Publications

  1. Theta functions of indefinite quadratic forms over real number fields. Proc. Amer. Math. Soc. 128 (2000), no. 3, 701-708. pdf
  2. Theta functions of quadratic forms over imaginary quadratic fields. Acta Arith. 92 (2000), no. 1, 1-9. pdf
  3. A remark on the behavior of theta series of degree n under modular transformations. Internat. Math. Res. Notices 2001, no. 7, 371-379. pdf 
  4. Theta functions with harmonic coefficients over number fields. J. Number Theory 95 (2002), no. 1, 101-121. pdf
  5. On transformation laws for theta functions. Rocky Mountain J. Math. 34 (2004), no. 4, 1473-1481. pdf
  6. Jacobi theta functions over number fields (with H. Skogman). Monatsh. Math. 141 (2004), no. 3, 219-235. pdf
  7. On Rankin-Cohen brackets for Siegel modular forms (with Ö. Imamoglu). Proc. Amer. Math. Soc. 134 (2006), no. 4, 995-1001. pdf
  8. Differential operators on Hilbert modular forms (with Y. Choie and H. Kim). J. Number Theory 122 (2007), no. 1, 25-36. pdf
  9. Maass-Jacobi forms over complex quadratic fields (with K. Bringmann and C. Conley). Math. Res. Lett. 14 (2007), no. 1, 137-156. pdf
  10. Classification of the space spanned by theta series and applications (with Y. Choie). Proc. Amer. Math. Soc. 135 (2007), no. 8, 2309-2315. pdf
  11. A combinatorial characterization of Jacobi forms (with Y. Choie). Rocky Mountain J. Math. 39 (2009), no. 2, 455-462. pdf 
  12. The action of the heat operator on Jacobi forms. Proc. Amer. Math. Soc. 137 (2009), no. 3, 869-875. pdf
  13. On congruences of Jacobi forms. Proc. Amer. Math. Soc. 136 (2008), no. 8, 2729-2734. pdf
  14. Differential operators and Siegel-Maass forms (with Ö. Imamoglu). Automorphic forms, automorphic representations and related topics, 109-115, RIMS Kôkyûroku 1715, Kyoto (2010). pdf
  15. Zagier-type dualities and lifting maps for harmonic Maass-Jacobi forms (with K. Bringmann). Adv. Math. 225 (2010), no. 4, 2298-2315. pdf
  16. Congruences for Siegel modular forms (with D. Choi and Y. Choie). Ann. Inst. Fourier (Grenoble) 61 (2011), no. 4, 1455-1466. pdf
  17. Ramanujan congruences for Siegel modular forms (with M. Dewar). Int. J. Number Theory 6 (2010), no. 7, 1677-1687. pdf
  18. Jacobi forms over complex quadratic fields via the cubic Casimir operators (with K. Bringmann and C. Conley).  Comment. Math. Helv. 87 (2012), no. 4, 825-859. pdf
  19. Exact formulas for coefficients of Jacobi forms (with K. Bringmann). Int. J. Number Theory 7 (2011), no. 3, 825-833. pdf 
  20. Kohnen’s limit process for real-analytic Siegel modular forms (with K. Bringmann and M. Raum). Adv. Math. 231 (2012), no. 2, 1100-1118. pdf  accompanying computations
  21. Holomorphic projections and Ramanujan's mock theta functions (with Ö. Imamoglu and M. Raum). Proc. Natl. Acad. Sci. USA (PNAS) 111 (2014), no. 11, 3961-3967. pdf
  22. Harmonic Maass-Jacobi forms with singularities and a theta-like decomposition (with K. Bringmann and M. Raum). Trans. Amer. Math. Soc. 367 (2015), no. 9, 6647-6670. pdf
  23. The structure of Siegel modular forms mod p and U(p) congruences (with M. Raum). Math. Res. Lett. 22 (2015), no. 3, 899-928. pdf
  24. Hermitian Jacobi forms and U(p) congruences (with J. Senadheera). Proc. Amer. Math. Soc. 143 (2015), no. 10, 4199-4210. pdf
  25. Sturm bounds for Siegel modular forms (with M. Westerholt-Raum). Res. Number Theory  1 (2015), Paper No. 5, 8 pp. pdf
  26. Almost holomorphic Poincaré series corresponding to products of harmonic Siegel-Maass forms (with K. Bringmann and M. Westerholt-Raum). Res. Math. Sci. 3 (2016), Paper No. 30, 16 pp. pdf
  27. Generators of Jacobi forms are Poincaré series (with H. Skogman). Ramanujan J. 45 (2018), no. 3, 639-645. pdf
  28. The skew-Maass lift I: The case of harmonic Maass-Jacobi forms (with M. Raum). Res. Math. Sci. 6 (2019), no. 2, Paper No. 22, 59 pp. pdf
  29. Nonholomorphic Ramanujan-type congruences for Hurwitz class numbers (with O. Beckwith and M. Raum). Proc. Natl. Acad. Sci. USA (PNAS) 117 (2020), no. 36, 21953-21961. pdf
  30. Congruences of Hurwitz class numbers on square classes (with O. Beckwith and M. Raum). Adv. Math. 409 (2022), Paper No. 108663, 19pp.  pdf
  31. Imaginary quadratic fields with ℓ-torsion-free class groups and specified split primes (with O. Beckwith and M. Raum). To appear in Internat. Math. Res. Notices. pdf
  32. The first low point in the theta cycle of modular forms modulo p² (with M. Hanson and M. Raum). Preprint.