Research Interests

Automorphic representations, Siegel modular forms, L-functions.

 Publications and Preprints

Global liftings between inner forms of GSp(4) (with R. Weissauer).
Preprint, (2021). Submitted.
ArXiV.

Regular poles of local L-functions for GSp(4) with respect to split Bessel models (the subregular cases) (with R. Weissauer).
Preprint, (2018). Submitted.
ArXiV.

Exceptional poles of local spinor L-functions of GSp(4) with anisotropic Bessel models (with R. Weissauer).
Preprint, (2018). Submitted.
ArXiV.

Regular poles for spinor L-series attached to split Bessel models of GSp(4) (with R. Weissauer).
Preprint, (2017). Submitted.
ArXiV.

Parahoric Restriction for GSp(4).
Algebras and Representation Theory, 21(1):145-161, (2017).
ArXiV

Multiplicity one for certain paramodular forms of genus two (with R. Weissauer).
In: J. H. Bruinier and W. Kohnen (editors), L-Functions and Automorphic Forms. Contributions in Mathematical and Computational Sciences, vol. 10. Springer, (2017).
ArXiV
Remark: Our hypothesis 1.1 was shown in Non-vanishing of twists of GL_4(A_Q) L-functions by Radziwiłł and Yang in 2023.

Genericity under parahoric restriction (with M. Mishra).
manuscripta mathematica, 152(1), 241-245, (2017).
ArXiV

Invariant Vectors for Weak Endoscopic and Saito-Kurokawa Lifts to GSp(4).
Preprint, (2013).
ArXiV

Parahoric restriction for GSp(4) and the inner cohomology of Siegel modular threefolds.
PhD Thesis, defended 27th of May, 2016.
doi:10.11588/heidok.00021401

The anisotropic Theta-lift for GSp(4,F). Diploma Thesis, (2012).

  Teaching (in german)

• Winter 2021: Seminar Analytic Number Theory
  
• Summer 2021: Tutorials for Riemann Surfaces (Prof. Weissauer) Seminar Modulformen and L-Funktionen
  
• Winter 2020/21: Tutorials for Complex Calculus 2 (Prof. Weissauer) Seminar Modulformen and L-Funktionen
  
• Summer 2020: Tutorials for Complex Calculus 1 (Prof. Weissauer) Seminar Modular forms
  
• Winter 2019/20: Lecture Construction of L-Functions
  
• Summer 2019: Seminar Combinatorics and Representation Theory


• Winter 2018/19: No teaching
  
• Summer 2018: Seminar Representatin Theory of p-adic Lie groups
• Tutorials for Elementary Number Theory (Prof. Weissauer)


• Summer 2017: Lecture on Automorphic Forms


• Winter semester 2014/15: Tutorials for Mathematics for Physicists III by Prof. Weissauer Seminar on Calculus


• Summer semester 2014: Tutorials for Mathematics for Physicists II by Prof. Weissauer Seminar on Mathematical Methods in Physics


• Winter semester 2012/13: Tutorials for Mathematics for Physicists III by Dr. Busam


• Sommersemester 2012: Tutorials for Mathematics for Physicists II by Dr. Busam

 Contact

Office hours: Tuesday 14:00-15:00 and by appointment

Mathematikon, Im Neuenheimer Feld 205
69120 Heidelberg
Germany

Phone: 06221 6577415
E-Mail: mroesner(a)mathi.uni-heidelberg.de

 Links

Prof. Dr. Rainer Weissauer
Prof. Dr. Thomas Krämer
Prof. Dr. Manish Mishra
Dr. Thorsten Heidersdorf
Dr. Kathrin Maurischat
Dr. Uwe Weselmann

DFG Research group 1920 "Symmetrie, Geometrie und Arithmetik" Heidelberg/Darmstadt

Siegel Modular of genus two

Dimension formulas for spaces of Siegel modular forms of genus two

 Other

Statement of Inclusiveness

ORCID ID: https://orcid.org/0000-0001-9903-1015
Erdős number: 4.