Ralf Schmidt

• Math 2423: Calculus II (Spring 2008)
• Math 2443: Calculus IV (Spring 2008)
• Math 6393: Lie Groups and Lie Algebras II (Spring 2008)

All of the following material is collaborative work with Brooks Roberts.

• New vectors for GSp(4): a conjecture and some evidence.
• Surikaisekikenkyusho Kokyuroku (Research Institute for Mathematical Sciences, Kyoto University) 1338 (2003), 107-121
• pdf     proceedings
• On modular forms for the paramodular group.
• In: Automorphic Forms and Zeta Functions. Proceedings of the Conference in Memory of Tsuneo Arakawa. World Scientific, 2006
• pdf
• Local Newforms for GSp(4).
• Springer Lecture Note in Mathematics, vol. 1918 (2007)
• pdf
• An alternative proof of a theorem on local newforms for GSp(4).
• Proceedings of the 9th Autumn Workshop on Number Theory, Hakuba, Japan, 2006
• pdf     conference web page
• A decomposition of the spaces $S_k(\Gamma_0(N))$ in degree 2 and the construction of hypercuspidal modular forms.
• Proceedings of the 9th Autumn Workshop on Number Theory, Hakuba, Japan, 2006
• pdf     conference web page
• Tables for Representations of GSp(4).
• These are several tables containing information on the p-adic representation theory of the group GSp(4). Feel free to use the tables if you need them.
• pdf     latex

gsp4.org is a new website established in collaboration with Brooks Roberts and supported through NSF grants #0454809 and #0400837 and by the Department of Mathematics of the University of Oklahoma. Its goal is to provide bibliographical information on the existing literature on GSp(4), including all aspects of the representation theory of this group and related topics like Siegel modular forms of degree two. The database was opened to the public on Feb. 14, 2007, at which point it contained 1262 articles and books.

If you have material which you think should be listed on gsp4.org, please let us know. We welcome any comments.

• Joint with Rolf Berndt: Elements of the Representation Theory of the Jacobi Group.
• Birkhäuser, Progress in Mathematics 163, Boston 1998
• Spherical representations of the Jacobi group.
• Abh. Math. Sem. Univ. Hamburg 68 (1998), 273-296
• On old and new Jacobi forms.
• J. Number Theory 79 (1999), 29-57
• pdf
• Special representations on GSp(4,R).
• Manuskripte der Forschergruppe Arithmetik, Nr. 10, Mannheim, Heidelberg, 2000
• ps
• Local newforms with global applications in the Jacobi theory.
• J. Number Theory 86 (2001), 253-283
• pdf
• Joint with Mahdi Asgari: Siegel modular forms and representations.
• Manuscripta Math. 104 (2001), 173-200
• pdf
• On the spin L-function of Ikeda's lifts.
• Comment. Math. Univ. St. Paul 52 (2003), 1-46
• pdf
• Some remarks on local newforms for GL(2).
• J. Ramanujan Math. Soc. 17 (2002), 115-147
• pdf
• On the archimedean Euler factors for spin L-functions.
• Abh. Math. Sem. Univ. Hamburg 72 (2002), 119-143
• pdf
• On Siegel modular forms of degree 2 with square-free level.
• Surikaisekikenkyusho Kokyuroku (Research Institute for Mathematical Sciences, Kyoto University) 1338 (2003), 155-169
• pdf     proceedings
• The Saito-Kurokawa lifting and functoriality.
• Amer. J. Math. 127 (2005), 209-240
• pdf
• Iwahori-spherical representations of GSp(2) and Siegel modular forms of degree 2 with square-free level.
• J. Math. Soc. Japan 57 (2005), 259-293
• pdf
• Joint with Ameya Pitale: Ramanujan-type results for Siegel cusp forms of degree 2.
• Preprint (2006)
• pdf
• Joint with Ameya Pitale: Sign changes of Hecke eigenvalues of Siegel cusp forms of degree 2.
• Preprint (2007)
• pdf
• Joint with Mahdi Asgari: On the adjoint L-function of the p-adic GSp(4).
• Preprint (2007)
• pdf
• On classical Saito-Kurokawa liftings.
• J. Reine Angew. Math. 604 (2007), 211-236
• pdf

• Lineare Algebra (Sorry, this is in German.)
• pdf