# Kirkman

**Dr. Ellen Kirkman
Professor of Mathematics**

Office: Manchester 358

Phone: (336) 758-5351

Email: kirkman ‘at’ wfu.edu

**Degrees: **

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.

Algebra Seminar, Sept. 9, 2008

Algebra Seminar, Sept. 16, 2008

Algebra Seminar, Sept. 1, 2011

Shanghai Workshop, Sept. 16, 2011

**Papers:**

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