The classical Green's function associated to a simply connected domain in the complex plane is easily expressed in terms of a Riemann mapping function. The purpose of this paper is to express the ...

Geometric Function Theory focuses on the study of analytic functions through the lens of geometry, with particular emphasis on conformal mappings. These mappings, which preserve local angles and the ...

Neuroscientists distinguish brain regions based on what they do, but now have a new way to overlay information about how they are built, too. To understand the massive capabilities and complexities of ...

Two projects — one that maps the function of the brain’s neuronal network in unprecedented detail and another that combines robotics and light-based computer circuits to create safe self-driving ...