Faculty Profile

Olav Richter

Title
Professor
Department
Mathematics
College
College of Science

    

    

      


                          

            
Curriculum Vitae

            

              Click Here to View Faculty CV
            

          

        
                          

            
Education

            



  

  


  
PhD, University of California at San Diego, 1999. 
Major: Mathematics
Dissertation Title: Theta functions of quadratic forms





          

        
                

          
Current Scheduled Teaching*


          
MATH 5420.001, Complex Analysis, Spring 2024 
MATH 2000.002, Discrete Mathematics, Spring 2024 Syllabus
MATH 5910.001, 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 5410.001, Complex Analysis, Fall 2023  SPOT
                    

                    MATH 2000.001, Discrete Mathematics, Fall 2023 Syllabus SPOT
                    

                    MATH 5900.716, Special Problems, Fall 2023 
                    

                    MATH 5900.727, Special Problems, Fall 2023 
                    

                    MATH 2000.001, Discrete Mathematics, Fall 2022 Syllabus SPOT
                    

                    MATH 6110.001, Topics in Analysis, Fall 2022  SPOT
                    

                    MATH 5420.001, Complex Analysis, Spring 2022  SPOT
                    

                    MATH 5910.705, Special Problems, Spring 2022 
                    

                    MATH 2000.001, Discrete Mathematics, Fall 2021 Syllabus SPOT
                    

                    MATH 5900.716, Special Problems, Fall 2021 
                    

                    MATH 5900.719, Special Problems, Fall 2021 
                    

                    MATH 5420.001, Functions of a Complex Variable, Spring 2021  SPOT
                    

                    MATH 6510.001, Topics in Algebra, Fall 2020  SPOT
                    

                    MATH 5910.702, Special Problems, Spring 2020 
                    

                    MATH 5910.703, Special Problems, Spring 2020 
                    

                    MATH 6110.001, Topics in Analysis, Spring 2020 
                    

                    MATH 2000.003, Discrete Mathematics, Fall 2019 Syllabus SPOT
                    

                    MATH 5900.719, Special Problems, Fall 2019 
                    

                    MATH 5420.001, COMPLEX VARIABLE, Spring 2019  SPOT
                    

                    MATH 4900.707, Special Problems, Spring 2019 
                    

                    MATH 2000.003, Discrete Mathematics, Fall 2018 Syllabus SPOT
                    

                    MATH 5900.719, Special Problems, Fall 2018 
                    

                    MATH 5900.702, Special Problems, Spring 2018 
                    

                    MATH 6110.001, Topics in Analysis, Spring 2018  SPOT
                    

                    MATH 2000.001, Discrete Mathematics, Fall 2017 Syllabus SPOT
                    

                    MATH 5900.719, Special Problems, Fall 2017 
                    

                    MATH 5900.726, Special Problems, Fall 2017 
                    

                    MATH 2730.001, Multivariable Calculus, Spring 2017 Syllabus SPOT
                    

                    MATH 2730.005, Multivariable Calculus, Spring 2017 Syllabus SPOT
                    

                    MATH 5900.721, Special Problems, Spring 2017 
                    

                    MATH 2000.002, Discrete Mathematics, Fall 2016 Syllabus SPOT
                    

                    MATH 6510.001, Topics in Algebra, Fall 2016  SPOT
                    

                    MATH 6950.703, Doctoral Dissertation, Summer 5W2 2016 
                    

                    MATH 6950.721, Doctoral Dissertation, Spring 2016 
                    

                    MATH 2730.007, Multivariable Calculus, Spring 2016 Syllabus SPOT
                    

                    MATH 6110.001, Topics in Analysis, Spring 2016  SPOT
                    

                    MATH 6950.725, Doctoral Dissertation, Fall 2015 
                    

                    MATH 6950.721, Doctoral Dissertation, Spring 2015 
                    

                    MATH 3400.001, Number Theory, Spring 2015 Syllabus
                    

                    MATH 6910.721, Special Problems, Spring 2015 
                    

                    MATH 6110.001, Topics in Analysis, Spring 2015 
                    

                    MATH 6950.725, Doctoral Dissertation, Fall 2014 
                    

                    MATH 2730.001, Multivariable Calculus, Fall 2014 Syllabus
                    

                    MATH 2730.005, Multivariable Calculus, Fall 2014 Syllabus
                    

                    MATH 6900.706, Special Problems, Fall 2014 
                    

                    MATH 6910.704, Special Problems, Fall 2014 
                    

                    MATH 6950.702, Doctoral Dissertation, Summer 10W 2014 
                    

                    MATH 6950.721, Doctoral Dissertation, Spring 2014 
                    

                    MATH 6000.001, Millican Colloquium, Spring 2014 
                    

