Faculty Profile

Charles Conley

Title
Professor
Department
Mathematics
College
College of Science

    

    

      


                          

            
Curriculum Vitae

            

              Click Here to View Faculty CV
            

          

        
                          

            
Education

            



  

  


  
PhD, University of California, Los Angeles, 1991. 
Major: Mathematics
Dissertation Title: Representations of Finite Length of Semidirect Product Lie Groups
MS, California Institute of Technology, 1987. 
Major: Physics
SB, Massachusetts Institute of Technology, 1985. 
Major: Mathematics





          

        
                

          
Current Scheduled Teaching*


          
MATH 3410.001, Differential Equations I, Spring 2024 Syllabus
MATH 4450.001, Introduction to the Theory of Matrices, Spring 2024 Syllabus
MATH 5500.001, Introduction to the Theory of Matrices, Spring 2024 Syllabus


          
*
  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 4520.001, Introduction to Functions of a Complex Variable, Fall 2023 Syllabus SPOT
                    

                    MATH 5400.002, Introduction to Functions of a Complex Variable, Fall 2023  SPOT
                    

                    MATH 6510.001, Topics in Algebra, Fall 2023  SPOT
                    

                    MATH 3410.001, Differential Equations I, Spring 2023 Syllabus SPOT
                    

                    MATH 6950.711, Doctoral Dissertation, Spring 2023 
                    

                    MATH 4450.001, Introduction to the Theory of Matrices, Spring 2023 Syllabus SPOT
                    

                    MATH 5500.001, Introduction to the Theory of Matrices, Spring 2023 Syllabus SPOT
                    

                    MATH 3410.003, Differential Equations I, Fall 2022 Syllabus SPOT
                    

                    MATH 6950.709, Doctoral Dissertation, Fall 2022 
                    

                    MATH 5520.001, Modern Algebra, Fall 2022 Syllabus SPOT
                    

                    MATH 4900.703, Special Problems, Fall 2022 
                    

                    MATH 5900.709, Special Problems, Fall 2022 
                    

                    MATH 6950.708, Doctoral Dissertation, Spring 2022 
                    

                    MATH 5530.001, Modern Algebra, Spring 2022  SPOT
                    

                    MATH 6950.702, Doctoral Dissertation, Fall 2021 
                    

                    MATH 4520.001, Introduction to Functions of a Complex Variable, Fall 2021 Syllabus SPOT
                    

