Faculty Profile

Stephen Jackson

Title
Professor
Department
Mathematics
College
College of Science

    

    

      


                          

            
Curriculum Vitae

            

              Click Here to View Faculty CV
            

          

        
                          

            
Education

            



  

  


  
PhD, University of California, Los Angeles, 1983. 
Major: Mathematics
BS, California Institute of Technology, 1979. 
Major: Mathematics





          

        
                

          
Current Scheduled Teaching*


          
MATH 6950.733, Doctoral Dissertation, Spring 2024 
MATH 5320.001, Real Analysis, 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 4430.001, Introduction to Graph Theory, Fall 2023 Syllabus SPOT
                    

                    MATH 5310.001, Real Analysis, Fall 2023 Syllabus SPOT
                    

                    MATH 5900.731, Special Problems, Fall 2023 
                    

                    MATH 6950.721, Doctoral Dissertation, Spring 2023 
                    

                    MATH 5900.714, Special Problems, Spring 2023 
                    

                    MATH 5900.717, Special Problems, Spring 2023 
                    

                    MATH 5900.718, Special Problems, Spring 2023 
                    

                    MATH 5910.703, Special Problems, Spring 2023 
                    

                    MATH 5910.704, Special Problems, Spring 2023 
                    

                    MATH 5620.001, Topology, Spring 2023  SPOT
                    

                    MATH 6950.707, Doctoral Dissertation, Fall 2022 
                    

                    MATH 3000.001, Real Analysis I, Fall 2022 Syllabus SPOT
                    

                    MATH 5900.721, Special Problems, Fall 2022 
                    

                    MATH 5900.726, Special Problems, Fall 2022 
                    

                    MATH 5910.702, Special Problems, Fall 2022 
                    

                    MATH 6010.001, Topics in Logic and Foundations, Fall 2022  SPOT
                    

                    MATH 6950.701, Doctoral Dissertation, Summer 5W1 2022 
                    

                    MATH 6950.703, Doctoral Dissertation, Summer 10W 2022 
                    

                    MATH 6950.721, Doctoral Dissertation, Spring 2022 
                    

                    MATH 5900.715, Special Problems, Spring 2022 
                    

                    MATH 5900.720, Special Problems, Spring 2022 
                    

                    MATH 5910.704, Special Problems, Spring 2022 
                    

                    MATH 5910.706, Special Problems, Spring 2022 
                    

                    MATH 5620.001, Topology, Spring 2022  SPOT
                    

                    MATH 6950.706, Doctoral Dissertation, Fall 2021 
                    

                    MATH 4430.001, Introduction to Graph Theory, Fall 2021 Syllabus SPOT
                    

                    MATH 5900.709, Special Problems, Fall 2021 
                    

                    MATH 5900.713, Special Problems, Fall 2021 
                    

                    MATH 5610.001, Topology., Fall 2021  SPOT
                    

                    MATH 5610.601, Topology., Fall 2021  SPOT
                    

                    MATH 6950.712, Doctoral Dissertation, Spring 2021 
                    

                    MATH 4500.001, Introduction to Topology, Spring 2021 Syllabus SPOT
                    

                    MATH 5600.001, Introduction to Topology, Spring 2021  SPOT
                    

                    MATH 6900.705, Special Problems, Spring 2021 
                    

                    MATH 6950.713, Doctoral Dissertation, Fall 2020 
                    

                    MATH 2730.007, Multivariable Calculus, Fall 2020 Syllabus SPOT
                    

