Research Interests

Harmonic Analysis, Geometric Measure theory, Combinatorics

Education

Ph.D in Mathematics, University of Rochester, USA, 2017

B.S. in Mathematics (Shing-Tung Yau Honor Program), Zhejiang University, 2012

Professional Experience

2021.01 - present     Associate Professor, Department of Mathematics, Southern University of Science and Technology

2020.11 - 2020.12    Assistant Professor, Department of Mathematics, Southern University of Science and Technology

2020.08 - 2020.11    Visiting Scholar, Department of Mathematics, Southern University of Science and Technology

2019.08 - 2020.07    Postdoc, Mathematics Division, National Center for Theoretical Sciences, Taiwan

2018.08 - 2019.08    Postdoc, Department of Mathematics, Chinese University of Hong Kong

2017.10 - 2018.08    Postdoc, Department of Mathematics, Bar-Ilan University, Israel

2017.07 - 2017.09    Visiting Scholar, Department of Mathematics, Hong Kong University of Science and Technology 

2016.10 - 2017.05    Junior Research Assistant, Department of Mathematics, Chinese University of Hong Kong

Selected Publications

Gao, C., Liu, B., Miao, C., Xi, Y. (2023). Square function estimates and local smoothing for Fourier integral operators. Proceedings of the London Mathematical Society, 126(2023), 1923–1960.

Gao, C., Liu, B., Miao, C., Xi, Y. (2023). Improved local smoothing estimate for the wave equation in higher dimensions. Journal of Functional Analysis, 284(9), 109879.

Iosevich, A., Liu, B., Xi, Y. (2022). Microlocal decoupling inequalities and the distance problem on Riemannian manifolds. American Journal of Mathematics, 144(6), 1601-1639.

Iosevich, A., Lai, C.K., Liu, B., Wyman, E. (2022). Fourier frames for surface-carried measures. International Mathematics Research Notices, 2022(3), 1644-1665.

Liu, B. (2021). Periodic structure of translational multi-tilings in the plane. American Journal of Mathematics, 143(6), 1841-1862.

Lev, N., Liu, B. (2021). Spectrality of polytopes and equidecomposability by translations. International Mathematics Research Notices, 2021(18), 13867-13891.

Lai, C.K., Liu, B., Prince, H. (2021). Spectral properties of some unions of linear spaces. Journal of Functional Analysis, 280(11), 108985.

Liu, B. (2019). An L²-identity and pinned distance problem. Geometric and Functional Analysis, 29(1), 283-294.