Faculty Profile

Nam Trang

Title
Assistant Professor
Department
Mathematics
College
College of Science

    

    

      


                          

            
Curriculum Vitae

            

              Click Here to View Faculty CV
            

          

        
                          

            
Education

            



  

  


  
PhD, University of California, Berkeley, 2013. 
Major: Mathematics
Degree Specialization: Logic/Set Theory
Dissertation Title: Generalized Solovay Measures, the HOD Analysis, and the Core Model Induction
BA, University of California, Irvine, 2007. 
Major: Mathematics
BS, University of California, Irvine, 2007. 
Major: Compute Science





          

        
                

          
Current Scheduled Teaching*


          
MATH 2700.400, Linear Algebra and Vector Geometry, Spring 2024 Syllabus
MATH 5900.725, 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 1680.500, Elementary Probability and Statistics, Fall 2023 Syllabus SPOT
                    

                    MATH 1680.505, Elementary Probability and Statistics, Fall 2023 
                    

                    MATH 5900.712, Special Problems, Fall 2023 
                    

                    MATH 5900.726, Special Problems, Fall 2023 
                    

                    MATH 1680.430, Elementary Probability and Statistics, Spring 2023 Syllabus SPOT
                    

                    MATH 1680.435, Elementary Probability and Statistics, Spring 2023  SPOT
                    

                    MATH 5900.707, Special Problems, Spring 2023 
                    

                    MATH 5610.001, Topology., Fall 2022  SPOT
                    

                    MATH 5610.601, Topology., Fall 2022  SPOT
                    

                    MATH 1680.430, Elementary Probability and Statistics, Spring 2022 Syllabus SPOT
                    

                    MATH 1680.431, Elementary Probability and Statistics, Spring 2022 Syllabus
                    

                    MATH 1680.432, Elementary Probability and Statistics, Spring 2022 Syllabus
                    

                    MATH 1680.433, Elementary Probability and Statistics, Spring 2022 Syllabus
                    

                    MATH 5900.722, Special Problems, Spring 2022 
                    

                    MATH 1680.170, Elementary Probability and Statistics, Fall 2021 Syllabus SPOT
                    

                    MATH 1680.171, Elementary Probability and Statistics, Fall 2021 
                    

                    MATH 1680.172, Elementary Probability and Statistics, Fall 2021 
                    

                    MATH 1680.173, Elementary Probability and Statistics, Fall 2021 
                    

                    MATH 5900.714, Special Problems, Fall 2021 
                    

                    MATH 4910.702, Special Problems, Spring 2021 Syllabus
                    

                    MATH 5910.702, Special Problems, Spring 2021 Syllabus
                    

                    MATH 6010.001, Topics in Logic and Foundations, Spring 2021 Syllabus SPOT
                    

                    MATH 4010.001, Introduction to Metamathematics, Fall 2020 Syllabus SPOT
                    

                    MATH 5010.001, Mathematical Logic and Set Theory, Fall 2020 Syllabus SPOT
                    

                    MATH 5620.001, Topology, Spring 2020 
                    

                    MATH 2700.004, Linear Algebra and Vector Geometry, Fall 2019 Syllabus SPOT
                    

                    MATH 5900.714, Special Problems, Fall 2019 
                    

                    MATH 5610.001, Topology., Fall 2019 Syllabus SPOT
                    

                    MATH 2700.008, Linear Algebra and Vector Geometry, Spring 2019 Syllabus SPOT
                    

                    MATH 5900.710, Special Problems, Spring 2019 
                    

                    MATH 2700.010, Linear Algebra and Vector Geometry, Fall 2018 Syllabus SPOT
                    

                    MATH 5900.714, Special Problems, Fall 2018 

          


