2007.07-2009.12 清华大学数学系 博士后

2008.07-2008.08 日本东京大学 IPMU 所 访问学者

2008.09-2008.11 德国 Max-Planck 数学所 访问学者

2009.02-2010.01 德国 bielefeld 大学 洪堡学者

2010.01-2012.12 清华大学数学科学系 讲师

2012.12- 至今 清华大学数学科学系 副教授

学术成果：

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

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

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. (SCI)

4. Xu, Fan ; Chen, Xueqing : Hall algebras of odd periodic triangulated categories. Algebr. Represent. Theory 16 (2013), no. 3, 673–687. (SCI)

5. Xu, Fan ; Chen, Xueqing : Some remarks on triangulated categories and Kac-Moody algebras. J. Algebra 388 (2013), 22–42. (SCI)

6. Chen, Xueqing ; Ding, Ming ; Xu, Fan : On homomorphisms from Ringel-Hall algebras to quantum cluster algebras. Algebr. Represent. Theory 19 (2016), no. 1, 171–180.  (SCI)

7. Chen, Xueqing ; Ding, Ming ; Xu, Fan :  Positivity for generalized cluster variables of affine quivers. Algebr. Represent. Theory (to appear).  (SCI)

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

9. 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, Birkhäuser/Springer, New York, 2010.

10. 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. (SCI)

11. Ding, Ming ; Xiao, Jie ; Xu, Fan : Realizing enveloping algebras via varieties of modules. Acta Math. Sin. (Engl. Ser.) 26 (2010), no. 1, 29–48. (SCI)

12. Sheng, Jie ; Xu, Fan : Derived Hall algebras and lattice algebras. Algebra Colloq. 19 (2012), no. 3, 533–538. (SCI)

13. Xiao, Jie ; Xu, Fan : A multiplication formula for module subcategories of Ext-symmetry. Proc. Amer. Math. Soc. 137 (2009), no. 8, 2517–2528. (SCI)

14. Xiao, Jie ; Xu, Fan : Green's formula in Hall algebras and cluster algebras. Fourth International Congress of Chinese Mathematicians, 271–304, AMS/IP Stud. Adv. Math., 48, Amer. Math. Soc., Providence, RI, 2010.

15. Ding, Ming ; Xu, Fan : A Z-basis for the cluster algebra of type D~4. Algebra Colloq. 19 (2012), no. 4, 591–610. (SCI)

16. Ding, Ming ; Xu, Fan : A quantum analogue of generic bases for affine cluster algebras. Sci. China Math. 55 (2012), no. 10, 2045–2066. (SCI)

17. Ding, Ming ; Xu, Fan : Cluster characters for cyclic quivers. Front. Math. China 7 (2012), no. 4, 679–693. (SCI)

18. Bai , Liqian; Xu, Fan :  Realizing enveloping algebras via moduli stacks. Pure and applied mathematics quarterly (to appear). (SCI)

19. Xu, Fan ; Chen, Xueqing : A geometrization of the Happel functor. C. R. Math. Acad. Sci. Soc. R. Can. 32 (2010), no. 2, 52–63.

20. Xu, Fan A note on the fundamental group of a triangular algebra. Algebra Colloq . 15 (2008), no. 3, 371–378. (SCI)