Fields of interest:
The main topics of my research are: Algebraic geometry, in particular the singularities of algebraic varieties and their resolution in zero and prime characteristic; Complex analytic geometry; Comparison of algebraic and analytic structures; Artin approximation, arc spaces and infinite dimensional geometry; Division and recursion theorems for power series.
- Artin Approximation (with G. Rond), Manuscript 2013, 67 pp. [PDF]
- Encoding algebraic power series (with M.E. Alonso, F.J. Castro-Jiménez), Manuscript 2014, 35 pp. [PDF]
- A game for the resolution of singularities (with J. Schicho),Proc. London Math. Soc. 105 (2012), 1149-1182. [PDF]
- Arcs, Cords and Felts: Six Instances of the Linearization Principle (with C. Bruschek), Amer. J. Math. 132 (2010), 941-986. [PDF]
On leave for Chaire Jean Morlet on Artin Approximation, Marseille.