Published multiple papers including 'Patchworking real algebraic hypersurfaces with asymptotically large Betti numbers' in the Journal of Topology (2022); 'Lefschetz section theorems for tropical hypersurfaces' in the Annales Henri Lebesgue (2021); 'Iteration Head: A Mechanistic Study of Chain-of-Thought' in NeurIPS (2024), and more.
Research Experience
Worked as a postdoctoral researcher at Meta, focusing on Large Language Models; conducted research in Topological Data Analysis at the Laboratoire de Mathématiques d'Orsay, Paris-Saclay.
Education
Completed a first postdoc in Topological Data Analysis at the Laboratoire de Mathématiques d'Orsay, Paris-Saclay; completed a PhD under the supervision of Ilia Itenberg at the IMJ-PRG, Sorbonne Université.
Background
Research interests include Machine Learning in general and Large Language Models in particular, as well as Topological Data Analysis, Real Algebraic Geometry, and any topic at the intersection of Geometry and Statistics. Currently, he is a postdoctoral researcher at Meta, working on reasoning in Large Language Models.
Miscellany
Contact: charles [dot] a [dot] arnal [at] gmail [dot] com