Travel Time Tomography

Abstract

The travel time tomography problem consists on determining the internal properties of a medium by measuring the travel times of waves going through the medium. The speaker will review some of what is known about this problem and describe some new results.

About the speaker

Prof. Gunther Uhlmann obtained his PhD at the Massachusetts Institute of Technology in 1976. After postdoctoral positions at Harvard University, the Courant Institute and MIT, he joined the MIT faculty in 1980. He moved to the University of Washington in 1984. He is currently Excellence in Teaching Chair in Mathematics at University of California at Irvine and Walker Family Endowed Professor in Mathematics at the University of Washington.

Prof. Uhlmann's main current fields of interest are inverse problems, partial differential equations, microlocal analysis and scattering theory. He received the Sloan Fellowship in 1984 and Guggenheim Fellowship in 2001. He was an invited lecturer at the International Congress of Mathematicians in 1998. He was elected Fellow of the American Academy of Arts and Sciences in 2009 and Fellow of the Society of Industrial and Applied Mathematics (SIAM) in 2010. In 2011, he was awarded the Bocher Prize by the American Mathematical Society and the Kleinman Prize by SIAM.