从事应用调和分析及统计估计方面的研究工作, 主持完成国家自然科学基金4项，现主持一项国家自然科学基金（2022--2025）.研究论文发表在国内外重要学术期刊《Mathematicsof Computation》，《Applied and Computational Harmonic Analysis》，《IEEE Trans. Information Theory》、《中国科学》《数学学报》等。近几年发表的代表性论文有

1.Liu, Youming;Qi,Xinyu, Optimal estimation for lower bound ofpackingnumber, Stat. and Probability Letters, 186(2022), 109487.

2.Liu, Youming;Ren, Chunguang, Estimation of canonical correlation directions: from Gaussian to sub-Gaussian population.J. Multivariate Anal.186(2021),Paper No. 104795, 17 pp.

3.Youming Liuand Xiaochen Zeng, Asymptotic normalityfor wavelet deconvolution density estimators,Appliedand Computational Harmonic Analysis,48 (1), 321-342, 2020.

4.Youming Liu,Cong Wu, Point-wise wavelet estimation in theconvolution structure density model.J. Fourier Anal. Appl.26,no. 6,Paper No. 81, 28 pp.2020.

5.Youming Liu, Cong Wu, Point-wise estimation for anisotropic densities, J. Multivariate Analysis. 171, 112-125. 2019.