                    MATH 4900.706, Special Problems, Fall 2020 
                    

                    MATH 5900.705, Special Problems, Fall 2020 
                    

                    MATH 5900.713, Special Problems, Fall 2020 
                    

                    MATH 6900.713, Special Problems, Fall 2020 
                    

                    MATH 5610.001, Topology., Fall 2020  SPOT
                    

                    MATH 5610.002, Topology., Fall 2020  SPOT
                    

                    MATH 5610.011, Topology., Fall 2020 
                    

                    MATH 5610.601, Topology., Fall 2020  SPOT
                    

                    MATH 6950.712, Doctoral Dissertation, Spring 2020 
                    

                    MATH 5900.702, Special Problems, Spring 2020 
                    

                    MATH 5900.706, Special Problems, Spring 2020 
                    

                    MATH 6010.001, Topics in Logic and Foundations, Spring 2020 
                    

                    MATH 6950.713, Doctoral Dissertation, Fall 2019 
                    

                    MATH 2700.001, Linear Algebra and Vector Geometry, Fall 2019 Syllabus SPOT
                    

                    MATH 2700.009, Linear Algebra and Vector Geometry, Fall 2019 Syllabus SPOT
                    

                    MATH 5900.709, Special Problems, Fall 2019 
                    

                    MATH 5900.713, Special Problems, Fall 2019 
                    

                    MATH 6900.713, Special Problems, Fall 2019 
                    

                    MATH 6950.702, Doctoral Dissertation, Summer 5W2 2019 
                    

                    MATH 6950.714, Doctoral Dissertation, Spring 2019 
                    

                    MATH 6950.726, Doctoral Dissertation, Spring 2019 
                    

                    MATH 4900.702, Special Problems, Spring 2019 
                    

                    MATH 5900.709, Special Problems, Spring 2019 
                    

                    MATH 6900.710, Special Problems, Spring 2019 
                    

                    MATH 5620.001, Topology, Spring 2019  SPOT
                    

                    MATH 6950.713, Doctoral Dissertation, Fall 2018 
                    

                    MATH 6950.725, Doctoral Dissertation, Fall 2018 
                    

                    MATH 2700.001, Linear Algebra and Vector Geometry, Fall 2018 Syllabus SPOT
                    

                    MATH 4900.703, Special Problems, Fall 2018 
                    

                    MATH 5900.709, Special Problems, Fall 2018 
                    

                    MATH 5610.001, Topology., Fall 2018  SPOT
                    

                    MATH 6950.714, Doctoral Dissertation, Spring 2018 
                    

                    MATH 6950.726, Doctoral Dissertation, Spring 2018 
                    

                    MATH 5900.703, Special Problems, Spring 2018 
                    

                    MATH 6010.001, Topics in Logic and Foundations, Spring 2018  SPOT
                    

                    MATH 5620.001, Topology, Spring 2018  SPOT
                    

                    MATH 6950.713, Doctoral Dissertation, Fall 2017 
                    

                    MATH 6950.725, Doctoral Dissertation, Fall 2017 
                    

                    MATH 2700.001, Linear Algebra and Vector Geometry, Fall 2017 Syllabus SPOT
                    

                    MATH 5900.709, Special Problems, Fall 2017 
                    

                    MATH 5900.713, Special Problems, Fall 2017 
                    

                    MATH 5900.714, Special Problems, Fall 2017 
                    

                    MATH 5610.001, Topology., Fall 2017  SPOT
                    

                    MATH 6950.714, Doctoral Dissertation, Spring 2017 
                    

