Faculty Profile

Su Gao

Title
Professor
Department
Mathematics
College
College of Science

    

Education

PhD, University of California, Los Angeles, 1998.
Major: Mathematics
Dissertation Title: The isomorphism relation between countable models and definable equivalence relations
MA, Nankai University, 1992.
Major: Mathematics
BS, Beijing University, 1989.
Major: Mathematics

Current Scheduled Teaching*

No current or future courses scheduled.

* 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 6910.703, Special Problems, Spring 2021
MATH 6910.701, Special Problems, Fall 2020
MATH 6950.712, Doctoral Dissertation, Spring 2019
MATH 5900.706, Special Problems, Spring 2019
MATH 6950.711, Doctoral Dissertation, Fall 2018
MATH 6950.712, Doctoral Dissertation, Spring 2018
MATH 6950.706, Doctoral Dissertation, Fall 2017
MATH 6950.711, Doctoral Dissertation, Fall 2017
MATH 6950.702, Doctoral Dissertation, Summer 10W 2017
MATH 6950.712, Doctoral Dissertation, Spring 2017
MATH 6900.712, Special Problems, Spring 2017
MATH 6950.711, Doctoral Dissertation, Fall 2016
BIOL 4900.773, Special Problems, Fall 2016
MATH 6900.711, Special Problems, Fall 2016
MATH 3510.002, Abstract Algebra I, Spring 2016 Syllabus SPOT
MATH 6950.712, Doctoral Dissertation, Spring 2016
MATH 5900.712, Special Problems, Spring 2016
MATH 6900.712, Special Problems, Spring 2016
MATH 6950.707, Doctoral Dissertation, Fall 2015
MATH 6900.711, Special Problems, Fall 2015
MATH 6950.712, Doctoral Dissertation, Spring 2015
MATH 5900.712, Special Problems, Spring 2015
MATH 6900.712, Special Problems, Spring 2015
MATH 5900.722, Special Problems, Fall 2014
MATH 6900.724, Special Problems, Fall 2014
MATH 6910.775, Special Problems, Fall 2014
MATH 6900.712, Special Problems, Spring 2014
MATH 6910.712, Special Problems, Spring 2014
MATH 5270.001, Mathematical Theory of Computation, Fall 2013
MATH 6900.724, Special Problems, Fall 2013
MATH 6950.706, Doctoral Dissertation, Spring 2013
MATH 6900.714, Special Problems, Spring 2013
MATH 6900.715, Special Problems, Spring 2013
MATH 6950.707, Doctoral Dissertation, Fall 2012
MATH 1650.623, Pre Calculus, Fall 2012 Syllabus
MATH 5900.722, Special Problems, Fall 2012
MATH 6950.705, Doctoral Dissertation, Summer 5W1 2012
MATH 6950.706, Doctoral Dissertation, Spring 2012
MATH 5900.718, Special Problems, Spring 2012
MATH 6950.707, Doctoral Dissertation, Fall 2011
MATH 6950.706, Doctoral Dissertation, Spring 2011
MATH 5020.001, Mathematical Logic and Set Theory, Spring 2011
MATH 4900.706, Special Problems, Spring 2011
MATH 6950.707, Doctoral Dissertation, Fall 2010
MATH 4980.001, Experimental Course, Fall 2010 Syllabus
MATH 5010.001, Mathematical Logic and Set Theory, Fall 2010
MATH 6900.705, Special Problems, Summer 5W2 2010
MATH 6900.724, Special Problems, Summer 5W2 2010
MATH 6910.703, Special Problems, Summer 5W1 2010
MATH 6910.709, Special Problems, Summer 5W2 2010
MATH 1710.623, Calculus I, Spring 2010
MATH 6950.706, Doctoral Dissertation, Spring 2010
MATH 6900.721, Special Problems, Spring 2010
