Faculty Profile

Ralf Schmidt

Title
Chair
Department
Mathematics
College
College of Science

    

    

      


                          

            
Curriculum Vitae

            

              Click Here to View Faculty CV
            

          

        
                          

            
Education

            



  

  


  
PhD, University of Hamburg, 1998. 
Major: Mathematics





          

        
                

          
Current Scheduled Teaching*


          
MATH 6950.730, Doctoral Dissertation, Spring 2024 
MATH 5530.001, Modern Algebra, Spring 2024 
MATH 6900.709, Special Problems, Spring 2024 


          
*
  Texas Education Code 51.974 (HB 2504) requires each institution of
  higher education to make available to the public, a syllabus for
  undergraduate lecture courses offered for credit by the institution.
  

        

      

    

  


    

    

      


        


          


            
Previous Scheduled Teaching*


            
                    

                    MATH 6950.711, Doctoral Dissertation, Fall 2023 
                    

                    MATH 5520.001, Modern Algebra, Fall 2023 Syllabus SPOT
                    

                    MATH 5900.706, Special Problems, Spring 2023 
                    

                    MATH 5910.702, Special Problems, Spring 2023 
                    

                    MATH 5910.705, Special Problems, Spring 2023 
                    

                    MATH 6510.001, Topics in Algebra, Spring 2023  SPOT
                    

                    MATH 4520.001, Introduction to Functions of a Complex Variable, Fall 2022 Syllabus SPOT
                    

                    MATH 5400.002, Introduction to Functions of a Complex Variable, Fall 2022  SPOT
                    

                    MATH 5900.719, Special Problems, Fall 2022 
                    

                    MATH 6700.001, Selected Topics in Advanced Mathematics, Spring 2022  SPOT
                    

                    MATH 5910.702, Special Problems, Spring 2022 
                    

                    MATH 5520.001, Modern Algebra, Fall 2021 Syllabus SPOT
                    

                    MATH 4900.702, Special Problems, Fall 2021 
                    

                    MATH 5900.726, Special Problems, Fall 2021 
                    

                    MATH 5900.705, Special Problems, Spring 2021 
                    

                    MATH 6510.001, Topics in Algebra, Spring 2021  SPOT
                    

                    MATH 3000.002, Real Analysis I, Fall 2020 Syllabus SPOT
                    

                    MATH 5900.703, Special Problems, Fall 2020 
                    

                    MATH 5120.001, Introduction to Analysis, Spring 2020 
                    

                    MATH 5110.001, Introduction to Analysis, Fall 2019 Syllabus SPOT

          


          
*
  Texas Education Code 51.974 (HB 2504) requires each institution of
  higher education to make available to the public, a syllabus for
  undergraduate lecture courses offered for credit by the institution.
  

        

      

    

  

  
  	

	

	  

		

		   
Published Publications



  

  
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



	
		
		
	  

	

	

  
    
	

	

	  

		

		   
Awarded Grants



  
  
  	  
          
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   
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).



	
		
		
	  

	

	

	
	

  
  
  

  	

		

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					Challenge and
Engagement Index		
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out of 5		
					
out of 7		
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 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
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    • The course content was
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    • The instructor’s contribution to the course was
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    • The instructor’s effectiveness in teaching the subject matter was
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  • 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
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    • The intellectual challenge presented was
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    • The amount of effort you put into this course was
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    • The amount of effort to succeed in this course was
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    • Your involvement in course (doing assignments, attending classes, etc.) was
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