                    MATH 4500.001, Introduction to Topology, Spring 2017 Syllabus SPOT
                    

                    MATH 5600.001, Introduction to Topology, Spring 2017  SPOT
                    

                    MATH 5020.001, Mathematical Logic and Set Theory, Spring 2017  SPOT
                    

                    MATH 5900.714, Special Problems, Spring 2017 
                    

                    MATH 6950.713, Doctoral Dissertation, Fall 2016 
                    

                    MATH 4010.001, Introduction to Metamathematics, Fall 2016 Syllabus SPOT
                    

                    MATH 2700.003, Linear Algebra and Vector Geometry, Fall 2016 Syllabus SPOT
                    

                    MATH 5010.001, Mathematical Logic and Set Theory, Fall 2016  SPOT
                    

                    MATH 5900.713, Special Problems, Fall 2016 
                    

                    MATH 6900.713, Special Problems, Fall 2016 
                    

                    MATH 5420.001, COMPLEX VARIABLE, Spring 2016  SPOT
                    

                    MATH 6950.714, Doctoral Dissertation, Spring 2016 
                    

                    MATH 5900.714, Special Problems, Spring 2016 
                    

                    MATH 6900.714, Special Problems, Spring 2016 
                    

                    MATH 6010.001, Topics in Logic and Foundations, Spring 2016 
                    

                    MATH 6950.711, Doctoral Dissertation, Fall 2015 
                    

                    MATH 5410.002, Functions of a Complex Variable, Fall 2015  SPOT
                    

                    MATH 2700.001, Linear Algebra and Vector Geometry, Fall 2015  SPOT
                    

                    MATH 5900.713, Special Problems, Fall 2015 
                    

                    MATH 6900.713, Special Problems, Fall 2015 
                    

                    MATH 6950.701, Doctoral Dissertation, Summer 10W 2015 
                    

                    MATH 6950.703, Doctoral Dissertation, Summer 5W1 2015 
                    

                    MATH 5420.001, COMPLEX VARIABLE, Spring 2015 
                    

                    MATH 6950.714, Doctoral Dissertation, Spring 2015 
                    

                    MATH 6900.714, Special Problems, Spring 2015 
                    

                    MATH 6010.001, Topics in Logic and Foundations, Spring 2015 
                    

                    MATH 6950.711, Doctoral Dissertation, Fall 2014 
                    

                    MATH 5410.002, Functions of a Complex Variable, Fall 2014 
                    

                    MATH 6940.711, Individual Research, Fall 2014 
                    

                    MATH 4010.001, Introduction to Metamathematics, Fall 2014 Syllabus
                    

                    MATH 5010.001, Mathematical Logic and Set Theory, Fall 2014 
                    

                    MATH 5900.708, Special Problems, Fall 2014 
                    

                    MATH 6900.711, Special Problems, Fall 2014 
                    

                    MATH 6900.761, Special Problems, Fall 2014 
                    

                    MATH 6950.714, Doctoral Dissertation, Spring 2014 
                    

                    MATH 2730.005, Multivariable Calculus, Spring 2014 Syllabus
                    

                    MATH 5900.714, Special Problems, Spring 2014 
                    

                    MATH 6900.714, Special Problems, Spring 2014 
                    

                    MATH 6910.714, Special Problems, Spring 2014 
                    

                    MATH 6010.001, Topics in Logic and Foundations, Spring 2014 
                    

                    MATH 6940.711, Individual Research, Fall 2013 
                    

                    MATH 4520.001, Introduction to Functions of a Complex Variable, Fall 2013 Syllabus
                    

