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教研序列

详细信息

刘博辰

刘博辰

副教授
someemail@sustech.edu.cn

研究方向

调和分析、几何测度论、组合数学

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 -至今 南方科技大学数学系副教授

2020.11 - 2020.12 南方科技大学数学系助理教授

2020.08 - 2020.11 南方科技大学数学系访问学者

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 香港中文大学数学系博士后

2017.10 - 2018.08 以色列巴伊兰大学数学系博士后

2017.07 - 2017.09 香港科技大学数学系访问学者

2016.10 - 2017.05 香港中文大学数学系研究助理

代表文章

  1. On radii of spheres determined by subsets of Euclidean space, J. Fourier Anal. Appl. 20 (2014), no.3, 668-678.

  2. A group-theoretic viewpoint on Erdos-Falconer problems and the Mattila integral (with Allan Greenleaf, Alex Iosevich, Eyvindur A. Palsson), Rev. Mat. Iberoam. 31 (2015), no.3, 799- 810.

  3. Falconer distance problem, additive energy and Cartesian products (with Alex Iosevich), Ann. Acad. Sci. Fenn. Math. 41 (2016), no.2, 579-585.

  4. Equilateral triangles in subsets of R d of large Hausdorff dimension (with Alex Iosevich), Israel J. Math. 231 (2019), no.1, 123-137.

  5. Group actions, the Mattila integral and applications, Proc. Amer. Math. Soc. 147 (2019), no.6, 2503-2516.

  6. Pinned distance problem, slicing measures, and local smoothing estimates (with Alex Iosevich), Trans. Amer. Math. Soc. 371 (2019), no.6, 4459-4474.

  7. Improvement on 2-chains inside thin subsets of Euclidean spaces, J. Geom. Anal. 29 (2019), no.4, 3520-3539.

  8. An L 2 -identity and pinned distance problem, Geom. Funct. Anal. 29 (2019), no.1, 283-294.

  9. Multi-tiling and equidecomposability of polytopes by lattice translates (With Nir Lev), Bull. Lond. Math. Soc. 51 (2019), no.6, 1079-1098.

  10. Periodic structure of translational multi-tilings in the plane, Amer. J. Math. 143 (2021), no.6, 1841-1862.

  11. Hausdorff dimension of pinned distance sets and the L 2 - method, Proc. Amer. Math. Soc. 148 (2020), no.1, 333-341.

  12. Spectrality of polytopes and equidecomposability by translations (with Nir Lev), Int. Math. Res. Not. IMRN 2021, no.18, 13867- 13891.

  13. On Hausdorff dimension of radial projections, Rev. Mat. Iberoam., 37 (2021), no.4, 1307-1319.

  14. Fourier frames for surface-carried measures (with Alex Iosevich, Chun-Kit Lai, Emmett Wyman), Int. Math. Res. Not. IMRN 2022, no.3, 1644-1665,

  15. Microlocal decoupling inequalities and the distance problem on Riemannian manifolds (with Alex Iosevich, Yakun Xi), Amer. J. Math., accepted for publication, arXiv:1909.05171.

  16. Spectral properties of some unions of linear spaces (with Chun-Kit Lai, Hal Prince), J. Funct. Anal. 280 (2021), no.11, 108985.

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）