Email:fanxu@tsinghua.edu.cn 

 

教育背景

博士(清华大学,2007年)、副教授(博导)

工作履历

2012.12–现在,清华大学数学系,副教授

2009.12–2012.12,清华大学数学系,助理教授

2009.02–2010.01,德国Bielefeld大学,洪堡博士后

 

研究领域

代数表示论

学术成果

与合作者在三角范畴上Hall代数与(量子)丛理论等领域取得一系列结果。代表性论文如下:

[1] Xiao, Jie; Xu, Fan: Hall algebras associated to triangulated categories. Duke Math. J. 143 (2008), no. 2,357–373.

[2] Xu, Fan: On the cluster multiplication theorem for acyclic cluster algebras. Trans. Amer. Math. Soc. 362(2010), no. 2, 753–776.

[3] Ding, Ming; Xiao, Jie; Xu, Fan: Integral bases of cluster algebras and representations of tame quivers. Algebr. Represent. Theory 16 (2013), no. 2, 491–525.

[4] Xiao, Jie; Xu, Fan: Remarks on Hall algebras of triangulated categories. Kyoto J. Math. 55 (2015), no. 2,477–499.

[5] Xiao, Jie; Xu, Fan: Green's formula with C?-action and Caldero-Keller's formula for cluster algebras. Representation theory of algebraic groups and quantum groups, 313–348, Progr. Math., 284, Birkhuser/Springer, New York, 2010.

[6] Ding, Ming; Xu, Fan: Bases of the quantum cluster algebra of the Kronecker quiver. Acta Math. Sin. (Engl. Ser.) 28 (2012), no. 6, 1169–1178.