John Ryan Source Confirmed
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Researcher
University of Arkansas at Fayetteville
faculty
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Biography and Research Information
OverviewAI-generated summary
John Ryan's research focuses on the mathematical analysis of differential operators, particularly Laplacians, within various mathematical spaces. His work investigates boundary value problems and null solutions related to bosonic Laplacians, exploring concepts such as Bergman and Hardy spaces. He has also studied the properties of higher-order conformally invariant differential operators on conformally flat manifolds and hyperbolic half spaces.
Ryan has published 104 works, accumulating 1,194 citations and an h-index of 19. He has collaborated with researchers such as Wanqing Cheng and Raymond Walter at the University of Arkansas at Fayetteville. His recent publications in 2024 include work on boundary value problems and higher spin Clifford analysis related to bosonic Laplacians.
Metrics
- h-index: 19
- Publications: 104
- Citations: 1,194
Selected Publications
- Boundary value problems in Euclidean space for bosonic Laplacians (2024) DOI
- Polynomial null solutions to bosonic Laplacians, bosonic Bergman and Hardy spaces (2022) DOI
- Ellipticity of Some Higher Order Conformally Invariant Differential Operators (2022) DOI
- The Π‐operator on some conformally flat manifolds and hyperbolic half space (2021) DOI
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