Nursultan Kuanyshov
PhD
Faculty of Engineering
Room: F406
Profile
Nursultan Kuanyshov joined the SDU University in Kazakhstan in 2024 as teaching instructor for mathematics department: he has been working as an assistant professor since 2024. His research interests lie in algebraic topology and geometric group theory. In his spare time, Nursultan enjoys sports and traveling.
Degree Qualifications
University of Florida, Gainesville, FL, USA 09/2019-08/2024 Ph.D., Mathematics
Advisor: Alexander Dranishnikov
Tufts University, Medford, MA, USA 09/2015-06/2017 M.S., Mathematics
Boston University, Boston, MA, USA 01/2014-06/2015 English Certificate
Al Farabi Kazakh National University, Almaty, Kazakhstan 09/2009-06/2013 B.S., Mathematics
Advisor: Alexander Dranishnikov
Tufts University, Medford, MA, USA 09/2015-06/2017 M.S., Mathematics
Boston University, Boston, MA, USA 01/2014-06/2015 English Certificate
Al Farabi Kazakh National University, Almaty, Kazakhstan 09/2009-06/2013 B.S., Mathematics
Certificates
English Certificate, Boston University, 2015
Courses
MAT 370 Methods of Scientific research, CSS 410 Research tools and methods, MAT 108 Algebra, MAT 203 Mathematical Analysis 3, MAT 204 Mathematical Analysis 4, MAT 380 Algebraic Topology, MAT 773 Riemannian Geometry, MAT 518 Real Analysis
Publications
N.Kuanyshov, On numerical invariants of retraction map, arXiv 2509.05745, 2025
N. Kuanyshov, Erratum for “On the LS-category of homomorphisms of groups with torsion”. Algebra and Discrete Mathematics 38, no. 1 (2024).
N. Kuanyshov, On the sequential topological complexity of group homomorphisms, Topology and its Applications 356 (2024): 109045.
N. Kuanyshov, On the LS-category of homomorphism of almost nilpotent groups, Topology and its Applications, Volume 342, 1 February 2024, 108776.
N. Kuanyshov, On the LS-category of homomorphism of groups with torsion, Algebra and Discrete Mathematics, Volume 36 (2023). Number 2, pp. 166–178
A. Dranishnikov, N. Kuanyshov, On the LS-category of group homomorphisms. Math. Z. 305, 14 (2023).
N. Kuanyshov, Erratum for “On the LS-category of homomorphisms of groups with torsion”. Algebra and Discrete Mathematics 38, no. 1 (2024).
N. Kuanyshov, On the sequential topological complexity of group homomorphisms, Topology and its Applications 356 (2024): 109045.
N. Kuanyshov, On the LS-category of homomorphism of almost nilpotent groups, Topology and its Applications, Volume 342, 1 February 2024, 108776.
N. Kuanyshov, On the LS-category of homomorphism of groups with torsion, Algebra and Discrete Mathematics, Volume 36 (2023). Number 2, pp. 166–178
A. Dranishnikov, N. Kuanyshov, On the LS-category of group homomorphisms. Math. Z. 305, 14 (2023).
Conference
1. On Numerical Invariants of group homomorphisms, 42nd Workshop in Geometric Topology, Oberlin College, Oberlin, Ohio, USA, June 13, 2025
2. Cohomological dimension of group homomorphisms, Conference of IMMM, Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan, April 3, 2025.
3. On the sequential topological complexity of group homomorphisms, Topology and Dy-namics seminar, University of Florida, Gainesville, FL, April 9, 2024.
4. The canonical class for Topological Complexity, 2 talks, Graduate Student Topology Seminar, University of Florida, Gainesville, FL, January 30 & February 6, 2024.
5. On the LS-category of group homomorphisms, UF/FSU Topology and Geometry Meet-ing, Tallahassee, Fl, November 3, 2023.
6. On the LS-category of epimorphism of almost nilpotent groups, Topology and Dynamics seminar, University of Florida, Gainesville, FL, October 10, 2023.
7. Introduction to Topological Complexity and Higher Topological Complexity, 2 talks, Graduate Student Topology Seminar, University of Florida, Gainesville, FL, September 26 & October 3, 2023.
8. On the LS-category of homomorphism of finitely generated Abelian groups, 40th Annual Workshop in Geometric Topology, Colorado College, 2023.
9. On the LS-category of homomorphism between finite groups, Graduate Student Seminar in Algebra, Geometry, and Topology, Temple University, PA 2023.
10. On the LS-category of homomorphisms, 2023 Spring Southeastern Sectional Meeting at Georgia Institute of Technology, Atlanta, GA, 2023.
2. Cohomological dimension of group homomorphisms, Conference of IMMM, Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan, April 3, 2025.
3. On the sequential topological complexity of group homomorphisms, Topology and Dy-namics seminar, University of Florida, Gainesville, FL, April 9, 2024.
4. The canonical class for Topological Complexity, 2 talks, Graduate Student Topology Seminar, University of Florida, Gainesville, FL, January 30 & February 6, 2024.
5. On the LS-category of group homomorphisms, UF/FSU Topology and Geometry Meet-ing, Tallahassee, Fl, November 3, 2023.
6. On the LS-category of epimorphism of almost nilpotent groups, Topology and Dynamics seminar, University of Florida, Gainesville, FL, October 10, 2023.
7. Introduction to Topological Complexity and Higher Topological Complexity, 2 talks, Graduate Student Topology Seminar, University of Florida, Gainesville, FL, September 26 & October 3, 2023.
8. On the LS-category of homomorphism of finitely generated Abelian groups, 40th Annual Workshop in Geometric Topology, Colorado College, 2023.
9. On the LS-category of homomorphism between finite groups, Graduate Student Seminar in Algebra, Geometry, and Topology, Temple University, PA 2023.
10. On the LS-category of homomorphisms, 2023 Spring Southeastern Sectional Meeting at Georgia Institute of Technology, Atlanta, GA, 2023.
Research interests
Lusternik-Schnirelmann Category, Sectional Category, Cohomological Dimensions, Topological Complexity and Sequential Topological Complexity, Amenable Category, Algebraic Topology, and Topological Data Analysis
Membership of professional organisations
AMS 2019
Scholarships & awards
1. BOLASHAK scholarship for the master of science in mathematics, Tufts University, USA, 2015
2. University of Florida Graduate School Fellowship, 2019
3. CLAS Dissertation Fellowship funded by the Kenneth and Janet Keene Endowed Fellowship in the Mathematical Sciences, 2024
2. University of Florida Graduate School Fellowship, 2019
3. CLAS Dissertation Fellowship funded by the Kenneth and Janet Keene Endowed Fellowship in the Mathematical Sciences, 2024