João Pimentel Nunes

Research Interests

Publications

• Mabuchi rays, test configurations and quantization for toric manifolds, arXiv:2407.05860 (with A. Gouveia and J. Mourão)
• Fibering polarizations and Mabuchi rays on symmetric spaces of compact type , arXiv:2404.19697 (with T.Baier, A.C.ferreira, J.Hilgert and J. Mourão)
• Quantization in fibering polarizations, Mabuchi rays and geometric Peter--Weyl theorem, Journ. of Geometry and Physics (2025) Vol.207, 105355 (with T.Baier, J.Hilgert, O.Kaya and J. Mourão)
• Laughlin states change under large geometry deformations and imaginary time Hamiltonian dynamics, Communications in Math. Phys. (2023) Vol. 399, p.2045-2070 (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• Picard group and quantization of toric orbifolds, unpublished, preprint February 2017 (with T.Baier and J.Mourão)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)

Some Local Activities

Strings@pt

Teaching - Ensino (some of this is in portuguese)