Russell, Peter

Research Interests

I am interested in the geometry of non-complete algebraic varieties, in particular affine spaces or varieties that closely resemble them. Central themes in my research over the past few years has been the geometry of open rational surfaces and the linearizability of algebraic group actions on affine spaces, actions of tori in particular, which lead to quite fascinating geometric problems. A recent result, proved jointly with M. Koras and R. Gurjar, establishes that any two-dimensional quotient of C^n by the action of a reductive group is isomorphic to the quotient of C^2 by a finite group. Using open algebraic surface techniques, M. Koras and I are at present finishig a paper on the classification of closed embeddings of C* int C^2.

Publications