Faculty Profile

Lior Fishman

Title
Associate Professor
Department
Mathematics
College
College of Science

    

    

      


                          

            
Curriculum Vitae

            

              Click Here to View Faculty CV
            

          

        
                          

            
Education

            



  

  


  
PhD, Ben Gurion University, 2009. 
Major: Schmidt's game and fractals
MS, Bar Ilan University, 1995. 
Major: Very small sets
BS, Bar Ilan University, 1993. 
Major: Mathematics





          

        
                

          
Current Scheduled Teaching*


          
MATH 6950.720, Doctoral Dissertation, Spring 2023 
MATH 3400.001, Number Theory, Spring 2023 Syllabus
MATH 3000.002, Real Analysis I, Spring 2023 Syllabus
MATH 4900.702, Special Problems, Spring 2023 
MATH 4900.705, Special Problems, Spring 2023 
MATH 5900.715, Special Problems, Spring 2023 


          
*
  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 6950.703, Doctoral Dissertation, Fall 2022 
                    

                    MATH 4900.702, Special Problems, Fall 2022 
                    

                    MATH 6610.001, Topics in Topology and Geometry, Fall 2022 Syllabus SPOT
                    

                    MATH 6950.725, Doctoral Dissertation, Spring 2022 
                    

                    MATH 4060.001, Foundations of Geometry, Spring 2022 Syllabus SPOT
                    

                    MATH 4951.001, Honors College Capstone Thesis, Spring 2022 
                    

                    MATH 3000.002, Real Analysis I, Spring 2022 Syllabus SPOT
                    

                    MATH 4900.704, Special Problems, Spring 2022 
                    

                    MATH 5900.707, Special Problems, Spring 2022 
                    

                    MATH 5900.717, Special Problems, Spring 2022 
                    

                    MATH 5910.703, Special Problems, Spring 2022 
                    

                    MATH 6950.709, Doctoral Dissertation, Fall 2021 
                    

                    MATH 3996.702, Honors College Mentored Research Experience, Fall 2021 
                    

                    MATH 3000.001, Real Analysis I, Fall 2021 Syllabus SPOT
                    

                    MATH 5900.710, Special Problems, Fall 2021 
                    

                    MATH 5910.702, Special Problems, Fall 2021 
                    

                    MATH 6110.001, Topics in Analysis, Fall 2021 Syllabus SPOT
                    

                    MATH 6950.708, Doctoral Dissertation, Spring 2021 
                    

                    MATH 3400.001, Number Theory, Spring 2021 Syllabus SPOT
                    

                    MATH 3000.002, Real Analysis I, Spring 2021 Syllabus SPOT
                    

                    MATH 5910.703, Special Problems, Spring 2021 
                    

                    MATH 6950.724, Doctoral Dissertation, Fall 2020 
                    

                    MATH 4520.001, Introduction to Functions of a Complex Variable, Fall 2020 Syllabus SPOT
                    

                    MATH 5400.001, Introduction to Functions of a Complex Variable, Fall 2020 Syllabus SPOT
                    

                    MATH 3000.001, Real Analysis I, Fall 2020 Syllabus SPOT
                    

                    MATH 5900.710, Special Problems, Fall 2020 
                    

                    MATH 2000.002, Discrete Mathematics, Spring 2020 Syllabus
                    

                    MATH 6950.708, Doctoral Dissertation, Spring 2020 
                    

                    MATH 4951.001, Honors College Capstone Thesis, Spring 2020 
                    

                    MATH 4500.001, Introduction to Topology, Spring 2020 Syllabus
                    

                    MATH 5600.001, Introduction to Topology, Spring 2020 
                    

                    MATH 6220.001, Logic and Dynamics Seminar, Spring 2020 
                    

                    MATH 4900.704, Special Problems, Spring 2020 
                    

                    MATH 5900.705, Special Problems, Spring 2020 
                    

                    MATH 6950.724, Doctoral Dissertation, Fall 2019 
                    

                    MATH 4520.001, Introduction to Functions of a Complex Variable, Fall 2019 Syllabus SPOT
                    

