Papers
Below is a list of the research and survey articles I have written, with journal references for those which have been published. You can also find all of my research articles on the ArXiv.
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A gauge theoretic approach to the anti-self-dual Einstein equations.Joel Fine.arxiv:1111.5005
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The diversity of symplectic Calabi-Yau six-manifolds.Joel Fine, Dmitri Panov.arxiv:1108.5994
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The Hamiltonian geometry of the space of unitary connections with symplectic curvature.Joel Fine.arxiv:1101.2420
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Quantisation and the Hessian of Mabuchi energy.Joel Fine.To appear in Duke Math. J.arxiv:1009.4543
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Building symplectic manifolds using hyperbolic geometry.Joel Fine, Dmitri Panov.J. Gökova Geom. Top., 124-136, 2009.Preprint
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Hyperbolic geometry and non-Kähler manifolds with trivial canonical bundle.Joel Fine, Dmitri Panov.Geometry and Topology, 14, 1723-1763, 2010.arxiv:0905.3237
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Calabi flow and projective embeddings.Joel Fine.J. Differential Geom. 84(3), 489-523, 2010.arxiv:0811.0155
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Symplectic Calabi-Yau manifolds, minimal surfaces and the hyperbolic geometry of the conifold.Joel Fine, Dmitri Panov.J. Differential Geom., 82(1), 155-205, 2009.arxiv:0802.3648
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Toric anti-self-dual Einstein metrics via complex geometry.Joel Fine.Math. Ann. 340(1), 143-157, 2008.arxiv:math/0609487
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A note on positivity of the CM line bundle.Joel Fine, Julius Ross.Int. Math. Res. Not., Article ID 95875, 14pp, 2006.arxiv:math/0605302
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Toric anti-self-dual 4-manifolds via complex geometry.Simon Donaldson, Joel Fine.Math. Ann., 336(2), 281-309, 2006.arxiv:math/0602423
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Fibrations with constant scalar curvature Kähler metrics and the CM-line bundle.Joel Fine.Math. Res. Lett., 14(2), 239-247, 2007.arxiv:math/0510075
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Constant scalar curvature Kähler metrics on fibred complex surfaces.Joel Fine.J. Differential Geom., 68(3), 397-432, 2004.arxiv:math/0401275
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Constant scalar curvature metrics on fibred complex surfaces.Joel Fine.PhD thesis, University of London, 2004.pdf ps