REU Site: Inverse Problems for Electrical Networks

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The REU Program on Inverse Problems for Electrical Networks will bring eight undergraduates to the Department of Mathematics at the University of Washington in each of the summers 2008-10 to work on discrete inverse problems. The inverse problem for an electrical network is the problem of finding the conductivity of resistors and shape of a network when the boundary current response to boundary voltages (response matrix) is known. Resistances may be specified by directed or undirected edge functions or vertex functions. Students will investigate the relation between the response matrix and the geometry of the network. The students will also pursue related discrete problems involving Bruhat orders, Schubert varieties and tableaux.