Last updated October 14, 2022
PostDocs in Mathematics at the Massachusetts Institute of Technology
This Postdoctoral Associate position is part of an MIT-based team working under the direction of Principal Investigator David Jerison as part of a Simons Foundation collaboration with PIs at U. of Minnesota, U. C. Santa Barbara, U. Cambridge, ETH Zurich, Université de Genève, and several schools in Paris. The postdoctoral associate will be engaged in mathematical research and numerical experiments. This is a full time, one-year position. It may be combined and extended with a separate application for a teaching position at MIT or combined with a postdoctoral position elsewhere in the collaboration. Responsibilities include devising ways to determine the shape of eigenfunctions, eigenvalue distributions, the behavior of harmonic measure, and to study optimal partitioning problems; assisting with the design of algorithms for numerical experiments motivated by theoretical physics and physical experiments; coordinating with researchers across multiple institutions, both internal and external to the collaboration, working in areas relevant to the research agenda of the collaboration; assisting in training and development including running workshops or teaching minicourses on topics relevant to the collaboration and the supervision of student researchers; participating in monthly meetings and annual workshops run by the collaboration; disseminating research through conference presentations and journal articles. For more information and to apply see http://www.mathjobs.org (position ID #21113).
PostDocs in Computational Mathematics at the University of Minnesota
The School of Mathematics at the University of Minnesota invites applications for two post-doctoral positions in computational science and mathematics under the supervision of Douglas Arnold beginning no later than Fall 2023. The positions are supported by the Simons Collaboration on Localization of Waves, founded in 2018 and recently renewed through 2025. The postdocs will work with collaboration members on advancing the understanding of the behavior of waves traveling in disordered media and particularly the fascinating behavior known as localization. For more information and to apply see http://www.mathjobs.org (position ID #20678).
PhD Graduate position in Spectroscopic study of the Anderson transition with ultracold atoms in tailored disordered potential at Institut d’Optique
Anderson localization is an intriguing phenomenon of wave propagation in random media, where destructive interference between various diffusion paths yields to a complete suppression of transport. It has attracted a lot of attention over past decade, from electronic to classical waves (light, acoustic and even seismic waves). However fundamental questions remain open, especially in 3D where an insulator to metal (localization to delocalization) quantum phase transition occurs. In this context, studying the propagation of ultracold atoms in optical random potentials offers new perspectives. Our team at Institut d’Optique has produced landmark results, with the first observations of Anderson localization in 1D and 3D. Recently the group has developed a new method to study precisely the Anderson transition that occurs in 3D, an important challenge being the possibility to measure precisely the energy of the transition (the “mobility edge”).The goal of the PhD project is to provide a detailed study of the 3D Anderson transition based on a new experimental method that we are developing. The PhD work will be essentially experimental. However significative interactions are expected with M. Filoche and S. Mayboroda, who are developing a new theoretical framework of the Anderson localization (the “hidden landscape theory”). In particular, an important goal will be to compare the experimental findings with the recent prediction of the mobility edge position using the landscape theory. More information can be found on the team's website or contact Vincent Josse to apply.