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Ralf Schmidt

Title: Chair

Department: Mathematics

College: College of Science

Curriculum Vitae

Curriculum Vitae Link

Education

  • PhD, University of Hamburg, 1998
    Major: Mathematics

Current Scheduled Teaching

MATH 6510.001Topics in AlgebraSpring 2025
MATH 6950.702Doctoral DissertationFall 2024

Previous Scheduled Teaching

MATH 6950.730Doctoral DissertationSpring 2024
MATH 5530.001Modern AlgebraSpring 2024 SPOT
MATH 6900.709Special ProblemsSpring 2024
MATH 6950.711Doctoral DissertationFall 2023
MATH 5520.001Modern AlgebraFall 2023 SPOT
MATH 5900.706Special ProblemsSpring 2023
MATH 5910.702Special ProblemsSpring 2023
MATH 5910.705Special ProblemsSpring 2023
MATH 6510.001Topics in AlgebraSpring 2023 SPOT
MATH 4520.001Introduction to Functions of a Complex VariableFall 2022 Syllabus SPOT
MATH 5400.002Introduction to Functions of a Complex VariableFall 2022 SPOT
MATH 5900.719Special ProblemsFall 2022
MATH 6700.001Selected Topics in Advanced MathematicsSpring 2022 SPOT
MATH 5910.702Special ProblemsSpring 2022
MATH 5520.001Modern AlgebraFall 2021 Syllabus SPOT
MATH 4900.702Special ProblemsFall 2021
MATH 5900.726Special ProblemsFall 2021
MATH 5900.705Special ProblemsSpring 2021
MATH 6510.001Topics in AlgebraSpring 2021 SPOT
MATH 3000.002Real Analysis IFall 2020 Syllabus SPOT
MATH 5900.703Special ProblemsFall 2020
MATH 5120.001Introduction to AnalysisSpring 2020
MATH 5110.001Introduction to AnalysisFall 2019 SPOT

Published Intellectual Contributions

    Appendix to journal article

  • Ryan, N.C., Tornaría, G., Schmidt, R. (2016). Formulas for central values of twisted spin L-functions attached to paramodular forms. Other. 85 (298) 907–929. http://dx.doi.org/10.1090/mcom/2988
  • Böcherer, S., Schmidt, R. (2005). On the Hecke operator U(p). Other. 45 (4) 807–829.
  • Book

  • Schmidt, R., Johnson-Leung, J., Roberts, B. (2024). Stable Klingen Vectors and Paramodular Newforms. 2342 xvii + 362 pp.. Springer Lecture Notes in Mathematics.
  • Roberts, B., Schmidt, R. (2007). Local newforms for GSp(4). 1918 viii+307. Springer, Berlin. http://dx.doi.org/10.1007/978-3-540-73324-9
  • Berndt, R., Schmidt, R. (1998). Elements of the representation theory of the Jacobi group. xiv+213. Birkhäuser/Springer Basel AG, Basel. http://dx.doi.org/10.1007/978-3-0348-0283-3
  • Book Chapter

  • Roberts, B., Schmidt, R. (2011). On the number of local newforms in a metaplectic representation. Arithmetic geometry and automorphic forms. 19 505–530. Int. Press, Somerville, MA.
  • Roberts, B., Schmidt, R. (2006). On modular forms for the paramodular groups. Automorphic forms and zeta functions. 334–364. World Sci. Publ., Hackensack, NJ. http://dx.doi.org/10.1142/9789812774415_0015!!!
  • Conference Proceeding

  • Schmidt, R., Pitale, A., Saha, A. (2017). A note on the growth of nearly holomorphic vector-valued Siegel modular forms. L-functions and Automorphic Forms.
  • Schmidt, R., Pitale, A., Saha, A. (2015). Representations of SL(2,R) and nearly holomorphic modular forms. Other. 1973 141-153. Research Institute for Mathematical Sciences, Kyoto University. http://www.kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/contents/1973.html
  • Journal Article

