David Jaz Myers, Johns Hopkins University Title: Universal solutions to control and design problems Abstract: In systems theory, a control problem is a constraint on values of certain variables of a system's state; the problem is solved by the construction of a system whose state ensures that this constraint is satisfied. Dually, a design problem […]

Yajit Jain, Northwestern University Title: Fiberwise Poincare–Hopf Theory and Exotic Smoothings of Fiber Bundles Abstract: We will discuss the Rigidity Conjecture of Goette and Igusa, which states that, after stabilizing and then rationalizing, there are no exotic smoothings of manifold bundles with closed even dimensional fibers. After motivating this work through classical results such as […]

The Johns Hopkins Junior Number Theory Days are a two-day workshop in Number Theory, where the speakers are either PhD students who are graduating, or post-docs who recently graduated. It aims to bring together strong, promising young researchers in Number Theory and neighboring fields, and to give them an opportunity to showcase their work. The […]