Markus Schwagenscheidt

PostDoc in Mathematics

Publications

Here you can find a list of my research articles.

  1. Theta lifts for Lorentzian lattices and coefficients of mock theta functions (with Jan Hendrik Bruinier)
    preprint (2019)
  2. Meromorphic modular forms with rational cycle integrals (with Steffen Löbrich)
    preprint (2019)
  3. Traces of reciprocal singular moduli (with Claudia Alfes-Neumann)
    preprint (2019)
  4. Twisted component sums of vector-valued modular forms (with Brandon Williams)
    Abhandlungen aus dem mathematischen Seminar der Universität Hamburg 89, 151-168 (2019)
  5. 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
  6. 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
  7. 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
  8. Borcherds lifts of harmonic Maass forms and modular integrals
    Mathematische Annalen 375(3), 1615-1647 (2019)
  9. 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
  10. On the modular completion of certain non-holomorphic generating functions (with Kathrin Bringmann and Stephan Ehlen)
    International Mathematics Research Notices IMRN, accepted for publication (2019)
  11. Eisenstein series for the Weil representation
    Journal of Number Theory 193, 74-90 (2018)
  12. Shintani theta lifts of harmonic Maass forms (with Claudia Alfes-Neumann)
    Transactions of the AMS, accepted for publication (2019)
  13. Kronecker limit formulas for parabolic, hyperbolic, and elliptic Eisenstein series via Borcherds products (with Anna von Pippich and Fabian Völz)
    preprint (2017)
  14. Algebraic formulas for the coefficients of mock theta functions and Weyl vectors of Borcherds products (with Jan Hendrik Bruinier)
    Journal of Algebra 478, 38–57 (2017)
  15. On a theta lift related to the Shintani lift (with Claudia Alfes-Neumann)
    Advances in Mathematics 328, 858-889 (2018)
  16. Nonvanishing and central critical values of twisted L-functions of cusp forms on average
    Functiones et Approximatio 55(1), 45-58 (2016)
  17. Nonvanishing mod l of Fourier coefficients of Jacobi forms
    Research in Number Theory 2(1), 1-18 (2016)
  18. Lifting newforms to vector valued modular forms for the Weil representation (with Fabian Völz)
    International Journal of Number Theory 11(7), 2199-2219 (2015)
  19. Automorphic products of singular weight for simple lattices (with Moritz Dittmann and Heike Hagemeier)
    Mathematische Zeitschrift 279(1), 585-603 (2015)

Theses

Impressum