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Preprints

7. The linear independence of \(1\), \(\zeta(3)\), and \(\zeta(4)\), (2026 preprint) arXiv

6. A polynomial basis for the multizeta algebra in positive characteristic, (2026 preprint) arxiv

5. \(\mathbb{F}_q\)-linear relations among Thakur's multiple zeta values in positive characteristic (with Jinyuan Hu, Hanqing Huang and Kunyue Li), (2026 preprint) arXiv

4. On the \(P(t)\)-adic Littlewood conjecture in odd characteristics (with Johannes Sprang), (2026 preprint) arXiv

3. A partial result towards the Chowla–Milnor conjecture (with Jia Li), (2025 preprint) arxiv

2. Small improvements to the Ball–Rivoal theorem and its \(p\)-adic variant, to appear in Front. Comb. Number Theory, (2025 preprint) arXiv

1. Many \(p\)-adic odd zeta values are irrational (with Johannes Sprang), to appear in Michigan Math. J., (2023 preprint) arXiv

Publications

10. A note on the number of irrational odd zeta values, II, J. Théor. Nombres Bordeaux 38 (2026), no. 2, 469–487. arXiv

9. A note on the irrationality of \(\zeta_2(5)\) (with Johannes Sprang and Wadim Zudilin), Int. Math. Res. Not. (2026), no. 16, Paper No. rnag180. arxiv

8. On the largest prime divisor of \(n!+1\), Bull. Aust. Math. Soc. 113 (2026), no. 3, 390–403. arXiv

7. Elementary proofs of Zagier's formula for multiple zeta values and its odd variant (with Cezar Lupu and Derek Orr), Proc. Amer. Math. Soc. 154 (2026), no. 01, 11–24. arXiv

6. On the irrationality of certain \(p\)-adic zeta values (with Cezar Lupu and Johannes Sprang), Res. Math. Sci. 12 (2025), no. 4, Paper No. 77. arxiv

5. On the irrationality of certain \(2\)-adic zeta values, Int. J. Number Theory 21 (2025), no. 1, 207–235. arXiv

4. On the rigidity of stationary charged black holes: small perturbations of the non-extremal Kerr-Newman family (with Jiong-Yue Li and Pin Yu), J. Differential Geom. 125 (2023), no.3, 553–612. arXiv

3. On two conjectures of Sun concerning Apéry-like series (with Steven Charlton, Herbert Gangl, Ce Xu and Jianqiang Zhao), Forum Math. 35 (2023), no. 6, 1533–1547. arXiv

2. At least two of \(\zeta(5),\zeta(7),\ldots,\zeta(35)\) are irrational (with Li Zhou), Publ. Math. Debrecen 101/3–4 (2022), 353–372. arXiv

1. A note on the number of irrational odd zeta values (with Pin Yu), Compos. Math. 156 (2020), no. 8, 1699–1717. arXiv