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
From September 2020 I will be an Instructor at MIT Math.
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. Beyond research, my interests are sports, music and theology.
SELECTED RECENT PAPERS
Here are three papers I've been working on recently:
2020: "Exact solutions for ground effect" (link)
Peter J. Baddoo, M. Kurt, L. J. Ayton, K. W. Moored, Journal of Fluid Mechanics Rapids
2019: "Periodic Schwarz–Christoffel mappings with multiple boundaries per period" (link)
Peter J. Baddoo, D. G. Crowdy, Proceedings of the Royal Society A
2019: "Unsteady aerodynamics of porous aerofoils" (link)
Peter J. Baddoo, R. Hajian, J. W. Jaworski, preprint
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 interaction energy. Analytic expressions for the trajectories are available in a canonical circular domain which is then mapped to the physical domain using a new periodic Schwarz–Christoffel mapping formula.
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