Three UK Math Department alumni will come back to UK and speak to our current faculty and students. 

Tricia Muldoon Brown, Georgia Southern University

Title: Four Words to Live by for Your Career in Academia

Julia Chifman, American University

Title: My Journey into Mathematical and Computational Biology: There is no Common Formula

Aaron Saxton, National Center for Super Computing Applications

Title: "Not All Who Wander Are Lost" -- J.R.R. Tolkien

In many applications, e.g. photonic and quantum systems, one is interested in controlled localization of wave energy. Edge States are a type of localization along a line-defect or interface between media. We study edge states in honeycomb structures (such as graphene and its photonic analogues) and discuss their novel properties. In particular, we examine the formation of Topologically Protected Edge States, which persist and are stable against strong local distortions of the edge, and are therefore potential vehicles for robust energy-transfer in the presence of defects and random imperfections.

We further discuss rigorous results and conjectures for families of continuum PDE models (Schroedinger and Maxwell) admitting edge states which are topologically protected, edge states which are not protected, and states which remain localized near an edge for a very long time, but likely decay eventually.

Refreshments will be served in CP179 at 3:30pm.