厦门大学数学学院师资队伍
School of Mathematical Sciences Xiamen University
师资队伍

 

Shiquan Ruan
ADDRESS
School of Mathematical Sciences
Xiamen University
Xiamen, Fujian 361005
China
 
EDUCATION
Post Doctor in Mathematics (July 2018 to July 2019 )
- Bielefeld University (supported by the Alexander von Humboldt Foundation)
Post Doctor in Mathematics (September 2014 to September 2017 ) 
- Yau Mathematical Sciences Center, Tsinghua University;
Bachelor/Master/Doctor of Science (September 2003 to June 2014)
 - School of Mathematical Sciences, Xiamen University.
 
EMPLOYMENT
2017- now  Assistant Professor, Xiamen University
 
TEACHING EXPERIENCE
• 2017-2018,   Calculus and Linear Algebra; Xiamen University
• 2019-present,  Calculus; Xiamen University
 
GRANTS
• 2018/1-2021/12, China NSF grant(No.11801473)
• 2018/1-2021/12, Fundamental Research Funds for the Central University, China(No.20720180006)
• 2015/11-2017/9, China Postdoc grant(No.2015M581060)
 
RESEARCH INTERESTS
-          Quiver representation theory;
-          Weighted projective line;
-          Tilting theory;
-          derived category;
-          Hall algebra.
 
PUBLICATIONS 
  1. t-stabilities for a weighted projective line.To appear at Math. Zeitschrift. With Xintian Wang.
  2. The dual actions, equivariant autoequivalences and stable tilting objects. To appear at Annales de l'Institut FourierWith Jianmin Chen and Xiaowu Chen.
  3. Applications of mutations in the derived categories of weighted projective lines to Lie and quantum algebras. To appear in International Mathematics Research Notices. With Bangming Deng and Jie Xiao.
  4. Tilting objects on tubular weighted projective lines: A cluster tilting approach. To appear in Sci China MathWith Jianmin Chen, Yanan Lin and Pin Liu.
  5. On tubular tilting objects in the stable category of vector bundles. Acta Mathematica Sinica, English Series, 35(4) (2019), 494--512. With Jianmin Chen and Yanan Lin.
  6. Exceptional sequences and Drinfeld double Hall algebras. J. Pure Appl. Algebra 224 (2020), no.1, 250--271. With Haicheng Zhang.
  7. On derived Hall numbers for tame quivers. J. Algebra 507 (2018), 1–18. With Haicheng Zhang.
  8. Hall polynomials for tame type.  J. Algebra 475 (2017), 171-–206. With Bangming Deng.
  9. Tilting bundles and the missing part on a weighted projective line of type (2,2,n).  J. Pure Appl. Algebra 219 (2015), no. 7, 2538–2558. With Jianmin Chen and Yanan Lin.
  10. Abelianness of the missing part from a sheaf category to a module category.  Sci. China Math. 57 (2014), no. 2, 245–258. With Jianmin Chen and Yanan Lin.
  11. Tilting objects in the stable category of vector bundles on the weighted projective line of type (2,2,2,2).  J. Algebra 397 (2014), 570–588.  With Jianmin Chen and Yanan Lin.
 
PREPRINTS                                                             
 
  1.  Recollements and Ladders for weighted projective lines. arXiv:1907.07194. 
  2. Admissible homomorphisms and equivariant relations between weighted projective lines. arXiv:2003.00462.With J. Chen, Y. Lin and H. Zhang.
  3. Lie algebras arising from 1-cyclic perfect complexes. arXiv:1705.07307. With J. Sheng and H. Zhang.
  4.  The relationship between Fuchsian singularities, triangle singularities and Nakayama algebras. Preprint. With H. Lenzing and H. Meltzer.
  5. On vector bundles of rank two on a weighted projective line. Preprint. With H. Lenzing.
 
PARTICIPATING INTERNATIONAL CONFERENCES                      
The 17th Workshop and International Conference on Representations of Algebras, Syracuse University, America, August 2016.  (Plenary talk)
The 16th Workshop and International Conference on Representations of Algebras, Sanya, China, August 2014. (Section talk)
The fifth East Asian Conference on Algebraic Geometry,Chinese Academy of Sciences, Beijing, China, October 2013.
The 15thWorkshop and International Conference on Representations of Algebras, Bielefeld University, German, August 2012.
 

 
 
 
 
 
 
 
简介
 
系别:
数学与应用数学系
办公室:660
教师:阮诗佺
职称:助理教授
职务:教师
Phone:0592-2580771
Email:
sqruan@xmu.edu.cn
研究方向:
代数表示论