Develops and analyzes approximate methods of solving the Bayesian inverse problem for high-dimensional dynamical systems. After briefly reviewing mathematical foundations in probability and statistics ...

Dr. Uhlenbeck helped pioneer geometric analysis, developing techniques now commonly used by many mathematicians. By Kenneth Chang For the first time, one of the top prizes in mathematics has been ...

A novel mathematical approach enables the identification of brain regions whose connectivity shifts in autism or aging, informing targeted brain stimulation therapies.

In our mind’s eye, the universe seems to go on forever. But using geometry we can explore a variety of three-dimensional shapes that offer alternatives to “ordinary” infinite space. When you gaze out ...