Research

I am an algebraic geometer who uses geometric techniques to study problems in number theory and algebra. I have interests in birational geometry, rational surfaces, toric varieties, Galois cohomology, essential dimension, and linear algebraic groups.

Publications and Preprints

A. Duncan, Z. Reichstein. Pseudo-reflection groups and essential dimension. Preprint (Updated March 2013).

A. Duncan, Z. Reichstein. Versality of algebraic group actions and rational points on twisted varieties. Accepted in J. Algebraic Geom.

A. Duncan. Finite groups of essential dimension 2. Comment. Math. Helv. 88 (2013), no. 3, 555-585.

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

(See CTools for course materials).

Math 217/006 - Fall 2013

Math 217/005 - Fall 2013

Math 217/001 - Winter 2013

Math 115/016 - Fall 2012