Dr. Kathrin Maurischat
Margarete von Wrangell Fellow
(If you wanted to reach the website of Dr. Andreas Maurischat, please click here.)
Lehrstuhl A für Mathematik
RWTH Aachen University
Templergraben 55
D-52062 Aachen
Email: maurischat (at mathi.uni-heidelberg.de) , maurischat (at matha.rwth-aachen.de)
I am on the job market!
Teaching
Publications
- Construction of Poincaré-type series by generating kernels. (joint with Yasemin Kara, Moni Kumari, Jolanta Marzec, Andreea Mocanu, Lejla Smajlovic, 2020) appears in Research Directions in Number Theory (Association for Women in Mathematics Series), Springer.
- Sturm's operator acting on vector valued K-types. Mathematische Nachrichten. 2020;1–20.
- Superbinomial coefficients. (joint with Rainer Weissauer) submitted Preprint (2019).
- Super Catalan numbers and the Euler operator. (joint with Rainer Weissauer) submitted Preprint (2019).
- On unitary groups associated to division algebras of degree three. submitted Preprint (2017/19).
- Properties of Sturm's formula. in: Automorphic Forms and Related Topics, Contemporary Mathematics, (2019).
- Sturm's operator for scalar weight in arbitrary genus. Int. J. Number Theory, Vol. 13, No. 10, pp. 2677-2686 (2017), DOI: 10.1142/S1793042117501482.
- Phantom holomorphic projections arising from Sturm's formula. (joint with Rainer Weissauer, 2016), The Ramanujan J. (2018), 47(1), 21-46, DOI 10.1007/s11139-018-0033-8.
- On holomorphic projection for symplectic groups.
J. Number Theory, Vol. 182 (2018), 131-178, http://dx.doi.org/10.1016/j.jnt.2017.06.005
(Older version: On holomorphic projection for Sp(2,R) - The case of weight (4,4).). - A generalization of S. Zhang's local Gross-Zagier formula for GL(2). Directions in Number Theory, Proceedings of the 2014 WIN3 Workshop, 161-196, Springer (2016).
- Explicit construction of Ramanujan bigraphs. (joint with Cristina Ballantine, Brooke Feigon, Janne Kool, Radhika Ganapathy, and Amy Wooding) Women in Numbers Europe: Research Directions in Number Theory, Association for Women in Mathematics Series, 1-16, Springer (2015).
- Casimir operators for symplectic groups. Int. J. Number Theory, Vol. 8, No. 4 (2012), 923-932.
- Eine Verallgemeinerung der lokalen Gross-Zagier-Formeln von Zhang. Dissertation (2008), http://archiv.ub.uni-heidelberg.de/volltextserver/volltexte/2008/8420/pdf/maurischat_diss.pdf.
- Einige Orbitalintegrale von Funktionen der Iwahori-Hecke-Algebra reduktiver Gruppen kleinen Rangs. Diplomarbeit (2004)