# Herwig Hauser

**Homepage:** http://www.hh.hauser.cc

**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.

**Teaching**

**Algebra-course, Geometry-seminar, fall 2014**

**Selected publications**

*Artin Approximation*(with G. Rond), Manuscript 2013, 67 pp. [PDF]*Encoding algebraic power series*(with M.E. Alonso, F.J. Castro-JimĂ©nez), 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]

**Spring 2015:**

On leave for Chaire Jean Morlet on Artin Approximation, Marseille.