Member of the Group of Mathematical Physics of the University of Lisbon (GFMUL) .

Scientific interests

• Path integrals methods in quantum field theory
• Topological quantum field theory
• Quantum Gravity
• Knot theory

Some recent papers/preprints

• An elementary and rigorous approach to the non-Abelian Chern-Simons path integral, in preparation.
• (With Sebastian de Haro) The Chern-Simons path integral and the quantum Racah formula, Preprint [arXiv:math-ph/0611084].
• An analytic Approach to Turaev's Shadow Invariant. J. Knot Th. Ram., 17(11): 1327-1385 (2008) [arXiv:math-ph/0507040].
• White noise analysis in the theory of three-manifold quantum invariants. In A.N. Sengupta and P. Sundar, editors, Infinite Dimensional Stochastic Analysis, volume XXII of Quantum Probability and White Noise Analysis, pages 201-225. World Scientific, 2008.
• Chern-Simons models on S2 x S1, torus gauge fixing, and link invariants II. J. Geom. Phys., 58:1124-1136 (2008).
• Chern-Simons models on S2 x S1, torus gauge fixing, and link invariants I, J. Geom. Phys., 53(3):275-314 (2005).
• The Wilson loop observables of Chern-Simons theory on R3 in axial gauge, Commun. Math. Phys. 248(3):467-499 (2004).
• Chern-Simons theory on R3 in axial gauge: a rigorous approach, J. Funct. Anal. 211(2):483-507 (2004).