Harper's beyond square-root conjecture (With Victor Y. Wang)

*Submitted*

Better than square-root cancellation for random multiplicative functions

*Transactions of the American Mathematical Society. Series B***11**(2024), 482–507

Extreme values of Dirichlet polynomials with multiplicative coefficients (with Daodao Yang)

*Journal of Number Theory***258**(2024), 173-180

Central limit theorems for random multiplicative functions (with Kannan Soundararajan) [Video, Sound] [Video, myself]

*Journal d'Analyse Mathématique,*2023 (special volume to celebrate Peter Sarnak's 70th birthday)

Paucity phenomena for polynomial products (with Victor Y. Wang)

*Bulletin of the London Mathematical Society,*2024

Partial sums of typical multiplicative functions over short moving intervals (with Mayank Pandey and Victor Y. Wang)

*Algebra & Number Theory,***18(2):**389–408, 2024

On a Turán conjecture and random multiplicative functions (with Rodrigo Angelo) [Video]

*Quarterly journal of mathematics,***74**(2023), 767-777

On the random Chowla conjecture (with Oleksiy Klurman and Ilya D. Shkredov)

*Geometric and Functional Analysis,***33**(2023), 749–777.

Universality of low degree factors of random polynomials over finite fields (with Jimmy He and Huy Tuan Pham)

*International Mathematics Research Notices,*2023 (17), 14752-14794

On product sets of arithmetic progressions (with Yunkun Zhou) [Video]

*Discrete Analysis*2023:10, 31 pp.

Discrepancy of arithmetic progressions in grids (with Jacob Fox and Yunkun Zhou)

*Mathematika,***70**(2024), no. 1, Paper No. e12237, 31 pp.

Discrepancy in modular arithmetic progressions (with Jacob Fox and Yunkun Zhou) [Video]

*Compositio Mathematica***158**(2022), 2082-2108.

Multicolor list Ramsey numbers grow exponentially (with Jacob Fox, Xiaoyu He, and Sammy Luo)

*Journal of Graph Theory,***101**(2022), 389–396.

Mixing time of fractional random walk on finite fields (with Jimmy He and Huy Tuan Pham) [Video, talk by Jimmy He]

*Electronic Journal of Probability,***27**(2022), 1-15

A note on the Erdős distinct subset sums problem (with Quentin Dubroff and Jacob Fox)

*SIAM Journal on Discrete Math.***35**(2021), 322-324.

A polynomial with a root mod p for all p has a real root (with Rodrigo Angelo)

*Submitted.*

Irreducibility of random polynomials of bounded degree (with Huy Tuan Pham) [Editorial introduction]

*Discrete Analysis*2021:7, 16 pp.

A robust version of Freiman's 3k-4 Theorem and applications (with Fernando Xuancheng Shao)

*Mathematical Proceedings of the Cambridge Philosophical Society***166**(2019), 567-581.

Popular differences and generalized Sidon Sets

*Journal of Number Theory***186**(2018), 103-120

Arithmetic properties of random polynomials (Supervisor: Prof. Péter Varjú )