# Bochen Liu

### PhD student

910 Hylan Building
Department of Mathematics
University of Rochester

bliu19 at ur dot rochester period edu

I’m a 5th year PhD student under supervision of Prof. Alex Iosevich. My research interests are harmonic analysis and geometric measure theory. Here is my CV.

## Papers

• An elementary approach to simplexes in thin subsets of Euclidean space (with A. Greenleaf, A. Iosevich and E. Palsson), arXiv:1608.04777.

• Equilateral triangles in subsets of $\mathbb{R}^d$ of large Hausdorff dimension (with A. Iosevich), arXiv:1603.01907.

• Falconer distance problem, additive energy and Cartesian products (with A. Iosevich), Ann. Acad. Sci. Fenn. Math. 41 (2016), 579–585.

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

• On radii of spheres determined by subsets of Euclidean space, J. Fourier Anal. Appl. Volume 20, Issue 3 (2014), Page 668–678.