Dave Anderson

The torus-equivariant K-theory of a (generalized) flag variety G/P is an algebra over a Laurent polynomial ring. This algebra has a natural basis consisting of structure sheaves of Schubert varieties. The structure constants for multiplication with...

Let G be an algebraic group acting on a smooth complex variety X. In joint work with Alan Stapledon, we present a new perspective on the G-equivariant cohomology of X, which replaces the action of G on X with the induced action of the respective arc...

Given a projective variety X of dimension d, a "flag" of subvarieties Y_i, and a big divisor D, Okounkov showed how to construct a convex body in R^d, and this construction has recently been developed further in work of Kaveh-Khovanskii and...

Given a sequence of roots, one can construct a corresponding Bott-Samelson variety. These varieties are basic tools in representation theory and geometry of G/P's; for instance, the Bott-Samelson varieties corresponding to reduced sequences resolve...