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

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: May 5, 2024