Lego version | In Alfama, as world (in)famous fado singer | Maracas' version (thanks to MEEC students with a deplorable sense of humour) |

Position | Professor Associado |

Degrees
| Agregação em Matemática (Habilitation in Mathematics), IST, Universidade Técnica de Lisboa, 2012 |

Ph.D. (Physics), 1996, Brandeis University | |

M.Arts (Physics), 1994, Brandeis University | |

Licenciado in Eng. Física Tecnológica, 1991, Instituto Superior Técnico | |

Research | Member of the Center for Mathematical Analysis, Geometry and Dynamical Systems |

Post-Doctoral Research Associate, D. Physics, Brown University, 1996-1998 |

- Laughlin states change under large geometry deformations and imaginary time Hamiltonian dynamics, accepted in Communications in Math. Phys. (with G.Matos, B.Mera, J.Mourão and P.Mourão)
- Holomorphic fractional Fourier transforms, preprint May 2019 (with W.Kirwin, J.Mourão and T.Thiemann)
- Segal-Bargmann transforms from hyperbolic Hamiltonians,
*Journal of Mathematical Analysis and Applications (2021) Vol. 500 125146*(with W.Kirwin, J.Mourão and T.Thiemann) - Partial coherent state transforms, G×T-invariant Kahler structures and geometric quantization of cotangent bundles of compact Lie groups ,
*Advances in Mathematics (2020) Vol. 368 107139*(with J.Mourão and M.Pereira) - A new approximation method for geodesics on the space of Kahler metrics using
complexified symplectomorphisms and Grobner Lie series,
*Analysis and Mathematical Physics (2019) Vol. 9, 1927-1939*(with J.Mourão and T.Reis) - Clifford coherent state transforms on spheres,
*Journ. Geom. Phys. Vol. 124 (2018) 225-232*(with P.Dang, J.Mourão and T.Qian) - Picard group and quantization of toric orbifolds, unpublished, preprint February 2017 (with T.Baier and J.Mourão)
- Coherent state transforms and the Weyl equation in Clifford analysis,
*Journ. Math. Phys. Vol. 58 (2017) 013503*(with J.Mourão and T.Qian) - Extending coherent state transforms to Clifford analysis,
*Journ. Math. Phys. Vol. 57 (2016) 103505*(with W.Kirwin, J.Mourão and T.Qian) - Complex symplectomorphisms and pseudo-Kahler islands in
the quantization of toric manifolds,
*Mathematische Annalen Vol. 364 (2016) 1-28*(with W.Kirwin and J.Mourão) - Quantization in singular real polarizations: Kahler regularization,
Maslov correction and pairings,
*J. Phys. A:Math. Theor. Vol. 48 (2015) 22FT01*(with J.Esteves and J.Mourão) - On complexified analytic Hamiltonian flows and geodesics on the space of Kahler metrics,
*International Math Research Notices Vol. 2015, No. 20, 10624-10656*(with J.Mourão) -
Coherent state transforms and the Mackey-Stone-Von Neumann theorem,
*Journ. Math. Phys. Vol.55 (2014) 102101*(with W. Kirwin and J.Mourão) -
Degenerating Kahler structures and geometric quantization,
*Rev. Math. Phys. Vol.26 (2014) 1430009* -
Complex time evolution in geometric quantization and generalized coherent state transforms,
*Journ. Funct. Anal. Vol.265 (2013) 1460-1493*(with W. Kirwin and J.Mourão) -
Degeneration of Kahler Structures and Half-Form Quantization of Toric Varieties,
*Journ. Symplectic Geometry Vol.11 (2013) 603-643*(with W.Kirwin and J.Mourão) -
Quantization of Some Moduli Spaces of Parabolic Vector Bundles on CP^1,
*Ann. Glob. Anal. and Geometry Vol.43 (2013) 161-176*(with I.Biswas, C.Florentino and J.Mourão) -
