Markus Schwagenscheidt

PostDoc in Mathematics

Publications

Here you can find a list of my research articles.

  1. A converse theorem for Borcherds products on X_0(N) (with Jan Hendrik Bruinier), preprint, 2018
  2. On the modular completion of certain non-holomorphic generating functions (with Kathrin Bringmann and Stephan Ehlen), preprint (2018), arxiv
  3. Eisenstein series for the Weil representation, accepted for publication in Journal of Number Theory (2018), arxiv
  4. Shintani theta lifts of harmonic Maass forms (with Claudia Alfes-Neumann), preprint (2018), arxiv
  5. Kronecker limit formulas for parabolic, hyperbolic, and elliptic Eisenstein series via Borcherds products (with Anna-Maria von Pippich and Fabian Völz), preprint (2017), arxiv
  6. 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, arxiv
  7. On a theta lift related to the Shintani lift (with Claudia Alfes-Neumann), Advances in Mathematics, Vol. 328 (2018), pp. 858-889, arxiv
  8. Nonvanishing and central critical values of twisted L-functions of cusp forms on average, Functiones et Approximatio, Vol. 55, Issue 1, pp. 45-58 (2016), arxiv
  9. Nonvanishing mod l of Fourier coefficients of Jacobi forms, Research in Number Theory, Vol. 2, Issue 1 (2016), pp. 1-18 (open access)
  10. 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
  11. Automorphic products of singular weight for simple lattices (with Moritz Dittmann and Heike Hagemeier), Mathematische Zeitschrift, Vol. 279, Issue 1 (2015), pp. 585-603, arxiv

Theses

  1. Regularized Theta Lifts of Harmonic Maass Forms (supervisor: Jan Hendrik Bruinier), PhD thesis, TU Darmstadt, 2018
  2. Automorphe Produkte singulären Gewichts zu einfachen Gittern von Primzahlstufe (supervisor: Nils Scheithauer), Master's thesis, TU Darmstadt, 2013
Impressum