New paper at joint with Bob Guralnick: Simple algebraic groups are (usually) determined by an invariant (arxiv.org:1309.6611). A very special case of our main results is a description of groups of type E8.

Update (6/3/2014): The paper now has a new title “Simple groups stabilizing polynomials”.

Update (5/2015): It will be published in Forum of Mathematics, Pi.