Approximate AKE principle completely describes elementary equivalence for metric valued fields in equicharacteristic 0 via residue field and value group; metric valued difference fields have no model companion.
The Elementary Theory of the Frobenius Automorphisms
2 Pith papers cite this work. Polarity classification is still indexing.
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Generic automorphisms of stable groups are supertight, with new results linking them to field automorphisms in PGL2 and evidence for pseudofinite fixed points in finite Morley rank groups.
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An Approximate AKE Principle for Metric Valued Fields
Approximate AKE principle completely describes elementary equivalence for metric valued fields in equicharacteristic 0 via residue field and value group; metric valued difference fields have no model companion.
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On generic and supertight automorphisms
Generic automorphisms of stable groups are supertight, with new results linking them to field automorphisms in PGL2 and evidence for pseudofinite fixed points in finite Morley rank groups.