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

• 12.2018-               Assistant 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 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

20. Weak cotorsion, τ-tilting and two-term categories, with Aslak Bakke Buan. J. Pure Appl. Algebra 228 (2024) 107445. (arXiv)

19. Silting reduction in extriangulated categories, with Yu Liu, Panyue Zhou and Bin Zhu, Algebr. Represent. Theory 27 (2024), 847-876. (arXiv)

18. The extensions of t-structures, with Xiao-Wu Chen and Zengqiang Lin. Ark. Mat. 61 (2023), 323-342. (arXiv)

17. A geometric model for the module category of a skew-gentle algebra, with Ping He and Bin Zhu. Math. Z. 304 (2023) Article: 18. (arXiv)

16. On support τ-tilting graphs of gentle algebras, with Changjian Fu, Shengfei Geng and Pin Liu, J. Algebra 348 (2023), 189-211. (arXiv)

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), 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)

Preprint

1. Graded decorated marked surfaces: Calabi-Yau-X categories of gentle algebras, with Akishi Ikeda and Yu Qiu, 47 pages. arXiv:2006.00009.

2. Two geometric models for graded skew-gentle algebras, with Yu Qiu and Chao Zhang, 114 pages. arXiv:2212.10369.

3. Mutation graph of support τ-tilting modules over a skew-gentle algebra, with Ping He and Bin Zhu, 45 pages. arXiv:2212.10880.

4. A negative answer to Complement Question for presilting complexes, with Yu-Zhe Liu, 18 pages, arXiv:2302.12502.

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 algebra (Mathematics) (1)

Spring Semester 2020: Advanced linear algebra (Mathematics) (2)

Fall Semester 2020: Abstract algebra

Fall Semester 2021: Abstract algebra

Spring Semester 2022: An introduction to cluster categories

Fall Semester 2022: Abstract algebra (2)

Spring Semester 2023: An introduction to cluster categories

Fall Semester 2023: Algebra-1

Organizing Conferences

• 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

• Bin Zhu (朱彬), Tsinghua University, http://faculty.math.tsinghua.edu.cn/~bzhu/ 

• Aslak Bakke Buan, Norwegian University of Science and Technology (NTNU), https://www..edu/employees/aslak.buan 

• Yu Qiu (邱宇), Tsinghua University, https://ubw-q.github.io/ 

• Xiao-Wu Chen (陈小伍), University of Science and Technology of China (USTC) , http://home.ustc.edu.cn/~xwchen/ 

• Zhe Han (韩喆), Henan University, http://maths.henu.edu.cn/info/1204/5615.htm

• Huimin Chang (常会敏), The Open University of China

• Changjian Fu (付昌建), Sichuan University, https://changjianfu.github.io/

• Shengfei Geng (耿圣飞), Sichuan University

• Pin Liu (刘品), Southwest Jiaotong University, https://faculty.swjtu.edu.cn/LiuPin/zh_CN/index/87705/list/index.htm