                    MATH 5400.001, Introduction to Functions of a Complex Variable, Fall 2013 
                    

                    MATH 5900.708, Special Problems, Fall 2013 
                    

                    MATH 6900.711, Special Problems, Fall 2013 
                    

                    MATH 6910.711, Special Problems, Fall 2013 
                    

                    MATH 6010.001, Topics in Logic and Foundations, Fall 2013 
                    

                    MATH 5900.704, Special Problems, Summer 5W1 2013 
                    

                    MATH 6950.713, Doctoral Dissertation, Spring 2013 
                    

                    MATH 6940.703, Individual Research, Spring 2013 
                    

                    MATH 4500.001, Introduction to Topology, Spring 2013 Syllabus
                    

                    MATH 5600.001, Introduction to Topology, Spring 2013 
                    

                    MATH 4900.713, Special Problems, Spring 2013 
                    

                    MATH 5900.711, Special Problems, Spring 2013 
                    

                    MATH 5900.714, Special Problems, Spring 2013 
                    

                    MATH 6900.710, Special Problems, Spring 2013 
                    

                    MATH 6910.704, Special Problems, Spring 2013 
                    

                    MATH 5620.001, Topology, Spring 2013 
                    

                    MATH 6950.711, Doctoral Dissertation, Fall 2012 
                    

                    MATH 6940.711, Individual Research, Fall 2012 
                    

                    MATH 5900.708, Special Problems, Fall 2012 
                    

                    MATH 6900.711, Special Problems, Fall 2012 
                    

                    MATH 6910.711, Special Problems, Fall 2012 
                    

                    MATH 5610.001, Topology., Fall 2012 
                    

                    MATH 3740.001, Vector Calculus, Fall 2012 Syllabus
                    

                    MATH 4900.702, Special Problems, Summer 5W2 2012 
                    

                    MATH 3420.001, Differential Equations II, Spring 2012 Syllabus
                    

                    MATH 6950.713, Doctoral Dissertation, Spring 2012 
                    

                    MATH 5900.711, Special Problems, Spring 2012 
                    

                    MATH 6900.710, Special Problems, Spring 2012 
                    

                    MATH 6010.001, Topics in Logic and Foundations, Spring 2012 
                    

                    MATH 6950.711, Doctoral Dissertation, Fall 2011 
                    

                    MATH 3510.001, Introduction to Abstract Algebra, Fall 2011 Syllabus
                    

                    MATH 4900.714, Special Problems, Fall 2011 
                    

                    MATH 6900.711, Special Problems, Fall 2011 
                    

                    MATH 6900.761, Special Problems, Fall 2011 
                    

                    MATH 6010.001, Topics in Logic and Foundations, Fall 2011 
                    

                    MATH 4900.710, Special Problems, Summer 5W2 2011 
                    

                    MATH 6950.713, Doctoral Dissertation, Spring 2011 
                    

                    MATH 2700.004, Linear Algebra and Vector Geometry, Spring 2011 Syllabus
                    

                    MATH 5900.711, Special Problems, Spring 2011 
                    

                    MATH 5900.714, Special Problems, Spring 2011 
                    

                    MATH 5620.001, Topology, Spring 2011 
                    

                    MATH 4520.001, Introduction to Functions of a Complex Variable, Fall 2010 Syllabus
                    

