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研究生导师
邱宇

教授

单位:清华大学丘成桐数学科学中心

办公地点:双清综合楼C650

电子邮箱:[email protected]

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. ()

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

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

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

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

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

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

6. C-sortable words as green mutation sequences,

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

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

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

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

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

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. ()

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

Trans. Amer. Math. Soc., 372(2019) 635–660. (3)

12. The braid group for a quiver with superpotential,

Sci. China. Math. 62 (2019) 1241-1256. ()

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

Int. Math. Res. Notice. . ()

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

Invent. Math. 220 (2020) 479–523. )

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

Proceeding of First Annual Meeting of ICCM. .()

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

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

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

J. Topology. 13 (2020) 501-538. ()

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,

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

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

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

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

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

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

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