| Research Area | Topic | Professor | Description | Deadline |
| Algebra and Number Theory & Geometry and Topology | Shuffle algebra techniques in representation theory | Prof. Andrei NeguÈ | We seek PhD candidates with strong backgrounds in representation theory and excellent combinatorial skills, in order to work on new approaches in the study of quantum loop groups using shuffle algebras. The broader research program is connected to geometric representation theory, quantum topology and categorification, and mathematical physics. For contact: here. | April 15, 2025 |
| Research Area | Topic | Professor | Description | Deadline |
| Applied and Computational Mathematics | Error-controlled Bayesian methods for inverse materials design | Prof. Michael Herbst | In this PhD thesis we will explore combining recent advances from analytical a posteriori error estimates with Bayesian approaches for the inverse design of materials. The ideal candidate has an interest in learning about electronic structure theory or atomistic modelling as well as a prior background in multiple of the following: Bayesian optimisation, Gaussian Process Regression, inverse design for PDEs in engineering or physics, mathematical structure of quantum physics, condensed matter physics. For more information see matmat.org/jobs. | April 15, 2025 |
| Research Area | Topic | Professor | Description | Deadline |
| Discrete Mathematics | Extremal Combinatorics | Prof. Oliver Janzer | We seek outstanding candidates interested in the following areas: Extremal Graph Theory, Ramsey Theory, Probabilistic Combinatorics, connections of Extremal Combinatorics and Theoretical Computer Science. For contact details and more information, see: https://sites.google.com/view/oliver-janzer/home | December 15, 2024 |
| Research Area | Topic | Professor | Description | Deadline |
| Ergodic Theory, Combinatorics, and/or Number Theory | The PhD research can focus on one or a combination of the following topics: ergodic theory, topological or symbolic dynamics, additive combinatorics, combinatorial number theory, multiplicative number theory, or Ramsey theory | Prof. Florian Richter | We invite applications for a PhD position starting in September 2025. Funding is available for four years, and the position offers excellent research conditions. | December 15, 2024 |
| Research Area | Topic | Professor | Description | Deadline |
| Analysis | PDEs in Fluid Dynamics and Kinetic Theories | Prof. Maria Colombo | A PhD position is available in the field of Partial Differential Equations. The successful candidate will work on the SNSF Ambizione project led by Dr. Michele Dolce, titled âLong-time Behavior of PDEs in Fluid Dynamics and Kinetic Theoriesâ. The candidate will join the AMCV group. More details can be found at https://www.epfl.ch/labs/amcv/amcv/open-positions/ | December 15, 2024 |
| Research Area | Topic | Professor | Description | Deadline |
| Probability and Stochastics | Stochastic differential equations | Prof. Xue-Mei Li | A PhD position is available in the Chair of Stochastic Analysis. We seek outstanding candidates interested in the following topics: stochastic differential equations, stochastic partial differential equations, and stochastic processes on manifolds. For more details, see https://www.epfl.ch/labs/stoan/open-positions/ and https://www.epfl.ch/labs/stoan/ | December 15, 2024 |
| Research Area | Topic | Professor | Description | Deadline |
| Applied and computational mathematics | Randomized linear algebra for data analysis and complex simulations | Prof. Laura Grigori | This PhD will focus on randomization for numerical linear algebra operations arising in large scale numerical simulations and data analysis problems. Randomization is a compelling technique that relies on dimensionality reduction for solving large scale problems that are out of reach by deterministic methods. For more details see https://www.epfl.ch/labs/hpnalgs/ | September 15, 2024 |
| Research Area | Topic | Professor | Description | Deadline |
| Applied and computational mathematics | Numerical Modelling and Simulation | Prof. Annalisa Buffa | For the project « FLASh: Fast simulation tools for LAttice Structures », funded by the Swiss National Science Foundation, we are opening a doctoral position for developing lightning fast algorithms for simulating and optimizing the behavior of architected materials using finite element techniques. You will have the opportunity to work on the design and implementation of mathematically sound methods for the fast simulation and optimization of architected materials combining techniques such as unfitted finite element methods, domain decomposition, reduced order modeling, or isogeometric analysis. Contact: [email protected] | September 15, 2024 |
| Research Area | Topic | Professor | Description | Deadline |
| Applied and computational mathematics | Reduced order models and fast computational tools for domestic heat pump simulation and design | Prof. Fabio Nobile | A PhD position may be available in the Chair of Scientific Computing and Uncertainty Quantification (CSQI) on the development of reduced order models, fast simulation tools, uncertainty propagation, and robust optimization techniques for the design of domestic heat pumps driven by gas-bearing small scale turbocompressors. The project is in collaboration with the Laboratory for Applied Mechanical Design (LAMD) and the Automatic Control Laboratory (LA3) at EPFL. webpage: https://www.epfl.ch/labs/csqi/page-70214-en-html/ | September 15, 2024 |
| Research Area | Topic | Professor | Description | Deadline |
| Applied and computational mathematics | Non-convex optimization: landscapes, algorithms, complexity and geometry | Prof. Nicolas Boumal | We study theory and algorithms for continuous optimization, especially in non-convex settings. Accordingly, we aim to leverage other types of beneficial structure, such as symmetry and geometry. We aim to understand why existing algorithms behave better or worse than one might expect, and we try to find even better algorithms — or proof that none exists. Often times, randomness in the data or in the algorithm plays an important role. This type of research involves a combination of mathematical skills spanning numerical analysis, differential geometry, complexity theory, graph theory, matrix analysis, probability and much more. For more details: https://www.nicolasboumal.net/ | September 15, 2024 |
| Research Area | Topic | Professor | Description | Deadline |
| Algebra and Number Theory | Number Theory | Prof. Maryna Viazovska | The Chair of Number Theory at the Ecole Polytechnique Fédérale de Lausanne (EPFL) invites applications for one or more doctoral researcher positions. We seek outstanding candidates interested in the following areas : the theory of automorphic forms, applications of automorphic forms to harmonic analysis and differential equations, optimal configurations of points in geometric spaces with focus on packing problems. Here are more details | December 15, 2024 |
| Research Area | Topic | Professor | Description | Deadline |
| Algebra and Number Theorem & Geometry and Topology | p-adic/motivic integration | Prof. Dimitry Wyss | The Chair of Arithmetic Geometry is advertising a PhD position at the intersection of algebraic geometry and number theory. Concretely the project will evolve around the theory of p-adic and motivic integration with a view towards applications in enumerative geometry, representation theory and singularity theory. For any questions please contact [email protected] | December 15, 2024 |