Conjecture on first-order theta-blocks. (Russian) Uspekhi Mat. Nauk 72:5(437) (2017), 191-192; translation in Russian Math. Surveys 72:5 (2017), 968--970. (with V. Gritsenko)
Powers of Jacobi triple product, Cohen’s numbers and the Ramanujan \Delta-function. Eur. J. Math. 4:2 (2018), 561--584. (with V. Gritsenko) arXiv
Weight 3 antisymmetric paramodular forms. (Russian) Math. Sb. 210 (2019), no. 12, 43-66; translation in Sb. Math. 210 (2019), no. 12, 1702–1723. (with V. Gritsenko) arXiv
Theta block conjecture for paramodular forms of weight 2. Proc. Amer. Math. Soc. 148 (2020), 1863-1878. (with V. Gritsenko) arXiv
Graded rings of integral Jacobi forms. J. Number Theory 214 (2020), 382-298. (with V. Gritsenko) arXiv
On some free algebras of orthogonal modular forms. Adv. Math. 373 (2020), 107332, 22 pp. (with B. Williams) arXiv
Reflective modular forms: a Jacobi forms approach. Int. Math. Res. Not. IMRN. 2021 no. 3 (2021), 2081-2107. arXiv
Weyl invariant Jacobi forms: a new approach. Adv. Math. 384 (2021), 107752, 13 pp. arXiv
The classification of free algebras of orthogonal modular forms. Compos. Math. 157 (2021), no. 9, 2026-2045. arXiv
Weyl invariant E8 Jacobi forms. Commun. Number Theory Phys. 15 (2021) no. 3, 517-573. arXiv
On some free algebras of orthogonal modular forms II. Res. Number Theory 7 (2021), no. 3, Paper No. 47, 21 pp. arXiv
Borcherds products of half-integral weight. J. Number Theory 238 (2022), 944-950. (with B. Williams) arXiv
Theta blocks related to root systems. Math. Ann. 384 (2022), No. 3-4, 1157-1180. (with M. Dittmann) arXiv
Reflective modular forms on lattices of prime level. Trans. Amer. Math. Soc. 375 (2022), no. 5, 3451-3468. arXiv
Conway invariant Jacobi forms on the Leech lattice. Forum Math. 34 (2022), No. 6, 1591-1619. (with K. Sun) arXiv
Graded rings of Hermitian modular forms with singularities. Manuscripta Math. 170 (2023), 283-311. (with B. Williams) arXiv
Siegel modular forms of degree two and level five. Ramanujan J. 60 (2023), 597-613. (with B. Williams)
Simple lattices and free algebras of modular forms. Adv. Math. 413 (2023), 108835, 51 pp. (with B. Williams) arXiv
On weak Jacobi forms of rank two. J. Algebra. 634 (2023), 722-754. (with B. Williams) arXiv
2-reflective lattices of signature (n,2) with n>=8. Int. Math. Res. Not. IMRN. 2023 no. 20 (2023), 17953-17971. arXiv
Weyl invariant E8 Jacobi forms and E-strings. Commun. Number Theory Phys. 17 (2023) no. 3, 553-582. (with K. Sun) arXiv
Automorphic products that are singular modulo primes. Res. Number Theory. 10 (2024), no. 1, Paper No. 8, 16 pp. (with B. Williams) arXiv
The classification of 2-reflective modular forms. J. Eur. Math. Soc. 26 (2024), no. 1, pp. 111-151. arXiv
On intermediate Lie algebra E7+1/2. Lett. Math. Phys. 114 (2024), no. 1, Paper No. 13, 33 pp. (with K. Lee & K. Sun). arXiv
Modular forms with poles on hyperplane arrangements. Algebr. Geom. 11 (2024), no. 4, 506-568. (with B. Williams) arXiv
On intermediate exceptional series. Lett. Math. Phys. 114 (2024), Paper No. 113 (with K. Lee & K. Sun) arXiv
There are no extremal eutactic stars other than root systems. Bull. Lond. Math. Soc. 57 (2025), no. 1, 16-22. arXiv
The fake monster algebra and singular Borcherds products. Adv. Math. 461 (2025), 110083, 52 pp. (with B. Williams) arXiv
Mathieu moonshine and Borcherds products. Commun. Number Theory Phys. 19 (2025) no. 1, 169-196. (with B. Williams) arXiv
Sums of four polygonal numbers: precise formulas. J. Number Theory 271 (2025), 407-422. (with J. Li) arXiv
Orbits of Jacobi forms and Theta relations. Sci. China Math. 68 (2025), 1015-1030. (with V. Gritsenko) arXiv
Projective spaces as orthogonal modular varieties. Transform. Groups. 30 (2025), 933-966. (with B. Williams) arXiv Data
On the non-existence of singular Borcherds products. accepted by Amer. J. Math. (with B. Williams) arXiv
On the classification of reflective modular forms. accepted by Eur. J. Math. arXiv
Hyperbolization of affine Lie algebras. accepted by Mem. Amer. Math. Soc. (with K. Sun & B. Williams) arXiv
Free algebras of modular forms on ball quotients. accepted by Res. Math. Sci. (with B. Williams) arXiv
Jacobi forms of weight one on \Gamma_0(N). accepted by J. Lond. Math. Soc. (with J. Li) arXiv
On the vanishing order of Jacobi forms at infinity. (with J. Li). arXiv:2506.16083