Michael Eastwood | Academic Influence

Michael Eastwood's AcademicInfluence.com Rankings

Michael Eastwood

Mathematics

#6417

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#8889

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Measure Theory

#2824

World Rank

#3362

Historical Rank

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Mathematics

Michael Eastwood's Degrees

PhD Mathematics Princeton University
Bachelors Mathematics University of Oxford

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Why Is Michael Eastwood Influential?

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According to Wikipedia, Michael G. Eastwood is a mathematician at the University of Adelaide, known for his work in twistor theory, conformal differential geometry and invariant differential operators. In 1976 he received a PhD at Princeton University in several complex variables under Robert C. Gunning. He was a member of the twistor research group of Roger Penrose at the University of Oxford and he coauthored the monograph The Penrose Transform: Its Interaction with Representation Theory with Robert Baston. After moving to South Australia in 1985 he was the 1992 recipient of the Australian Mathematical Society Medal and made a Fellow of the Australian Academy of Science in 2005. In 2012 he was named to the inaugural class of fellows of the American Mathematical Society.

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Michael Eastwood's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Thomas's Structure Bundle for Conformal, Projective and Related Structures (1994) (353)
The Penrose Transform: Its Interaction with Representation Theory (1990) (320)
Higher symmetries of the laplacian (2002) (267)
Cohomology and massless fields (1981) (221)
Complex Paraconformal Manifolds – their Differential Geometry and Twistor Theory (1991) (133)
Conformally invariant differential operators on Minkowski space and their curved analogues (1987) (125)
Twistors in Mathematics and Physics: The Penrose Transform (1990) (114)
INVARIANT-THEORY FOR CONFORMAL AND CR GEOMETRY (1994) (107)
Metrisability of three-dimensional projective structures (2008) (104)
Metric Connections in Projective Differential Geometry (2008) (101)
PROLONGATIONS OF GEOMETRIC OVERDETERMINED SYSTEMS (2004) (79)
Notes on conformal differential geometry (1996) (76)
Edth-a differential operator on the sphere (1982) (75)
A conformally invariant Maxwell gauge (1985) (69)
Notes on Projective Differential Geometry (2008) (56)
On Affine Normal Forms and a Classification of Homogeneous Surfaces in Affine Three-Space (1999) (52)
A complex from linear elasticity (2000) (51)
The Fröhlicher spectral sequence on a twistor space (1993) (50)
Semiholonomic Verma modules (1997) (48)
Symmetries and overdetermined systems of partial differential equations (2008) (48)
The generalized Penrose-Ward transform (1985) (48)
Invariants of conformal densities (1991) (44)
Thickening and Supersymmetric Extensions of Complex Manifolds (1986) (41)
What is Q-Curvature? (2008) (38)
Conformal circles and parametrizations of curves in conformal manifolds (1990) (35)
Higher symmetries of the square of the Laplacian (2006) (33)
COMPLEX ANALYSIS AND THE FUNK TRANSFORM (2003) (29)
Edge of the Wedge Theory in Hypo-analytic Manifolds (2001) (28)
The Cartan Product (2005) (28)
Holomorphic realization of ∂-cohomology and constructions of representations (1995) (28)
Local constraints on Einstein-Weyl geometries. (1997) (26)
Duality in twistor theory (1981) (26)
Euler characteristics and chromatic polynomials (2007) (24)
C-projective geometry (2015) (24)
Radon and Fourier transforms for D-modules (2003) (23)
Extracting invariants of isolated hypersurface singularities from their moduli algebras (2011) (23)
Supersymmetry, twistors, and the Yang-Mills equations (1987) (21)
BIRS Workshop Differential Invariants and Invariant Differential Equations (2003) (21)
Drawing with complex numbers (2000) (20)
A proof of Atiyah’s conjecture on configurations of four points in Euclidean three-space (2001) (19)
Fattening complex manifolds: Curvature and Kodaira—Spencer maps (1992) (19)
Some differential complexes within and beyond parabolic geometry (2011) (18)
Cohomologically complete and pseudoconvex domains (1980) (18)
The Funk transform as a Penrose transform (1999) (17)
Semi-holonomic Verma Modules (1997) (17)
Metrisability of three-dimensional path geometries (2014) (16)
Twistors in Mathematics and Physics: Invariant Operators (1990) (15)
Endomorphism valued cohomology and gauge-neutral matter (1990) (14)
