Please note that this seminar will take place at 11:00 AM ET and will be held online, via Zoom. Send an email to [email protected] for the Zoom link.

Speaker: Michael Vogelius, Rutgers University

Title: "Relations between scatterer regularity/geometry and the existence of nonscattering incident waves"

Abstract: I will discuss some recent results about the implications of the existence of nonscattering incident waves, as far as the scatterer regularity and geometry is concerned. These results are in the context of the Helmholtz equation. One such result significantly extends already known results about corners always scattering, by asserting that "singularities almost always scatter". Another result concerns Herglotz incident waves, and shows how small perturbations of a ball dramatically changes the number of nonscattering wave-numbers (from infinite to finite).    

Bio: Michael Vogelius is the Board of Governors Professor at Rutgers University. He received his Ph.D. from the University of Maryland in 1980 (advisor: I. Babuska), worked as a Postdoc at the Courant Institute (from 1980- 82), and then returned to the University of Maryland (1982-89) where we was an Assistant, Associate, and Full Professor. He then joined the faculty at Rutgers University in 1989. He is a Fellow of SIAM and AMS. He is also a Member of the Royal Danish Academy of Sciences and Letters.