          
*
  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
Trang, N., Jackson, S. C., Chan, W.  (2023). More definable combinatorics around the first and second uncountable cardinal. Journal of Mathematical Logic. 23(03), . World Scientific. 
Trang, N.  (2023). The AD+ Conjecture and the Continuum Hypothesis. Proceedings of the American Mathematical Society. 151, . 
Trang, N., Jackson, S. C., Chan, W.  (2021). The size of the class of countable sequences of ordinals. Transactions of the American Mathematical Society. https://www.ams.org/journals/tran/0000-000-00/S0002-9947-2021-08573-6/
Trang, N.  (2021). Supercompactness can be equiconsistent with measurability. Notre Dame Journal of Formal Logic. 62(4), 593-618. Duke University Press. 
Trang, N., Sargsyan, G.  (2021). Sealing of the universally Baire sets. Bulletin of Symbolic Logic. 27(3), 254-266. Cambridge University Press. 
Trang, N., Wilson, T.  (2021). Determinacy from Strong Compactness of \omega_1. Annals of Pure and Applied Logic. 172(6), . Elsevier. 
Trang, N., Sargsyan, G.  (2021). Sealing from iterability. Transactions of the American Mathematical Society. 229-248. https://www.ams.org/journals/btran/2021-08-07/S2330-0000-2021-00065-5/
Trang, N., Ikegami, D.  (2020). On supercompactness of $\omega_1$. Springer. 
Trang, N., Rodriguez, D.  (2018). L(R,\mu) is unique. Advances in Mathematics. 324, 355--393. Elsevier. 
Trang, N., Ikegami, D.  (2018). On a class of maximality principles. Archive for Mathematical Logic. 57(5-6), 713--725. Springer. 
Trang, N., Shi, X.  (2017). I_0 and combinatorics at lambda^+. Archive for Mathematical Logic. 56(1-2), 131--154. Springer. 
Trang, N.  (2016). PFA and guessing models. Israel Journal of Mathematics. 216, 607-667. 
Trang, N., Sargsyan, G.  (2016). Tame failures of the unique branch hypothesis and models of AD_R + Theta is regular. Journal of Mathematical Logic. 16(02), 28. World Scientific. 
Trang, N.  (2015). Derived models and supercompact measures on P_{\omega_1}(P(R)). Mathematical Logic Quarterly. 61(1-2), 56--65. Elsevier. 
Trang, N.  (2015). Structure theory of L(R,\mu) and its applications. The Journal of Symbolic Logic. 80(01), 29--55. 
Trang, N.  (2014). Determinacy in L(R,\mu). Journal of Mathematical Logic. 14(01), . World Scientific. 
Trang, N., Sargsyan, G.  (2014). Non-tame mice from tame failures of the unique branch hypothesis. Canadian Journal of Mathematics. 66(4), 903--923. 
Trang, N. D. (2014). HOD in Natural Models of $\sf{AD}^+$. Annals of Pure and Applied Logic. 165(10), 1533-1556. Elsevier. 
Survey paper
Trang, N.  (2020). A brief account of recent developments in inner model theory. This is part of the volume on Simon Thomas' birthday. 752, . American Mathematical Society. 



	
		
		
	  

	

	

  
    
	

	

	  

		

		   
Awarded Grants



  
  
  	  
          
Contracts, Grants and Sponsored Research  

 	 
	 	 
  
Grant - Research   
Trang, N. D. (Co-Principal), "AIM SQUARE : Large cardinal axioms and left-distributive algebras," Sponsored by AIM (the American Institute of Mathematics), International,  Funded. (January 1, 2023 – December 31, 2025).
Trang, N. D., "CAREER: CURRENT AND FUTURE DEVELOPMENTS OF THE CORE MODEL INDUCTION," Sponsored by National Science Foundation, Federal, $403716 Funded. (September 1, 2020 – August 31, 2025).
Trang, N. D. (Principal), "Descriptive Inner Model Theory and its Applications," Sponsored by National Science Foundation, Federal, $120591 Funded. (September 1, 2019 – August 31, 2022).
Trang, N., "UNT Junior Research Grant," Sponsored by UNT, University of North Texas, $5000 Funded. (June 1, 2020 – June 30, 2020).
Trang, N., "UNT Junior Faculty Research Grant," Sponsored by University of North Texas, University of North Texas, $5000 Funded. (June 1, 2019 – June 30, 2019).
Trang, N. (Principal), "NSF grant," Sponsored by The National Science Foundation, Federal, $95359 Funded. (July 1, 2016 – June 30, 2019).



	
		
		
	  

	

	

	
	

  
  
  

  	

		

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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
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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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