Research Interests

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

Papers and Preprints

  1. (With 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.

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, in 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.