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).