Professor,

Institute of Mathematics, University of Szczecin,

ul. Wielkopolska 15, 70-451 Szczecin, Poland

Email: fvk [at] usz.edu.pl

*and*

Professor Emeritus

Department of Mathematics and
Statistics, University of Saskatchewan

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

Email: fvk [at] math.usask.ca

I am a member of the board of editors of the Journal of Algebra and of the board of editors of the Annales Mathematicae Silesianae.

Research interests:

valuation theory, real algebra and ordered structures, model theoretic algebra; in particular:

- general valuation theory,
- applications of valuation theory to algebraic and arithmetic algebraic geometry: local uniformization and desingularization in arbitrary characteristic and arbitrary dimension,
- model theory of valued fields (generalizations of the Ax-Kochen-Ershov Theorem, quantifier elimination, decidability),
- valuations on function fields, Zariski spaces of places,
- spaces of real places,
- ordered sets, abelian groups and fields,
- valuation theory of ordered fields with exponential functions or derivations, Hardy fields,
- ultrametric spaces,
- fixed point theory of contracting functions (ball spaces).

Saskatoon 1999

Proceedings

Segovia, Spain, July 18 to 30, 2011

*Last update: November 6, 2019*