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4. Ben McKay

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Biography

My personal page.
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Research Interests

Differential geometry

Research Grants

	Project	Funding Body	Start Date	End Date	Award
	SFI-Differential equations with hyperelliptic integral curves	Science Foundation of Ireland	01-SEP-07	31-AUG-10	€98,040.00
	SFI-Singularities of Ricci flow on G2-structures	Science Foundation of Ireland	01-SEP-07	31-AUG-10	€99,145.00

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Publications

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Books

	Year	Publication
	(2007)	A Panoramic View of Riemannian Geometry. Marcel Berger (2007) A Panoramic View of Riemannian Geometry. Heidelberg: Springer. [Details]
	(2006)	Snowbird lectures on string geometry. Becker, Katrin and Becker, Melanie and Bertram, Aaron and Green, Paul S. and McKay, Benjamin; (2006) Snowbird lectures on string geometry. Providence R. I: American Mathematical Society. [Details]
	(1999)	Duality and integrable systems of pseudoholomorphic curves. McKay, Benjamin William (1999) Duality and integrable systems of pseudoholomorphic curves. : ProQuest LLC, Ann Arbor, MI. [Details]

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Book Chapters

	Year	Publication
	(2019)	'Introduction to exterior differential systems' McKay, Benjamin (2019) 'Introduction to exterior differential systems' In: Polish Acad. Sci. Inst. Math., Warsaw. [Details]

