The new proof broadly consists of three steps: derive the macroscopic theory from the mesoscopic one; derive the mesoscopic theory from the microscopic one; and then stitch them together in a single ...

It all starts with something called the Kakeya conjecture. A “conjecture” is a math guess—an idea that seems true, but nobody has proven it yet. The Kakeya problem is about figuring out the smallest ...

Gain in-depth knowledge of mathematical application to an area of interest Develop knowledge of problem-formulation, problem-solving, and modeling techniques and strategies central to applications ...

Our curriculum retains classical mathematical approaches while incorporating data-driven and computational techniques. In this way, we are training scientists to solve the biggest problems in the ...