Marco Gualtieri is a mathematician working in geometry and mathematical physics, with a focus on developing mathematical structures with applications to quantum field theory. After completing his B. Sc. at McGill University in his native Montreal, he completed his D. Phil. under Nigel Hitchin at the University of Oxford. After research fellowships at the Fields Institute and MIT, he has worked at the University of Toronto since 2008 and at the UPC Barcelona Tech in the SYMCREA lab since 2025.
Research interests
Prof. Gualtieri is best-known for his work developing Generalized complex geometry, a type of geometric structure which includes the well known complex geometry and symplectic geometry as extreme special cases, but which includes new geometric structures that we have only recently begun to understand. This study, which grew out of the far-reaching insights of Hitchin and Weinstein, led him to develop Generalized Kähler geometry, a more structured version of the previous geometry which found a surprising application in physics: it coincides with a geometry which was previously proposed by physicists in the study of an important class of quantum field theories. Gualtieri’s work has made it possible to find new examples of such models, but also to establish several conjectures made by physicists about their properties.
In addition to the above, Prof. Gualtieri works in Poisson geometry, singular differential equations and is currently exploring models of discrete geometry.