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Research Interests.

Algebra, mathematical logic, and analysis. In particular:

• field theory (ordered fields, valued fields, exponential fields, Hardy Fields)
• model theoretic algebra ( o-minimal structures, exponential-logarithmic power series, transexponential functions)
• ordered algebraic structures (lexicographic orderings, ordered vector spaces)
• models of open induction (primes and irreducibles in exponential integer parts),
• real algebraic geometry (Positivstellensätze, Moment Problems).
• Further interest in: ordered permutation groups, lattice ordered groups, automorphism groups of chains, differential fields, models of arithmetic, geometric algebra, geometric model theory.

Last update: October 17th, 2011