MATH 6910.707, Special Problems, Spring 2010
MATH 6950.707, Doctoral Dissertation, Fall 2009
MATH 2730.004, Multivariable Calculus, Fall 2009
MATH 2730.500, Multivariable Calculus, Fall 2009
MATH 1650.623, Pre Calculus, Fall 2009
MATH 6900.724, Special Problems, Fall 2009
MATH 6950.705, Doctoral Dissertation, Summer 5W1 2009
MATH 5950.705, Master's Thesis, Summer 5W1 2009
MATH 5900.704, Special Problems, Summer 5W1 2009
MATH 6950.706, Doctoral Dissertation, Spring 2009
MATH 5950.721, Master's Thesis, Spring 2009
MATH 5900.713, Special Problems, Spring 2009
MATH 6900.721, Special Problems, Spring 2009
MATH 6610.001, Topics in Topology and Geometry, Spring 2009
MATH 6950.707, Doctoral Dissertation, Fall 2008
MATH 2730.004, Multivariable Calculus, Fall 2008
MATH 2730.500, Multivariable Calculus, Fall 2008
MATH 6900.724, Special Problems, Fall 2008
MATH 6610.001, Topics in Topology and Geometry, Fall 2008
MATH 5900.704, Special Problems, Summer 5W1 2008
MATH 5900.704, Special Problems, Summer 5W2 2008
MATH 6950.706, Doctoral Dissertation, Spring 2008
MATH 5900.713, Special Problems, Spring 2008
MATH 6950.707, Doctoral Dissertation, Fall 2007
MATH 3510.001, Introduction to Abstract Algebra, Fall 2007
MATH 5950.709, Master's Thesis, Fall 2007
MATH 2730.001, Multivariable Calculus, Fall 2007
MATH 5900.708, Special Problems, Fall 2007
MATH 5900.769, Special Problems, Fall 2007
MATH 5900.774, Special Problems, Fall 2007
MATH 5910.708, Special Problems, Fall 2007
MATH 6900.724, Special Problems, Fall 2007
MATH 6950.001, Doctoral Dissertation, Summer 8W1 2007
MATH 5900.704, Special Problems, Summer 5W2 2007
MATH 5910.700, Special Problems, Summer 3W1 2007
MATH 6900.700, Special Problems, Summer 8W1 2007
MATH 1720.006, Calculus II, Spring 2007
MATH 6950.706, Doctoral Dissertation, Spring 2007
MATH 5900.713, Special Problems, Spring 2007
MATH 5910.701, Special Problems, Spring 2007
MATH 6900.721, Special Problems, Spring 2007
MATH 5620.001, Topology, Spring 2007
MATH 1710.010, Calculus I, Fall 2006
MATH 5900.708, Special Problems, Fall 2006
MATH 6900.724, Special Problems, Fall 2006
MATH 5610.001, Topology., Fall 2006
MATH 5910.768, Special Problems, Summer 5W1 2006
MATH 4060.001, Foundations of Geometry, Spring 2006
MATH 4910.702, Special Problems, Spring 2006
MATH 5900.713, Special Problems, Spring 2006
MATH 5910.001, Special Problems, Spring 2006
MATH 5910.701, Special Problems, Spring 2006
MATH 5620.001, Topology, Spring 2006
MATH 6900.724, Special Problems, Fall 2005
MATH 5610.001, Topology., Fall 2005
MATH 4900.712, Special Problems, Summer 5W2 2005
MATH 4500.001, Introduction to Topology, Spring 2005
MATH 5600.001, Introduction to Topology, Spring 2005
MATH 1650.300, Pre Calculus, Spring 2005
MATH 5900.713, Special Problems, Spring 2005
MATH 5910.001, Special Problems, Spring 2005
MATH 5910.701, Special Problems, Spring 2005
MATH 1720.002, Calculus II, Fall 2004
MATH 2770.001, Discrete Mathematical Structures, Fall 2004
MATH 5900.708, 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

