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.