                    MATH 5400.001, Introduction to Functions of a Complex Variable, Fall 2021  SPOT
                    

                    MATH 6700.001, Selected Topics in Advanced Mathematics, Fall 2021  SPOT
                    

                    MATH 3510.001, Abstract Algebra I, Spring 2021 Syllabus SPOT
                    

                    MATH 3510.002, Abstract Algebra I, Spring 2021 Syllabus SPOT
                    

                    MATH 4450.001, Introduction to the Theory of Matrices, Spring 2021 Syllabus
                    

                    MATH 5500.001, Introduction to the Theory of Matrices, Spring 2021 Syllabus
                    

                    MATH 5900.702, Special Problems, Spring 2021 
                    

                    MATH 6900.702, Special Problems, Spring 2021 
                    

                    MATH 3510.001, Abstract Algebra I, Fall 2020 Syllabus SPOT
                    

                    MATH 3510.002, Abstract Algebra I, Fall 2020 Syllabus SPOT
                    

                    MATH 6900.708, Special Problems, Fall 2020 
                    

                    MATH 5900.702, Special Problems, Summer 5W1 2020 
                    

                    MATH 5520.001, Modern Algebra, Fall 2019  SPOT
                    

                    MATH 6950.709, Doctoral Dissertation, Spring 2019 
                    

                    MATH 6950.708, Doctoral Dissertation, Fall 2018 
                    

                    MATH 6510.001, Topics in Algebra, Fall 2018  SPOT
                    

                    MATH 6950.709, Doctoral Dissertation, Spring 2018 
                    

                    MATH 6950.708, Doctoral Dissertation, Fall 2017 
                    

                    MATH 6950.710, Doctoral Dissertation, Fall 2017 
                    

                    MATH 6950.709, Doctoral Dissertation, Spring 2017 
                    

                    MATH 6900.709, Special Problems, Spring 2017 
                    

                    MATH 6950.708, Doctoral Dissertation, Fall 2016 
                    

                    MATH 5520.001, Modern Algebra, Fall 2016  SPOT
                    

                    MATH 6900.708, Special Problems, Fall 2016 
                    

                    MATH 6950.709, Doctoral Dissertation, Spring 2016 
                    

                    MATH 4500.001, Introduction to Topology, Spring 2016 Syllabus SPOT
                    

                    MATH 5600.001, Introduction to Topology, Spring 2016  SPOT
                    

                    MATH 6900.709, Special Problems, Spring 2016 
                    

                    MATH 6900.708, Special Problems, Fall 2015 
                    

                    MATH 6900.709, Special Problems, Spring 2015 
                    

                    MATH 6510.001, Topics in Algebra, Spring 2015 
                    

                    MATH 4520.001, Introduction to Functions of a Complex Variable, Fall 2014 Syllabus
                    

                    MATH 5400.001, Introduction to Functions of a Complex Variable, Fall 2014 
                    

                    MATH 5900.718, Special Problems, Fall 2014 
                    

                    MATH 5530.001, Selected Topics in Modern Algebra, Spring 2014 
                    

                    MATH 5520.001, Modern Algebra, Fall 2013 
                    

                    MATH 6950.702, Doctoral Dissertation, Summer 5W1 2013 
                    

                    MATH 6950.708, Doctoral Dissertation, Spring 2013 
                    

                    MATH 5530.001, Selected Topics in Modern Algebra, Spring 2013 
                    

                    MATH 4910.701, Special Problems, Spring 2013 
                    

                    MATH 6950.724, Doctoral Dissertation, Fall 2012 
                    

                    MATH 5520.001, Modern Algebra, Fall 2012 
                    

                    MATH 4900.709, Special Problems, Fall 2012 
                    

                    MATH 6950.716, Doctoral Dissertation, Summer 5W1 2012 
                    

                    MATH 6950.708, Doctoral Dissertation, Spring 2012 
                    

                    MATH 6950.724, Doctoral Dissertation, Fall 2011 
                    

                    MATH 1650.622, Pre Calculus, Fall 2011 Syllabus
                    

                    MATH 5900.718, Special Problems, Fall 2011 
                    

                    MATH 3410.001, Differential Equations I, Spring 2011 Syllabus
                    

                    MATH 3410.003, Differential Equations I, Spring 2011 Syllabus
                    

                    MATH 3410.500, Differential Equations I, Spring 2011 Syllabus
                    

                    MATH 6950.708, Doctoral Dissertation, Spring 2011 
                    

                    MATH 4900.703, Special Problems, Spring 2011 
                    

                    MATH 4910.701, Special Problems, Spring 2011 
                    

                    MATH 5900.702, Special Problems, Spring 2011 
                    

                    MATH 5900.718, Special Problems, Fall 2010 
                    

                    MATH 6900.755, Special Problems, Fall 2010 
                    

                    MATH 3740.001, Vector Calculus, Fall 2010 
                    

                    MATH 3400.001, Number Theory, Spring 2010 
                    

                    MATH 6900.724, Special Problems, Spring 2010 
                    

                    MATH 6510.002, Topics in Algebra, Spring 2010 
                    

                    MATH 6950.724, Doctoral Dissertation, Fall 2009 
                    

                    MATH 4520.001, Introduction to Functions of a Complex Variable, Fall 2009 
                    

                    MATH 5400.001, Introduction to Functions of a Complex Variable, Fall 2009 
                    

                    MATH 6510.001, Topics in Algebra, Fall 2009 
                    

                    MATH 1710.623, Calculus I, Spring 2009 
                    

                    MATH 6950.721, Doctoral Dissertation, Spring 2009 
                    

                    MATH 6950.724, Doctoral Dissertation, Fall 2008 
                    

                    MATH 5000.002, Instructional Issues for the Professional Mathematician, Fall 2008 
                    

