José Manuel Cidade Mourão


Keywords: Mathematical physics, quantum gravity, theories of connections, rigorous quantum theory, symplectic geometry, algebraic geometry, functional analysis, difeomorphism invariant theories

Research Center

Member of the Center for Mathematical Analysis, Geometry, and Dynamical Systems, CAMGSD.

Academic Position

Professor at the Mathematics Department of IST.

Visiting Positions

From October 25 to November 24, 2015, I visited the Mathematics Department of Geneva University.

From July 1, 2014 to February 15, 2015 I was guest professor at the Institute for Quantum Gravity of the Friedrich-Alexander Universität Erlangen-Nürnberg, Germany.

From September 1994 to July 1996 I was visiting Assistant Professor at the Physics Department of the University of Algarve.

From September 1993 to July 1994 I was on sabatical leave at the Center for Gravitational Physics and Geometry of the Penn State University.

Research Interests

I am interested in different aspects of the interaction between Quantum Field Theory and Modern Geometry.
One thing that fascinates me is the role of Feynman Path Integral in Modern Mathematics. Some reflections about PI in the proceedings of the XII Fall Workshop on Geometry and Physics, Coimbra University, 2003.
Presently I am, with João Pimentel Nunes and other collaborators, investigating evolution in complex time both in quantum physics and in geometry.
Here are some notes (see also below) of a minicurse at the International School on Geometry, Grupoids and Quantization, University of Hong Kong, 2013.

Slides and Notes for some recent courses and talks

Google Scholar

Supervision of Ph.D. Thesis

Supervised or co-supervised PhD thesis of:

Supervision of M.Sc. Thesis

Supervised the M.Sc. thesis of:


I completed my undergraduate studies in June 1986 in the Physics Department of Moscow State University (MSU). Wrote a a M.Sc. thesis on propagation of electromagnetic waves in crystals under the supervision of Vladimir Ivanovich Grigoriev.

In 1985 I was very lucky to meet and attend classes on differential geometry, Lie groups and Lie algebras by Yuri Kubyshin and Igor Volobuev. They, together with Dmitrii Vassilievitch Shirkov, became in September 1986 the supervisors of my PhD thesis which I completed in MSU in June 1988.

Defended habilitation in Physics at the IST in June 1995.