/ School of Mathematics
Nonlinear partial differential equations
I am interested in geometric PDEs, especially those which originate from physics. I enjoy thinking about these PDEs since their understanding requires combining ideas from a diverse range of fields, such as harmonic analysis, differential geometry and physics. Specific equations that I have considered so far include the Yang-Mills equations, Einstein equations, various Chern-Simons theories, wave maps, incompressible Euler equations and incompressible extended MHD equations.