|If you are interested in any of these topics, you are welcome to contact the Professor responsible for the position. Also, it is recommended to mention your interest in the application form, among your scientific interests and in your statement of objectives.|
|Geometry and Topology
||Cellular techniques in higher Topology
||MER Jérome Scherer
||Cellular techniques have been influencial in homotopy theory as shown Dror Farjoun and Chacholski. The aim of this project is to develop such tools in higher topoi, introduced by Lurie.||6.1.20
| Applied and Computational Mathematics
||Machine learning and optimization methods in computational science||Prof. Fabio Nobile|| A PhD position is available within the project “High Dimensional Hierarchical Optimization methods for Machine Learning and Stochastic Optimal Control” funded by KAUST (King Abdullah University of Science and Technology) in collaboration with Profs. Bernard Ghanem and Raul Tempone.
The student should have a good background in few of these areas: numerical methods for deterministic / stochastic differential equations, numerical optimization, optimal control and dynamic programming, computational statistics, approximation theory, machine learning. He/she should also be open to collaborative research and possibility of extended stays in KAUST. https://www.epfl.ch/labs/csqi/
|Probability theory and stochastic processes
||Prof. Robert Dalang
||There will be 1-2 open Ph.D. positions in probability theory/stochastic analysis. The main emphasis is the study of sample path properties of solutions to stochastic partial differential equations. Webpage: https://www.epfl.ch/labs/prob/
|Applied and Computational Mathematics
||Mathematics in Computational Sciences||Prof. Daniel Kressner||The group ANCHP offers 1-2 open PhD positions In Computational Linear Algebra. The current focus of the group is on low-rank matrix and tensor techniques, including theory, algorithms, and applications.
|Applied and Computational Mathematics||Numerical Methods for Optimization Under Uncertainty
|Prof. Fabio Nobile
||A PhD position is available within the CSQI chair in the area of optimization under uncertainty in engineering systems to develop efficient deterministic and stochastic optimization methods, continuing recent work done within the chair (see csqi publication list)Webpage: https://www.epfl.ch/labs/csqi/page-70214-en-html/||11.9.2019