معرفی
Matthew King is a Postdoctoral Research Fellow at the Department of Medical Physics and Biomedical Engineering, University College London (UCL), where he works within the Biomedical Ultrasound Group under Bradley Treeby. Previously, he held a David Crighton Fellowship at the University of Cambridge's Department of Applied Mathematics and Theoretical Physics (DAMTP) under Dr. Lorna Ayton. He completed his PhD at the University of Warwick under Dr. E. Brambley, focusing on complex analysis techniques applied to fluid dynamics and aeroacoustics. His research explores critical layer phenomena, Wiener-Hopf methods, and the Modified-Myers boundary condition under quadratic shear flows. Key contributions include stabilizing hydrodynamic instabilities through critical layer interactions and constructing analytical solutions to the Pridmore-Brown equation.
Educations:
- PhD in Mathematics, University of Warwick (supervised by Dr. E. Brambley)
- David Crighton Fellowship, University of Cambridge (2021-2022)
- MMath in Mathematics, University of Sussex
Research Interests: Matthew's work centers on fluid dynamics and aeroacoustic applications, particularly in analyzing sound attenuation in aircraft engine ducts. He employs complex analysis, numerical methods, and boundary condition modeling to study wave scattering, critical layers, and hydrodynamic instabilities. His techniques include the Wiener-Hopf method and Frobenius series solutions for differential equations.
Scientific Awards:
- David Crighton Fellowship (awarded by DAMTP, University of Cambridge)
Teaching & Advising: Matthew supervised first-year mathematics students at the University of Warwick in modules like Linear Algebra, Analysis, and Differential Equations. He also supported a student at the University of Sussex in Probability Theory and Dynamical Systems.
Labs & Collaborations: Active in the Biomedical Ultrasound Group at UCL and collaborated with DAMTP during his fellowship. His research contributes to advancements in analytical solutions for acoustic and fluid dynamics problems.
