John Ryan Data-verified
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Biography and Research Information
OverviewAI-generated summary
John Ryan, a faculty member at the University of Arkansas at Fayetteville, researches topics within differential geometry and mathematical analysis, specifically focusing on boundary value problems and conformally invariant differential operators. His work investigates properties of Laplacians in Euclidean space and on manifolds, exploring concepts such as polynomial null solutions and Bergman and Hardy spaces. Ryan has published on higher-order conformally invariant differential operators and the Π-operator on conformally flat manifolds. His scholarship metrics include an h-index of 19, with 104 total publications and 1,194 total citations. He has collaborated with researchers such as Wanqing Cheng and Raymond Walter, both from the University of Arkansas at Fayetteville, on shared publications.
Metrics
- h-index: 19
- Publications: 105
- Citations: 1,217
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)
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
- Bosonic Laplacians in higher spin Clifford analysis
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