                    MATH 2730.002, Multivariable Calculus, Spring 2014 Syllabus
                    

                    MATH 2730.003, Multivariable Calculus, Spring 2014 Syllabus
                    

                    MATH 6900.721, Special Problems, Spring 2014 
                    

                    MATH 6910.721, Special Problems, Spring 2014 
                    

                    MATH 1720.008, Calculus II, Fall 2013 Syllabus
                    

                    MATH 6950.725, Doctoral Dissertation, Fall 2013 
                    

                    MATH 6000.001, Millican Colloquium, Fall 2013 
                    

                    MATH 4900.706, Special Problems, Fall 2013 
                    

                    MATH 6900.706, Special Problems, Fall 2013 
                    

                    MATH 6900.717, Special Problems, Fall 2013 
                    

                    MATH 6510.001, Topics in Algebra, Fall 2013 
                    

                    MATH 1720.005, Calculus II, Spring 2013 Syllabus
                    

                    MATH 6950.717, Doctoral Dissertation, Spring 2013 
                    

                    MATH 6000.001, Millican Colloquium, Spring 2013 
                    

                    MATH 3400.001, Number Theory, Spring 2013 Syllabus
                    

                    MATH 6910.705, Special Problems, Spring 2013 
                    

                    MATH 2700.001, Linear Algebra and Vector Geometry, Fall 2012 
                    

                    MATH 2700.004, Linear Algebra and Vector Geometry, Fall 2012 Syllabus
                    

                    MATH 6000.001, Millican Colloquium, Fall 2012 
                    

                    MATH 5900.717, Special Problems, Fall 2012 
                    

                    MATH 5910.704, Special Problems, Fall 2012 
                    

                    MATH 6900.706, Special Problems, Fall 2012 
                    

                    MATH 1720.007, Calculus II, Spring 2012 Syllabus
                    

                    MATH 5420.001, COMPLEX VARIABLE, Spring 2012 
                    

                    MATH 5900.720, Special Problems, Spring 2012 
                    

                    MATH 5910.703, Special Problems, Spring 2012 
                    

                    MATH 1720.009, Calculus II, Fall 2011 Syllabus
                    

                    MATH 5410.002, Functions of a Complex Variable, Fall 2011 
                    

                    MATH 5900.717, Special Problems, Fall 2011 
                    

                    MATH 5900.719, Special Problems, Fall 2011 
                    

                    MATH 5910.704, Special Problems, Fall 2011 
                    

                    MATH 2700.005, Linear Algebra and Vector Geometry, Spring 2011 Syllabus
                    

                    MATH 6110.001, Topics in Analysis, Spring 2011 
                    

                    MATH 1720.008, Calculus II, Fall 2010 Syllabus
                    

                    MATH 6510.001, Topics in Algebra, Fall 2010 
                    

                    MATH 2700.003, Linear Algebra and Vector Geometry, Spring 2010 Syllabus
                    

                    MATH 2700.004, Linear Algebra and Vector Geometry, Spring 2010 Syllabus
                    

                    MATH 1720.009, Calculus II, Spring 2008 
                    

                    MATH 2770.002, Discrete Mathematical Structures, Spring 2008 
                    

                    MATH 1720.003, Calculus II, Fall 2007 
                    

                    MATH 1720.008, Calculus II, Fall 2007 
                    

                    MATH 1720.005, Calculus II, Spring 2007 
                    

                    MATH 1720.009, Calculus II, Spring 2007 
                    

                    MATH 5900.717, Special Problems, Spring 2007 
                    

                    MATH 1720.007, Calculus II, Fall 2006 
                    

                    MATH 4900.760, Special Problems, Fall 2006 
                    

                    MATH 6110.001, Topics in Analysis, Fall 2006 
                    

                    MATH 5420.001, COMPLEX VARIABLE, Spring 2006 
                    

                    MATH 2730.004, Multivariable Calculus, Spring 2006 
                    

                    MATH 4910.701, Special Problems, Spring 2006 
                    

                    MATH 5900.717, Special Problems, Spring 2006 
                    

                    MATH 5910.761, Special Problems, Spring 2006 
                    

                    MATH 2770.002, Discrete Mathematical Structures, Fall 2005 
                    

                    MATH 5410.001, Functions of a Complex Variable, Fall 2005 
                    

                    MATH 4900.706, Special Problems, Fall 2005 
                    

                    MATH 5420.001, COMPLEX VARIABLE, Spring 2005 
                    

                    MATH 1720.008, Calculus II, Fall 2004 
                    

                    MATH 5410.002, Functions of a Complex Variable, Fall 2004 

          


