RESEARCH INTERESTS

My main research interests are in applications of topology and differential geometry to problems in operator algebras and topological algebra as well as the application of algebraic methods from topological algebra to problems in infinited dimensional differential toplogy and geometry.  I have recently become interested also in general relativity and the problem of dealing with energy in general spacetime.  I also have an interest in foundational issues in Bayesian probability theory.

SELECTED PUBLICATATIONS

DUPRE & GLAZEBROOK, INFINITE DIMENSIONAL MANIFOLD STRUCTURES ON PRINCIPAL BUNDLES

DUPRE & GLAZEBROOK, RELATIVE INVERSION AND EMBEDDINGS

DUPRE, GLAZEBROOK, AND PREVIATO, CURVATURE OF UNIVERSAL BUNDLES OF BANACH ALGEBRAS

COOPERSTOCK AND DUPRE, COVARIANT ENERGY MOMENTUM AND AN UNCERTAINTY PRINCIPLE FOR GENERAL RELATIVITY

DUPRE, THE STRUCTURE OF LOCAL GRAVITY THEORIES

DUPRE, AN OBSERVER PRINCIPLE FOR GENERAL RELATIVITY

DUPRE, THE FULLY COVARIANT ENERGY MOMENTUM STRESS TENSOR FOR THE GRAVITATIONAL FIELD AND THE EINSTEIN EQUATION FOR GRAVITY IN GENERAL RELATIVITY

DUPRE & TIPLER, NEW AXIOMS FOR RIGOROUS BAYESIAN PROBABILITY