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Qiu Yu 邱宇

个人信息

职位: 教授 @ 清华大学 丘成桐数学科学中心
电子邮件： yu.qiu@bath.edu

地址: 中国 北京 清华大学 双清综合楼C650

研究兴趣:

代数表示论与几何拓扑。例如三角范畴（Calabi-Yau范畴、Fukaya范畴）上的稳定条件，辫子群/映射类群，模空间，丛（cluster）理论…等等。动机来自于（同调）镜像理论等。

文章

预印本

41 Contractibility and total semi-stability conditions of Euclidean quivers, with Xiaoting Zhang,
arxiv:2501.16903

40 From mutation to X-evolution: flows and foliations on cluster complexes, with Liheng Tang,
arxiv:2501.15756

39 Verdier quotients of Calabi-Yau categories from quivers with potential, with Anna Barbieri,
arxiv:2411.00207

38 Perverse schobers, stability conditions and quadratic differentials II: relative graded Brauer graph algebras, with Merlin Christ and Fabian Haiden,
arxiv:2407.00154

37 Dg enhanced orbit categories and applications, with Li Fan and Bernhard Keller,
arxiv:2405.00093

36 A geometric realization of Koszul duality for graded gentle algebras, with Zixu Li and Yu Zhou,
aXiv:2403.15190

35 Moduli spaces of quadratic differentials: Abel-Jacobi map and deformation,
aXiv:2403.10265

34 Quadratic Differentials as Stability Conditions of Graded Skew-gentle Algebras, with Suiqi Lu and Dongjian Wu,
aXiv:2310.20709

33 Perverse schobers, stability conditions and quadratic differentials I, with Merlin Christ and Fabian Haiden,
arxiv:2303.18249

32 Two geometric models for graded skew-gentle algebras, with Chao Zhang and Yu Zhou,
arxiv:2212.10369

31 Graded decorated marked surfaces: Calabi-Yau-X categories of gentle algebras, with Akishi Ikeda and Yu Zhou,
arXiv:2006.00009

论文

  1. On the focus order of planar polynomial differential equations, with Jiazhong Yang,
    J. Diff. Equations, 246 (2009), 3361-3379.
  2. Ext-quivers of hearts of A-type and the orientation of associahedron,
    J. Algebra, 393 (2013), 60-70. (arXiv:1202.6325)
  3. Exchange graphs and Ext quivers, with Alastair King,
    Adv. Math. 285 (2015), 1106–1154. (arXiv:1109.2924)
  4. Stability conditions and quantum dilogarithm identities for Dynkin quivers,
    Adv. Math. 269 (2015), 220-264. (arXiv:1111.1010)
  5. Tagged mapping class group: Auslander-Reiten translations, with Thomas Brüstle,
    Math. Zeit. 279 (2015), 1103-1120. (arXiv:1212.0007)
  6. C-sortable words as green mutation sequences,
    Proc. Lond. Math. Soc. 111 (2015), 1052-1070. (arXiv:1205.0034)
  7. Decorated marked surfaces: Spherical twists versus braid twists,
    Math. Ann. 365 (2016), 595-633. (arXiv:1407.0806).
  8. Cluster categories for marked surfaces: punctured case, with Yu Zhou,
    Compos. Math. 153 (2017), 1779-1819. (arXiv:1311.0010)
  9. Decorated marked surfaces (Part B): Topological realizations,
    Math. Zeit. 288 (2018) 39–53.
  10. Contractible stability spaces and faithful braid group actions, with Jon Woolf,
    Geom. & Topol. 22 (2018) 3701–3760. (arXiv:1407.5986)
  11. DMS~II: Intersection numbers and dimensions of Homs, with Yu Zhou,
    Trans. Amer. Math. Soc. 372(2019) 635–660. (arXiv:1411.4003)
  12. The braid group for a quiver with superpotential,
    Sci. China. Math. 62 (2019) 1241–1256. (arXiv:1712.09585)
  13. Stability conditions and A2 quivers, with Tom Bridgeland and Tom Sutherland,
    Adv. Math. 365 (2020), 107049. (arXiv:1406.2566)
  14. Finite presentations for spherical/braid twist groups, with Yu Zhou,
    J. Topology . 13 (2020) 501-538. (arXiv:1703.10053)
  15. Cluster exchange groupoids and framed quadratic differentials, with Alastair King,
    Invent. Math. 220 (2020) 479–523. (arXiv:1805.00030)
  16. DMS~III: The derived category of a decorated marked surface, with Aslak Buan and Yu Zhou,
    Int. Math. Res. Notices 17 (2021) 12967-12992. (arXiv:1804.00094)
  17. Global dimension function on stability conditions and Gepner equations,
    Math. Zeit. 303 (2023) No.11. (arXiv:1807.00010)
  18. q-Stability conditions on Calabi-Yau-X categories, with Akishi IKeda,
    Compos. Math. 159 (2023), 1347–1386. (arXiv:1807.00469)
  19. Contractibility of space of stability conditions on the projective plane via global dimension function with Yu-Wei Fan, Chunyi Li, and Wanmin Liu,
    Math. Res. Letter 30 (2023), 51–87. (arXiv:2001.11984)
  20. Frobenius morphisms and stability conditions, with Wen Chang,
    Publ. Res. Inst. Math. Sci. 60 (2024), 271–303. arXiv:1210.0243
  21. Cluster braid groups of Coxeter-Dynkin diagrams, with Zhe Han and Ping He,
    J. Comb. Theory (A), 208 (2024), 105935.
  22. Geometric model for module categories of Dynkin quivers via hearts of total stability conditions, with Wen Chang and Xiaoting Zhang,
    J. Algebra 638 (2024), 57-89. (arxiv:2208.00073)
  23. Quadratic differentials as stability conditions: collapsing subsurfaces, with Anna Barbieri, Martin Möller and Jeonghoon So,
    J. reine angew. Math. (Crelle’s Journal) 810 (2024), 49-95. (arxiv:2212.08433)
  24. Contractible flow of stability conditions via global dimension function.
    J. Diff. Geom. 129 (2025), 491-521. (arXiv:2008.00282)
  25. q-Stability conditions via q-quadratic differentials, with Akishi Ikeda,
    Memoirs of Amer. Math. Soc. 308 (2025), No. 1557. arXiv:1812.00010 (arXiv:2310.02871)
  26. Topological model for q-deformed rational number and categorification, with Li Fan,
    Rev. Mat. Iberoam., to appear. (arxiv:2306.00063)
  27. Geometric classification of totally stable stability spaces, with Xiaoting Zhang,
    Math. Zeit. 309 (2025) No.58. (arxiv:2202.00092)
  28. Fusion-stable structures on triangulation categories, with Xiaoting Zhang,
    Selecta Math. to appear. (aXiv:2310.02917)

会议论文

  1. Topological structure of spaces of stability conditions and top. Fukaya type categories,
    Proceedings of the International Consortium of Chinese Mathematicians (2017) 521–538, Int. Press, Boston, MA, 2020. (arXiv:1806.00010)
  2. Decorated Marked Surfaces: Calabi-Yau categories and related topics,
    Proceeding of the 51st Symposium on Ring Theory and Rep. Theory, 129–134, Symp. Ring Theory Represent. Theory Organ. Comm., Shizuoka, 2019. (arXiv:1812.00008)

编辑

Journal of the Korean Mathematical Society

常用链接

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