Ralf Schmidt
University of North Texas
Mathematics
Email:

Education

PhD, University of Hamburg, 1998.
Major: Mathematics

Teaching

Teaching Experience

University of North Texas
MATH 3000, Real Analysis I, 1 course.
MATH 4520, Introduction to Functions of a Complex Variable, 1 course.
MATH 4900, Special Problems, 1 course.
MATH 5110, Introduction to Analysis, 1 course.
MATH 5120, Introduction to Analysis, 1 course.
MATH 5400, Introduction to Functions of a Complex Variable, 1 course.
MATH 5520, Modern Algebra, 2 courses.
MATH 5530, Modern Algebra, 1 course.
MATH 5900, Special Problems, 5 courses.
MATH 5910, Special Problems, 3 courses.
MATH 6510, Topics in Algebra, 2 courses.
MATH 6700, Selected Topics in Advanced Mathematics, 1 course.
MATH 6900, Special Problems, 1 course.
MATH 6950, Doctoral Dissertation, 2 courses.

Teaching at Other Institutions

University of Oklahoma, Intro to Analysis II, MATH 4443, Spring 2019.

University of Oklahoma, Differential and Integral Calculus III, MATH 2934, Fall 2018.

University of Oklahoma, Intro to Analysis I, MATH 4433, Fall 2018.

University of Oklahoma, Differential and Integral Calculus II, MATH 2924, Spring 2018.

University of Oklahoma, Intro to Abstract Algebra II, MATH 4333, Spring 2018.

University of Oklahoma, Intro to Abstract Algebra I, MATH 4323, Fall 2017.

University of Oklahoma, Intro to Ordinary Differential Equations, MATH 3113, Fall 2017.

Directed Student Learning

Doctoral Advisory Committee Chair, Mathematics. (August 2021 – Present).

Doctoral Advisory Committee Chair, Mathematics. (August 2021 – Present).

Master's Thesis Committee Chair, Mathematics. (August 2021 – March 28, 2023).

Doctoral Advisory Committee Member, Mathematics. (2021 – March 22, 2023).

Doctoral Advisory Committee Member, Mathematics. (May 2021 – March 20, 2023).

Doctoral Advisory Committee Member, Mathematics. (October 2022 – February 22, 2023).

Directed Individual/Independent Study, Mathematics. (August 2020 – December 2021).

Other, Mathematics. (2019 – 2019).

Doctoral Advisory Committee Chair,"Paramodular forms coming from elliptic curves," Mathematics. (2016 – 2019).

Doctoral Advisory Committee Chair,"K-types and invariants for the representations of GSp(4, R)," Mathematics. (2015 – 2019).

Doctoral Advisory Committee Chair,"L-factors for GSp(4) via Bessel models," Mathematics. (2014 – 2019).

Doctoral Advisory Committee Chair,"Klingen vectors of level 2 in non-archimedean representations of the group GSp(4)," Mathematics. (2014 – 2019).

Other, Mathematics. (2018 – 2018).

Doctoral Advisory Committee Chair,"On Klingen Eisenstein series with levels," Mathematics. (2014 – 2018).

Other, Mathematics. (2017 – 2017).

Doctoral Advisory Committee Chair,"The representations of p-adic fields associated to elliptic curves," Mathematics. (2011 – 2015).

Doctoral Advisory Committee Chair,"Invariant vectors and level raising operators in representations of the p-adic group GL(3)," Mathematics. (2009 – 2012).

Doctoral Advisory Committee Chair,"Symmetric tensors and combinatorics for finite-dimensional representations of symplectic Lie algebras," Mathematics. (2009 – 2012).

Doctoral Advisory Committee Chair,"Irreducible non-cuspidal characters of GSp(4, F_q )," Mathematics. (2007 – 2011).

Research

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

Presentations Given

Invited Talk

Schmidt, R. (Author & Presenter), AMS Fall Central Sectional Meeting, Siegel modular forms and Siegel vectors, Creighton University, Omaha, NE, United States of America. (2023).

