Dr. Ellen Kirkman
Professor of Mathematics
Office: Manchester 386
Phone: (336) 758-5351
Email: kirkman ‘at’ wfu.edu
PhD in Mathematics and M.S. in Statistics Michigan State University, 1975
Research Interests: Noncommutative Algebra, Representation Theory, and Homological Algebra
Possible Research Projects with Students: Computational invariant theory, computational algebraic geometry, and quantum calculus.
Finitistic dimension of finite dimensional monomial algebras, J. Algebra 136 (1991), 37-50 (with Edward Green and James Kuzmanovich).
A q-analog of the Virasora algebra, Comm. Algebra 22 (1994), 3755-3774 (with Claudio Procesi and Lance Small).
Q-analogs of harmonic oscillators and related rings, Israel J. Math. 81 (1993), 111-127 (with Lance Small).
Minimal prime ideals in enveloping algebras of Lie superalgebras, Proc. Amer. Math. Soc. 124 (1996), 1693-1702 (with James Kuzmanovich).
Noetherian down-up algebras, Proc. Amer. Math. Soc. 127 (1999), 3161-3167 (with Ian Musson and Donald Passman).
The Primitivity of Noetherian down-up algebras, Comm. Algebra 28 (2000), no. 6, 2983–2997 (with James Kuzmanovich).
Non-Noetherian down-up algebras, Comm. Algebra 28 (2000), no. 11, 5255–5268 (with James Kuzmanovich).
Examples of FCR algebras, Communications in Algebra (30)(2002)(7), 3311-3326 (with Lance Small).
Hopf down-up algebras, Journal of Algebra 262 (2003), 42-53 (with Ian Musson).
Fixed subrings of Noetherian graded regular rings, preprint 2003 (to appear in Journal of Algebra) (with James Kuzmanovich).
Down-up algebras from trees, preprint 2003 (with James Kuzmanovich).
Classes: Calculus, Linear Algebra, Modern Algebra, Abstract Algebra
Personal Interests: swimming, choral music, classical music, birding, reading, and art