                    MATH 1650.623, Pre Calculus, Fall 2008 
                    

                    MATH 1710.624, Calculus I, Spring 2008 
                    

                    MATH 6950.721, Doctoral Dissertation, Spring 2008 
                    

                    MATH 5900.714, Special Problems, Spring 2008 
                    

                    MATH 3410.001, Differential Equations I, Fall 2007 
                    

                    MATH 6950.724, Doctoral Dissertation, Fall 2007 
                    

                    MATH 1650.622, Pre Calculus, Fall 2007 
                    

                    MATH 5900.709, Special Problems, Fall 2007 
                    

                    MATH 2700.001, Linear Algebra and Vector Geometry, Spring 2007 
                    

                    MATH 5530.001, Selected Topics in Modern Algebra, Spring 2007 
                    

                    MATH 4900.704, Special Problems, Spring 2007 
                    

                    MATH 5900.714, Special Problems, Spring 2007 
                    

                    MATH 6900.724, Special Problems, Spring 2007 
                    

                    MATH 4520.001, Introduction to Functions of a Complex Variable, Fall 2006 
                    

                    MATH 5400.001, Introduction to Functions of a Complex Variable, Fall 2006 
                    

                    MATH 5950.718, Master's Thesis, Fall 2006 
                    

                    MATH 5520.001, Modern Algebra, Fall 2006 
                    

                    MATH 4900.709, Special Problems, Fall 2006 
                    

                    MATH 4900.713, Special Problems, Fall 2006 
                    

                    MATH 6900.755, Special Problems, Fall 2006 
                    

                    MATH 1720.620, Calculus II, Spring 2006 
                    

                    MATH 4450.001, Introduction to the Theory of Matrices, Spring 2006 
                    

                    MATH 5500.001, Introduction to the Theory of Matrices, Spring 2006 
                    

                    MATH 4900.704, Special Problems, Spring 2006 
                    

                    MATH 5900.714, Special Problems, Spring 2006 
                    

                    MATH 3510.001, Introduction to Abstract Algebra, Fall 2005 
                    

                    MATH 1650.625, Pre Calculus, Fall 2005 
                    

                    MATH 4900.709, Special Problems, Fall 2005 
                    

                    MATH 1190.004, Business Calculus, Fall 2004 
                    

                    MATH 5520.001, Modern Algebra, Fall 2004 
                    

                    MATH 4900.709, Special Problems, 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


