1. A quadratic Roth theorem for sets with large Hausdorff dimensions (2024), to appear in Journal of Fractal Geometry. [arXiv]

2. Fourier dimension of constant rank hypersurfaces. Math. Ann. (2025). [doi] [arXiv] 

3. Fourier dimension of conical and cylindrical hypersurfaces (2023). [arXiv]

Past Talks

• Analysis Seminar, UW-Madison, Madison, WI, US. April 2025.

• SLMath (MSRI) Special Session on at the Intersection of Harmonic Analysis and Fractal Geometry, Joint Mathematics Meetings, Seattle, WA, US. January 2025.

• Harmonic Analysis and Geometric Measure Theory special session, Canadian Mathematics Society Winter Meeting, Richmond, BC, Canada. December 2024.

• Harmonic analysis and fractal geometry seminar, UBC, Vancouver, BC, Canada. March 2024.

• Faculty of math and statistics seminar, Hubei University, China. December 2023.

• Harmonic analysis and partial differential equation special session, Canadian Math Society Winter Meeting, Montreal, Canada. December 2023.

Thesis

• On applications of oscillatory integrals (2025).  Link

• On the Lp-improving property of the Cantor-Lebesgue measure (2020). Link