Eriko Hironaka

In this talk, we discuss the following question first popularized in the 1980s by the then startling new computer renderings of the Mandelbrot set. Given a rational map from the Riemann sphere to itself, how does the behavior of the map near the...

The deformation space of a rational map is a submanifold of Teichmueller space parameterizing maps that are combinatorially and dynamically equivalent. S. Koch and I recently showed that this space need not be connected, and can have infinitely many...