Skip to main content

Faculty Profile

Detailed information about our faculty member

Bochen LIU

Bochen LIU

Associate Professor
someemail@sustech.edu.cn

Research Interests

Harmonic Analysis， Geometric Measure，Theory Combinatorics

Working Experience：

2021.01 - Present, Associate Professor, Department of Mathematics, Southern University of Science and Technology (SUSTech), China

2020.11 - 2020.12, Assistant Professor, Department of Mathematics, Southern University of Science and Technology (SUSTech), China

2020.08 - 2020.11, Visiting Scholar, Department of Mathematics, Southern University of Science and Technology (SUSTech), China

2019.08 - 2020.07, Postdoctoral Fellow, Mathematics Division, Center for Theoretical Sciences, National Taiwan University, Taiwan

2018.08 - 2019.08, Postdoctoral Fellow, Department of Mathematics, The Chinese University of Hong Kong (CUHK), Hong Kong SAR

2017.10 - 2018.08, Postdoctoral Fellow, Department of Mathematics, Bar-Ilan University, Israel

2017.07 - 2017.09, Visiting Scholar, Department of Mathematics, The Hong Kong University of Science and Technology (HKUST), Hong Kong SAR

2016.10 - 2017.05, Research Assistant, Department of Mathematics, The Chinese University of Hong Kong (CUHK), Hong Kong SAR

Publication (accepted and above)：

  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.