College of Science and Health > Faculty & Staff > Faculty A-Z > Yevgenia Kashina

Yevgenia Kashina

  • Professor; Graduate Program Director Mathematics Education, Mathematics for Teaching, and Pure Mathematics
  • ​​PhD​​​​​
  • Mathematical Sciences
  • ​Hopf ​algebras

  • (773) 325-1351
  • ​Schmitt Academic Center, Room 528B

Dr. Kashina earned her PhD in Mathematics from the University of Southern California in 1999. She then spent one year as a Postdoctoral Research Fellow at the Mathematical Sciences Research Institute (MSRI) in Berkeley, CA, and two years as a Postdoctoral Research and Teaching Associate at Syracuse University, before joining the faculty at DePaul University in 2002.

Dr. Kashina’s research is in Hopf algebras.

Selected publications:

  • On the order of the antipode of Hopf algebras in HHYD
    Comm. Algebra 27 (1999), no. 3, 1261-1273.
  • Classification of semisimple Hopf algebras of dimension 16
    J. Algebra 232 (2000), no. 2, 617-663.
  • Computing the Frobenius-Schur indicator for abelian extensions of Hopf algebras
    J. Algebra 251 (2002), no. 2, 888-913 (with G. Mason and S. Montgomery).
  • On higher Frobenius-Schur indicators
    Mem. Amer. Math. Soc. 181 (2006), no. 855, viii+65pp. (with Y. Sommerhäuser and Y. Zhu).
  • On the trace of the antipode and higher indicators
    Israel J. Math. 188 (2012), 57-89 (with S. Montgomery and Siu-Hung Ng).