"Bendy Straight Lines"...
...a website which outlines my work in Geometry and Dynamical Systems as a maths researcher at IMPA, in Rio de Janeiro. There are also a few handy links and some visuals.
I am currently a postdoc at IMPA, following on from four years of PhD study in the field of Geometry at Trinity College, Cambridge. The research here in Rio, not to mention the lifestyle, is excellent.
I study (aspects of) Hamiltonian flows, the Ricci Flow, integrable systems, Anosov flows and tomography. During my doctorate I looked at when and why an integrable flow stops being integrable as one applies the Ricci Flow to the underlying manifold, and I also investigated the extent to which integrals of a function determine the function itself.
More recently, generalisations of these ideas have lead to collaborations with people working in such disparate fields as geometric evolution equations, geometric invariant theory, and conformally symplectic dynamics. Using new techniques from the same toolset that was used to prove Poincare's conjecture, one of our main ambitions is to explore Thom's question "does every manifold admit a best metric?".
Possibly not fascinating stuff to a layman, but you'll just have to take my word for how great it can be.
Feel free to contact me about conferences, Brazil, Cambridge, geometry, rowing, lifesaving, surfing or potential socials. All are good things at appropriate times. Well, apart from socials which are always good.