Research Interests

I am currently interested in Harmonic Analysis and Partial Differential Equations. I am also interested in some analytic number theory problems related to the density of specific number sequences.

Papers and Preprints

  1. (With Xiangjun Dai and Huixi Li) Some results on a conjecture of de Polignac about numbers of the form p+2kp+2^k. Journal of Number Theory, Volume 266, January 2025, Pages 249-268, arXiv:2402.06644.

  2. (With Huixi Li) Arithmetic progressions not containing numbers of the form p+Fnp + F_n. The Fibonacci Quarterly, Volume 63 Issue 2, May 2025, Pages 336–344.

  3. Decoupling and Discrete Strichartz Estimates for Dispersive Equations on the Torus. ArXiv:2606.16174.

Talks with Slides

  1. Some computational results on numbers of the form p+2kp+2^k and p+Fnp+F_n, Undergraduate Forum No. 146, at Nankai University. May 5th, 2024. (Slides)
  2. Arithmetic progressions not containing numbers of the form p+Fnp+F_n, 21th International Fibonacci Conference, at Harvey Mudd College, in Claremont, CA, USA. July 9th, 2024. (Slides)
  3. Polynomial Partitioning and Its Applications in Incidence Geometry, Student Harmonic Analysis and Combinatorics (SHAC) Seminar, at UC Berkeley. April 15th, 2026. (Slides)
  4. Applications of Decoupling Inequality in Vinogradov Problems and Discrete Strichartz Estimates, Harmonic Analysis and Differential Equations Student (HADES) Seminar, at UC Berkeley. May 6th, 2026. (Slides)

As a Referee

Journal of Integer Sequences.