Dr. Su Gao
University of North Texas
Mathematics
(940) 565-3327
Email:

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

Professional Positions

Uncategorized
Professor, University of North Texas. (2008 – Present).
Associate Professor, University of North Texas. (2005 – 2008).
Assistant Professor, University of North Texas. (2000 – 2005).
Olga Taussky-John Todd Postdoctoral Fellow, California Institute of Technology. (2000 – 2001).
Bateman Research Instructor, California Institute of Technology. (1998 – 2000).

Professional Memberships

Lifetime Member, Mathematical Association of America. (2011 – Present).

Lifetime Member, American Mathematical Society. (1992 – Present).

Member, Association for Symbolic Logic. (1992 – Present).

Teaching

Teaching Experience

University of North Texas
BIOL 4900, Special Problems, 1 course.
MATH 1650, Pre Calculus, 3 courses.
MATH 1710, Calculus I, 2 courses.
MATH 1720, Calculus II, 2 courses.
MATH 2730, Multivariable Calculus, 5 courses.
MATH 2770, Discrete Mathematical Structures, 1 course.
MATH 3510, Abstract Algebra I, 2 courses.
MATH 4060, Foundations of Geometry, 1 course.
MATH 4500, Introduction to Topology, 1 course.
MATH 4900, Special Problems, 2 courses.
MATH 4910, Special Problems, 1 course.
MATH 4980, Experimental Course, 1 course.
MATH 5010, Mathematical Logic and Set Theory, 1 course.
MATH 5020, Mathematical Logic and Set Theory, 1 course.
MATH 5270, Mathematical Theory of Computation, 1 course.
MATH 5600, Introduction to Topology, 1 course.
MATH 5610, Topology., 2 courses.
MATH 5620, Topology, 2 courses.
MATH 5900, Special Problems, 20 courses.
MATH 5910, Special Problems, 8 courses.
MATH 5950, Master's Thesis, 3 courses.
MATH 6610, Topics in Topology and Geometry, 2 courses.
MATH 6900, Special Problems, 21 courses.
MATH 6910, Special Problems, 7 courses.
MATH 6950, Doctoral Dissertation, 27 courses.

Directed Student Learning

Major Professor,"Countable Dense Homogeneous Spaces," Mathematics. (2013 – Present).

Major Professor,"Quotients of Topological Rank-One Transformations," Mathematics. (2012 – Present).

Major Professor,"Borel Equivalence Relations," Mathematics. (2012 – Present).

Directed Individual/Independent Study,"Borel Equivalence Relations," Mathematics. (January 2017 – May 2017).

Directed Individual/Independent Study,"Invariant Descriptive Set Theory," Mathematics. (August 2016 – December 2016).

Other, Mathematics. (2011 – 2016).

Major Professor, Mathematics. (2010 – 2016).

Research

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), .

Presentations Given

Invited departmental seminar and colloquiumm talks in 2013

Gao, S. (Author & Presenter), Invited departmental seminar and colloquiumm talks in 2013: University of Texas at Arlington, Cornell University, University of Texas at Arlington, Cornell University, United States of America. (2013 – 2013).

Invited departmental seminar and colloquiumm talks in 2015

Gao, S. (Author & Presenter), Invited departmental seminar and colloquiumm talks in 2015: National University of Singapore, Nankai University, University of Illinois Urbana-Champaign, Singapore. (2015 – 2015).

Keynote/Plenary Address

Gao, S. (Presenter), Appalachian Set Theory Workshop, Cargenie Mellon University, Pittsburg, PA, United States of America. (2015 – 2015).

Gao, S. (Author & Presenter), Joint Mathematics Meetings, AMS/MAA/SIAM/ASL, Baltimore, MD, United States of America. (2014 – 2014).

Gao, S. (Author & Presenter), The 13th Asian Logic Conference, Association for Symbolic Logic, Guangzhou, China, China. (2013 – 2013).

Lecture

Gao, S. (Author & Presenter), AMS Western Sectional Meeting, University of Utah, Salt Lake City, UT, United States of America. (2016 – 2016).

Gao, S. (Presenter), Mathematics Institue Lecture, Chinese Academy of Sciences, Beijing, China, China. (2015 – 2015).

Gao, S. (Author & Presenter), AMS Western Sectional Meeting, AMS, UNLV, Las Vegas, NV, United States of America. (2015 – 2015).

Gao, S. (Author & Presenter), Joint Mathematics Meetings, AMS/MAA/SIAM/ASL, San Antonio, Texas, United States of America. (2015 – 2015).

Gao, S. (Author & Presenter), AMS Western Sectional Meeting, AMS, University of New Mexico, Albuquerque, NM, United States of America. (2014 – 2014).

Gao, S. (Author & Presenter), ESI Workshop on Forcing, Large Cardinals, and Descriptive Set Theory, Vienna, Austria, Austria. (2013 – 2013).

Gao, S. (Author & Presenter), AMS Southeastern Sectional Meeting, AMS, Mississippi State University, United States of America. (2013 – 2013).

Gao, S. (Author & Presenter), Luminy Workshop in Set Theory, CIRM, Luminy, France, France. (2012 – 2012).