                    MATH 3000.003, Real Analysis I, Fall 2010 Syllabus
                    

                    MATH 5900.708, Special Problems, Fall 2010 
                    

                    MATH 5900.761, Special Problems, Summer 5W2 2010 
                    

                    MATH 5900.761, Special Problems, Summer 5W1 2010 
                    

                    MATH 5910.711, Special Problems, Summer 5W1 2010 
                    

                    MATH 6900.761, Special Problems, Summer 5W2 2010 
                    

                    MATH 3410.003, Differential Equations I, Spring 2010 Syllabus
                    

                    MATH 6950.710, Doctoral Dissertation, Spring 2010 
                    

                    MATH 4900.706, Special Problems, Spring 2010 
                    

                    MATH 5900.710, Special Problems, Spring 2010 
                    

                    MATH 5620.001, Topology, Spring 2010 
                    

                    MATH 6950.711, Doctoral Dissertation, Fall 2009 
                    

                    MATH 2700.001, Linear Algebra and Vector Geometry, Fall 2009 Syllabus
                    

                    MATH 4900.714, Special Problems, Fall 2009 
                    

                    MATH 5900.708, Special Problems, Fall 2009 
                    

                    MATH 5610.001, Topology., Fall 2009 
                    

                    MATH 3520.001, Abstract Algebra II, Spring 2009 
                    

                    MATH 1710.624, Calculus I, Spring 2009 
                    

                    MATH 6950.710, Doctoral Dissertation, Spring 2009 
                    

                    MATH 6950.711, Doctoral Dissertation, Fall 2008 
                    

                    MATH 3510.002, Introduction to Abstract Algebra, Fall 2008 
                    

                    MATH 1650.624, Pre Calculus, Fall 2008 
                    

                    MATH 2730.001, Multivariable Calculus, Spring 2008 
                    

                    MATH 4900.706, Special Problems, Spring 2008 
                    

                    MATH 5900.710, Special Problems, Spring 2008 
                    

                    MATH 6900.710, Special Problems, Spring 2008 
                    

                    MATH 5620.001, Topology, Spring 2008 
                    

                    MATH 4430.002, Introduction to Graph Theory, Fall 2007 
                    

                    MATH 5610.001, Topology., Fall 2007 
                    

                    MATH 5900.761, Special Problems, Summer 5W1 2007 
                    

                    MATH 5900.753, Special Problems, Spring 2007 
                    

                    MATH 6010.001, Topics in Logic and Foundations, Spring 2007 
                    

                    MATH 2510.002, Real Analysis I, Fall 2006 
                    

                    MATH 4900.714, Special Problems, Fall 2006 
                    

                    MATH 6010.001, Topics in Logic and Foundations, Fall 2006 
                    

                    MATH 6950.711, Doctoral Dissertation, Summer 5W1 2006 
                    

                    MATH 6900.711, Special Problems, Summer 5W1 2006 
                    

                    MATH 2770.002, Discrete Mathematical Structures, Spring 2006 
                    

                    MATH 6950.710, Doctoral Dissertation, Spring 2006 
                    

                    MATH 5900.710, Special Problems, Spring 2006 
                    

                    MATH 6900.710, Special Problems, Spring 2006 
                    

                    MATH 6910.710, Special Problems, Spring 2006 
                    

                    MATH 6950.711, Doctoral Dissertation, Fall 2005 
                    

                    MATH 4520.001, Introduction to Functions of a Complex Variable, Fall 2005 
                    

