According to the Centre de Recherches Mathématiques, the Fields Institute and the Pacific Institute for Mathematical Sciences announcement, as of December 14, 2014,his work is recognized for its striking originality and technical brilliance. He was an invited speaker at the 1998 ICM in Berlin for his discovery and work on rho-functions. He made major contributions to the study of S- and L-spaces in topology, proved a remarkable classification theorem for transitive relations on the first uncountable ordinal, made a deep study of compact subsets of the Baire class 1 functions thus continuing work of Bourgain, Fremlin, Talagrand, and others in Banach space theory. Together with P. Larson he completed the solution of Katetov’s old compact spaces metrization problem. Among the most striking recent accomplishments of Todorčević (and co-authors) are major contributions to the von Neumann and Maharam problems on Boolean algebras, the theory of non-separable Banach spaces, including the solution of an old problem of Davis and Johnson, the solution of a long-standing problem of Laver, and the development of a duality theory relating finite Ramsey theory and topological dynamics.