2015. 08-present: Professor, Department of Applied Mathematics, University of Science and Technology Beijing (USTB), China; 

2010. 08-2015. 07: Associate professor, Department of Applied Mathematics, University of Science and Technology Beijing (USTB), China; 

2005. 08-2010. 07: Lecturer, Department of Applied Mathematics, University of Science and Technology Beijing (USTB), China; 

2002. 9-2005. 06: PhD, School of Mathematics Science, Peking University, China.

A series of results have been obtained in the study of harmonic analysis problems related to Schrodinger operator. In addition, a series of important results have been obtained in the capacity theory of metric space.

1. Liu, Yu; BV Capacity on Generalized Grushin  Plane. J. Geom. Anal. 27(2017), no.1,409–441. (SCI)

2. Huang, Jizheng; Li, Pengtao; Liu, Yu Capacity & perimeter from α-Hermite bounded variation. Calc. Var. Partial Differential Equations 59 (2020), no. 6, Paper No. 186, 37 pp.