                    MATH 5400.001, Introduction to Functions of a Complex Variable, Fall 2005 
                    

                    MATH 2700.002, Linear Algebra and Vector Geometry, Fall 2005 
                    

                    MATH 4900.710, Special Problems, Summer 5W2 2005 
                    

                    MATH 5620.001, Topology, Spring 2005 
                    

                    MATH 2700.002, Linear Algebra and Vector Geometry, Fall 2004 
                    

                    MATH 5610.001, Topology., 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


  
Abstracts and Proceedings
Jackson, S. C. (2002). Sets Meeting Isometric Copies of the lattice Z2 In Exactly one Point. 
Book Chapter
Jackson, S. C. (2018). Towards a Theory of Definable Sets. Proceedings to the International Congress of Mathematicians 2018. 1, 25-44. 
Jackson, S.  (2012). Projective ordinals. Introduction to Part IV. Wadge degrees and projective ordinals. The Cabal Seminar. Volume II. 37, 199--269. Assoc. Symbol. Logic, La Jolla, CA. 
Jackson, S.  (2012). Regular cardinals without the weak partition property. Wadge degrees and projective ordinals. The Cabal Seminar. Volume II. 37, 509--517. Assoc. Symbol. Logic, La Jolla, CA. 
Jackson, S.  (2010). Cardinal structure under AD. Logic Colloquium 2007. 35, 92--131. Assoc. Symbol. Logic, La Jolla, CA. 
Jackson, S.  (2010). Structural consequences of AD. Handbook of set theory. Vols. 1, 2, 3. 1753--1876. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-5764-9_22
Jackson, S.  (2008). Suslin cardinals, partition properties, homogeneity. Introduction to Part II. Games, scales, and Suslin cardinals. The Cabal Seminar. Vol. I. 31, 273--313. Assoc. Symbol. Logic, Chicago, IL. https://doi.org/10.1017/CBO9780511546488.015
Boykin, C. M., Jackson, S.  (2007). Borel boundedness and the lattice rounding property. Advances in logic. 425, 113--126. Amer. Math. Soc., Providence, RI. https://doi.org/10.1090/conm/425/08121
Boykin, C. M., Jackson, S.  (2006). Some applications of regular markers. Logic Colloquium '03. 24, 38--55. Assoc. Symbol. Logic, La Jolla, CA. 
Jackson, S.  (1992). Admissibility and Mahloness in $L({\bf R})$. Set theory of the continuum (Berkeley, CA, 1989). 26, 63--74. Springer, New York. https://doi.org/10.1007/978-1-4613-9754-0_5
Jackson, S.  (1988). ${\rm AD}$ and the projective ordinals. Cabal Seminar 81--85. 1333, 117--220. Springer, Berlin. https://doi.org/10.1007/BFb0084974
Jackson, S., Martin, D. A. (1983). Pointclasses and well-ordered unions. Cabal seminar 79--81. 1019, 56--66. Springer, Berlin. https://doi.org/10.1007/BFb0071693
Conference Proceeding
Gao, S., Jackson, S. C., Zhang, Y.  (2007). Advances in Logic. The North Texas Logic Conference, October 8-10, 2004, University of North Texas, Denton. Contemporary Mathematics.  Providence, RI: American Mathematical Society. 
Journal Article
Allaart, P. C., Jackson, S. C., Jones, R. T., Lambert, D.  (2023). On the existence of numbers with matching continued fraction and decimal expansions. Monatshefte für Mathematik. 202(1), 1-30. 
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. 
Jackson, S. C., Conley, C., Marks, A., Seward, B., Tucker-Drob, R.  (2023). Borel Asymptotic Dimension and Hyperfinite Equivalence Relations. Duke Mathematical Journal. 176(16), 3175-3226. 
Jackson, S. C., Creiner, A.  (2023). Borel Complexity and Ramsey Largeness of Sets of Oracles Separating Complexity Classes. Mathematical Logic Quarterly. 63(3), 267-286. 
Fishman, L., Jackson, S. C., Crone, L.  (2022). Equivalence Relations and Determinacy. Journal of Mathematical Logic. 22(1), 19. 
Jackson, S. C., Mance, W., Roth, S.  (2022). A Non-Borel Special Alpha Limit Set in the Plane. Ergodic Theory and Dynamical Systems. 42(8), 2550-2560. 
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), . 
Jackson, S. C., Chan, W.  (2021). Definable Combinatorics at the First Uncountable Cardinal. Transactions of the American Mathematical Society. 374(3), 2035-2056. 
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/
