On a surface with Euclidean ends the speaker and his collaborator recover the magnetic Schrödinger operator, up to gauge equivalence, by wave scattering. This problem turns out to be intimately related to the topology of the surface and the speaker will show how classical index theorems such as Riemann-Roch can play a significant role in understanding this relationship.
About the speaker
Dr Leo Tzou received his BS and MS in Applied Mathematics from the University of British Columbia in 2002 and 2003, and his PhD in Mathematics from the University of Washington in 2007. He was the Szegö Assistant Professor of Mathematics at Stanford University in 2007 – 2010 and the Assistant Professor of Mathematics in the University of Arizona in 2011 – 2013. He is currently an ARC Future Fellow in the School of Mathematics and Statistics of the University of Sydney.
Dr Tzou’s research interests are in geometric inverse problems and inverse problems for first order systems.