Book
Gao, S. (2009). Invariant Descriptive Set Theory. Taylor & Francis Group.
Conference Proceeding
Gao, S. (2013). Faithful representations of Polishable ideals.
Gao, S., Blass, A., Zhang, Y. (2009). Methods of Logic in Mathematics. Annals of Pure and Applied Logic. 158(3), .
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.
Gao, S., Miller, A. W., Weiss, W. A. (2007). Steinhaus sets and Jackson sets. Contemporary Mathematics. 425, 127-145. Providence, RI: American Mathematical Society.
Gao, S. (2006). Equivalence relations and classical Banach spaces. Other. World Scientific.
Gao, S., Vershik, A., Zhang, Y. (2006). International Meeting on Logic, Algebra, and Geometry. Held in St. Petersburg 1-7, 2004. Annals of Pure and Applied Logic. 143(1-3), .
Gao, S. (2005). Unitary group actions and Hilbertian Polish metric spaces. Contemporary Mathematics. 380, 53-72. Providence, RI: American Mathematical Society.
Journal Article
Gao, S., Ding, L. (2017). Non-archimedean abelian Polish groups and their actions. Advances in Mathematics. 307, 312-343.
Gao, S., Chang, C. (2017). The complexity of the classification problem of continua. Proceedings of the American Mathematical Society. 145(3), 1329-1342.
Gao, S., Hill, A. (2016). Bounded rank-one transformations. Journal d'Analyse Mathematique. 129, 341-365.
Gao, S., Hill, A. (2016). Topological isomorphism for rank-1 systems. Journal d'Analyse Mathematique. 128(1), 1-49.
Gao, S., Yin, Z. (2015). A note on equivalence relations lp(lq). Mathematical Logic Quarterly. 61(6), 516-523.
Gao, S., Jackson, S. (2015). Countable abelian group actions and hyperfinite equivalence relations. Inventiones Mathematicae. 201(1), 309-383.
Gao, S., Hill, A. (2014). A model for rank one measure preserving transformations. Topology and its Applications. 174, 25-40.
Gao, S., Ding, L. (2014). Is there a Spectral Theory for all bounded linear operators?. 61(7), 730-735.
Gao, S., Xuan, M. (2014). On non-Archimedean Polish groups with two-sided invariant metrics. Topology and its Applications. 161, 343-353.
Gao, S. (2013). Graev ultrametrics and surjectively universal non-Archimedean Polish groups. Topology and its Applications. 160, 826-870.
Gao, S., Ding, L. (2013). On the Borelness of the intersection operation. Issues in Integrative Studies Online. 195(2), 783-800.
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., Shao, C. (2011). Polish ultrametric Urysohn spaces and their isometry groups. Topology and its Applications. 158, 492-508.
Gao, S., Kieftenbeld, V. (2010). Resolvable maps preserve complete metrizability. Proceedings of the American Mathematical Society. 138(6), 2245-2252.
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., van den Dries, L. (2009). A Polish group without Lie sums. Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg. 79, 135-147.
Gao, S., Jackson, S. C., Kieftenbeld, V. (2008). A classification of ordinals up to Borel isomorphism. Fundamenta Mathematicae. 198, 61-76.
Gao, S., Oliver, M. R. (2008). Borel complexity of isomorphism between quotient Boolean algebras. The Journal of Symbolic Logic. 73(4), 1328-1340.
Gao, S., Zhang, Y. (2008). Definable sets of generators in maximal cofinitary groups. Advances in Mathematics. 217, 814-832.
Gao, S., Ding, L. (2008). On separable Banach subspaces. Journal of Mathematical Analysis and Applications. 340, 746-751.
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.
Gao, S. (2007). Complexity ranks of countable models. Notre Dame Journal of Formal Logic. 48(1), 33-48.
Gao, S., Ding, L. (2007). Graev metric groups and Polishable subgroups. Advances in Mathematics. 213, 887-901.
Gao, S., Ding, L. (2007). New metrics on free groups. Topology and its Applications. 154, 410-420.
Gao, S., Ding, L. (2007). On generalizations of Lavrentiev's theorem for Polish group actions. Transactions of the American Mathematical Society. 359(1), 417-426.
Gao, S., Ding, L. (2006). Diagonal actions and Borel equivalence relations. The Journal of Symbolic Logic. 71(4), 1081-1096.
Gao, S., Shao, C. (2006). Random generations of the countable random graph. Annals of Pure and Applied Logic. 143, 79-86.
Gao, S., Jan, G. E., Zhang, K., Parberry, I. (2005). A 4-geometry maze router and its application on multi-terminal nets. ACM Transactions on Design Automation of Electronic Systems. 10(1), 116-135.
Gao, S. (2004). The homeomorphism problem for countable topological spaces. Topology and its Applications. 139(1-3), 97-112.
Gao, S., Pestov, V. (2003). On a universality property of some abelian Polish groups. Fundamenta Mathematicae. 179(1), 1-15.
Gao, S. (2002). Some applications of the Adams-Kechris technique. Proceedings of the American Mathematical Society. 130(3), 863-874.
Gao, S. (2001). A remark on Martin's conjecture. The Journal of Symbolic Logic. 66(1), 401-406.
Gao, S., Gerdes, P. (2001). Computably enumerable equivalence relations. Studia Logica. 67(1), 27-59.
Gao, S., Clemens, J. D., Kechris, A. S. (2001). Polish metric spaces: their classification and isometry groups. Bulletin of Symbolic Logic. 7(3), 361-375.
Gao, S. (2001). Some dichotomy theorems for isomorphism relations of countable models. The Journal of Symbolic Logic. 66(2), 902-922.
Gao, S. (2001). The action of SL(2,Z) on the subsets of Z2. Proceedings of the American Mathematical Society. 129(5), 1507-1512.
Gao, S., Camerlo, R. (2001). The completeness of isomorphism relation for countable Boolean algebras. Transactions of the American Mathematical Society. 353(2), 491-518.
Gao, S. (2000). A dichotomy theorem for mono-unary algebras. Fundamenta Mathematicae. 163(1), 25-37.
Gao, S. (2000). Coding subset shift by subgroup conjugacy. Bulletin of the London Mathematical Society. 32(6), 653-657.
Gao, S. (1998). On automorphism groups of countable structures. The Journal of Symbolic Logic. 63(3), 891-896.
Gao, S. (1994). The degrees of conditional problems. The Journal of Symbolic Logic. 59(1), 166-181.
Monograph
Gao, S., Seward, B., Jackson, S. C. (2016). Group colorings and Bernoulli subflows. Memoirs of the American Mathematical Society. 241(1141), vi+241pp.
Gao, S., Kechris, A. S. (2003). On the classification of Polish metric spaces up to isometry. Memoirs of the American Mathematical Society. 161(766), .

