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Qiu Yu 邱宇


Personal informaiton

Position: Professor @
Yau Mathematical Sciences Center, Tsinghua University
Email: yu.qiu@bath.edu
Address: Jingzhai 320
Tsinghua University
Beijing 100084, China

Research interest:

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.

Publications

Preprints

25 Contractible flow of stability conditions via global dimension function.
arXiv:2008.00282

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

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

22 q-Stability conditions via q-quadratic differentials, with Akishi Ikeda,
arXiv:1812.00010

21 q-Stability conditions on Calabi-Yau-X categories and twisted periods, with Akishi IKeda,
arXiv:1807.00469

20 Global dimension function, Gepner equations and $q$-stability conditions,
arXiv:1807.00010

19 Frobenius morphisms and stability conditions, with W. Chang,
arXiv:1210.0243

Papers

  1. On the focus order of planar polynomial differential equations, with J. 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 A. 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 maing class group: Auslander-Reiten translations, with T. Brustle,
    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 Y. 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 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:1411.4003)
  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. Notices online first. (arXiv:1804.00094)
  14. Cluster exchange groupoids and framed quadratic differentials, with Alastair King,
    Invent. Math. 220 (2020) 479–523. (arXiv:1805.00030)
  15. Finite presentations for spherical/braid twist groups, with Yu Zhou,
    J. Topology . 13 (2020) 501-538. (arXiv:1703.10053)
  16. Stability conditions and A2 quivers, with Tom Bridgeland and Tom Sutherland,
    Adv. Math. 365 (2020), 107049. (arXiv:1406.2566)

Proceedings

17 Topological structure of spaces of stability conditions and top. Fukaya type categories,
Proceeding of First Annual Meeting of ICCM. (arXiv:1806.00010)

18 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)

(Last modified: July, 2020)