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Ralf Schmidt

Chair

University of North Texas

Department of Mathematics

Email: Ralf.Schmidt@unt.edu

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, 3 courses.
  • MATH 6700 - Selected Topics in Advanced Mathematics, 1 course.
  • MATH 6900 - Special Problems, 1 course.
  • MATH 6950 - Doctoral Dissertation, 4 courses.

Teaching at Other Institutions

  • University of Oklahoma, MATH 4443 Intro to Analysis II, Spring 2019.
  • University of Oklahoma, MATH 2934 Differential and Integral Calculus III, Fall 2018.
  • University of Oklahoma, MATH 4433 Intro to Analysis I, Fall 2018.
  • University of Oklahoma, MATH 2924 Differential and Integral Calculus II, Spring 2018.
  • University of Oklahoma, MATH 4333 Intro to Abstract Algebra II, Spring 2018.
  • University of Oklahoma, MATH 4323 Intro to Abstract Algebra I, Fall 2017.
  • University of Oklahoma, MATH 3113 Intro to Ordinary Differential Equations, Fall 2017.

Directed Student Learning

  • Doctoral Advisory Committee Chair, Mathematics. (August 2021).
  • Doctoral Advisory Committee Chair, Mathematics. (August 2021).
  • 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 (Dissertation Research Hours), 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 (Dissertation Research Hours), Mathematics. (2018 - 2018).
  • Doctoral Advisory Committee Chair, "On Klingen Eisenstein series with levels," Mathematics. (2014 - 2018).
  • Other (Dissertation Research Hours), 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).

Awards and Honors

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

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, Stable Klingen theory for Siegel modular forms, UTSA, San Antonio, TX, United States of America. (2024).
  • Schmidt, R. (Author & Presenter), Building Bridges 6, Two lectures on Basic Concepts in Automorphic Forms, Luminy, France, United States of America. (2024 - 2024).
  • Schmidt, R. (Author & Presenter), 36th Automorphic Forms Workshop, Dimension Formulas for Siegel Modular Forms of Level 4, Oklahoma State University, Stillwater, OK, United States of America. (2024).
  • 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).

    • Other

  • Schmidt, R. (Author & Presenter), TORA XII, Fourier-Jacobi Modules, University of Oklahoma, Norman, OK, United States of America. (2023).
  • 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. (Discussant), Siegel Modular Forms in the LMFDB, Spaces of Siegel Modular Forms, Virtual, United States of America. (2020 - 2020).
  • Schmidt, R. (Author & Presenter), Algebra Seminar, Automorphic Representations, University of North Texas, United States of America. (2020).
  • 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).
  • 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).

Contracts, Grants, 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).

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 (Panelist), 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 (Working group co-organizer), 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 (Conference Organizer), Automorphic Forms Workshop 2017. Johnson City, TN. (March 6, 2017 - March 9, 2017).