09/2004–07/2007, Ph.D., Tsinghua，University, Beijing.

12/2012–present, Associate Professor, Tsinghua University

12/2009–12/2012, Assistant Professor, Tsinghua University

02/2009–01/2010, Humboldt Research fellow, Bielefeld University

07/2007–01/2009, Post Doctoral Researcher, Tsinghua University

1.Representation theory of algebras;

2.Hall algebras and triangulated categories;

3.Cluster algebras.

1.Linear algebra for engineering;

2.Advanced linear algebra;

3. Homological algebra.

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

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

3. Ming Ding， Fan Xu and Haicheng Zhang, Acyclic quantum cluster algebras via Hall algebras of morphisms. Math. Z. 296 (2020), no. 3-4, 945–968.