Mathematical Researcher

Há 2 dias


Porto, Porto, Portugal Aix-Marseille Université Tempo inteiro

**About the Company:** Aix-Marseille Université is a leading research institution in France, renowned for its excellence in mathematics and related fields. Our research teams are dedicated to advancing knowledge and innovation in various areas, including applied mathematics, geometry, and mathematical analysis.

**Job Description:** We are seeking a highly motivated Ph.D. student to join our team as a researcher on the ANR project 'Geometrically Dependent Hamiltonian' (GeoDHa). The selected candidate will work in the Applied Analysis team at the 'Institut de Mathématiques de Marseille', located on the Saint-Charles campus.

**Research Focus:** The GeoDHa project aims to investigate the impact of geometry on the energy levels of quantum mechanical models that incorporate the effects of special relativity. This involves finding eigenpairs of a first-order elliptic PDE with boundary conditions ensuring self-adjointness of the problem. The overall objective is to understand how such eigenpairs depend on the geometry of the domain in which the PDE is posed.

**Key Responsibilities:**

  • Conduct research in partial differential equations, spectral theory, and asymptotic analysis.
  • Develop and implement numerical methods for solving PDEs.
  • Collaborate with the research team to achieve project objectives.

**Requirements:**

  • Master's degree in mathematics or related field.
  • Knowledge of basic operator theory, spectral theory, differential geometry, and/or finite elements method is a plus.
  • Excellent communication and teamwork skills.

**Benefits:**

  • Competitive salary: approximately €35,000 - €45,000 per annum, depending on experience.
  • Opportunity to work on an exciting research project with a talented team.
  • Access to state-of-the-art research facilities and resources.

**Estimated Salary:** €38,500 per annum, based on French national standards.



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