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

Research interests:

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

Saskatoon 1999

Segovia, Spain, July 18 to 30, 2011

9th Colloquiumfest and

8th Czech, Polish and Slovak Conference on Number Theory

Bukowina Tatrzanska, Poland, June 21-24, 2010

Fields Institute Summer School & Conference, Ottawa 2006

*Last update: January 6, 2014*