Yu Zhou (周宇)

Assistant Professor

Yau Mathematical Sciences Center (YMSC)

Tsinghua University, Beijing, China

yzhou@math.tsinghua.edu.cn

yuzhoumath@gmail.com

Room 305, Jinchunyuan West, Tsinghua University, Haidian District, 100084, Beijing, China

Main area of research

  • Representation theory of algebras.
  • Homological algebra, including abelian categories and triangulated categories.
  • Cluster theory, including cluster algebras and cluster categories.
  • Relationship between algebra and low-dimensional topology.

Teaching

  • Lectured courses: An introduction to Cohen-Macaulay representations; Linear algebras (Sciences).

Work experience

  • 2018- Assitant Professor at YMSC, Tsinghua University
  • 2014-2017 Postdoctral fellow at NTNU
  • 2013-2014 Research Assistant at Bielefeld University
  • 2013-2013 Guest Researcher at Norwegian University of Science and Technology (NTNU)
  • 2009-2013 PhD fellow at Department of Mathematical Sciences, Tsinghua University

Journal publications

12. Decorated marked surfaces II: Intersection numbers and dimensions of Homs, with Yu Qiu. To appear in Trans. Amer. Math. Soc., DOI: https://doi.org/10.1090/tran/7598. (pdf)

11. Mutation of torsion pairs in triangulated categories and its geometric realization, with Bin Zhu. Algebr. Represent. Theory 21 (2018), no. 4, 817-832. (pdf)

10. Cotorsion pairs in cluster categories of type A double infinity, with Huimin Chang and Bin Zhu. J. Combin. Theory Ser. A 156 (2018), 119-141. (pdf)

9. Endomorphism algebras of 2-term silting complexes, with Aslak Bakke Buan. Algebr. Represent. Theory 21 (2018), no. 1, 181-194. (pdf)

8. Cluster categories for marked surfaces: punctured case, with Yu Qiu. Compos. Math. 153 (2017), no. 9, 1779-1819. (pdf)

7. Silted algbras, with Aslak Bakke Buan. Adv. Math. 303 (2016), 859-887. (pdf)

6. A silting theorem, with Aslak Bakke Buan. J. Pure Appl. Algebra 220 (2016), no. 7, 2748-2770. (pdf)

5. Cluster algebras arising from cluster tubes. J. Lond. Math. Soc. (2) 89 (2014), no. 3, 703-723. (pdf)

4. T-structures and torsion pairs in 2-Calabi-Yau triangulated category, with Bin Zhu. J. Lond. Math. Soc. (2) 89 (2014), no. 1, 213-234. (pdf)

3. Cotorsion pairs in the cluster category of a marked surface, with Jie Zhang and Bin Zhu. J. Algebra 391 (2013), 209-226. (pdf)

2. Maximal rigid subcategories in 2-Calabi-Yau triangulated categories, with Bin Zhu. J. Algebra 348 (2011), 49-60. (pdf)

1. Cluster combinatorics of d-cluster categories, with Bin Zhu. J. Algebra 321 (2009), no. 10, 2898-2915. (pdf)

Preprints

  • Derived equivalences via HRS-tilting, with Xiao-Wu Chen and Zhe Han, arXiv:1804.05629.
  • Decorated marked surfaces III: The derived category of a decorated marked surface, with Aslak Bakke Buan and Yu Qiu, arXiv:1804.00094.
  • Finite presentations for spherical/braid twist groups from decorated marked surfaces, with Yu Qiu, arXiv:1703.10053.