Research

Publications

• Cycle integrals of meromorphic modular forms and Siegel theta functions
  preprint (2023)

• Laurent 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)
  preprint (2022)

• Harmonic weak Maass form and periods II (with Claudia Alfes-Neumann and Jan Hendrik Bruinier)
  preprint (2022)

• 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 Access

• Arithmetic 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 Access

• Meromorphic modular forms with rational cycle integrals (with Steffen Löbrich)
  International Mathematics Research Notices IMRN 2022(1), 312-342 (2020)
  Open Access

• Traces of reciprocal singular moduli (with Claudia Alfes-Neumann)
  Bulletin of the London Mathematical Society 52, 641-656 (2020)
  Open Access

• Twisted 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 Access

• 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)

• 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 Access

• Lifting 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

• 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)

Organization 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).