Courses
Mathematics and Music; Calculus I; Algebra I

Research Interests
Commutative algebra: properties of algebr as over an arbitrary base ring that might characterize them as polynomial or symmetric algebras; automorphism g roups of polynomial algebras. Algebraic Geometry: geometry of affine n-space and its automorphisms.

Selected Publications:

Affine surfaces fibered by affine lines over the projective line, Illinois Journal of Mathematics 41, No. 4 (Winter 1997), 589-605.

Reversion, Trees, and the Jacobian Conjecture, Contemporary Mathematics 264 (2000), 249-267.

Triangular factorizations of special polynomial automorphisms (with E. Hubbers), Journal of Algebra 235 (2001), 459-483 21.

D-Log and formal flow for analytic isomorphisms of n-space (with W. Zhao), Transactions of the American Mathematical Society 355, No. 8 (April 2003), 3117-3141

The Jacobian Conjecture: ideal membership questions and recent advances, Contemporary Mathematics 369 (2005), 261-276.