I am mainly interested by 3-dimensional topology and knot theory.
Here are a very introductory presentation of part of my work Quelques présentations des variétés de dimension 3 (in French) and a less introductory survey of my first results On the Casson invariant.
I currently work on knot and 3-manifold invariants, which count graph configurations in 3-manifolds, following Witten's study of the pertubative expansion of Chern-Simons theory, and a topological approach due to Kontsevich. These invariants provide universal finite type invariants. I wrote introductory lecture notes about them in An introduction to finite type invariants of knots and 3-manifolds defined by counting graph configurations.
Postal address: Christine Lescop, Université Grenoble Alpes, Institut Fourier, CS 40700,
38058 Grenoble cedex 9, France
Delivery address for private carriers: Christine Lescop, Institut Fourier, 100 rue des maths, 38610 Gières, France
Find me in Institut Fourier.