  
Conference Proceeding
Conley, C. H. (1994). Extensions of the mass 0 helicity 0 representation of the Poincaré group. Other. Non‑compact Lie Groups and Some of Their Applications. 429, 315-324.  Dordrecht: Kluwer. 
Journal Article
Conley, C. H., Ovsienko, V.  (2023). Counting quiddities of polygon dissections. The Mathematical Intelligencer. 45(3), 256-262. 
Conley, C. H., Ovsienko, V.  (2023). Quiddities of polygon dissections and the Conway-Coxeter frieze equation. Annali della Scuola Normale Superiore di Pisa. 24, 2125-2170. 
Conley, C. H., Ovsienko, V.  (2023). Shadows of rationals and irrationals: supersymmetric continued fractions and the super modular group. Journal of Geometry and Physics. 190, paper 104866, 18 pages. 
Conley, C. H., Erickson, J.  (2022). The vibrational modes of simplicial molecules. The Mathematical Intelligencer. 44(4), 364-370. 
Conley, C. H., Ovsienko, V.  (2019). Lagrangian configurations and symplectic cross-ratios. Mathematische Annalen. 375(3-4), 1105-1145. arXiv:1812.04271
Conley, C. H., Ovsienko, V.  (2018). Rotundus: triangulations, Chebyshev polynomials, and Pfaffians. The Mathematical Intelligencer. 40(3), 45-50. 
Conley, C. H., Grantcharov, D.  (2017). Quantization and injective submodules of differential operator modules. Advances in Mathematics. 316, 216-254. 
Conley, C. H., Raum, M.  (2016). Harmonic Maaß-Jacobi forms of degree 1 with higher rank indices. International Journal of Number Theory. 12(7), 1871-1897. 
Conley, C. H., Ovsienko, V.  (2016). Linear differential operators on contact manifolds. International Mathematics Research Notices. 2016(22), 6884-6920. 
Conley, C. H., Dahal, R.  (2015). Centers and characters of Jacobi group-invariant differential operator algebras. Journal of Number Theory. 148, 40-61. 
Conley, C. H., Larsen, J.  (2015). Equivalence classes of subquotients of pseudodifferential operator modules. Transactions of the American Mathematical Society. 367(12), 8809-8842. 
Conley, C. H. (2015). Equivalence classes of subquotients of supersymmetric pseudodifferential operator modules. Algebras and Representation Theory. 18(3), 665-692. 
Conley, C. H., Sepanski, M.  (2015). Factorizations of relative extremal projectors. P-Adic Numbers, Ultrametric Analysis, and Applications. 7(4), 276-290. 
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. 
Conley, C. H. (2009). Conformal symbols and the action of contact vector fields over the superline. Journal fur die reine und angewandte Mathematik. 633, 115-163. 
Conley, C. H. (2009). Quantizations of modules of differential operators. Contemporary Mathematics. 490, 61-81. 
Conley, C. H., Martin, C.  (2007). Annihilators of tensor density modules. Journal of Algebra. 312(1), 495-526. 
Bringmann, K., Conley, C. H., Richter, O. K. (2007). Maass-Jacobi forms over complex quadratic fields. Mathematical Research Letters. 14(1), 137-156. 
Conley, C. H. (2005). Bounded subquotients of pseudodifferential operator modules. Communications in Mathematical Physics. 257(3), 641-657. 
Conley, C. H., Pucci, P., Serrin, J. B. (2005). Elliptic equations and products of positive definite matrices. Mathematische Nachrichten. 278(12-13), 1490-1508. 
Conley, C. H., Sepanski, M. R. (2005). Infinite commutative product formulas for relative extremal projectors. Advances in Mathematics. 196(1), 52-77. 
Conley, C. H., Sepanski, M. R. (2004). Singular projective bases and the affine Bol operator. Advances in Applied Mathematics. 33(1), 158-191. 
Conley, C. H., Sepanski, M. R. (2003). Relative extremal projectors. Advances in Mathematics. 174(2), 155-166. 
Conley, C. H., Martin, C.  (2001). A family of irreducible representations of the Witt Lie algebra with infinite dimensional weight spaces. Compositio Mathematica. 128(2), 153-175. 
Conley, C. H. (2001). Bounded length 3 representations of the Virasoro Lie algebra. International Mathematics Research Notices. 2001(12), 609-628. 
Conley, C. H. (1999). Super multiplicative integrals. Letters in Mathematical Physics. 47(1), 63-74. 
Conley, C. H. (1998). Geometric realizations of representations of finite length II. Pacific Journal of Mathematics. 183(2), 201-211. 
Conley, C. H. (1997). Geometric realizations of representations of finite length. Reviews in Mathematical Physics. 9(7), 821-851. 
Conley, C. H. (1995). Little group method for smooth representations of finite length. Duke Mathematical Journal. 79(3), 619-666. 
Conley, C. H. (1993). Representations of finite length of semidirect product Lie groups. Journal of Functional Analysis. 114(2), 421-457. 



	
		
		
	  

	

	

  
    
	

	

	  

		

		   
Awarded Grants



  
  
  	  
          
Contracts, Grants and Sponsored Research  

 	 
	 	 
  
Fellowship   
Conley, C. H. (Principal), "Gauge supergroups," Sponsored by NSF International Research Fellowship, Federal, $40628 Funded. (1998 – 1999).
Conley, C. H. (Principal), "Semidirect product Lie groups," Sponsored by NSF Postdoctoral Fellowship, Federal, $75000 Funded. (1991 – 1994).
Grant - Research   
Conley, C. H. (Principal), Shepler, A. V. (Co-Principal), "Southwest Local Algebra Meeting 2023, DMS 1855261," Sponsored by National Science Foundation, Federal, $16000 Funded. (January 2022 – December 2023).
Conley, C. H. (Principal), "Contact Schwarzians, extremal projectors, and infinitesimal characters," Sponsored by Simons Foundation Collaboration Grant, Private, $42000 Funded. (2017 – 2022).
Conley, C. H. (Principal), "Lie algebra cohomology and invariant differential operators," Sponsored by Simons Foundation Collaboration Grant, 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), Conley, C. H. (Co-Principal), Shepler, A. V. (Co-Principal), "NSF grant DMS 1132586," Sponsored by National Science Foundation, Federal, $8000 Funded. (2011 – 2012).
Conley, C. H. (Principal), "Representations of Lie algebras," Sponsored by NSA Young Investigator Award, Federal, $36000 Funded. (2003 – 2005).



	
		
		
	  

	

	

	
	

  
  
  

  	

		

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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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