Markus Schwagenscheidt

PostDoc in Mathematics

Publications

Here you can find a list of my research articles.

  1. Meromorphic modular forms with rational cycle integrals (with Steffen Löbrich)
    preprint (2019)
  2. Traces of reciprocal singular moduli (with Claudia Alfes-Neumann)
    preprint (2019)
  3. Twisted component sums of vector-valued modular forms (with Brandon Williams)
    Abhandlungen aus dem mathematischen Seminar der Universität Hamburg (2019),
    DOI: https://doi.org/10.1007/s12188-019-00209-4
  4. Identities of cycle integrals of weak Maass forms (with Claudia Alfes-Neumann)
    Ramanujan Journal (2019), DOI: https://doi.org/10.1007/s11139-019-00143-2
  5. On the rationality of cycle integrals of meromorphic modular forms (with Claudia Alfes-Neumann and Kathrin Bringmann)
    Mathematische Annalen (2019), DOI: https://doi.org/10.1007/s00208-019-01914-4
  6. Holomorphic Borcherds products of singular weight for simple lattices of arbitrary level (with Sebastian Opitz)
    Proceedings of the AMS (2019), DOI: https://doi.org/10.1090/proc/14650
  7. Borcherds lifts of harmonic Maass forms and modular integrals
    Mathematische Annalen (2019), DOI: https://doi.org/10.1007/s00208-019-01903-7
  8. A converse theorem for Borcherds products on X0(N) (with Jan Hendrik Bruinier)
    Nagoya Mathematical Journal (2019), DOI: https://doi.org/10.1017/nmj.2019.3
  9. On the modular completion of certain non-holomorphic generating functions (with Kathrin Bringmann and Stephan Ehlen)
    preprint (2019)
  10. Eisenstein series for the Weil representation
    Journal of Number Theory, Vol. 193 (2018), pp. 74-90
  11. Shintani theta lifts of harmonic Maass forms (with Claudia Alfes-Neumann)
    Transactions of the AMS, accepted for publication (2019)
  12. Kronecker limit formulas for parabolic, hyperbolic, and elliptic Eisenstein series via Borcherds products (with Anna von Pippich and Fabian Völz)
    preprint (2017)
  13. Algebraic formulas for the coefficients of mock theta functions and Weyl vectors of Borcherds products (with Jan Hendrik Bruinier)
    Journal of Algebra, Vol 478 (2017), pp. 38–57
  14. On a theta lift related to the Shintani lift (with Claudia Alfes-Neumann)
    Advances in Mathematics, Vol. 328 (2018), pp. 858-889
  15. Nonvanishing and central critical values of twisted L-functions of cusp forms on average
    Functiones et Approximatio, Vol. 55, Issue 1 (2016), pp. 45-58
  16. Nonvanishing mod l of Fourier coefficients of Jacobi forms
    Research in Number Theory, Vol. 2, Issue 1 (2016), pp. 1-18
  17. Lifting newforms to vector valued modular forms for the Weil representation (with Fabian Völz)
    International Journal of Number Theory, Vol. 11, Issue 7 (2015), pp. 2199-2219
  18. Automorphic products of singular weight for simple lattices (with Moritz Dittmann and Heike Hagemeier)
    Mathematische Zeitschrift, Vol. 279, Issue 1 (2015), pp. 585-603

Theses

Impressum