          
*
  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


  
Journal Article
Beckwith, O., Raum, M., Richter, O.  (2022). Congruences of Hurwitz class numbers on square classes. Advances in Mathematics. 409, Paper No. 108663, 19 pp. 
Beckwith, O., Raum, M., Richter, O.  (2020). Non-holomorphic Ramanujan-type congruences for Hurwitz class numbers. Proceedings of the National Academy of Sciences of the United States of America. PNAS 117(36), 21953-21961. ___Remark: PNAS is on our list of “top-quality” journals. 
Raum, M., Richter, O.  (2019). The skew-Maass lift I: The case of harmonic Maass-Jacobi forms. Research in the Mathematical Sciences. 6, no. 2, Paper No. 22, 59 pp. 
Richter, O. K., Skogman, H.  (2018). Generators of Jacobi forms are Poincaré series. Ramanujan Journal. 45(3), 639-645. 
Bringmann, K., Richter, O. K., Westerholt-Raum, M.  (2016). Almost holomorphic Poincaré series corresponding to products of harmonic Siegel-Maass forms. Research in the Mathematical Sciences. 3, Paper No. 30, 16 pp. 
Bringmann, K., Richter, O. K., Westerholt-Raum, M.  (2015). Harmonic Maass-Jacobi forms with singularities and a theta-like decomposition. Transactions of the American Mathematical Society. 367(9), 6647-6670. 
Richter, O. K., Senadheera, J.  (2015). Hermitian Jacobi forms and U(p) congruences. Proceedings of the American Mathematical Society. 143(10), 4199-4210. 
Richter, O. K., Westerholt-Raum, M.  (2015). Sturm bounds for Siegel modular forms. Research in Number Theory. 1, Paper No. 5, 8 pp. 
Raum, M., Richter, O. K. (2015). The structure of Siegel modular forms mod p and U(p) congruences. Mathematical Research Letters. 22(3), 899‑928. 
Imamoglu, O., Raum, M., Richter, O. K. (2014). Holomorphic projections and Ramanujan's mock theta functions. Proceedings of the National Academy of Sciences. PNAS 111(11), 3961-3967. 
Bringmann, K., Conley, C. H., Richter, O. K. (2012). Jacobi forms over complex quadratic fields via the cubic Casimir operators. Commentarii Mathematici Helvetici. 87(4), 825-859. 
Bringmann, K., Raum, M., Richter, O. K. (2012). Kohnen’s limit process for real-analytic Siegel modular forms. Advances in Mathematics. 231(2), 1100‑1118. 
Choi, D., Choie, Y., Richter, O. K. (2011). Congruences for Siegel modular forms. Annales de l'institut Fourier. 61(4), 1455-1466. 
Bringmann, K., Richter, O. K. (2011). Exact formulas for coefficients of Jacobi forms. International Journal of Number Theory. 7(3), 825-833. 
Dewar, M., Richter, O. K. (2010). Ramanujan congruences for Siegel modular forms. International Journal of Number Theory. 6(7), 1677-1687. 
Bringmann, K., Richter, O. K. (2010). Zagier-type dualities and lifting maps for harmonic Maass-Jacobi forms. Advances in Mathematics. 225(4), 2298-2315. 
Choie, Y., Richter, O. K. (2009). A combinatorial characterization of Jacobi forms. Rocky Mountain Journal of Mathematics. 39(2), 455-462. 
Richter, O. K. (2009). The action of the heat operator on Jacobi forms. Proceedings of the American Mathematical Society. 137(3), 869-875. 
Richter, O. K. (2008). On congruences of Jacobi forms. Proceedings of the American Mathematical Society. 136(8), 2729-2734. 
Choie, Y., Richter, O. K. (2007). Classification of the space spanned by theta series and applications. Proceedings of the American Mathematical Society. 135(8), 2309-2315. 
Choie, Y., Kim, H., Richter, O. K. (2007). Differential operators on Hilbert modular forms. Journal of Number Theory. 122(1), 25-36. 
Bringmann, K., Conley, C. H., Richter, O. K. (2007). Maass-Jacobi forms over complex quadratic fields. Mathematical Research Letters. 14(1), 137-156. 
Imamoglu, O., Richter, O. K. (2006). On Rankin-Cohen brackets for Siegel modular forms. Proceedings of the American Mathematical Society. 134(4), 995-1001. 
Richter, O. K., Skogman, H.  (2004). Jacobi theta functions over number fields. Monatshefte für Mathematik. 141(3), 219-235. 
Richter, O. K. (2004). On transformation laws for theta functions. Rocky Mountain Journal of Mathematics. 34(4), 1473-1481. 
Richter, O. K. (2002). Theta functions with harmonic coefficients over number fields. Journal of Number Theory. 95(1), 101-121. 
Richter, O. K. (2001). A remark on the behavior of theta series of degree n under modular transformations. Other. 2001(7), 371-379. 
Richter, O. K. (2000). Theta functions of indefinite quadratic forms over real number fields. Proceedings of the American Mathematical Society. 128(3), 701-708. 
Richter, O. K. (2000). Theta functions of quadratic forms over imaginary quadratic fields. Acta Arithmetica. 92(1), 1-9. 
Other
Richter, O. K., Imamoglu, O.  (2010). Differential operators and Siegel-Maass forms. Automorphic forms, automorphic representations and related topics, 109-115, RIMS Kôkyûroku 1715, Kyoto. 



