Professor, presently on leave

Institute of Mathematics, University of Silesia, ul. Bankowa 14, 40-007 Katowice, Poland

Visiting professor

Institute of Mathematics, University of Szczecin, ul. Wielkopolska 15, 70-451 Szczecin, Poland

Professor Emeritus

Department of Mathematics and Statistics, University of Saskatchewan

106 Wiggins Road, Saskatoon, SK, S7N 5E6, Canada

Email: fvk [at] math.us.edu.pl

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
- spaces of real places
- 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 theory
- algorithmic and computational aspects and applications of valuation theory

at the

July 23-26, 2014, College of Staten Island, City University of New York

Saskatoon 1999

Segovia, Spain, July 18 to 30, 2011

*Last update: November 23, 2016*