Departments of Statistics and Mathematics and the College
Guillaume Bal’s research interests include applied mathematics; partial differential equations; mathematical analysis of inverse problems, including hybrid inverse problems and inverse transport problems; applications in medical and geophysical imaging; equations with random coefficients and propagation of stochasticity; convergence to deterministic or stochastic models; and wave propagation and imaging in heterogeneous media.
His research has been published in Inverse Problems, Communications in Mathematical Physics, Communications in Partial Differential Equations, the Archive for Rational Mechanics and Analysis, and numerous Society for Industrial and Applied Mathematics (SIAM) journals. Bal is a fellow of the American Mathematical Society and a recipient of the Calderón Prize, which recognizes researchers who have made significant advances in the mathematics of inverse problems.
Bal holds a diploma from the École Polytechnique in Paris and a PhD in applied mathematics from the University of Paris VI. For his PhD thesis, “Coupling of Equations and Homogenization in Neutron Transport,” he was awarded the Jean-Pierre Lepetit Prize. He was a postdoctoral research associate at Stanford University, after which he served as an L. E. Dickson Instructor at the University of Chicago. Most recently, he was a professor of applied mathematics at Columbia University.