**Thesis and internships**

This page has a partial list of proposed internships and thesis:

**Internship and PhD projects proposed by: A. Kashani-Poor (LPTENS)**

String theory in its most common incarnations lives in 10 dimensions. To reduce this number down to the 4 dimensions that we observe (a process called compactification), the geometry of the 6 supplementary dimensions must be specified. 4d physics depends sensitively on the choice of this geometry, giving rise to a beautiful interplay between physics and mathematics.

The research projects I propose are centered around compactification studies, ranging from flux compactifications with a distinctly differential geometric flavor to questions in topological string theory with an emphasis on algebraic geometry methods.

**Internship and PhD topics proposed by : S. Rychkov (LPTENS)**

See here

**Stage and PhD projects in Theoretical Biophysics proposed by : A. Walczak (LPTENS)**

These theoretical biophysics projects are aimed understanding the recognition of pathogens by the receptors of the B- and T-cells of the immune systems using methods of nonequilibrium statistical mechanics. B- and T-cells have receptors on their surface which bind pathogens (or parts of pathogen proteins) and based on this interaction, either "recognize" them as proteins that are natural to the organism ("self") or foreign. The foreign proteins trigger an immune response, aimed at eliminating the pathogen from the organism. If a receptor recognizes a pathogen it proliferates, if it doesnâ€™t recognize anything for a long time - it dies. The repertoire is a set of all the receptors of a given type (B- or T-cells) of a given organism. The projects aim to understand the composition of the repertoire, the distribution of the diversity of the receptors that make up the repertoire, how the repertoire is shaped and maintained and how degenerate are the receptors.

Some of these projects are more theoretical and some are closer to data. All project will involve using methods of nonequilibrium statistical mechanics: probabilistic modeling, stochastic equations, nonlinear dynamics. The data (mainly sequence data) comes from two main experimental collaborators. The data analysis projects will involve learning how to work with this kind of data.

**PhD project proposed by: J. Troost (LPTENS)**

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**PhD prpics proposed by : S. KWalie prPTENS)**

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