Jackson, S. C., Crone, L., Fishman, L.  Equivalence Relations and Determinacy. Journal of Mathematical Logic. 22(1), 19. 
Jackson, S. C., Chan, W.  (2021). The destruction of the Axiom of Determinacy by forcings on R when Theta is regular.. Israel Journal of Mathematics. 241, 119-138. 
Jackson, S. C., Airey, D., Mance, W.  (2020). Some Complexity Results in the Theory of Normal Numbers. Canadian Journal of Mathematics. 1-29. 
Jackson, S. C., Airey, D., Mance, W.  Descriptive Complexity in Cantor Series. Journal of Symbolic Logic. 
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. 
Jackson, S. C., Conley, C., Marks, A., Seward, B., Tucker-Drob, R.  Hyperfiniteness and Borel combinatorics. Journal of the European Mathematical Society. 22(3), 877-892. 
Jackson, S. C., Chan, W.  (2019). L(R) with Determinacy Satisfies the Suslin Hypothesis. Advances in Mathematics. 346, 305-328. Elsevier. 
Conley, C. T., Jackson, S. C., Kerr, D., Marks, A. S., Seward, B., Tucker-Drob, R. D. (2018). F\o lner tilings for actions of amenable groups. Other. 371(1-2), 663--683. https://doi.org/10.1007/s00208-017-1633-0
Henkis, D., Jackson, S., Lobe, J.  (2017). Restricted Steinhaus sets in the plane. Other. 238(2), 153--166. https://doi.org/10.4064/fm260-7-2016
Jackson, S., Khafizov, F. T. (2016). Descriptions and cardinals below $\delta_5^1$. Other. 81(4), 1177--1224. https://doi.org/10.1017/jsl.2016.7
Henkis, D., Jackson, S., Lobe, J.  (2016). The finite Steinhaus problem. Other. 67(4), 551--564. 
Backs, K., Jackson, S., Mauldin, R. D. (2015). CH, $\bold V=\bold L$, disintegration of measures, and $\Pi_1^1$ sets. Other. 274, 76--96. https://doi.org/10.1016/j.aim.2014.12.011
Gao, S., Jackson, S.  (2015). Countable abelian group actions and hyperfinite equivalence relations. Inventiones Mathematicae. 201(1), 309-383. 
Jackson, S. C., Ketchersid, R., Schlutzenberg, F., Woodin, W. H. (2014). Determinacy and J\'onsson cardinals in $L(\Bbb R)$. Other. 79(4), 1184--1198. https://doi.org/10.1017/jsl.2014.49
Jackson, S., L\"owe, Benedikt,  (2013). Canonical measure assignments. Other. 78(2), 403--424. http://projecteuclid.org/euclid.jsl/1368627057
Apter, A. W., Jackson, S. C., L\"owe, Benedikt,  (2013). Cofinality and measurability of the first three uncountable cardinals. Other. 365(1), 59--98. https://doi.org/10.1090/S0002-9947-2012-05497-3
Gao, S., Jackson, S. C., Sari, B.  (2011). On the complexity of the uniform homeomorphism relation between separable Banach spaces. Transactions of the American Mathematical Society. 363(6), 3071-3099. 
Gao, S., Jackson, S. C., Sari, B.  (2011). On the complexity of the uniform homeomorphism relation between separable Banach spaces. Transactions of the American Mathematical Society. 363(6), 3071-3099. 
Gao, S., Jackson, S. C., Kieftenbeld, V.  (2010). The Laczkovich-Komjath property for coanalytic equivalence relations. The Journal of Symbolic Logic. 75(3), 1091-1101. 
Gao, S., Jackson, S. C., Seward, B.  (2009). A coloring property for countable groups. Mathematical Proceedings of the Cambridge Philosophical Society. 147(3), 579-592. 
Gao, S., Jackson, S. C., Kieftenbeld, V.  (2008). A classification of ordinals up to Borel isomorphism. Fundamenta Mathematicae. 198, 61-76. 
Gao, S., Jackson, S. C., Lazkovich, M., Mauldin, R. D. (2008). On unique representation of families of sets. Transactions of the American Mathematical Society. 360(2), 939-958. 
Jackson, S. C. (2008). Suslin Cardinals, Partition Properties, and Homogeneity. 
Jackson, S., May, R.  (2004). The strong partition relation on $\omega_1$ revisited. Other. 50(1), 33--40. https://doi.org/10.1002/malq.200310073
Jackson, S., Mauldin, R. D. (2003). Survey of the Steinhaus tiling problem. Other. 9(3), 335--361. https://doi.org/10.2178/bsl/1058448676
Jackson, S. C., Kechris, A. S., Louveau, A.  (2002). Countable Borel equivalence relations. Other. 2(1), 1--80. https://doi.org/10.1142/S0219061302000138
Freiling, C., Jackson, S.  (2002). Infinite block maps and generalized Bernoulli measures. Other. (26th Summer Symposium Conference, suppl.), 11--34. 
