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.

Education

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.

Work Experience

12.2018-     Assitant Professor at YMSC, Tsinghua University

11.2014-11.2017 Postdoctral fellow at NTNU

11.2013-11.2014 Research Assistant at Bielefeld University

02.2013-08.2013 Guest Researcher at Norwegian University of Science and

Publications

Journal publications

15. Decorated marked surfaces III: The derived category of a decorated marked surface, with Aslak Bakke Buan and Yu Qiu. Int. Math. Res. Not. (IMRN), 2021 (2021), 12967-12992.  (arXiv)

14. Finite presentations for spherical/braid twist groups from decorated marked surfaces, with Yu Qiu. J. Topol. 13 (2020), 501-538. (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_∞^∞, 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)