Dr. Pierre Milman

PIERRE MILMAN, Department of Mathematics, University of Toronto, has made fundamental contributions to our understanding of geometry and analysis in the vicinity of singularities of analytic sets. He has introduced a new method of constructing local invariants of singularity, obtaining an algorithm for canonical desingularization by successively blowing up their maximal loci. His research on ideals of analytic and differentiable functions has isolated the class of subanalytic sets amenable to classical analysis. Milman's work reveals surprising relationships among geometric, algebraic and analytic properties of singular spaces, helping to make algebraic geometry a part of the working tools of an analyst.