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. 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.
(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