Franz-Viktor Kuhlmann
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).
Last update: January 19, 2023