PETER J. BADDOO
Welcome to my academic website!
I am an applied mathematician working at Imperial College London. My main research interests are currently:
Complex function theory
Machine learning and data-driven methods
I am currently an EPSRC Doctoral Prize Fellow in the Department of Mathematics at Imperial College London. I completed my PhD in July 2019 in the Department of Applied Mathematics and Theoretical Physics at the University of Cambridge. Prior to that, I completed a four-year MMath at the University of Oxford.
I am originally from Reading, UK. Asides from research, my interests are sports, music and theology.
SELECTED RECENT PAPERS
Here are three papers I've been working on recently:
2019: "Periodic Schwarz–Christoffel mappings with multiple boundaries per period" (link)
Peter J. Baddoo, D. G Crowdy, Proceedings of the Royal Society A
2019: "Acoustic scattering by cascades with complex boundary conditions: compliance, porosity and impedance" (link)
Peter J. Baddoo, L. J. Ayton, preprint
2019: "A Jacobi spectral collocation method for the steady aerodynamics of porous aerofoils" (link)
Peter J. Baddoo, R. Hajian, J. W. Jaworski, in Proceedings of the AIAA Fluid Dynamics Conference
You can view a more complete list here.
The image in the header is an illustration of the trajectories of point vortices embedded in a potential flow with a periodic array of obstacles. The dynamical system can be expressed in a conservative form which leads to a Hamiltonian that describes the vortex paths. The colours denote the energy of each configuration: red means highly energetic states whereas blue corresponds to states with low energy. Analytic expressions for the trajectories are available in a canonical circular domain which is then mapped to the physical domain using a novel periodic Schwarz-Christoffel mapping formula.
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