Professor Gloria's work is mainly focused on the mathematical study of partial differential equations (PDEs) with random coefficients in a mathematical physics perspective, and the interaction between analysis and probability. He has mainly studied three classes of problems: the mathematical derivation of rubber elasticity from the statistical physics of polymer-chain networks, the development of a complete quantitative theory of stochastic homogenization of linear elliptic PDEs, and more recently the analysis of random suspensions in fluids, and of linear waves in disordered media.