  • Schmidt, R., Roy, M., Yi, S. (2023). Dimension formulas for Siegel modular forms of level 4. Other. 69 759-840.
  • Schmidt, R., Pitale, A., Saha, A., Horinaga, S. (2022). The special values of the standard L-functions for GSp_{2n} × GL_{1}. Transactions of the American Mathematical Society. 375 (10) 6947–6982.
  • Schmidt, R., Pitale, A., Saha, A. (2021). Integrality and cuspidality of pullbacks of nearly holomorphic Siegel Eisenstein series. Other. 66 405-434.
  • Schmidt, R., Pitale, A., Saha, A. (2021). Lowest weight modules of Sp_4(R) and nearly holomorphic Siegel modular forms. Other. 61 745-814.
  • Schmidt, R., Roy, M., Yi, S. (2021). On counting cuspidal automorphic representations for GSp(4). Forum Mathematicum. 33 (3) 821-843.
  • Schmidt, R. (2020). Paramodular forms in CAP representations of GSp(4). Acta Arithmetica. 194 319-340.
  • Schmidt, R., Pitale, A., Saha, A. (2020). On the standard L-function for GSp_{2n} \times GL_1 and algebraicity of symmetric fourth L-values for GL_2. Other.
  • Schmidt, R., Dickson, M., Pitale, A., Saha, A. (2020). Explicit refinements of Bocherer’s conjecture for Siegel modular forms of squarefree level. Journal of the Mathematical Society of Japan. 72 (1) 251-301.
  • Schmidt, R., Shukla, A. (2019). On Klingen Eisenstein series with level in degree two. Other. 34 (3)
  • Schmidt, R., Poor, C., Yuen, D.S. (2019). Paramodular forms of level 16 and supercuspidal representations. Moscow Journal of Combinatorics and Number Theory. 8 (4)
  • Pitale, A., Schmidt, R., Farmer, D., Ryan, N. (2019). Analytic L-functions: Definitions, Theorems, and Connections. Other.
  • Schmidt, R., Poor, C., Yuen, D.S. (2018). Paramodular forms of level 8 and weights 10 and 12. Other. 14 417-467.
  • Schmidt, R., Turki, S. (2018). Triply imprimitive representations of GL(2). Other. 146 971-981.
  • Schmidt, R., Tran, L. (2018). Zeta integrals for GSp(4) via Bessel models. Other. 296 437–480.
  • Schmidt, R. (2017). Archimedean aspects of Siegel modular forms of degree 2. Other.
  • Stewart, S., Schmidt, R. (2017). Accommodation in the formal world of mathematical thinking. Other. 48 (1) 40-49.
  • Schmidt, R. (2017). Packet structure and paramodular forms. Transactions of the American Mathematical Society.
  • Schmidt, R., Pitale, A., Saha, A. (2017). Local and global Maass relations. Other. 2017 1-23.
  • Roberts, B., Schmidt, R. (2016). Some results on Bessel functionals for GSp(4). Other. 21 467–553.
  • Schmidt, R., Pitale, A. (2014). Bessel models for GSp(4): Siegel vectors of square-free level. Other. 136 134-164.
  • Schmidt, R., Pitale, A., Saha, A. (2014). Transfer of Siegel cusp forms of degree 2. Other. 232 (1090) 109.
  • Narita, H., Pitale, A., Schmidt, R. (2013). Irreducibility criteria for local and global representations. Other. 141 (1) 55–63. http://dx.doi.org/10.1090/S0002-9939-2012-11438-8
  • Farmer, D.W., Pitale, A., Ryan, N.C., Schmidt, R. (2013). Survey article: Characterizations of the Saito-Kurokawa lifting. Other. 43 (6) 1747–1757. http://dx.doi.org/10.1216/RMJ-2013-43-6-1747
  • Saha, A., Schmidt, R. (2013). Yoshida lifts and simultaneous non-vanishing of dihedral twists of modular $L$-functions. Other. 88 (1) 251–270. http://dx.doi.org/10.1112/jlms/jdt008
  • Farmer, D.W., Ryan, N.C., Schmidt, R. (2011). Testing the functional equation of a high-degree Euler product. Other. 253 (2) 349–366. http://dx.doi.org/10.2140/pjm.2011.253.349
  • Schmidt, R. (2009). A remark on a paper of Ibukiyama and Skoruppa. Other. 79 (2) 189–191. http://dx.doi.org/10.1007/s12188-009-0026-z
  • Pitale, A., Schmidt, R. (2009). Bessel models for lowest weight representations of GSp(4,R). Other. (7) 1159–1212.
  • Pitale, A., Schmidt, R. (2009). Integral representation for L-functions for GSp_4 x GL_2. Other. 129 (6) 1272–1324. http://dx.doi.org/10.1016/j.jnt.2009.01.017
  • Pitale, A., Schmidt, R. (2009). Ramanujan-type results for Siegel cusp forms of degree 2. Other. 24 (1) 87–111.
  • Asgari, M., Schmidt, R. (2008). On the adjoint L-function of the p-adic GSp(4). Other. 128 (8) 2340–2358. http://dx.doi.org/10.1016/j.jnt.2007.08.012
  • Pitale, A., Schmidt, R. (2008). Sign changes of Hecke eigenvalues of Siegel cusp forms of degree 2. Other. 136 (11) 3831–3838. http://dx.doi.org/10.1090/S0002-9939-08-09364-7
  • Schmidt, R. (2007). On classical Saito-Kurokawa liftings. Other. 604 211–236. http://dx.doi.org/10.1515/CRELLE.2007.024
  • Schmidt, R. (2005). Iwahori-spherical representations of GSp(4) and Siegel modular forms of degree 2 with square-free level. Other. 57 (1) 259–293. http://projecteuclid.org/euclid.jmsj/1160745825
  • Schmidt, R. (2005). The Saito-Kurokawa lifting and functoriality. Other. 127 (1) 209–240. http://muse.jhu.edu/journals/american_journal_of_mathematics/v127/127.1schmidt.pdf!!!
  • Schmidt, R. (2003). On the spin L-function of Ikeda’s lifts. Other. 52 (1) 1–46.
  • Schmidt, R. (2002). On the Archimedean Euler factors for spin $L$-functions. Other. 72 119–143. http://dx.doi.org/10.1007/BF02941668
  • Schmidt, R. (2002). Some remarks on local newforms for GL(2). Other. 17 (2) 115–147.
  • Schmidt, R. (2001). Local newforms with global applications in the Jacobi theory. Other. 86 (2) 253–283. http://dx.doi.org/10.1006/jnth.2000.2575
  • Asgari, M., Schmidt, R. (2001). Siegel modular forms and representations. Other. 104 (2) 173–200. http://dx.doi.org/10.1007/PL00005869
  • Schmidt, R. (1999). On old and new Jacobi forms. Other. 79 (1) 29–57. http://dx.doi.org/10.1006/jnth.1999.2423
  • Schmidt, R. (1998). Spherical representations of the Jacobi group. Other. 68 273–296. http://dx.doi.org/10.1007/BF02942566

