João Pimentel Nunes

Research Interests

Publications

• Complex time evolution in geometric quantization and generalized coherent state transforms, preprint March 2012 (with W. Kirwin and J.Mourão)
• Quantization of Some Moduli Spaces of Parabolic Vector Bundles on CP^1, preprint November 2011 (with I.Biswas, C.Florentino and J.Mourão)
• Degeneration of Kahler Structures and Half-Form Quantization of Toric Varieties, preprint November 2010 (with W.Kirwin 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)

Some Local Activities

Strings@pt

(Paper by Prof. Michael Athans - Emeritus, Dept.of Electrical Engineering, MIT (USA) and Instituto de Sistemas e Robótica, IST (Lisbon) - June 2001)

Teaching - Ensino (this is in portuguese)