# UW RTG IPDE Summer School 2012

## Topic

**Research Training Group
Inverse Problems and Partial Differential Equations
**

A three-week summer school giving advanced undergraduates and beginning graduate students the opportunity to study with the University of Washington's integrated Inverse Problems/PDE group. Students will attend lectures in the morning and problem sessions in small groups with mentors in the afternoon. Advance your career by learning from experts in these fields while visiting Seattle during summer 2012, when the Pacific Northwest is at its best.

## Details

Mini Courses:

**The Radon transform and the X-Ray Transform** (Robin Graham, Peter Kuchment, and Leonid Kunyansky) This course will present in detail the essential properties of these transforms, including inversion formulas. The X-ray transform models one of the basic inverse problems arising in computerized tomography (CT). It consists of determining the density of tissue by measuring the attenuation of X-rays passing through the body. The inverse problem for the Radon transform consists of determining a function from integrals along planes. Students will also work on Matlab programs implementing the filtered backprojection algorithm commonly used in CT scans, and some of its generalizations. Problem sessions and computer labs will be scheduled during the afternoons.

**A mathematical approach to cancer growth**(John Lowengrub, Ami Radunskaya, and Tatiana Toro). More information to be posted soon.

## Additional Information

**Program details:**
Open to advanced undergraduates and beginning graduate students.
On-campus accommodation and meals will be provided, plus a travel
allowance of up to $600.
Must be a U.S. citizen or permanent resident.
**Note:** Applications from international students may be considered, but
international students must provide their own support for travel,
accommodation, and meals. In particular small travel grants may be available for Canadian students, who should contact PIMS Deputy Director George M. Homsy (bud@pims.math.ca) for possible support.

**To Apply:
**Submit by **April 1** via the online application:

Personal statement about why you would like to attend the IPDE Summer School at the University of Washington.

Names of two people whom you will ask to submit letters of recommendation.

For other information please visit the event site.

Robin Graham, UW

Peter Kuchment, Texas A&M

Leonid Kunyansky, Arizona

John Lowengrub, UC Irvine

Ami Radunskaya,Pomona

Tatiana Toro, UW

**Scientific, Summer School**

**July 2–20, 2012**

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