Morgan Weiler, Cornell University: Symplectic geometry is the study of 2-forms on even-dimensional manifolds. Its roots are in Hamiltonian mechanics, but the fact that symplectic forms are all locally standard often suggests a global perspective. In low dimensions, symplectic tools are particularly powerful, reproducing gauge…
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…