# Markus Schwagenscheidt

PostDoc in Mathematics

## Publications

Here you can find a list of my research articles.

- On the rationality of cycle integrals of meromorphic modular forms (with Claudia Alfes-Neumann and Kathrin Bringmann), preprint (2018), arxiv
- Holomorphic Borcherds products of singular weight for simple lattices of arbitrary level (with Sebastian Opitz), preprint (2018), arxiv
- Borcherds lifts of harmonic Maass forms and modular integrals, preprint (2018), arxiv
- A converse theorem for Borcherds products on X_0(N) (with Jan Hendrik Bruinier), preprint (2018), arxiv
- On the modular completion of certain non-holomorphic generating functions (with Kathrin Bringmann and Stephan Ehlen), preprint (2018), arxiv
- Eisenstein series for the Weil representation, Journal of Number Theory, Vol. 193 (2018), pp 74-90, arxiv
- Shintani theta lifts of harmonic Maass forms (with Claudia Alfes-Neumann), preprint (2018), arxiv
- Kronecker limit formulas for parabolic, hyperbolic, and elliptic Eisenstein series via Borcherds products (with Anna-Maria von Pippich and Fabian Völz), preprint (2017), arxiv
- 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
- On a theta lift related to the Shintani lift (with Claudia Alfes-Neumann), Advances in Mathematics, Vol. 328 (2018), pp. 858-889, arxiv
- 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
- Nonvanishing mod l of Fourier coefficients of Jacobi forms, Research in Number Theory, Vol. 2, Issue 1 (2016), pp. 1-18 (open access)
- 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
- 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

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