                    MATH 5400.001, Introduction to Functions of a Complex Variable, Fall 2019 Syllabus SPOT
                    

                    MATH 3000.001, Real Analysis I, Fall 2019 Syllabus SPOT
                    

                    MATH 4900.702, Special Problems, Fall 2019 
                    

                    MATH 5900.710, Special Problems, Fall 2019 
                    

                    MATH 1720.200, Calculus II, Spring 2019 Syllabus SPOT
                    

                    MATH 1720.202, Calculus II, Spring 2019 
                    

                    MATH 2000.002, Discrete Mathematics, Spring 2019 Syllabus SPOT
                    

                    MATH 6950.711, Doctoral Dissertation, Spring 2019 
                    

                    MATH 6950.726, Doctoral Dissertation, Spring 2019 
                    

                    MATH 4900.703, Special Problems, Spring 2019 
                    

                    MATH 6900.705, Special Problems, Spring 2019 
                    

                    MATH 1710.200, Calculus I, Fall 2018 Syllabus SPOT
                    

                    MATH 1710.201, Calculus I, Fall 2018 
                    

                    MATH 6950.724, Doctoral Dissertation, Fall 2018 
                    

                    MATH 6950.725, Doctoral Dissertation, Fall 2018 
                    

                    MATH 2700.009, Linear Algebra and Vector Geometry, Fall 2018 Syllabus SPOT
                    

                    MATH 5900.710, Special Problems, Fall 2018 
                    

                    MATH 6900.710, Special Problems, Fall 2018 
                    

                    MATH 6950.711, Doctoral Dissertation, Spring 2018 
                    

                    MATH 6950.726, Doctoral Dissertation, Spring 2018 
                    

                    MATH 4500.001, Introduction to Topology, Spring 2018 Syllabus SPOT
                    

                    MATH 5600.001, Introduction to Topology, Spring 2018  SPOT
                    

                    MATH 2700.003, Linear Algebra and Vector Geometry, Spring 2018 Syllabus SPOT
                    

                    MATH 5900.705, Special Problems, Spring 2018 
                    

                    MATH 6950.724, Doctoral Dissertation, Fall 2017 
                    

                    MATH 6950.725, Doctoral Dissertation, Fall 2017 
                    

                    MATH 6220.001, Logic and Dynamics Seminar, Fall 2017 
                    

                    MATH 3000.001, Real Analysis I, Fall 2017 Syllabus SPOT
                    

                    MATH 5900.710, Special Problems, Fall 2017 
                    

                    MATH 6900.710, Special Problems, Fall 2017 
                    

                    MATH 6110.001, Topics in Analysis, Fall 2017  SPOT
                    

                    MATH 5420.001, COMPLEX VARIABLE, Spring 2017  SPOT
                    

                    MATH 3400.001, Number Theory, Spring 2017 Syllabus SPOT
                    

                    MATH 5900.711, Special Problems, Spring 2017 
                    

                    MATH 6900.703, Special Problems, Spring 2017 
                    

                    MATH 6900.711, Special Problems, Spring 2017 
                    

                    MATH 6900.719, Special Problems, Spring 2017 
                    

                    MATH 5410.002, Functions of a Complex Variable, Fall 2016  SPOT
                    

                    MATH 6220.001, Logic and Dynamics Seminar, Fall 2016 
                    

                    MATH 4900.702, Special Problems, Fall 2016 
                    

                    MATH 5900.710, Special Problems, Fall 2016 
                    

                    MATH 6900.710, Special Problems, Fall 2016 
                    

                    MATH 6110.001, Topics in Analysis, Fall 2016  SPOT
                    

