Martin Bays

Lehren und Verwaltung

Papers

Density of compressibility and some consequences with Itay Kaplan and Pierre Simon; talk
Elekes-Szabó for groups, and approximate subgroups in weak general position with Jan Dobrowolski and Tingxiang Zou; talk
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uncountable categoricity of Zilber's exponential fields with Jonathan Kirby (not intended for publication; essentially superseded by PEMVQ).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.

The published versions of the above papers are mathematically identical to the latest arxiv versions, except in rare cases (explained in the arxiv version notes) where the arxiv version contains fixes to errors in the published version. The published versions always use the same numbering as the arxiv versions.

My DPhil thesis: Categoricity results for exponential maps of 1-dimensional algebraic groups & Schanuel Conjectures for Powers and the CIT, written at Oxford under the supervision of Boris Zilber.

Old Teaching

Münster:
- Logik II: Modelltheorie
- Seminar SoSe21: Model theory of pseudofinite structures
- Seminar SoSe20: 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

Contact

<m.bays@math.uni-muenster.de>

PGP key; fingerprint ECA6 C781 804E 70A6 35C7 B826 50B0 BB38 B5FB 2CD6

Postal address:

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

#modeltheory on irc.libera.chat

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