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I am a researcher currently working on:
- real algebraic geometry of plane curves;
- combinatorics;
- singularity theory;
- Morse theory;
- topology;
- the study of polynomial functions of several variables.
- Publications - in preparation:
1. Construction of all separable snakes in one variable
2. The asymptotic Poincaré-Reeb tree of bivariate polynomial functions
- PhD Thesis:
Title: "The shapes of level curves of real polynomials near strict local minima".
Under the supervision of: Assistant Prof. Arnaud Bodin and Prof. Patrick Popescu-Pampu.
Defended on: the 10.10.2018, at Paul Painlevé Laboratory from Lille University and École Doctorale Sciences Pour l'Ingénieur.
Thesis commitee: Arnaud Bodin (advisor), Benoit Fresse, Evelia R. García Barroso (reviewer), Étienne Ghys (president), Ilia Itenberg (reviewer), Hélène Maugendre, Patrick Popescu-Pampu (advisor).
Key words: geometry, topology, singularities, Morse theory, real algebraic curve, polar curve, discriminant curve, Poincaré-Reeb tree, non-convexity, separable permutation, Arnold's snake, Jordan curve.
Financial support: 50% Labex CEMPI (Centre Européen pour les Mathématiques, la Physique et leurs interactions) and 50% Région Hauts-de-France.
Last update: 20.11.2018
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