Rohini Ramadas: The field of complex dynamics began in the early 1900s with the study of iterating polynomials with complex coefficients. It gained momentum in the 1980s with important results on the structure of the Mandelbrot set by Douady-Hubbard and others, and connections established by Thurston, Sullivan and others with…
Vinicius Ramos: The Toda lattice is one of the earliest examples of a non-linear completely integrable system. Under a large deformation, the corresponding Hamiltonian flow can be seen to converge to a billiard flow in a simplex. In the 1970s, action-angle coordinates were computed for this system using a non-canonical…