人员 > 科研教学系列 > 刘博辰

刘博辰

副教授  

https://faculty.sustech.edu.cn/liubc/

  • 简历
  • 科研
  • 教学
  • 发表论著

研究方向

调和分析、几何测度论、组合数学


教育经历

2017    美国罗切斯特大学数学博士

2012    浙江大学数学学士(丘成桐数学英才班)


工作经历

2021.01 -                  澳门太阳集团网站入口副教授

2020.11 - 2020.12    澳门太阳集团网站入口助理教授

2020.08 - 2020.11    澳门太阳集团网站入口访问学者

2019.08 - 2020.07    台湾大学理论科学研究中心数学部博士后

2018.08 - 2019.08    香港中文大学澳门太阳集团网站入口博士后

2017.10 - 2018.08    以色列巴伊兰大学澳门太阳集团网站入口博士后

2017.07 - 2017.09    香港科技大学澳门太阳集团网站入口访问学者

2016.10 - 2017.05    香港中文大学澳门太阳集团网站入口研究助理


代表文章

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.


会议主持

1. 2021.09.24 - 2021.09.25    偏微分方程理论与计算研讨会(南方科技大学,深圳)

2. 2021.11.19 - 2021.11.21     流形上的调和分析学术交流会(南方科技大学,深圳)

3. 2022.10.13 - 2022.12.14     “调和分析最新进展”系列线上报告

4. 2023.07.30 - 2023.08.04     傅里叶分析暑期研讨会(南方科技大学,深圳)


学生讨论班

2022秋季    黎曼几何讨论班

2023春季    分析专题

基金项目

2022.01-2026.12:有限集合与极限组合的若干问题,252万,国家自然科学基金项目-重点项目,参与,在研

授课课程

2020年秋

实变函数中英双语(MA301)

测度论与积分(MAT7002)

2021年春

组合数学专题(MAT7080)

2021秋 
实变函数(H)(MA337)
2022
复变函数(H)(MA232)
2022
偏微分方程(H)(MA336)
2023
分析专题(MAT7067)
2023
偏微分方程(H)(MA336)


学生讨论班

2021年春
高级分析讨论班(MA447)
2022
集合论讨论班(MA126)
2022
实分析讨论班
2022
高级分析讨论班(MA447)
傅立叶分析讨论班
黎曼几何讨论班
2023
集合论讨论班(MA126)
从微积分到上同调讨论班
2023
高级分析讨论班(MA447)


学术成果 (更新时间:2023年7月)

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.

Liu, B. (2020). On Hausdorff dimension of radial projections. Revista Matemática Iberoamericana, 37(4), 1307-1319.

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. (2020). Hausdorff dimension of pinned distance sets and the L²-method. Proceedings of the American Mathematical Society, 148(1), 333-341.

Lev, N., Liu, B. (2019). Multi‐tiling and equidecomposability of polytopes by lattice translates. Bulletin of the London Mathematical Society, 51(6), 1079-1098.

Liu, B. (2019). Improvement on 2-chains inside thin subsets of Euclidean spaces. The Journal of Geometric Analysis, 29(4), 3520-3539.

Iosevich, A., Liu, B. (2019). Equilateral triangles in subsets of ℝd of large Hausdorff dimension. Israel Journal of Mathematics, 231(1), 123-137.

Liu, B. (2019). Group actions, the Mattila integral and applications. Proceedings of the American Mathematical Society, 147(6), 2503-2516.

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

Iosevich, A., Liu, B. (2019). Pinned distance problem, slicing measures, and local smoothing estimates. Transactions of the American Mathematical Society, 371(6), 4459-4474.

Liu, B. (2017). Finite configurations contained in subsets of Euclidean spaces. University of Rochester. (Ph.D. Thesis)

Iosevich, A., Liu, B. (2015). Falconer distance problem, additive energy and Cartesian products. Annales Academiae Scientiarum Fennicae-Mathematica, 41(2), 579–585.

Greenleaf, A., Iosevich, A., Liu, B., Palsson, E. (2015). A group-theoretic viewpoint on Erdős–Falconer problems and the Mattila integral. Revista Matemática Iberoamericana, 31(3), 799-810.

Liu, B. (2014). On radii of spheres determined by subsets of Euclidean space. Journal of Fourier Analysis and Applications, 20(3), 668-678.