Schmidt, R. (Author & Presenter), Colloquium, Paramodular Forms, University of Texas at Arlington, Arlington, TX, United States of America. (2022 – 2022).

Schmidt, R. (Author & Presenter), AMS Eastern Sectional Meeting, Packet Structure and Paramodular Forms, Penn State (virtual), United States of America. (2020 – 2020).

Schmidt, R. (Author & Presenter), SIU Mathematics Conference, The multiplicity one theorem for paramodular forms, University of Southern Illinois, Carbondale, IL, United States of America. (2019).

Schmidt, R. (Author & Presenter), Lie Groups Seminar, The symmetric group S_6 and automorphic Plancherel density for Siegel modular forms, Oklahoma State University, Stillwater, OK, United States of America. (2018).

Schmidt, R. (Author & Presenter), Lie Groups Seminar, An update on paramodular forms, Oklahoma State University, Stillwater, OK, United States of America. (2018).

Schmidt, R. (Author & Presenter), AMS Central Sectional Meeting, The multiplicity one theorem for paramodular forms, University of North Texas, Denton, TX, United States of America. (2017).

Schmidt, R. (Author & Presenter), AMS Western Sectional Meeting, The multiplicity one theorem for paramodular forms, Washington State University, Pullman, WA, United States of America. (2017).

Schmidt, R. (Author & Presenter), Heilbronn Seminar, Paramodular forms of level 8 and weight 10, University of Bristol, Bristol, UK, United Kingdom. (2017).

Schmidt, R. (Author & Presenter), Automorphic Forms and Representation Theory Seminar, The Paramodular Conjecture and the Representation Theory of GSp(4), Purdue University, West Lafayette, IN, United States of America. (2017).

Schmidt, R. (Author & Presenter), Ohio State Number Theory Seminar, The paramodular conjecture and the representation theory of GSp(4), Ohio State University, Columbus, OH, United States of America. (2017).

Schmidt, R. (Author & Presenter), Penn State Colloquium, The multiplicity one theorem for paramodular forms, Penn State University, State College, PA, United States of America. (2017).

Schmidt, R. (Author & Presenter), Penn State Number Theory Seminar, Introduction to GSp(4), Penn State University, State College, PA, United States of America. (2017).

Schmidt, R. (Author & Presenter), Bucknell University Distinguished Visitor Program, The multiplicity one theorem for paramodular forms, Bucknell University, Lewisburg, PA, United States of America. (2017).

Schmidt, R. (Author & Presenter), Bucknell University Distinguished Visitor Program, What is Number Theory?, Bucknell University, Lewisburg, PA, United States of America. (2017).

Schmidt, R. (Author & Presenter), Joint BU-MIT Number Theory Seminar, Newforms for GSp(4) and the metaplectic group, MIT, Cambridge, MA, United States of America. (2015).

Schmidt, R. (Author & Presenter), Heilbronn Seminar, Some remarks on the paramodular conjecture, University of Bristol, Bristol, UK, United Kingdom. (2014).

Schmidt, R. (Author & Presenter), AMS Meeting, Local and global Maass relations, Texas Tech University, Lubbock, TX, United States of America. (2014).

Lecture

Schmidt, R., ICERM, Introduction to automorphic forms, Brown University, Providence, RI. (2015).

Seminar talk

Schmidt, R. (Author & Presenter), Algebra Seminar, The Sato-Tate Conjecture, University of North Texas, United States of America. (2023).

Schmidt, R. (Author & Presenter), Algebra Seminar, New results about paramodular forms, University of North Texas, United States of America. (2022).

Schmidt, R. (Author & Presenter), Graduate Logic Group, Introduction to Categories, University of North Texas, United States of America. (2022).

Schmidt, R. (Author & Presenter), Algebra Seminar, E_2, University of North Texas, United States of America. (2021).

