Martin Bays

Lehren und Verwaltung

• Oberseminar zur Modelltheorie und Gruppen
• Model theory of pseudofinite structures

Papers

• Incidence bounds in positive characteristic via valuations and distality with Jean-François Martin (source); talk (source)
• Definability in the infinitesimal subgroup of a compact Lie group with Kobi Peterzil; published in Confluentes Mathematici; source; slides from Padua (source); notes from Paris
• Projective geometries arising from Elekes-Szabó problems with Emmanuel Breuillard; accepted by Ann. Sci. Ec. Norm. Super.; source; slides from Oxford (source).
• Pseudo-exponential maps, variants, and quasiminimality with Jonathan Kirby; published in Algebra and Number Theory; notes from Manchester; erratum.
• Model Theory of Compact Complex Manifolds with an Automorphism with Martin Hils and Rahim Moosa; notes from Paris; published in the Transactions of the AMS.
• Universal covers of commutative finite Morley rank groups with Bradd Hart and Anand Pillay; notes from Edinburgh; notes from MSRI; notes on Manin kernel example; published in the Journal of the IMJ. Scans of citation [Ser00]; Erratum.
• A Note on Divisible Points of Curves with Philipp Habegger, published in the Transactions of the AMS.
• Excellence and uncountable categoricity of Zilber's exponential fields with Jonathan Kirby (not intended for publication; essentially superseded by PEMVQ).
• Quasiminimal structures and excellence with Bradd Hart, Tapani Hyttinen, Meeri Kesälä and Jonathan Kirby, published in the Bulletin of the London Mathematical Society.
• Some Definability Results in Abstract Kummer Theory with Misha Gavrilovich and Martin Hils; published in International Mathematical Research Notices
• Covers of Multiplicative Groups of Algebraically Closed Fields of Arbitrary Characteristic with Boris Zilber; published in the Bulletin of the London Mathematical Society.
• A Schanuel property for exponentially transcendental powers with Jonathan Kirby and A.J. Wilkie; published in the Bulletin of the London Mathematical Society.

Old Teaching

• Münster:
  • Logik II: Modelltheorie
  • Seminar zur Modelltheorie SoSe 2020: Hrushovski-Amalgamierung
  • Vorlesung über Small Cancellation Theorie
  • Seminar über einfachen Theorien
  • Logik II WS16/17
  • Seminar über Gruppen in o-minimale Strukturen
  • Notes for a course on Geometric Stability Theory (now a chapter in Lectures in Model Theory, Münster Lectures in Mathematics); source.
• McMaster: Lecture notes

Misc

• Miscellaneous notes and talks
• MR reviews
• Other people's theses

Contact

Martin Bays
Institut für Mathematische Logik und Grundlagenforschung
Fachbereich Mathematik und Informatik
Universität Münster
Einsteinstrasse 62
48149 Münster
	

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