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Mathematics

Discover a non-exhaustive list of the different possible professions in the Life, Earth and Environmental Sciences.

Researcher (M/F) in algebraic surfaces

This post involves studying the geometric properties of certain mathematical figures using algebra. The simplest example of an algebraic surface is a sphere or a cone. Both are described by simple equations, they are the zeros of some polynomials in space, but polynomials can take on intricate expressions, making the mastery of sophisticated tools of algebraic geometry essential for studying their properties. Such surfaces can have many points that look like the top of a cone, and you just need to “cut” a small portion of the surface near the point to see it appear. It is a matter of determining the maximum number of these points.

Researcher (M/F) in the mathematics of modeling, numerical analysis, and scientific computing

This post involves representing the world through a system of mathematical equations, reducing its complexity in order to simulate in an adapted and efficient way the phenomena that we are trying to reproduce or predict. Simulation requires the construction of precise and efficient numerical methods. It is necessary to search for these methods’ properties and limits and ensure their convergence towards the system’s solutions. It is also necessary to rigorously run them through computer software to obtain optimal calculation times.

Researcher (M/F) in infectious disease modeling

The importance of modeling infectious diseases was highlighted during the Covid-19 pandemic. This modeling calls upon a wide range of mathematical skills: graph theory for the structure of the population, probability to integrate randomness, statistics for estimating parameters, and numerical methods for the simulations. The mathematician can then make projections on the evolution of an epidemic and anticipate the effectiveness of vaccinations, treatments, and other non-pharmaceutical measures aimed at curbing the epidemic.