Research
Publications
Cycle integrals of meromorphic Hilbert modular forms (with Claudia Alfes, Baptiste Depouilly, and Paul Kiefer)
preprint (2024)Twisted traces of modular functions on hyperbolic 3-space (with Sebastián Herrero, Özlem Imamoglu, and Anna-Maria von Pippich)
preprint (2024)Special values of Green's functions on hyperbolic 3-space (with Sebastián Herrero, Özlem Imamoglu, and Anna-Maria von Pippich)
preprint (2024)Cycle integrals of meromorphic modular forms and Siegel theta functions
Ramanujan Journal (2024)
Open AccessLaurent expansions of meromorphic modular forms (with Gabriele Bogo and Yingkun Li)
preprint (2023)Binary theta functions and Borcherds products (with Brandon Williams)
Journal of Number Theory 249, 441-461 (2023)Harmonic Maass forms associated with CM newforms (with Stephan Ehlen and Yingkun Li)
Journal für die reine und angewandte Mathematik
Accepted for publication (2024)Harmonic weak Maass form and periods II (with Claudia Alfes-Neumann and Jan Hendrik Bruinier)
Mathematische Annalen
Open Access (2024)Cycle integrals of the Parson Poincaré series and intersection angles of geodesics on modular curves (with Alessandro Lägeler)
Acta Arithmetica 206, 61-74 (2022)Mock modular forms with integral Fourier coefficients (with Yingkun Li)
Advances in Mathematics 399 (2022)
Open AccessArithmetic properties of Fourier coefficients of meromorphic modular forms (with Steffen Löbrich)
Algebra & Number Theory 15-9, 2381-2401 (2021)Locally harmonic Maass forms and periods of meromorphic modular forms (with Steffen Löbrich)
Transactions of the AMS 375, 501-524 (2022)Cycle integrals of meromorphic modular forms and coefficients of harmonic Maass forms (with Claudia Alfes-Neumann, Kathrin Bringmann, and Joshua Males)
Journal of Mathematical Analysis and Applications 497(2) (2021)Rigidity of elliptic genera: from number theory to geometry and back (with Kathrin Bringmann, Alexander Caviedes Castro, and Silvia Sabatini)
International Mathematics Research Notices IMRN 2022(22), 17475–17533 (2021)Theta lifts for Lorentzian lattices and coefficients of mock theta functions (with Jan Hendrik Bruinier)
Mathematische Zeitschrift 297, 1633-1657 (2021)
Open AccessMeromorphic modular forms with rational cycle integrals (with Steffen Löbrich)
International Mathematics Research Notices IMRN 2022(1), 312-342 (2020)
Open AccessTraces of reciprocal singular moduli (with Claudia Alfes-Neumann)
Bulletin of the London Mathematical Society 52, 641-656 (2020)
Open AccessTwisted component sums of vector-valued modular forms (with Brandon Williams)
Abhandlungen aus dem mathematischen Seminar der Universität Hamburg 89, 151-168 (2019)Identities of cycle integrals of weak Maass forms (with Claudia Alfes-Neumann)
Ramanujan Journal 52, 683-688 (2020)On the rationality of cycle integrals of meromorphic modular forms (with Claudia Alfes-Neumann and Kathrin Bringmann)
Mathematische Annalen 376, 243-266 (2020)Holomorphic Borcherds products of singular weight for simple lattices of arbitrary level (with Sebastian Opitz)
Proceedings of the AMS 147, 4639-4653 (2019)Borcherds lifts of harmonic Maass forms and modular integrals
Mathematische Annalen 375(3), 1615-1647 (2019)A converse theorem for Borcherds products on X0(N) (with Jan Hendrik Bruinier)
Nagoya Mathematical Journal 240, 237-256 (2020)On the modular completion of certain non-holomorphic generating functions (with Kathrin Bringmann and Stephan Ehlen)
International Mathematics Research Notices IMRN 2021(8), 6331-6372 (2021)Eisenstein series for the Weil representation
Journal of Number Theory 193, 74-90 (2018)Shintani theta lifts of harmonic Maass forms (with Claudia Alfes-Neumann)
Transactions of the AMS 374, 2297-2339 (2021)Kronecker limit formulas for parabolic, hyperbolic, and elliptic Eisenstein series via Borcherds products (with Anna von Pippich and Fabian Völz)
Journal of Number Theory 225, 18-58 (2021)
Open AccessAlgebraic 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)On a theta lift related to the Shintani lift (with Claudia Alfes-Neumann)
Advances in Mathematics 328, 858-889 (2018)Nonvanishing and central critical values of twisted L-functions of cusp forms on average
Functiones et Approximatio 55(1), 45-58 (2016)Nonvanishing mod l of Fourier coefficients of Jacobi forms
Research in Number Theory 2(1), 1-18 (2016)
Open AccessLifting newforms to vector valued modular forms for the Weil representation (with Fabian Völz)
International Journal of Number Theory 11(7), 2199-2219 (2015)Automorphic products of singular weight for simple lattices (with Moritz Dittmann and Heike Hagemeier)
Mathematische Zeitschrift 279(1), 585-603 (2015)
Theses

PhD Thesis, TU Darmstadt (2018) | Supervisor: Jan Hendrik Bruinier

Master's Thesis, TU Darmstadt (2013) | Supervisor: Nils Scheithauer
Organisation of Research Seminars and Conferences
From 2020 to 2022 I co-organized the International Seminar on Automorphic Forms (with Michalis Neururer and Yingkun Li).
In August 2022 I co-organized the Conference Modular forms in number theory and beyond (with Claudia Alfes-Neumann and Michael Mertens).