Contracts, Grants and Sponsored Research

  • Keaton, R. (Principal), Schmidt, R. (Co-Principal), "Automorphic Forms Workshop 2017," sponsored by U.S. Department of Defense, National Security Agency, Federal, Funded. (2017 - 2017).
  • Schmidt, R. (Principal), Martin, K.L. (Co-Principal), Pitale, A. (Co-Principal), "Collaborative Research: Texas-Oklahoma Representations and Automorphic Forms (TORA)," sponsored by National Science Foundation, Federal, Funded. (2013 - 2015).
  • Fellowship

  • Schmidt, R., "Computational Aspects of the Langlands Program," sponsored by ICERM, Federal, Funded. (2015 - 2015).
  • Grant - Research

  • Schmidt, R. (Principal), "New theoretical and computational methods for Siegel modular forms," sponsored by Simons Foundation, Private, $30000 Funded. (2019 - 2024).
  • Pitale, A. (Principal), Martin, K.L. (Co-Principal), Schmidt, R. (Co-Principal), "Collaborative Research: Texas-Oklahoma Representations and Automorphic Forms (TORA)," sponsored by National Science Foundation, Federal, $13000 Funded. (2016 - 2018).
  • Richter, O.K. (Principal), Schmidt, R. (Principal), "Lifts and congruences of automorphic forms," sponsored by Simons Foundation, FOND, Funded. (2021 - 2026).
  • Allaart, P. (Principal), Schmidt, R. (Principal), "Non-integer base expansions and multifractal analysis," sponsored by Simons Foundation, FOND, Funded. (2020 - 2025).
  • Krueger, J.E. (Principal), Schmidt, R. (Principal), "Forcing and Consistency Results," sponsored by Simons Foundation, FOND, Funded. (2019 - 2024).
  • Schmidt, R. (Principal), "New theoretical and computational methods for Siegel modular forms," sponsored by Simons Foundation, FOND, Funded. (2019 - 2024).
  • Urbanski, M. (Principal), Schmidt, R. (Principal), "Random and Conformal Dynamical Systems," sponsored by Simons Foundation, FOND, Funded. (2018 - 2023).
  • Conley, C.H. (Principal), Schmidt, R. (Principal), "Contact Schwarzians, Extremal Projectors, and Infinitesimal Characters," sponsored by Simons Foundation, FOND, Funded. (2017 - 2022).
  • Shepler, A.V. (Principal), Schmidt, R. (Principal), "Deformations," sponsored by Simons Foundation, FOND, Funded. (2016 - 2022).
  • Richter, O.K. (Principal), Schmidt, R. (Principal), "Real-Analytic Automorphic Forms and Applications," sponsored by Simons Foundation, FOND, Funded. (2016 - 2022).
  • Pitale, A. (Principal), Martin, K.L. (Co-Principal), Schmidt, R. (Co-Principal), "Collaborative Research: Texas-Oklahoma Representations and Automorphic Forms (TORA)," sponsored by National Science Foundation, Federal, Funded. (2016 - 2018).
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Overall
Summative Rating
Challenge and
Engagement Index
Response Rate

out of 5

out of 7
%
of
students responded
  • Overall Summative Rating (median):
    This rating represents the combined responses of students to the four global summative items and is presented to provide an overall index of the class’s quality. Overall summative statements include the following (response options include a Likert scale ranging from 5 = Excellent, 3 = Good, and 1= Very poor):
    • The course as a whole was
    • The course content was
    • The instructor’s contribution to the course was
    • The instructor’s effectiveness in teaching the subject matter was
  • Challenge and Engagement Index:
    This rating combines student responses to several SPOT items relating to how academically challenging students found the course to be and how engaged they were. Challenge and Engagement Index items include the following (response options include a Likert scale ranging from 7 = Much higher, 4 = Average, and 1 = Much lower):
    • Do you expect your grade in this course to be
    • The intellectual challenge presented was
    • The amount of effort you put into this course was
    • The amount of effort to succeed in this course was
    • Your involvement in course (doing assignments, attending classes, etc.) was
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