Research Papers

  1. Explicit quadratic large sieve inequality. Accepted by Acta Arithmetica (2026). arXiv.
  2. On sums of Fourier coefficients of cusp forms twisted with additive characters (2023). arXiv.
  3. On a weighted sum over multiplicative functions and its applications to the GPY sieve (2022). arXiv.

  4. A corrected simplified proof of Chen’s theorem (2022). arXiv.

  5. PM2.5 Density Prediction Based on a Two-Stage Rolling Forecast Model Using LightGBM. In W. Cao, A. Ozcan, H. Xie, & B. Guan (Eds.), Computing and Data Science (Vol. 1513, pp. 228–248) (2021). Springer Nature Singapore.

Expository

Gaps between primes

Lectures on sieve methods (Chinese version)

Talks

  • 21 July 2025: On the distribution of zeros of $\zeta(s)$ (Slides) (Recording)

  • 9 Dec 2024 (with Ruiyang Tang and Siyu Liu): Inverse Galois problem (Slides)

  • 16 Oct 2024: Special values of the Riemann zeta function (Slides) (Recording EP1 EP2)

  • 28 Feb 2024 (with May Jiang, Qing Su, and Hantang Guo): Introduction to $p$-adic Analysis (Slides) (Recording)

  • 11 Oct 2023: Ray Reflection and Rational Approximation (Notes) (Recording)

  • 6 June 2023 (with Yi Liu, Daya Singh, and Tairan Wang): Axiom of Choice: Equivalents, Consequences, and Independence (Slides)

  • 10 Mar 2023: Ellipses, Pendulum, and Double Periodicity (Notes) (Recording)

  • 28 Oct 2022: Bounded gaps between primes (Slides) (Recording)

The recordings are also available on Bilibili.