Research
My areas of interest are linear algebraic groups, birational geometry and Galois cohomology. At the moment, my main focus is the essential dimension of algebraic groups.
Publications and Preprints
A. Duncan, Z. Reichstein. Versality of algebraic group actions and rational points on twisted varieties. Preprint (Sep 27, 2011).
A. Duncan, Finite Groups of Essential Dimension 2. Accepted in Comment. Math. Helv.
A. Duncan, Essential dimensions of A7 and S7. Math. Res. Lett. 17 (2010), no. 2, 263-266.
A. Duncan, Z. Reichstein. SAGBI bases in rings of invariant Laurent polynomials . Proc. Amer. Math. Soc. 137 (2009), no. 3, 835-844.
A. Duncan, M. LeBlanc, D. L. Wehlau. A SAGBI Basis for F[V2 ⊕ V2 ⊕ V3]Cp. Canad. Math. Bull. 52 (2009), no. 1, 72-83.
Teaching
Math 3B - Spring 2012