Toric Kahler Metrics Seen from Infinity, Quantization and Compact Tropical Amoebas,
*Journ. Differ. Geometry 89 (2011) 411-454*(with T. Baier, C.Florentino and J.Mourão) -
Quantization of Abelian Varieties: distributional sections and the transition from Kahler to real polarizations,
*Journ. Funct. Anal. Vol. 258 (2010) 3388-3412*(with T. Baier and J.Mourão) -
Theta Functions, Geometric Quantization and Unitary Schottky Bundles, in
"The Geometry of Riemann Surfaces
and Abelian Varieties",
*Proceedings of the III Iberoamerican Congress on Geometry, Salamanca, June 2004, ed. J. M. M.Porras, S. Popescu and R. E. Rodríguez, Contemporary Mathematics Vol. 397 (2006) 55-73*(with C.Florentino and J.Mourão) -
On the BKS Pairing for Kahler Quantizations of the Cotangent
Bundle of a Lie Group,
*Journ. Funct. Anal. Vol. 234 (2006) 180-198*(with C.Florentino, P.Matias and J.Mourão) - pdf-file -
Geometric Quantization, Complex Structures and the Coherent State Transform,
*Journ. Funct. Anal. Vol. 221 (2005) 303-322*(with C.Florentino, P.Matias and J.Mourão) - pdf-file -
Coherent State Transforms and Theta Functions,
*Proc. Steklov Inst. of Math. Vol.246 (2004) 283-302*(with C.Florentino and J.Mourão) -
Coherent State Transforms and Vector Bundles on
Elliptic Curves,
*Journ. of Funct. Anal. Vol.204 (2003) 355-398*(with C.Florentino and J.Mourão) - pdf-file - Coherent State Transforms and
Abelian Varieties,
*Journ. of Funct. Anal. Vol.192 (2002) 410-424*(with C.Florentino and J.Mourão) - pdf-file - Large N Field
Theory of N=2 Strings and Self-Dual Gravity,
*Chaos, Solitons and Fractals 10 (1999) 385-397*(with A.Jevicki and M.Mihailescu) - Evaluation Of Glueball Masses
From Supergravity
,
*Phys. Rev. D58 (1998) 105009*(with R.de Mello Koch, A.Jevicki and M.Mihailescu) - Large N WZW Field
Theory of N=2 Strings,
*Phys. Lett. B416 (1998) 334-340*(with A.Jevicki and M.Mihailescu) - A Note On The
Picard-Fuchs
Equations For N=2 Seiberg-Witten Theories,
*Int. Jour. of Mod. Phys. A13 (1998) 233-250*(with J.M.Isidro, A.Mukherjee and H.Schnitzer) - On The Picard-Fuchs
Equations
For Massive N=2 Seiberg-Witten Theories,
*Nucl. Phys. B502 (1997) 363-382*(with J.M.Isidro, A.Mukherjee and H.Schnitzer) - A New Derivation Of The
Picard-Fuchs Equations for Effective N=2 Super
Yang-Mills Theories,
*Nucl. Phys. B492 (1997) 647-681*(with J.M.Isidro, A.Mukherjee and H.Schnitzer) - Field Strength Correlators for
Two Dimensional Yang-Mills
Theories Over Riemann Surfaces,
*Int. Jour. of Mod. Phys. A12 (1997) 4743-4768*(with H.Schnitzer) - The Master Field for
2D QCD on the Sphere,
*Phys. Lett. B377 (1996) 117*(with H.Schnitzer) - BF Theories and
Group-Level
Duality,
*Nucl. Phys. B465 (1996) 315*(with J.Isidro and H.Schnitzer) - The Cutoff Lambda Phi4
O(N) Model in the Large N Limit,
*Int. Jour. of Mod. Phys. A10 (1995) 719-738*(with H.Schnitzer)

Activities in String Theory and Some Related Areas

IST String Fest - June 2009

2004 Workshop in Algebraic Geometry and Physics

Lisbon School on Superstrings II: Modern Trends in String Theory - July 2001

IST Lecture Series in Algebraic Geometry and Physics

Conference On Symplectic Geometry - June 1999

Summer School on Singularities in Algebraic Geometry and String Theory - July 1999

TQFT Club - On-going

Strings@pt