Picture of Franz-Viktor Kuhlmann

Franz-Viktor Kuhlmann

Professor Emeritis

Mathematics & Statistics professor emeritus

McLean Hall 142

Research Area(s)

  • General valuation theory and field theory
  • Applications of valuation theory to algebraic and arithmetic algebraic geometry: local uniformization and desingularization in arbitrary characteristic
  • Model theory of valued fields (generalizations of the Ax-Kochen-Ershov Theorem and quantifier elimination), power series fields in positive characteristic
  • Valuations on function fields
  • Valuation theory of ordered fields with exponential functions or derivations, Hardy fields, o-minimality
  • Ordered structures, lexicographic products of ordered sets
  • Ultrametric spaces
  • Fixed point theorems


Algebra and model theory field theory ordered structures resolution of singularities valuation theory