                    MATH 4900.702, Special Problems, Summer 10W 2016 
                    

                    MATH 3510.001, Abstract Algebra I, Spring 2016 Syllabus SPOT
                    

                    MATH 5900.711, Special Problems, Spring 2016 
                    

                    MATH 5620.001, Topology, Spring 2016  SPOT
                    

                    MATH 5610.001, Topology., Fall 2015  SPOT
                    

                    MATH 6950.705, Doctoral Dissertation, Summer 5W1 2015 
                    

                    MATH 5900.703, Special Problems, Summer 5W1 2015 
                    

                    MATH 6950.711, Doctoral Dissertation, Spring 2015 
                    

                    MATH 4500.001, Introduction to Topology, Spring 2015 Syllabus
                    

                    MATH 5600.001, Introduction to Topology, Spring 2015 
                    

                    MATH 6220.001, Logic and Dynamics Seminar, Spring 2015 
                    

                    MATH 5900.711, Special Problems, Spring 2015 
                    

                    MATH 6900.711, Special Problems, Spring 2015 
                    

                    MATH 5620.001, Topology, Spring 2015 
                    

                    MATH 6950.713, Doctoral Dissertation, Fall 2014 
                    

                    MATH 2700.004, Linear Algebra and Vector Geometry, Fall 2014 Syllabus
                    

                    MATH 6220.001, Logic and Dynamics Seminar, Fall 2014 
                    

                    MATH 4900.703, Special Problems, Fall 2014 
                    

                    MATH 5900.751, Special Problems, Fall 2014 
                    

                    MATH 5610.001, Topology., Fall 2014 
                    

                    MATH 4900.701, Special Problems, Summer 10W 2014 
                    

                    MATH 6950.711, Doctoral Dissertation, Spring 2014 
                    

                    MATH 4500.001, Introduction to Topology, Spring 2014 Syllabus
                    

                    MATH 5600.001, Introduction to Topology, Spring 2014 
                    

                    MATH 4900.711, Special Problems, Spring 2014 
                    

                    MATH 6900.711, Special Problems, Spring 2014 
                    

                    MATH 6950.713, Doctoral Dissertation, Fall 2013 
                    

                    MATH 2730.004, Multivariable Calculus, Fall 2013 Syllabus
                    

                    MATH 3000.002, Real Analysis I, Fall 2013 Syllabus
                    

                    MATH 4900.703, Special Problems, Fall 2013 
                    

                    MATH 4910.705, Special Problems, Fall 2013 
                    

                    MATH 5900.751, Special Problems, Fall 2013 
                    

                    MATH 6900.727, Special Problems, Fall 2013 
                    

                    MATH 1720.006, Calculus II, Spring 2013 Syllabus
                    

                    MATH 3510.001, Introduction to Abstract Algebra, Spring 2013 Syllabus
                    

                    MATH 6220.001, Logic and Dynamics Seminar, Spring 2013 
                    

                    MATH 1720.210, Calculus II, Fall 2012 Syllabus
                    

                    MATH 3510.001, Introduction to Abstract Algebra, Fall 2012 Syllabus
                    

                    MATH 6220.001, Logic and Dynamics Seminar, Fall 2012 
                    

                    MATH 4900.706, Special Problems, Summer 10W 2012 
                    

                    MATH 1710.620, Calculus I, Spring 2012 Syllabus
                    

                    MATH 1650.621, Pre Calculus, Fall 2011 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.
  

        

      

    

  

  
  	

	

	  

		

		   
Published Publications



  