Awarded Grants

Contracts, Grants and Sponsored Research

Fellowship
Gao, S. (Principal), "Alfred Sloan Dissertation Fellowship," Sponsored by Alfred Sloan Foundation, Private, Funded. (19971998).
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, 2018May 31, 2022).
Gao, S. (Co-Principal), "Fostering Outstanding Cohorts in Undergraduate Science II," Sponsored by National Science Foundation, Federal, $625235 Funded. (20132018).
Gao, S. (Principal), "Equivalence Relations, Symbolic Dynamics, and Descriptive Set Theory," Sponsored by National Science Foundation, Federal, $240026 Funded. (20122016).
Gao, S. (Principal), "EMSW21-RTG: Research Training Group in Logic and Dynamics," Sponsored by National Science Foundation, Federal, $1543481 Funded. (20102016).
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, 2010April 30, 2016).
Gao, S. (Principal), "Invariant Descriptive Set Theory and Its Applications," Sponsored by National Science Foundation, Federal, $260417 Funded. (20092013).
Gao, S. (Principal), "Classifying Infinity," Sponsored by John Templeton Foundation, Private, $37873 Funded. (20082010).
Gao, S. (Principal), "Orbit Equivalence Relations and Classification Problems," Sponsored by National Science Foundation, Federal, $91345 Funded. (20052009).
Gao, S. (Co-Principal), "Conference in Mathematical Logic at UNT," Sponsored by National Science Foundation, Federal, $16000 Funded. (20042005).
Gao, S. (Principal), "Complex Definable Equivalence Relations and Applications," Sponsored by National Science Foundation, Federal, $67491 Funded. (20012005).
Gao, S. (Principal), "UNT Faculty Research Grant," Sponsored by University of North Texas, University of North Texas, Funded. (20012001).
,
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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