Schmidt, R. (Author & Presenter), Algebra Seminar, Automorphic Representations, University of North Texas, United States of America. (2020).

Schmidt, R. (Author & Presenter), Algebra Seminar, An Example for Modularity, University of North Texas, United States of America. (2020).

Schmidt, R. (Author & Presenter), Algebra Seminar, Paramodular forms, University of North Texas, United States of America. (2019).

Speed TORA Talk

Schmidt, R. (Author & Presenter), TORA XII, Fourier-Jacobi Modules, University of Oklahoma, Norman, OK, United States of America. (2023).

Summary talk of group work

Schmidt, R. (Author & Presenter), Workshop on Arithmetic Geometry, Number Theory, and Computation, New examples of transcendental L-functions, ICERM, Providence, RI (virtual), United States of America. (2020 – 2020).

Working Group Participant

Schmidt, R. (Discussant), Siegel Modular Forms in the LMFDB, Spaces of Siegel Modular Forms, Virtual, United States of America. (2020 – 2020).

Contracts, Grants and Sponsored Research

Fellowship
Schmidt, R., "Computational Aspects of the Langlands Program," Sponsored by ICERM, Federal, Funded. (September 2015 – December 2015).
Grant - Research
Schmidt, R. (Principal), "New theoretical and computational methods for Siegel modular forms," Sponsored by Simons Foundation, Private, $30000 Funded. (September 1, 2019 – August 31, 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. (January 1, 2016 – December 31, 2018).
Uncategorized
Schmidt, R. (Co-Principal), Poor, C. (Co-Principal), Yuen, D. (Co-Principal), "Local representations of paramodular forms," Sponsored by ICERM, Federal. (June 12, 2017 – June 16, 2017).
Keaton, R. (Principal), Schmidt, R. (Co-Principal), "Automorphic Forms Workshop 2017," Sponsored by U.S. Department of Defense, National Security Agency, Federal, Funded. (February 1, 2017 – April 30, 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. (February 1, 2013 – July 31, 2015).

Awards and Honors

Outstanding Paper Prize, Journal of the Mathematical Society of Japan. (March 2021 – March 2021).

Service

University Service

Member, Chair's Council. (August 1, 2023 – Present).

Member, R1 Our Way Task Force. (September 2019 – Present).

Chairperson, Department Chair. (January 1, 2023 – December 31, 2023).

Chairperson, Department Chair. (January 1, 2022 – December 31, 2022).

Chairperson, Department Chair. (January 1, 2021 – December 31, 2021).

Chairperson, Department Chair. (January 1, 2020 – December 31, 2020).

Chairperson, Department Chair. (August 1, 2019 – December 31, 2019).

Professional Service

Attendee, Meeting, The LMFDB Collaboration (ICERM Workshop), Providence, RI. (November 16, 2023 – November 19, 2023).

Other, NSF, via Zoom. (February 8, 2023 – February 10, 2023).

Workshop Organizer, AMS Western Sectional Meeting, via Zoom. (May 14, 2022 – May 15, 2022).

Committee Member, PhD Thesis Referee, Paris. (September 2020 – November 2020).

Attendee, Meeting, The L-functions and Modular Forms Database (LMFDB), via Zoom. (November 7, 2020 – November 8, 2020).

Other, Workshop on Arithmetic Geometry, Number Theory, and Computation, ICERM (virtual). (June 1, 2020 – June 5, 2020).

Reviewer, Journal Article, Several Mathematics Journals. (2019 – 2019).

Reviewer, Book, Mathematics. (2018 – 2018).

Reviewer, Journal Article, Several Mathematics Journals. (2018 – 2018).

Conference-Related, TORA - Texas-Oklahoma Representations and Automorphic Forms. (2012 – 2018).

Reviewer, Journal Article, Several Mathematics Journals. (2017 – 2017).

Other, Automorphic Forms Workshop 2017, Johnson City, TN. (March 6, 2017 – March 9, 2017).