1.  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)

2.  Powers of Jacobi triple product, Cohen’s numbers and the Ramanujan \Delta-function.  Eur. J. Math. 4:2 (2018), 561--584. (with V. Gritsenko)  

3.  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) 

4.  Theta block conjecture for paramodular forms of weight 2.  Proc. Amer. Math. Soc. 148 (2020), 1863-1878. (with V. Gritsenko) 

5.  Graded rings of integral Jacobi forms.  J. Number Theory 214 (2020), 382-298. (with V. Gritsenko)  

6.  On some free algebras of orthogonal modular forms.  Adv. Math. 373 (2020), 107332, 22 pp. (with B. Williams) 

7.  Reflective modular forms: a Jacobi forms approach.   Int. Math. Res. Not. IMRN. 2021 no. 3 (2021), 2081-2107. 

8.  Weyl invariant Jacobi forms: a new approach. Adv. Math. 384 (2021), 107752, 13 pp. 

9.  The classification of free algebras of orthogonal modular forms.  Compos. Math. 157 (2021), no. 9, 2026-2045. 

10. Weyl invariant E8 Jacobi forms. Commun. Number Theory Phys. 15 (2021) no. 3, 517-573.  

11.   On some free algebras of orthogonal modular forms II.  Res. Number Theory 7 (2021), no. 3, Paper No. 47, 21 pp.  

12.  Borcherds products of half-integral weight.  J. Number Theory 238 (2022), 944-950.  (with B. Williams) 

13.  Theta blocks related to root systems.  Math. Ann. 384 (2022), No. 3-4, 1157-1180. (with M. Dittmann)  

14.  Reflective modular forms on lattices of prime level. Trans. Amer. Math. Soc. 375 (2022), no. 5, 3451-3468.  

15.  Conway invariant Jacobi forms on the Leech lattice. Forum Math. 34 (2022), No. 6, 1591-1619.  (with K. Sun)  

16.  Graded rings of Hermitian modular forms with singularities. Manuscripta Math. 170 (2023), 283-311. (with B. Williams)  

17.  Siegel modular forms of degree two and level five. Ramanujan J. 60 (2023), 597-613. (with B. Williams)

18.  Simple lattices and free algebras of modular forms. Adv. Math. 413 (2023), 108835, 51 pp.  (with B. Williams)

19. On weak Jacobi forms of rank two.  J. Algebra. 634 (2023), 722-754. (with B. Williams).

20. 2-reflective lattices of signature (n,2) with n>=8.  Int. Math. Res. Not. IMRN. 2023 no. 20 (2023), 17953-17971. 

21. Weyl invariant E8 Jacobi forms and E-strings. Commun. Number Theory Phys. 17 (2023) no. 3, 553-582. (with K. Sun).

22. Automorphic products that are singular modulo primes.  Res. Number Theory.  10 (2024), no. 1, Paper No. 8, 16 pp. (with B. Williams)

23. The classification of 2-reflective modular forms. J. Eur. Math. Soc. 26 (2024), no. 1, pp. 111-151. 

24. On intermediate Lie algebra E7+1/2.  Lett. Math. Phys. 114 (2024), no. 1, Paper No. 13, 33 pp. (with K. Lee & K. Sun). 

25. Modular forms with poles on hyperplane arrangements. Algebr. Geom. 11 (2024), no. 4, 506-568.  (with B. Williams) 

26. On intermediate exceptional series.  Lett. Math. Phys. 114 (2024), Paper No. 113  (with K. Lee & K. Sun) 

1.  Projective spaces as orthogonal modular varieties. Transform. Groups. publish online. (with B. Williams) arXiv

2. Orbits of Jacobi forms and Theta relations. accepted by Sci. China Math. (with V. Gritsenko)  arXiv

3. There are no extremal eutactic stars other than root systems. accepted by Bull. Lond. Math. Soc.  arXiv 

4. On the non-existence of singular Borcherds products. accepted by Amer. J. Math. (with B. Williams) arXiv 

5. The fake monster algebra and singular Borcherds products. accepted by Adv. Math. (with B. Williams) arXiv 

6. Mathieu moonshine and Borcherds products. accepted by Commun. Number Theory Phys. (with B. Williams)   arXiv 

1.   Free algebras of modular forms on ball quotients (with B. Williams). arXiv: 2105.14892. 

2.   On the classification of reflective modular forms.  arXiv: 2301.12606.

3.  Hyperbolization of affine Lie algebras.  (with K. Sun & B. Williams). arXiv: 2312.03234. 

4.  Sums of four polygonal numbers: precise formulas. (with J. Li). arXiv: 2405.14710.  

5. Jacobi forms of weight one on \Gamma_0(N). (with J. Li). arXiv: 2410.13208.