Alexander Sistko

Visiting Assistant Professor, Mathematics

Alexander Sistko received his Ph.D. in Mathematics from the University of Iowa in 2019. His current research interests lie in noncommutative algebra, representation theory, combinatorics and the field with one element. His Ph.D. dissertation studied subalgebra varieties of finite-dimensional associative algebras.

Courses Taught

  • MATH 185: Calculus I
  • MATH 186: Calculus Ii
  • MATH 221: Mathematics for the Elementary School Teachers I
  • MATH 222: Mathematics for the Elementary School Teachers II
  • Research
    • Noncommutative algebra
    • Representation theory
    • Quiver representations over the field with one element
    • Subalgebras of finite-dimensional associative algebras
  • Publications and Scholarly Activities
    • "Classification of Quivers via Growth of F1 Representations" (with J. Jun and J. Kim), in preparation.
    • "Coefficient Quivers, F1-Representations, and Euler Characteristics of Quiver Grassmannians" (with J. Jun), in preparation.
    • "On Quiver Representations over F1" (with J. Jun), Algebr. Represent. Theory (2021). Available online here.
    • "Ore Extensions and Infinite Triangularization" (with J. Edison and M. Iovanov), J. Algebra 572, no. 1, December 2020.
    • "Generators and Relations for Bott-Samelson Bimodules and the Double-Leaves Basis" (expository) (with B. Elias, S. Makisumi, U. Thiel and G. Williamson). Appears in B. Elias, S. Makisumi, U. Thiel and G. Williamson, Introduction to Soergel Bimodules, Springer-Verlag, 2020, p. 149-178.
    • "On Isoclasses of Maximal Subalgebras Determined by Automorphisms", Categorial, Homological and Combinatorial Methods in Algebra (AMS Special Session in Honor of S. K. Jain's 80th Birthday), A. Srivastava, A. L'Roy, I. Herzog and P. A. Guil Asensio (Eds.), Contemp. Math. 751, June 2020.
    • "Maximal Subalgebras of Finite-Dimensional Algebras" (with M. Iovanov), Forum Math. 30, no. 5, September 2019.
    • "On the Toeplitz-Jacobson Algebra and Direct Finiteness" (with M. Iovanov), Groups, Rings, Group Rings, and Hopf Algebras, Contemp. Math 688, May 2017.
  • Other
    • Math Department Seminar organizer
    • Putnam Exam co-organizer