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Peer Reviewed Journals

	Year	Publication
	(2017)	'Holomorphic geometric structures on Kähler–Einstein manifolds' McKay, Benjamin (2017) 'Holomorphic geometric structures on Kähler–Einstein manifolds'. Manuscripta Mathematica, 153 (1):1-34   [DOI] [Full Text] [Details]
	(2016)	'Affine connections on complex manifolds with algebraic dimension zero' Dumitrescu, Sorin; McKay, Benjamin (2016) 'Affine connections on complex manifolds with algebraic dimension zero'. Moscow Mathematical Journal, 16 (4):675-689   [Full Text] [Details]
	(2012)	'Soliton solutions for the Laplacian coflow of some G2-structures with symmetry' Karigiannis, S; McKay, B; Tsui, M (2012) 'Soliton solutions for the Laplacian coflow of some G2-structures with symmetry'. Differential Geometry and Its Applications, [Details]
	(2012)	'Rigid geometry on projective varieties' Benjamin McKay; (2012) 'Rigid geometry on projective varieties'. Mathematische Zeitschrift,   [DOI] [Details]
	(2012)	'Exotic geometric structures on Kodaira surfaces' McKay, B (2012) 'Exotic geometric structures on Kodaira surfaces'. Indiana University Mathematics Journal,   [Details]
	(2011)	'Holomorphic Parabolic Geometries and Calabi-Yau Manifolds' McKay, B.; (2011) 'Holomorphic Parabolic Geometries and Calabi-Yau Manifolds'. Symmetry Integrability and Geometry-Methods and Applications, 7 (090):1-11   [DOI] [Details]
	(2011)	'Locally homogeneous geometric structures on Hopf surfaces' Benjamin McKay and Alexey Pokrovskiy; (2011) 'Locally homogeneous geometric structures on Hopf surfaces'. Indiana University Mathematics Journal,   [Details]
	(2011)	'Holomorphic Cartan geometries on uniruled surfaces' Benjamin McKay; (2011) 'Holomorphic Cartan geometries on uniruled surfaces'. Comptes Rendus Math. Académie des Sciences Paris, 349 (1):893-896   [DOI] [Details]
	(2011)	'Characteristic forms of complex Cartan geometries' Benjamin McKay; (2011) 'Characteristic forms of complex Cartan geometries'. Advances In Geometry, 11 (1):138-168   [DOI] [Details]
	(2010)	'Holomorphic Cartan geometries and Calabi-Yau manifolds' Biswas, Indranil; McKay, Benjamin; (2010) 'Holomorphic Cartan geometries and Calabi-Yau manifolds'. J. Geom. Phys, 60 (4):661-663   [DOI] [Details]
	(2010)	'Holomorphic Cartan geometries, Calabi-Yau manifolds and rational curves' Biswas, Indranil; McKay, Benjamin; (2010) 'Holomorphic Cartan geometries, Calabi-Yau manifolds and rational curves'. Differential Geom. Appl, 28 (1):102-106   [DOI] [Details]
	(2009)	'Extension phenomena for holomorphic geometric structures' McKay, Benjamin; (2009) 'Extension phenomena for holomorphic geometric structures'. SIGMA Symmetry Integrability Geom. Methods Appl, 5 (1):1-45   [DOI] [Details]
	(2007)	'Analogues of complex geometry' McKay, Benjamin; (2007) 'Analogues of complex geometry'. J. Lond. Math. Soc. (2), 76 (1):16-40   [DOI] [Details]
	(2007)	'Sussmann's orbit theorem and maps' McKay, Benjamin; (2007) 'Sussmann's orbit theorem and maps'. Differential Geom. Appl, 25 (3):277-280   [DOI] [Details]
	(2007)	'Almost complex rigidity of the complex projective plane' McKay, Benjamin; (2007) 'Almost complex rigidity of the complex projective plane'. Proc. Amer. Math. Soc, 135 (2):597-603   [DOI] [Details]
	(2007)	'Analogues of complex geometry, 0024-6107 ' Benjamin McKay; (2007) 'Analogues of complex geometry, 0024-6107 '. J. London Math. Soc, [Details]
	(2007)	'Sussmann¿s orbit theorem and maps, 0926-2245' Benjamin McKay; (2007) 'Sussmann¿s orbit theorem and maps, 0926-2245'. Differential Geometry and Its Applications, [Details]
	(2007)	'Almost complex rigidity of the complex projective plane, 0002-9939 ' Benjamin McKay, Proc. Amer; (2007) 'Almost complex rigidity of the complex projective plane, 0002-9939 '. Fell. Proc. Amer. Math. Soc, [Details]
	(2006)	'Complete complex parabolic geometries' McKay, Benjamin; (2006) 'Complete complex parabolic geometries'. Int. Math. Res. Not, :1-34   [DOI] [Details]
	(2006)	'Complete complex parabolic geometries, 1073-7928' Benjamin McKay; (2006) 'Complete complex parabolic geometries, 1073-7928'. International Mathematics Research Notices, [Details]
	(2006)	'Lagrangian manifolds in affine symplectic geometry, 0926-2245' Benjamin McKay; (2006) 'Lagrangian manifolds in affine symplectic geometry, 0926-2245'. Differential Geometry and Its Applications, [Details]
	(2006)	'Lagrangian submanifolds in affine symplectic geometry' McKay, Benjamin; (2006) 'Lagrangian submanifolds in affine symplectic geometry'. Differential Geom. Appl, 24 (6):670-689   [DOI] [Details]
	(2006)	'Smooth projective planes, 0046-5755' Benjamin McKay; (2006) 'Smooth projective planes, 0046-5755'. Geometriae Dedicata, [Details]
	(2005)	'An analytical study of heat transfer in finite tissue with two blood vessels and Dirichlet boundary conditions' Shrivastava, D; Roemer, R; McKay, B (2005) 'An analytical study of heat transfer in finite tissue with two blood vessels and Dirichlet boundary conditions'. Journal of Heat Transfer, 127 (2):179-188 [Details]
	(2005)	'Smooth projective planes' McKay, Benjamin; (2005) 'Smooth projective planes'. Geom. Dedicata, 116 :157-202   [DOI] [Details]
	(2004)	'The Blaschke conjecture and great circle fibrations of spheres' Benjamin McKay, Amer. J. ; (2004) 'The Blaschke conjecture and great circle fibrations of spheres'. Appl. Math, [Details]
	(2004)	'The Blaschke conjecture and great circle fibrations of spheres' McKay, Benjamin; (2004) 'The Blaschke conjecture and great circle fibrations of spheres'. Amer. J. Math, 126 (5):1155-1191   [Details]
	(2003)	'Dual curves and pseudoholomorphic curves' McKay, Benjamin; (2003) 'Dual curves and pseudoholomorphic curves'. Selecta Math. (N.S.), 9 (2):251-311 [Details]
	(2003)	'Dual curves and pseudoholomorphic curves' Benjamin McKay; (2003) 'Dual curves and pseudoholomorphic curves'. Selecta Mathematica N.S, [Details]

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Other Journals

	Year	Publication
	(2015)	'A summary of progress on the Blaschke conjecture' McKay, Benjamin (2015) 'A summary of progress on the Blaschke conjecture' ICCM Not, 3 (2) :33-45.   [DOI] [Details]

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Conference Publications

	Year	Publication
	(2013)	6th International Congress of Chinese Mathematicians Benjamin McKay (2013) Summary of progress on the Blaschke conjecture . In: Lizhen Ji, Liping Wang, S.T. Yau eds. 6th International Congress of Chinese Mathematicians Taipei, Taiwai, , 14-JUL-13 - 19-JUL-13 , pp.1-9 [Details]
	(2006)	, Journal of Physics Conference Series Benjamin McKay; (2006) Complex nonlinear ordinary differential equations and geometry, International Workshop on Multi-Rate Processes & Hysteresis , Journal of Physics Conference Series [Details]

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Teaching Activities

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Teaching Interests

Analysis 3
Analysis 2 (4×)
Calculus (2×)
Calculus for Science (3×)
Calculus II for Science
Complex Analysis
Curves and Surfaces (3×)
Differential Geometry (4×)
Engineering Maths (2×)
Euclidean Geometry (4×)
Game Theory
Graph Theory and Combinatorics
Linear Algebra (15×)
Metric Spaces and Topology
Multivariate Calculus & Finance (5×)
Precalculus
Rings & Fields
Topics in Maths (2×)