Office: Math 417
Email: sfholman[at]math.purdue.edu
I am sometimes a post-doctoral research associate and sometimes a visiting assistant professor at Purdue University working with the Geo-Mathematical Imaging Group. My background is in inverse problems, differential equations, and differential geometry. I received my PhD from the University of Washington in December 2009 under the supervision of Gunther Uhlmann.
My research is in the area of inverse problems. As part of the Geo-Mathematical Imaging Group at Purdue I have completed several research projects. These include an analysis of some aspects of a multi-scale approach to solving the wave equation with a mind towards applications in imaging, a paper on retrieval of a Green's function from cross-correlation of partly coherent waves propagating in a random medium, and two papers introducing a new generalization of the Dix formula. Some of my current research projects include error estimates for paraxial approximations and tomography using multiply reflected waves. You can find a list of my publications, as well as a copy of my dissertation, and slides from some talks I have given, here.
I am currently coordinating the GMIG seminar which generally occurs at 3:30 pm on Wednesday in REC 103. Here are the scheduled visiting speakers:
| Justin Tittelfitz | University of Washington | January 23 |
| Justin Romberg | Georgia Tech | January 30 |
| Kurt Marfurt | University of Oklahoma | February 20 |
| Lauri Oksanen | University of Washington | February 27 |
In the fall of 2010 I taught Math 266 sections 6 and 9. Here is my website dedicated to those courses.
Currently I am working with Maarten de Hoop and Gunther Uhlmann on a graduate level text book on the application of microlocal analysis to seismic inverse problems. I will post preliminary drafts of each chapter from the book as they become readable (not necessarily complete or error free). If you care to read them and make comments I would greatly appreciate it.
Here are some notes on differential geometry and pseudodifferential operators that I wrote to accompany some lectures I gave in support of a mini-course taught by Plamen Stefanov at MSRI in the summer of 2009.