Yu Zhou (周宇)

Assistant Professor

Yau Mathematical Sciences Center (YMSC)

Tsinghua University, Beijing, China

yuzhou2018@tsinghua.edu.cn

yuzhoumath@gmail.com

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

Research interests

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

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)

Education experience

  • 2009-2013 Doctor of Philosophy (Mathematics), Tsinghua University, Beijing, China, 10.01.2013.

Thesis title: Torsion theories and their cluster structures in Calabi-Yau categories.

Advisor: Prof. Dr. Jie Xiao and Prof. Dr. Bin Zhu.

  • 2006-2009 Graduate student for a master degree in mathematics, Tsinghua University, Beijing, China.

Advisor: Prof. Dr. Bin Zhu.

  • 2002-2006 Undergraduate degree in hydraulic engineering, Tsinghua University, Beijing, China.

Journal publications

14. Decorated marked surfaces III: The derived category of a decorated marked surface, with Aslak Bakke Buan and Yu Qiu. Int. Math. Res. Not. (IMRN), https://doi.org/10.1093/imrn/rnz180. (arXiv).

13. Derived equivalences via HRS-tilting, with Xiao-Wu Chen and Zhe Han. Adv. Math. 354 (2019), https://doi.org/10.1016/j.aim.2019.106749. (arXiv).

12. Decorated marked surfaces II: Intersection numbers and dimensions of Homs, with Yu Qiu. Trans. Amer. Math. Soc. 372 (2019), 635-660. (arXiv)

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

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. (arXiv)

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

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

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

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

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

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. (arXiv)

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

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

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

Preprints

  • Finite presentations for spherical/braid twist groups from decorated marked surfaces, with Yu Qiu, arXiv:1703.10053.

Teaching experience

  • Lectured courses:

Spring Semester 2018: An introduction to Cohen-Macaulay representations

Fall Semester 2018: Linear algebras (Sciences)

Spring Semester 2019: An introduction to cluster categories

Fall Semester 2019: Advanced linear algebras (Mathematics) (1)

Organizing Conferences

  • I am one of the organizers of Workshop on Algebraic Representation Theory and Related Topics (ARTRT). These workshops will be held biennially at Tsinghua Sanya International Mathematics Forum (TSIMF). Each one will focus on a specific theme related to algebraic representation theory. For more information about this years conference, please check here: http://www.tsimf.cn/meeting/cnshow?id=173.

Co-authors