Cayley hypersurfaces (2000) (14)
On the density of twistor elementary states (1991) (14)
A holomorphic realization of analytic cohomology (1996) (14)
Aspects of Dirac Operators in Analysis (2007) (13)
ZERO-ENERGY FIELDS ON COMPLEX PROJECTIVE SPACE (2011) (13)
Special tensors in the deformation theory of quadratic algebras for the classical Lie algebras (2007) (13)
The BGG Complex on Projective Space (2011) (13)
Some Remarks on the Plücker Relations (1999) (12)
Zero-energy Fields on Real Projective Space (1997) (11)
Integrability conditions for Heisenberg and Grushin-type distributions (2014) (11)
ON CONFORMAL DIFFERENTIAL GEOMETRY (2012) (10)
The Penrose transform and analytic cohomology in representation theory : AMS-IMS-SIAM Summer Research Conference, June 27 to July 3, 1992, Mount Holyoke College, South Hadley, Massachusetts (1993) (10)
THEORY OF FUNCTIONS ON COMPLEX MANIFOLDS (Monographs in Mathematics, Volume 79) (1985) (9)
Integrability conditions for the Grushin and Martinet distributions (2012) (9)
Complexification, twistor theory and harmonic maps from Riemann surfaces (1984) (9)
Prolongations of linear overdetermined systems on affine and riemannian manifolds (2005) (9)
An edge-of-the-wedge theorem for hypersurface CR functions (1999) (9)
THE PENROSE TRANSFORM FOR CURVED AMBITWISTOR SPACE (1988) (9)
Examples of unbounded homogeneous domains in complex space (2003) (8)
The Uniqueness of the Joseph Ideal for the Classical Groups (2005) (8)
A Duality for Homogeneous Bundles on Twistor Space (1985) (8)
Geometric Poisson brackets on Grassmannians and conformal spheres (2010) (8)
Extensions of the coeffective complex (2012) (8)
The Borel-Weil theorem for complex projective space (2002) (8)
Riemann surfaces, Clifford algebras and infinite dimensional groups (1990) (8)
Aerobatics of Flying Saucers (2018) (8)
Local Constraints on Einstein–Weyl Geometries: The 3-Dimensional Case (2000) (7)
Some Examples of the Penrose Transform (1998) (7)
The involutive structure on the blow-up of R^n in C^n (1996) (7)
On the twistor description of massive fields (1981) (7)
Invariants of Artinian Gorenstein Algebras and Isolated Hypersurface Singularities (2014) (7)
Twistors in Mathematics and Physics: The Twistor Transform (1990) (7)
CR geometry and conformal foliations (2010) (7)
Aerodynamics of Flying Saucers (2018) (7)
Some Special Geometry in Dimension Six (2000) (7)
The involutive structure on the blow-up of $\mathbb{R}^n$ in $\mathbb{C}^n$ (1999) (6)
Homogeneous Hypersurfaces with Isotropy in Affine Four-space (2000) (6)
Invariants of CR densities (1989) (6)
Conjugate functions and semiconformal mappings (2005) (5)
A combinatorial formula for homogeneous moments (2005) (5)
Monogenic Functions in Conformal Geometry (2007) (5)
Smoothly parameterized Čech cohomology of complex manifolds (2004) (5)
The inverse Penrose transform of a solution to the Maxwell-Dirac-Weyl field equations (1985) (5)
Representations via overdetermined systems (2005) (5)
Special metrics and scales in parabolic geometry (2020) (4)
Prolongation on Contact Manifolds (2009) (4)
Conformally Fedosov manifolds (2012) (4)
Nonclassical descriptions of analytic cohomology (2003) (4)
Ricci Curvature and the Mechanics of Solids (2010) (4)
Some Remarks on Shape from Shading (1995) (4)
A Calabi operator for Riemannian locally symmetric spaces (2021) (3)
Uniqueness of the stereographic embedding (2014) (3)
Volume growth and puncture repair in conformal geometry (2017) (3)
A classification of non-degenerate homogeneous equiaffine hypersurfaces in four complex dimensions (2001) (3)
On Functions with a Conjugate (2012) (3)
Moduli of Isolated Hypersurface Singularities (2004) (3)
Higher Order Connections (2009) (3)
The Twistor Construction and Penrose Transform in Split Signature (2007) (3)
Beltrami's theorem via parabolic geometry (2017) (2)
Formal adjoints and a canonical form for linear operators (2006) (2)
Some Involutive Structures in Analysis and Geometry (1999) (2)
Towards a classification of homogenous tube domains in C^4 (2004) (2)
A canonical connection on sub-Riemannian contact manifolds (2016) (2)
On Dolbeault cohomology and envelopes of holomorphy (1978) (2)
The Heisenberg group, SL(3R), and rigidity (2007) (2)
Conformally invariant differential operators on Minkowski space and their curved analogues (1992) (2)
Symmetry Via Lie Algebra Cohomology (2010) (2)
Preferred parametrizations on homogeneous curves (2004) (2)
Singularities of semiconformal mappings (2008) (2)
Correction to: “On the density of twistor elementary states” (1992) (1)
A new homogeneous tube domain (2005) (1)
