Welcome to IP@AM !
Welcome to IP@AM, a group of Applied Mathematicians at Columbia University interested in the theory and computation of Inverse Problems.
This page presents some of the work done by us and other people at Columbia University in the field of Inverse Problems and Imaging.
Research InterestThe IP@AM group's research focuses on the following topics, with applications in medical and geophysical imaging:
- Theoretical and Computational Inverse Problems,
- Inverse Transport and Inverse Diffusion problems,
- Integral Geometry,
- Inverse Problems with Internal Functionals (Hybrid Inverse Problems),
- Kinetic-based Imaging in Heterogeneous media,
- Physics-based modeling of Measurement Noise.
MembersMost of this research is conducted under the supervision of Professor Guillaume Bal.
The members currently at the department of Applied Physics and Applied Mathematics are Cedric Bellis, a Postdoctoral fellow, as well as Francois Monard, Will Martin, Ningyao Zhang, Yu Gu and Chenxi Guo, all graduate students. Collaborations are also inter-departmental, in particular with Pierre Gentine, assistant professor at the Department of Earth and Environmental Engineering at Columbia.
Former members include Nick Hoell now Postdoctoral fellow at the University of Toronto ; Alexandre Jollivet, now Researcher (CNRS chargé de Recherche) at the University of Cergy-Pontoise ; Olivier Pinaud, Associate Professor at the University of Lyon 1 ; Wenjia Jing, now a Postdoctoral fellow at the Ecole Normale Superieure, Paris ; Ian Langmore, now a tenor at the Opera Solutions ; Kui Ren, Assistant Professor at the University of Texas at Austin ; Matias Courdurier Assistant Professor at the Pontificia Universidad Catolica de Chile, Santiago.