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
- t-stabilities for a weighted projective line.To appear at Math. Zeitschrift. With Xintian Wang.
- The dual actions, equivariant autoequivalences and stable tilting objects. To appear at Annales de l'Institut Fourier. With Jianmin Chen and Xiaowu Chen.
- 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.
- Tilting objects on tubular weighted projective lines: A cluster tilting approach. To appear in Sci China Math. With Jianmin Chen, Yanan Lin and Pin Liu.
- 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.
- Exceptional sequences and Drinfeld double Hall algebras. J. Pure Appl. Algebra 224 (2020), no.1, 250--271. With Haicheng Zhang.
- On derived Hall numbers for tame quivers. J. Algebra 507 (2018), 1–18. With Haicheng Zhang.
- Hall polynomials for tame type. J. Algebra 475 (2017), 171-–206. With Bangming Deng.
- 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.
- 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.
- 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
- Recollements and Ladders for weighted projective lines. arXiv:1907.07194.
- Admissible homomorphisms and equivariant relations between weighted projective lines. arXiv:2003.00462.With J. Chen, Y. Lin and H. Zhang.
- Lie algebras arising from 1-cyclic perfect complexes. arXiv:1705.07307. With J. Sheng and H. Zhang.
- The relationship between Fuchsian singularities, triangle singularities and Nakayama algebras. Preprint. With H. Lenzing and H. Meltzer.
- On vector bundles of rank two on a weighted projective line. Preprint. With H. Lenzing.
PARTICIPATING INTERNATIONAL CONFERENCES
l The 17th Workshop and International Conference on Representations of Algebras, Syracuse University, America, August 2016. (Plenary talk)
l The 16th Workshop and International Conference on Representations of Algebras, Sanya, China, August 2014. (Section talk)
l The fifth East Asian Conference on Algebraic Geometry,Chinese Academy of Sciences, Beijing, China, October 2013.
l The 15thWorkshop and International Conference on Representations of Algebras, Bielefeld University, German, August 2012.