  
Published Intellectual Contributions


  
Journal Article
Fishman, L., Jackson, S. C., Crone, L.  (2022). Equivalence Relations and Determinacy. Journal of Mathematical Logic. 22(1), 19. 
Fishman, L., Crone, L., Jackson, S. C. (2022). DETERMINACY OF SCHMIDT’S GAME AND OTHER INTERSECTION GAMES. The Journal of Symbolic Logic. 
Fishman, L., Jackson, S. C., Crone, L.  (2022). Hausdorff Dimension Regularity Properties and Games. Israel Journal of Mathematics. 248(481–500), . 
Fishman, L., Kleinbock, D., Merrill, K., Simmons, D.  (2021). Intrinsic Diophantine approximation on quadric hypersurfaces. Journal of the European Mathematical Society. 24(3), 1045–1101. 
Urbanski, M., Das, T., Fishman, L., Simmons, D.  (2021). Extremality and Dynamically Defined Measures, Part II. Ergodic Theory and Dynamical Systems. 41, 2311-2348. 
Fishman, L., Crone, L., Hiers, N., Jackson, S. C. (2019). EQUIVALENCE OF THE ROTHBERGER AND 2-ROTHBERGER GAMES FOR HAUSDORFF SPACES. Topology and its Applications. 258, 172-176. 
Fishman, L., Broderick, R., Simmons, D.  (2019). QUANTITATIVE RESULTS USING VARIANTS OF SCHMIDT’S GAME: DIMENSION BOUNDS, ARITHMETIC PROGRESSIONS, AND MORE. Acta Arithmetica. 188, 289-316. 
Urbanski, M., Das, T., Fishman, L., Simmons, D.  (2019). Badly approximable points on self-affine sponges and the lower Assouad dimension. Ergodic Theory and Dynamical Systems. (39), 638-657. 
Fishman, L., Merrill, K., Simmons, D.  (2018). Hausdorff dimensions of very well intrinsically approximable subsets of quadratic hypersurfaces. Selecta Mathematica, New Series. 24(5), 3875-3888. 
Fishman, L., Merrill, K., Simmons, D.  (2018). Intrinsic Diophantine approximation on manifolds: general theory. Transactions of the American Mathematical Society. 370(1), 577-599. 
Fishman, L., Merrill, K., Simmons, D.  (2018). Uniformly de Bruijn sequences and symbolic Diophantine approximation on fractals. Annals of Combinatorics. 22(2), 271-293. 
Urbanski, M., Das, T., Fishman, L., Simmons, D.  (2018). Badly approximable vectors and fractals defined by conformal dynamical systems. Mathematical Research Letters. 25, 437--467. 
Urbanski, M., Das, T., Fishman, L., Simmons, D.  (2018). Extremality and Dynamically Defined Measures, Part I. Selecta Mathematica. 24, 2165-2206. 
Fishman, L., Urbanski, M., Das, T., Simmons, D.  (2017). A variational principle in the parametric geometry of numbers, with applications to metric Diophantine approximation. Comptes Rendus Mathématique. 355(8), 835-846. 
Fishman, L., Broderick, R., Simmons, D.  (2017). Decaying and non-decaying badly approximable numbers. Acta Arithmetica. 3513, 143-152. 
Fishman, L., Simmons, D.  (2017). Unconventional height functions in simultaneous Diophantine approximation. Monatshefte für Mathematik. 182(3), 587-618. 
Fishman, L., Reams, V., Simmons, D.  (2016). The Banach Mazur Schmidt game and the Banach Mazur McMullen game. Journal of Number Theory. 167, 169-179. 
Fishman, L., Simmons, D.  (2016). Variations on Dirichlet's theorem. Journal of Number Theory. 162, 11-22. 
Monograph
Urbanski, M., Fishman, L., Simmons, D.  (2018). Diophantine Approximation and the Geometry of Limit Sets in Gromov Hyperbolic Metric Spaces. Memoirs of the American Mathematical Society. 254(Issue: 1215), 1-137. Memoirs of American Mathematical Society. 



	
		
		
	  

	

	

  
    
	

	

	  

		

		   
Awarded Grants



  
  
  	  
          
Contracts, Grants and Sponsored Research  

 	 
	 	 
  
Grant - Research   
Fishman, L. (Principal), "Diophantine Approximation," Sponsored by Simons Foundation, Private, $35000 Funded. (2012 – 2017).
Grant - Teaching   
Fishman, L., "The Incubator project," Sponsored by UNT, University of North Texas, $20000 Funded. (2020 – 2020).



	
		
		
	  

	

	

	
	

  
  
  

  	

		

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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
      • 
					
    • 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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