场

研究方向概况

研究领域

My research interests lie in the intersection between algebras, topology and geometry, with motivation coming from mathematical physics, e.g. (homological) mirror symmetry. In particular, I study things like Bridgeland’s stability conditions on triangulated categories, quivers with superpotentials, Calabi-Yau/Fukaya categories, braid groups, cluster theory, quadratic differentials, etc.

教育背景

2008-2011 博士 巴斯大学 (Uni. of Bath, UK)

2004-2008 学士 北京大学

工作经历

2020至今 清华大学丘成桐数学科学中心 教授

2018-2020 清华大学丘成桐数学科学中心 副教授

2016-2020 香港中文大学 研究助理教授

2013-2016 挪威科技大学 博士后

2012-2012 加拿大主教大学 博士后

荣誉与奖励

2016 国际代数表示论会议(ICRA)奖

发表论文

1. On the focus order of planar polynomial differential equations, with J. Yang,

J. Diff. Equations, 246 (2009), pp 3361-3379.

2. Ext-quivers of hearts of A-type and the orientation of associahedron,

J. Algebra, 393 (2013), pp 60-70. (arXiv:1202.6325)

3. Exchange graphs and Ext quivers, with A. King,

Adv. Math. 285 (2015), pp 1106–1154. (arXiv:1109.2924).

4. Stability conditions and quantum dilogarithm identities for Dynkin quivers,

Adv. Math. 269 (2015), pp 220-264. (arXiv:1111.1010)

5. Tagged mapping class group: Auslander-Reiten translations, with T. Brustle,

Math. Zeit. 279 (2015), pp 1103-1120. (arXiv:1212.0007)

6. C-sortable words as green mutation sequences,

Proc. Lond. Math. Soc. 111 (2015), pp 1052-1070. ( arXiv:1205.0034)

7. Decorated marked surfaces: Spherical twists versus braid twists,

Math. Ann. 365 (2016), pp 595-633.(arXiv:1407.0806).

8. Cluster categories for marked surfaces: punctured case, with Y. Zhou,

Compos. Math. 153 (2017), pp 1779-1819. (arXiv:1311.0010)

9. Decorated marked surfaces (Part B): Topological realizations,

Math. Z. 288 (2018) pp 39–53.

10. Contractible stability spaces and faithful braid group actions, with J. Woolf,

Geom. & Topol. 22 (2018) 3701–3760. (arXiv:1407.5986)

11. DMS~II: Intersection numbers and dimensions of Homs, with Y.Zhou,

Trans. Amer. Math. Soc., 372(2019) 635–660. (arXiv:1411.40033)

12. The braid group for a quiver with superpotential,

Sci. China. Math. 62 (2019) 1241-1256. (arXiv:1712.09585)

13. DMS~III: The derived category of a decorated marked surface, with A. Buan and Y. Zhou,

Int. Math. Res. Notice. //doi.org/10.1093/imrn/rnz180. (arXiv:1804.00094)

14. Cluster exchange groupoids and framed quadratic differentials, with A. King,

Invent. Math. 220 (2020) 479–523. (arXiv:1805.00030)

15. Topological structure of spaces of stability conditions and top. Fukaya type categories

Proceeding of First Annual Meeting of ICCM. .(arXiv:1806.00010)

16. Decorated Marked Surfaces: Calabi-Yau categories and related topics

Proceeding of the 51st Symposium on Ring Theory and Rep. Theory, Okayama, Japan (arXiv:1812.00008)

17. Finite presentations for spherical/braid twist groups from decorated marked surfaces, with Y. Zhou,

J. Topology. 13 (2020) 501-538. (arXiv:1703.10053)

18. Stability conditions and A2 quivers, with T. Bridgeland and T. Sutherland,

Adv. Math. 365 (2020) 107049. (arXiv:1406.2566)

Preprint

19. Frobenius morphisms and stability conditions, with W. Chang,

arXiv:1210.0243

20. Global dimension function, Gepner equations and q-stability conditions.

arXiv:1807.00010

21. q-Stability conditions on Calabi-Yau-X categories and twisted periods. with A. Ikeda,

arXiv:1807.00469

22. q-Stability conditions via q-quadratic differentials for Calabi-Yau-X categories. with A. Ikeda,

arXiv:1812.00010

23. Contractibility of space of stability conditions on the projective plane via global dimension function. with Yu-Wei Fan, Chunyi Li, and Wanmin Liu,

arXiv:2001.11984

24. Graded decorated marked surfaces: Calabi-Yau-X categories of gentle algebras, with Akishi Ikeda and Yu Zhou,

arXiv:2006.00009

25. Contractible flow of stability conditions via global dimension function.

arXiv:2008.00282



科研团队

姓名 职称 研究方向
邱宇 教授 代数表示论/几何拓扑
扶磊 教授 代数几何
Caucher Birkar 教授 双有理几何
单芃 教授 几何表示论
朱艺航 教授 代数数论、朗兰兹纲领
盛茂 教授 代数几何
刁晗生 副教授 p 进几何以及其在 p 进霍奇理论中的应用;p 进模形式
徐斌 副教授 自守形式,p-adic 群表示论
Will Donovan 副教授 代数几何
Emmanuel Lecouturier 副教授 数论
曹晋 助理教授 代数几何
何翔 助理教授 代数几何
胡悦科 助理教授 理论数学
李鹏辉 助理教授 顶点算子代数、数学物理
李永雄 助理教授 数论
张鼎新 助理教授 D-模,刚性上同调,指数和,形式群
郑志伟 助理教授 代数几何
范祐维 助理教授 代数几何
苏长剑 助理教授 表示论
周宇 助理教授 代数表示论