Ralf Schmidt

Texas-Oklahoma Representations and Automorphic Forms is a new regional conference series organized jointly by UNT, OSU and OU and supported by NSF grants DMS-1132586 and DMS-1132510. The first meeting, TORA I, was held September 17-18, 2011, at UNT, TORA II was held April 6-8, 2012, at OSU, and TORA III was held September 28-30, 2012, at OU. TORA IV is planned for March 23-24, 2013, at UNT. The predecessor to the TORA conference series was this event.

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
On the number of local newforms in a metaplectic representation.
In: Arithmetic Geometry and Automorphic Forms, International Press and Higher Education Press, 2011
pdf

Joint with Ameya Pitale: Bessel models for lowest weight representations of GSp(4,R).
Int. Math. Res. Not. 2009, 1159-1212
pdf
Joint with Ameya Pitale: Integral representation for L-functions for GSp(4) x GL(2).
J. Number Theory 129 (2009), 1272-1324
pdf
Joint with Ameya Pitale and Abhishek Saha: Transfer of Siegel cusp forms of degree 2.
Preprint, 2011
pdf
Joint with Ameya Pitale: Bessel models for GSp(4): Siegel vectors of square-free level.
Preprint, 2012
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
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: Sign changes of Hecke eigenvalues of Siegel cusp forms of degree 2.
Proc. Amer. Math. Soc. 136 (2008), 3831-3838
pdf
Joint with Ameya Pitale: Ramanujan-type results for Siegel cusp forms of degree 2.
J. Ramanujan Math. Soc. 24 (2009), 87-111
pdf
A remark on a paper of Ibukiyama and Skoruppa.
Abh. Math. Sem. Univ. Hamburg 79 (2009), 189-191
pdf
Joint with Abhishek Saha: Yoshida lifts and simultaneous non-vanishing of dihedral twists of modular L-functions.
J. London Math. Soc (2013); doi: 10.1112/jlms/jdt008
pdf
Joint with David Farmer and Nathan Ryan: Testing the functional equation of a high-degree Euler product.
Pacific J. Math 253 (2011), 349-366
pdf

The Sato-Tate Pages. An easy introduction to the Sato-Tate conjecture, created in collaboration with Julian Rosen. Contains some historical remarks.
Lineare Algebra (Sorry, this is in German.)
pdf
I used to be the webmaster for the math department. For any Internet related questions, I recommend this tutorial. You might also want to watch this instructional video.