Jackson, S., Mauldin, R. D. (2002). On a lattice problem of H. Steinhaus. Other. 15(4), 817--856. https://doi.org/10.1090/S0894-0347-02-00400-9
Jackson, S., Mauldin, R. D. (2002). Sets meeting isometric copies of the lattice ${\bf Z}^2$ in exactly one point. Other. 99(25), 15883--15887. https://doi.org/10.1073/pnas.222551699
Becker, H., Jackson, S.  (2001). Supercompactness within the projective hierarchy. Other. 66(2), 658--672. https://doi.org/10.2307/2695035
Jackson, S.  (2001). The weak square property. Other. 66(2), 640--657. https://doi.org/10.2307/2695034
Apter, A. W., Henle, J. M., Jackson, S. C. (2000). The calculus of partition sequences, changing cofinalities, and a question of Woodin. Other. 352(3), 969--1003. https://doi.org/10.1090/S0002-9947-99-02554-4
Jackson, S.  (1999). A computation of $\delta^1_5$. Other. 140(670), viii+94. https://doi.org/10.1090/memo/0670
Jackson, S., Mauldin, R. D. (1999). On the $\sigma$-class generated by open balls. Other. 127(1), 99--108. https://doi.org/10.1017/S0305004199003552
Erd\Hos, P.,, Jackson, S., Mauldin, R. D. (1997). On infinite partitions of lines and space. Other. 152(1), 75--95. 
Jackson, S. C., Zamboni, L. Q. (1995). A note on a theorem of Chiswell. Other. 123(9), 2629--2631. https://doi.org/10.2307/2160553
Jackson, S., Mauldin, R. D. (1994). Borel measurable selections of Paretian utility functions. Other. 23(4), 361--378. https://doi.org/10.1016/0304-4068(94)90019-1
Erd\Hos, P.,, Jackson, S., Mauldin, R. D. (1994). On partitions of lines and space. Other. 145(2), 101--119. 
Brand, N., Jackson, S.  (1994). Properties of classes of random graphs. Other. 3(4), 435--454. https://doi.org/10.1017/S0963548300001346
Dougherty, R., Jackson, S. C., Kechris, A. S. (1994). The structure of hyperfinite Borel equivalence relations. Other. 341(1), 193--225. https://doi.org/10.2307/2154620
Jackson, S., Mauldin, R. D. (1992). Some complexity results in topology and analysis. Other. 141(1), 75--83. https://doi.org/10.4064/fm-141-1-75-83
Jackson, S.  (1991). Admissible Suslin cardinals in $L({\bf R})$. Other. 56(1), 260--275. https://doi.org/10.2307/2274918
Jackson, S., Mauldin, R. D. (1991). Nonuniformization results for the projective hierarchy. Other. 56(2), 742--748. https://doi.org/10.2307/2274715
Jackson, S.  (1990). A new proof of the strong partition relation on $\omega_1$. Other. 320(2), 737--745. https://doi.org/10.2307/2001700
Jackson, S.  (1990). An unboundedness property for norms of length $\geq \omega_2$. Other. 109(2), 487--491. https://doi.org/10.2307/2048012
Jackson, S.  (1990). Partition properties and well-ordered sequences. Other. 48(1), 81--101. https://doi.org/10.1016/0168-0072(90)90081-C
Jackson, S.  (1989). AD and the very fine structure of $L({\bf R})$. Other. 21(1), 77--81. https://doi.org/10.1090/S0273-0979-1989-15766-2
Monograph
Gao, S., Seward, B., Jackson, S. C. (2016). Group colorings and Bernoulli subflows. Memoirs of the American Mathematical Society. 241(1141), vi+241pp. 
Popular Press Article
Jackson, S. C. (1989). Bulletin Announcement: AD and the Projective Ordinals. 
Scholarly Note
Jackson, S. C., Martin, D. A. (2022). Kunen's work on Determinacy and Descriptive Set Theory (Notices of the AMS). Notices of the American Mathematical Society. 69(10), 1763-1765. 



	
		
		
	  

	

	

  
    
	

	

	  

		

		   
Awarded Grants



  
  
  	  
          
Contracts, Grants and Sponsored Research  

 	 
	 	 
  
Grant - Research   
Jackson, S. C., Gao, S., "Descriptive Dynamics and Borel Combinatorics of Group Actions," Sponsored by National Science Foundation, Federal, $270000 Funded. (June 1, 2018 – May 31, 2022).
Urbanski, M. (Co-Principal), Gao, S. (Principal), D. (Co-Principal), Jackson, S. C. (Co-Principal), "Research Training Group in Logic  and Dynamics [NSF]," Sponsored by UNT, Federal, $1500000 Funded. (May 15, 2010 – April 30, 2016).



	
		
		
	  

	

	

	
	

  
  
  

  	

		

		,  
			
				

					
					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