Reconstruction of less regular conductivities in the plane

 The inverse conductivity problem is the mathematical problem behind a recent technology for medical imaging called Electrical Impedance Tomography. Here one looks to recover the conductivity in a body from static electric measurements on the boundary of the body. The mathematical problem concerns the determination and reconstruction of a coefficient in a partial differential equation in a bounded domain from the associated Dirichlet-to-Neumann map on the boundary of the domain. In this project we give an exact algorithm for the reconstruction of conductivities having essentially one derivative and hence improves earlier reconstruction results. Joint with Alexandru Tamasan, University of Washington, USA.