	
		
		
	  

	

	

  
    
	

	

	  

		

		   
Awarded Grants



  
  
  	  
          
Contracts, Grants and Sponsored Research  

 	 
	 	 
  
Grant - Research   
Beneish, L. (Principal), Richter, O. K. (Co-Principal), Shepler, A. V. (Co-Principal), "Texas-Oklahoma Representations and Automorphic Forms, Award #2347096," Sponsored by National Science Foundation, Federal, $20000 Funded. (2023 – Present).
Beneish, L. (Principal), Richter, O. K. (Co-Principal), Shepler, A. V. (Co-Principal), "TORA Conference Grant NSF (DMS-2347096)," Sponsored by National Science Foundation, Federal, $20000 Funded. (January 1, 2024 – December 31, 2026).
Richter, O. (Principal), "Simons Collaboration Grant #835652," Sponsored by Simons Foundation, Private, $42000 Funded. (2021 – 2026).
Richter, O. K. (Principal), Drescher, C. C. (Co-Principal), Shepler, A. V. (Co-Principal), "NSF grant DMS 1855261," Sponsored by National Science Foundation, Federal, $16000 Funded. (2019 – 2022).
Richter, O. K. (Principal), "Simons Collaboration Grant #412655," Sponsored by Simons Foundation, Private, $35000 Funded. (2016 – 2022).
Richter, O. K. (Principal), Drellich, E. (Co-Principal), Shepler, A. V. (Co-Principal), "NSF grant DMS 1600642," Sponsored by National Science Foundation, Federal, $13000 Funded. (2016 – 2019).
Richter, O. K. (Co-Principal), Keaton, R. (Principal), Schmidt, R. (Co-Principal), "NSF Grant DMS 1701585," Sponsored by National Scince Foundation, Federal, $21000.00 Funded. (2017 – 2017).
Richter, O. K. (Co-Principal), Keaton, R. (Principal), Schmidt, R. (Co-Principal), "NSA Grant H98230-16-1-0317," Sponsored by National Security Agency, Federal, $13980.00 Funded. (2016 – 2017).
Richter, O. K. (Principal), "Simons Collaboration Grant #200765," Sponsored by Simons Foundation, Private, $35000 Funded. (2011 – 2016).
Richter, O. K. (Principal), Conley, C. H. (Co-Principal), Shepler, A. V. (Co-Principal), "NSF grant DMS 1302770," Sponsored by National Science Foundation, Federal, $12000 Funded. (2013 – 2014).
Richter, O. K. (Principal), "NSF grant DMS 1153219," Sponsored by National Science Foundation, Federal, $50000 Funded. (2012 – 2013).
Richter, O. K. (Principal), Conley, C. H. (Co-Principal), Shepler, A. V. (Co-Principal), "NSF grant DMS 1132586," Sponsored by National Science Foundation, Federal, $8000 Funded. (2011 – 2012).
Richter, O. K. (Principal), Bringmann, K. (Co-Principal), "NSF grant DMS 0847842," Sponsored by National Science Foundation, Federal, $45000 Funded. (2009 – 2010).
Richter, O. K. (Principal), Rosson, H. (Co-Principal), "NSF grant DMS 0504545," Sponsored by National Science Foundation, Federal, $10000 Funded. (2005 – 2006).



	
		
		
	  

	

	

	
	

  
  
  

  	

		

		,  
			
				

					
					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
      • 
				
    
			
    • 
		

		CLOSE