Mathematical Researcher in Partial Differential Equations
Há 2 dias
Aix-Marseille Université is seeking a highly motivated PhD Student to join our Applied Analysis team. This is an exceptional opportunity for an individual with a strong background in mathematics to contribute to the ANR project 'Geometrically Dependent Hamiltonian' (GeoDHa).
As a PhD student, you will work on investigating the impact of geometry on energy levels of quantum mechanical models incorporating special relativity effects. This involves finding eigenpairs of a first-order elliptic PDE and studying their dependence on the domain's geometry. The goal is to provide insights into how such eigenpairs vary when considering degenerating domains.
This project offers the chance to explore several related problems from different perspectives, depending on your interests. Our team focuses on theoretical and numerical approaches to Partial Differential Equations, making this a great fit for someone looking to develop their skills in these areas.
The ideal candidate should hold a master's degree in mathematics or related fields, with experience in operator theory, spectral theory, differential geometry, and/or finite elements methods. Proficiency in English or French is required.
We offer a competitive salary, around €35,000 per annum, given the location and typical standards for research positions in France. This compensation reflects the market rate for PhD students in similar roles at other top-tier universities in Europe. In addition to the salary, benefits may include access to high-performance computing resources, opportunities for professional development, and a dynamic work environment.
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