research

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 Huixi Li and Xiangjun Dai) Some results on a conjecture of de Polignac about numbers of the form $p+2^k$. 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 $p + F_n$. The Fibonacci Quarterly, 2025, Accepted.

Talks with Slides

1. Some computational results on numbers of the form $p+2^k$ and $p+F_n$, Undergraduate Forum No. 146, in Nankai University. May 5th, 2024. (Slides)
2. Arithmetic progressions not containing numbers of the form $p+F_n$, 21th International Fibonacci Conference, at Harvey Mudd College, in Claremont, CA, USA. July 9th, 2024.