An Integral Operator into Dolbeault Cohomology (1996) (1)
Twistor Theory (The Penrose Transform) (1982) (1)
Modular forms, projective structures, and the four squares theorem (2021) (1)
The Penrose transform for complex projective space (2008) (1)
Branching of Representations to Symmetric Subgroups (2008) (1)
PREFERRED PARAMETERISATIONS ON HOMOGENEOUS CURVES (2003) (1)
Classifying the homogeneous hypersurfaces in a homogeneous space (2004) (1)
Symmetries and Invariant Differential Pairings (2007) (1)
A duality for the double fibration transform (2012) (1)
Calculus on symplectic manifolds (2017) (1)
Some Penrose transforms in complex differential geometry (2006) (1)
Book Review: The ambient metric (2013) (1)
The range of a connection and a Calabi operator for Lorentzian locally symmetric spaces (2023) (1)
The Hill-Penrose-Sparling CR manifolds (1988) (1)
Schedule of the workshop : " Recent Developments in Conformal Geometry (2012) (0)
1 8 Ja n 20 00 Drawing with Complex Numbers (2000) (0)
Aerodynamics of Flying Saucers (2020) (0)
Twistor Theory and the Harmonic Hull (2010) (0)
Algebras Like Clifford Algebras (2004) (0)
Thomas P. Branson (1953–2006) (2008) (0)
Another Integral Transform Twistor Theory (2017) (0)
Se p 20 02 Continuous Invariants of Isolated Hypersurface Singularities (2002) (0)
On the analytic cohomology of a domain in a Stein manifold (1981) (0)
Integrability conditions for Heisenberg and Grushin-type distributions (2014) (0)
The projective rigidity of projective space (2013) (0)
The Dolbeault cohomology of complements of analytic subvarieties (1976) (0)
Institute for Geometry and its Applications School of Mathematical Sciences University of Adelaide Workshop on Several Complex Variables and Complex Geometry (2007) (0)
CR geometry and conformal foliations (2012) (0)
THICKENING AND SUPERSYMMETRIC EXTENSIONS OF (2016) (0)
Metrisability of three-dimensional path geometries (2016) (0)
Conformal Loxodromes (2023) (0)
A geometric proof of the Poincaré-Birkhoff-Witt Theorem (2017) (0)
A geometric proof of the Poincaré-Birkhoff-Witt Theorem (2018) (0)
3 Another Integral Transform Twistor Theory (2017) (0)
Riemann surfaces, Clifford algebras and infinite dimensional groups (1990) (0)
Zero { energy Fields on Real Projective (2009) (0)
A ug 2 01 1 ZERO-ENERGY FIELDS ON COMPLEX PROJECTIVE SPACE (2021) (0)
Continuous Invariants of Isolated Hypersurface Singularities (2002) (0)
A double fibration transform for complex projective space (2012) (0)
Texas Geometry and Topology Conference the X-ray Transform on Complex Projective Space (0)
Some remarks on non-Abelian sheaf cohomology (2001) (0)
Institute for Mathematical Physics Some Special Geometry in Dimension Six Some Special Geometry in Dimension Six (2000) (0)
A Penrose Transform for D4 and Homomorphisms of Generalized Verma Modules (1992) (0)
D G ] 1 1 O ct 2 01 8 AERODYNAMICS OF FLYING SAUCERS (2018) (0)
The Research of Thomas P. Branson (2008) (0)
Singularities of Semiconformal Mappings (The second Japanese-Australian Workshop on Real and Complex Singularities) (2008) (0)
Classifying the homogeneous hypersurfaces (2004) (0)
SPACES OF COMPLEX NULL GEODESICS (2009) (0)
A ug 2 00 4 TOWARDS A CLASSIFICATION OF HOMOGENEOUS TUBE DOMAINS IN C (2019) (0)
Some remarks on the Pluecker relations (1999) (0)
Commentationes Mathematicae Universitatis Carolinae (2012) (0)
Extracting invariants of isolated hypersurface singularities from their moduli algebras (2012) (0)
The twistor description of linear fields (1982) (0)
Spinors in Five-Dimensional Contact Geometry (2022) (0)
Institute for Mathematical Physics Semi{holonomic Verma Modules Semi-holonomic Verma Modules (2009) (0)
Aerobatics of Flying Saucers (2020) (0)
Review of Musso, I., The local embedding problem for optical structures (1995) (0)
Hypersurface twistors and Cauchy-Riemann manifolds (2001) (0)
Institute for Mathematical Physics Some Remarks on the Pl Ucker Relations (2009) (0)
The linearised Einstein equations as a gauge theory (2022) (0)
The spherical phylon group and invariants of the Laplace transform. (1996) (0)
Invariant theory in differential geometry (1994) (0)
Holomorphic realization of d-bar-cohomology and contructions of representations (1995) (0)
ASPECTS OF PARABOLIC INVARIANT THEORYA (0)
Conformal structure in geometry, analysis, and physics (2019) (0)
Review of Horan, R., Analytic cohomology of blown-up twistor spaces (1995) (0)
Conformal and CR geometry from the parabolic viewpoint (2012) (0)
A notion of duality for twistor functions (1986) (0)

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