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)
