of some recent talks.
vitae as a pdf
file (latest update April 2010)
my research was supported in part by the following grants
Model Theory: Definability and constructibility in algebraic
algebra, transfer principles, uniform bounds, Artin Approximation,
dimension theory, generalized Grothendieck groups.
Algebra: Tight closure, big Cohen-Macaulay algebras, homological
conjectures, number of generators of an ideal,
local rings of finite embedding dimension, order dimension, Gorenstein
Geometry: Constructible properties and invariants, set-theoretic
intersections, rational singularities, vanishing theorems,
classification of singularities, motivic rationality, infinite cycles.
Analytic Geometry: Rigid subanalytic sets, flattening.
theory: singular valuations, average of a valuation and value
semi-groups, total blow-up ring.