Franz-Viktor Kuhlmann
Professor
Centre for Algebra, Logic and Computation
and Department of Mathematics and Statistics
University of Saskatchewan
106 Wiggins Road, Saskatoon, SK, S7N 5E6, Canada
Email: fvk [at] math.usask.ca - Phone: (306) 966-6111 - Fax: (306) 966-6086

algebra and model theory; in particular:

• 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
• algorithmic and computational aspects and applications of valuation theory

Last update: June 27, 2011