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BIO
Jamie Taylor’s research interests lie in the field of Applied Analysis, within a diverse range of research topics, and he works with an international network of interdisciplinary collaborators. These research topics have included the statistical mechanics of liquid crystalline phases, solid-solid phase transitions, homogenisation via asymptotic analysis and, more recently, deep-learning techniques for numerically solving partial differential equations.Research IDs:
Orcid ID: 0000-0002-5423-828X
Education
PhD in Mathematics, University of Oxford (2016)
MMath, Cardiff University (2012)
Research Interests
Applications of mathematical analysis to models from materials science and inverse problems using machine-learning techniques.
Career
Postdoctoral Fellow, Basque Center for Applied Mathematics, September 2018–August 2022
Postdoctoral Research Scholar, Kent State University, March 2017–August 2018
Postdoctoral Research Assistant, October 2016–January 2018; Research Leave granted March 2017–July 2017
Publications in Scientific Journals
Ceuca, Razvan-Dumitru; Taylor, Jamie M.; Zarnescu, Arghir: “Effective surface energies in nematic liquid crystals as homogenised rugosity effects”, Communications in Contemporary Mathematics, 2250020, 2022.
Rivera, Jon A.; Taylor, Jamie M.; Omella, Ángel J.; Pardo, David: “On quadrature rules for solving Partial Differential Equations using Neural Networks”, Computer Methods in Applied Mechanics and Engineering, 393, Art. 114710, 2022.
Canevari, Giocomo; Taylor, Jamie M.: “Holder regularity and convergence for a non-local model of nematic liquid crystals in the large-domain limit”, Nonlinear Analysis, Theory, Methods and Applications, 215, Art. 112641, 2022.
Taylor, Jamie M.; Fai, Thomas; Virga, Epifanio G.; Zheng, Xiaoyu; Palffy-Muhoray, Peter: “Cavity volume and free energy in hard particle systems”, Journal of Nonlinear Science, 31(5), 87,2021
Della Porta, Francesco; Ruland, Angkana; Taylor, Jamie M.; Zillinger, Christian: “On a probabilistic model for martensitic avalanches incorporating mechanical compatibility”, Nonlinearity, 34(7), 4844-4896, 2021.
Otros profesores
