Research

Published Articles

1. Pollock's conjectures on icosahedral and dodecahedral numbers.
   With D. Basak, K. Saettone, and A. Zaharescu. International Mathematics Research Notices, 2025.
2. Ternary Goldbach for modular sets of Piatetski-Shapiro primes.
   With R. Bhat and A. Zaharescu. Bulletin Mathématique de la Société des Sciences Mathématiques de Roumanie 68(3), 253-280, 2025.
3. On the order of four-dimensional regular polytope numbers.
   With T. Nguyen and A. Zaharescu. Results in Mathematics 80, article 182, 2025.
4. Strange and pseudo-differentiable functions with applications to prime partitions.
   With N. Robles, A. Zaharescu, and D. Zeindler. Research in Number Theory 11, article 52, 2025.
5. Cannonball polygons with multiplicities.
   With K. Saettone, K. Song, and A. Zaharescu. Hardy-Ramanujan Journal 48, 2025.
6. An equidistribution result for differences associated with square pyramidal numbers II.
   With K. Saettone, K. Song, and A. Zaharescu. Aequationes Mathematicae 100, article 64, 2026.
7. Zeros of polynomials in derivatives of automorphic $L$-functions.
   With N. Wattanawanichkul and A. Zaharescu. Mathematika 72, e70120, 2026. DOI
8. Generalizations of Pollock's centered nonagonal numbers conjecture.
   With A. Zaharescu. The Ramanujan Journal 68, article 82, 2025.

Preprints and submitted works

9. On a conjecture about sums of Farey fractions.
   With X. Li and V. A. Nguyen. Submitted, 2026. arXiv
10. A generalization of Mundici's conjecture.
    With H. X. Nguyen, V. A. Nguyen, and A. Zaharescu. Submitted, 2026. arXiv
11. Admissible pairs: a variation to Pollock conjectures.
    With V. A. Nguyen and A. Zaharescu. Submitted, 2026. arXiv
12. Erdős-Moser equation in arithmetic progressions.
    With V. A. Nguyen and A. Zaharescu. Submitted, 2026. arXiv
13. Exponential sums twisted by general arithmetic functions.
    With N. Robles, A. Zaharescu, and D. Zeindler. Submitted, 2024. arXiv
14. An equidistribution result for differences associated with square pyramidal numbers.
    With K. Saettone, K. Song, and A. Zaharescu. Submitted, 2024. arXiv
15. The $\theta=\infty$ conjecture and the Riemann hypothesis for automorphic $L$-functions.
    With N. Wattanawanichkul and A. Zaharescu. Submitted, 2026. arXiv
16. Self-intersection points of billiard trajectories in a square with small pockets.
    With C. Edsey, S. Iwai, and A. Zaharescu. Submitted, 2026.

In preparation

16. Bilinear forms with Kloosterman fractions and applications.
    With N. Robles and D. Zeindler. In preparation, 2026.