Preprints and publications

• K3 surfaces and orthogonal modular forms (with A. Clingher and A. Malmendier). pdf
• Cones of Noether--Lefschetz divisors and moduli spaces of hyperkähler manifolds (with I. Barros, P. Beri and L. Flapan). pdf
• Hyperbolization of affine Lie algebras (with K. Sun and H. Wang). pdf
• Automorphic products that are singular modulo primes (with H. Wang). pdf Res. Number Theory 10 (2024), art. 8
• On the non-existence of singular Borcherds products (with H. Wang). pdf To appear in Amer. J. Math.
• Binary theta series and Borcherds products (with M. Schwagenscheidt). pdf J. Number Theory 249 (2023) 441--461 link
• Mathieu moonshine and Borcherds products (with H. Wang). pdf
• The fake monster algebra and singular Borcherds products (with H. Wang). pdf
• On Hermitian Eisenstein series of degree 2 (with A. Hauffe-Waschbüsch and A. Krieg), pdf Funct. Approx. Comment. Math. 68(1) (2023) 127--141 link
• Modular forms with poles on hyperplane arrangements (with H. Wang). pdf To appear in Alg. Geometry.
• Siegel modular forms of degree two and level five (with H. Wang). pdf Ramanujan J. 60, 597--613 (2023) link
• Graded rings of Hermitian modular forms with singularities (with H. Wang). pdf Manuscripta Math. 170, 283--311 (2023) link
• Free algebras of modular forms on ball quotients (with H. Wang). pdf data
• On weak Jacobi forms of rank two (with H. Wang). pdf J. Algebra 634, 722--754 (2023).
• Simple lattices and free algebras of modular forms (with H. Wang). pdf Adv. Math. 413 (2023), 108835 link
• Projective spaces as orthogonal modular varieties (with H. Wang). pdf data To appear in Transform. Groups link
• Borcherds products of half-integral weight (with H. Wang). pdf J. Number Theory 238 (2022) 944--950 link
• On some free algebras of orthogonal modular forms (with H. Wang). pdf Adv. Math. 373 (2020), 107332 link
• Two graded rings of Hermitian modular forms. pdf Relations for Q(sqrt(-11)) here. Abh. Math. Sem. Univ. Hamburg 91 (2021) 257--285 link
• Higher pullbacks of modular forms on orthogonal groups. pdf Forum Math. 33 (2021) 631-652 link
• Graded rings of paramodular forms of levels 5 and 7. pdf Relations for level 5 and level 7. Fourier expansions of generators here. J. Number Theory 209 (2020) 483-515 link
• Twisted component sums of vector-valued modular forms (with M. Schwagenscheidt). pdf Abh. Math. Sem. Univ. Hamburg 89 (2019) 151-168 link
• A construction of antisymmetric modular forms for Weil representations. pdf Math. Zeitschrift 296 (2020) 391--408 link
• The rings of Hilbert modular forms for Q(sqrt29) and Q(sqrt37). pdf Data for Q(sqrt29) and Q(sqrt37) With an appendix by A. Logan: pdf magma files. J. Algebra 559 (2020), 679-711. link
• Remarks on the theta decomposition of vector-valued Jacobi forms. pdf J. Number Theory 197 (2019), 250-267. link
• Short proof of Rademacher's formula for partitions (with W. Pribitkin). pdf Res. Number Theory 5 (2019), no. 2, Art. 17, 6 pp. link
• Rankin-Cohen brackets and Serre derivatives as Poincaré series. pdf Res. Number Theory 4 (2018), no. 4, Art. 37, 13 pp. link
• Vector-valued Hirzebruch-Zagier series and class number sums. pdf Res. Math. Sci. 5 (2018), no. 2, Paper No. 25, 13 pp. link
• Overpartition M2-rank differences, class number relations, and vector-valued mock Eisenstein series. pdf Acta Arith. 189 (2019), no. 4, 347-365. link
• Poincaré square series of small weight. pdf Ramanujan J. 48 (2019), no. 3, 585-612. link
• Vector-valued Eisenstein series of small weight. pdf Int. J. Number Theory 15 (2019), no. 2, 265-287. link
• Poincaré square series for the Weil representation. pdf Ramanujan J. 47 (2018), no. 3, 605-650. link

Ph.D. thesis