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, and essential dimension.
Publications and Preprints
A. Duncan. Equivariant unirationality of del Pezzo surfaces of degree 3 and 4. (Submitted)
A. Duncan. Twisted forms of toric varieties. (Submitted)
I. Dolgachev, A. Duncan. Fixed points of a finite subgroup of the plane Cremona group. (Submitted)
A. Duncan, Z. Reichstein. Versality of algebraic group actions and rational points on twisted varieties. J. Algebraic Geom. 24 (2015), 499--530
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).
Fall 2014 - Math 217/008
Fall 2014 - Math 217/001
Fall 2013 - Math 217/006
Fall 2013 - Math 217/005
Winter 2013 - Math 217/001
Fall 2012 - Math 115/016