John Ryan
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Researcher
Also affiliated: University of Essex (1987); The University of Sydney (1992); University of South Florida (2010); Yale University (2014); University of Bristol (1894–2008); University of York (1982–1985)
Faculty Researcher
Research Areas
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Biography and Research Information
OverviewAI-generated summary
John Ryan's research focuses on theoretical mathematics, specifically exploring aspects of Clifford analysis and differential operators. His work investigates boundary value problems in Euclidean space, examining properties of bosonic Laplacians and Bergman and Hardy spaces. Ryan has published on the ellipticity of higher-order conformally invariant differential operators and their behavior on conformally flat manifolds and hyperbolic half-spaces. His scholarship metrics include an h-index of 19, with 105 total publications and 1,217 citations. He has collaborated with Wanqing Cheng and Raymond Walter at the University of Arkansas at Fayetteville on shared publications.
Metrics
- h-index: 19
- Publications: 105
- Citations: 1,218
Selected Publications
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Boundary value problems in Euclidean space for bosonic Laplacians (2024)
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Polynomial null solutions to bosonic Laplacians, bosonic Bergman and Hardy spaces (2022)
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Ellipticity of Some Higher Order Conformally Invariant Differential Operators (2022)
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The Π‐operator on some conformally flat manifolds and hyperbolic half space (2021)
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Green's formulas and Poisson's equation for bosonic Laplacians (2020)
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Green's Formulas and Poisson's Equation for Bosonic Laplacians (2020)
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Third-Order Fermionic and Fourth-Order Bosonic Operators (2020)
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Higher Order Fermionic and Bosonic Operators (2019)
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Clifford Analysis and Related Topics (2018)
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On Some Conformally Invariant Operators in Euclidean Space (2018)
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Correction to: Clifford Analysis and Related Topics (2018)
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From Hermitean Clifford Analysis to Subelliptic Dirac Operators on Odd Dimensional Spheres and Other CR Manifolds (2018)
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Construction of Arbitrary Order Conformally Invariant Operators in Higher Spin Spaces (2017)
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Some properties of the higher spin Laplace operator (2017)
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Spherical $$\Pi $$ Π -Type Operators in Clifford Analysis and Applications (2017)
Collaboration Network
Top Collaborators
- Boundary value problems in Euclidean space for bosonic Laplacians
- Ellipticity of Some Higher Order Conformally Invariant Differential Operators
- Polynomial null solutions to bosonic Laplacians, bosonic Bergman and Hardy spaces
- Boundary value problems in Euclidean space for bosonic Laplacians
- Polynomial null solutions to bosonic Laplacians, bosonic Bergman and Hardy spaces
- The Π‐operator on some conformally flat manifolds and hyperbolic half space
- Ellipticity of Some Higher Order Conformally Invariant Differential Operators
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