Gao, S. (Author & Presenter), SUMIRFAS Workshop in Analysis and Probability, Texas A&M University, College Station, Texas, United States of America. (2012 – 2012).

Gao, S. (Author & Presenter), Spring Topology and Dynamics Conference, Mexico City, Mexico, Mexico. (2012 – 2012).

Gao, S. (Author & Presenter), The 12th Asian Logic Conference, Association for Symbolic Logic, University of Wellington, New Zealand, New Zealand. (2011 – 2011).

Gao, S. (Author & Presenter), MAMLS (Mid-Atlantic Mathematical Logic Seminar) meeting, Rutgers University, Rutgers University, New Jersey, United States of America. (2011 – 2011).

Poster

Hughes, L. E. (Author & Presenter), Acree, W. E. (Author), Gao, S. (Author), Mason, D. (Author), Padilla, P. A. (Author), Philipose, U. (Author), Gordon Conference on Undergraduate Biology Education Research, Fostering Outstanding Cohorts in Undergraduate Science: A Ten-Year Retrospective., Gordon Conferences, Lewiston, ME, United States of America. (2019 – 2019).

Tutorial

Gao, S. (Presenter), Vaught's Conjecture Conference, UC Berkeley, Berkeley, CA, United States of America. (2015 – 2015).

Gao, S. (Presenter), 2013 Young Set Theory Workshop, Oropa, Italy, Italy. (2013 – 2013).

Contracts, Grants and Sponsored Research

Fellowship
Gao, S. (Principal), "Alfred Sloan Dissertation Fellowship," Sponsored by Alfred Sloan Foundation, Private, Funded. (1997 – 1998).
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).
Gao, S. (Co-Principal), "Fostering Outstanding Cohorts in Undergraduate Science II," Sponsored by National Science Foundation, Federal, $625235 Funded. (2013 – 2018).
Gao, S. (Principal), "Equivalence Relations, Symbolic Dynamics, and Descriptive Set Theory," Sponsored by National Science Foundation, Federal, $240026 Funded. (2012 – 2016).
Gao, S. (Principal), "EMSW21-RTG: Research Training Group in Logic and Dynamics," Sponsored by National Science Foundation, Federal, $1543481 Funded. (2010 – 2016).
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).
Gao, S. (Principal), "Invariant Descriptive Set Theory and Its Applications," Sponsored by National Science Foundation, Federal, $260417 Funded. (2009 – 2013).
Gao, S. (Principal), "Classifying Infinity," Sponsored by John Templeton Foundation, Private, $37873 Funded. (2008 – 2010).
Gao, S. (Principal), "Orbit Equivalence Relations and Classification Problems," Sponsored by National Science Foundation, Federal, $91345 Funded. (2005 – 2009).
Gao, S. (Co-Principal), "Conference in Mathematical Logic at UNT," Sponsored by National Science Foundation, Federal, $16000 Funded. (2004 – 2005).
Gao, S. (Principal), "Complex Definable Equivalence Relations and Applications," Sponsored by National Science Foundation, Federal, $67491 Funded. (2001 – 2005).
Gao, S. (Principal), "UNT Faculty Research Grant," Sponsored by University of North Texas, University of North Texas, Funded. (2001 – 2001).
Uncategorized
Gao, S. (Principal), "UNT Faculty Research Grant," Sponsored by University of North Texas. (2007 – 2007).
Gao, S. (Principal), "UNT Faculty Research Grant," Sponsored by University of North Texas. (2005 – 2005).
Gao, S. (Principal), "UNT Faculty Research Grant," Sponsored by University of North Texas. (2003 – 2003).
Gao, S. (Principal), "UNT Faculty Research Grant," Sponsored by University of North Texas. (2002 – 2002).
Gao, S. (Principal), "UNT Junior Faculty Summer Research Fellowship," Sponsored by University of North Texas. (2001 – 2002).

Service

Professional Service

Editorial Review Board Member, Mathematical Logic Quarterly. (2012 – Present).

Editorial Review Board Member, Notre Dame Journal of Formal Logic. (2011 – Present).

Editorial Review Board Member, Perspectives in Mathematical Logic. (January 1, 2017 – December 31, 2021).

Committee Member, Association for Symbolic Logic, Nominating Committee. (2016 – 2017).

Officer, Other Officer, Texas Association for Academic Administrators in Mathematical Sciences. (2016 – 2017).

Officer, Other Officer, Texas Association for Academic Administrators in Mathematical Sciences. (2015 – 2016).

Officer, Other Officer, Texas Association for Academic Administrators in Mathematical Sciences. (2014 – 2015).

Other, National Science Foundation. (2010 – 2010).

Member, Program committee for the ASL 2010 Annual Meeting. (2010 – 2010).

Member, Association for Symbolic Logic Committee on Translations. (2005 – 2007).

Committee Member, Program committee for the ASL. (2006 – 2006).

Committee Member, Program committee for the ASL Winter Meeting. (2006 – 2006).

Committee Member, Organizing Committee of the North Texas Logic Conference. (2004 – 2004).