Research Papers

  1. Explicit quadratic large sieve inequality. Acta Arithmetica, 223(3):227-252 (2026).
  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

Additive divisor problem

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.