My research interest lies in number theory. In particular, my PhD thesis concerns the arithmetic of linear recurrence sequences and related problems, especially the divisibility properties of Lucas sequences.
I am also interested in exploring explicit integral/rational solutions of Diophantine equations.
Publications and Preprints
- Monogenity of Fibonacci polynomials and Lucas polynomials (with H. Chen and W. Guo), arXiv:2606.08024
- On big primitive divisors of Fibonacci numbers, Ramanujan J. 67.1 (2025), p. 20. arXiv version
- Stewart’s theorem revisited: suppressing the norm hypothesis, Bol. Soc. Mat. Mex. (3) 28 (2022), no. 3, Paper No. 60, 10. MR 4462796 arXiv version
- Big prime factors in orders of elliptic curves over finite fields (with Yu. Bilu and F. Luca), Publ. Math. Debrecen 102 (2023), no. 3-4, 459–474. MR 4592786 arXiv version
- Uniform explicit Stewart theorem on prime factors of linear recurrences (with Yu. Bilu and S. Gun), Acta Arith. 206 (2022), no. 3, 223–243. MR 4522848 arXiv version
Academic Communications
Conferences (Co-)Organized
- Coconut City Number Theory Workshop, Hainan University, 5 April 2026
Talks
- Big prime factors of linear recurrent sequences, Xiamen University, 1 November 2024
- Big prime factors of linear recurrent sequences (online), Shantou University, 3 April 2024
- On primes of some algebraic numbers in quadratic fields, MARGAUx PhD Days, University of Poitiers, 23 May 2023
- Brief introduction to linear forms in logarithm, Lambda Seminar, University of Bordeaux, 20 April 2022
- Stewart’s theorem on prime factors of linear recurrences and its explicit version, Journée GANDA, University of Bordeaux, 26 November 2021
Conferences Attended (Selected)
- The 6th BRICS Mathematics Conference, Hainan University, 11-14 December 2025
- DIOPHANTINE DAYS 2025, Westlake University, 17–21 March 2025
- Sage Days 117: combinatorics, number theory, dynamical systems and geometry, Maison de la nature du bassin d’Arcachon, Le Teich, 6–10 February 2023
- Automorphic Forms Summer School, Erdős Center, Budapest, 29 August–2 September 2022
- Number Theory Conference 2022 (in honour of Professors Kálmán Győry, János Pintz and András Sárközy), University of Debrecen, 4–8 July 2022
- La 5ième petite journée GANDA, Institut de Mathématiques de Bordeaux (IMB), 26 November 2021