Martin Bays

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All published works

Action	Title	Year	Authors
+ PDF Chat	An asymmetric version of Elekes-Szab\'o via group actions	2024	Martin Bays Tingxiang Zou
+	Density of compressible types and some consequences	2024	Martin Bays Itay Kaplan Pierre Simon
+ PDF Chat	ON LARGE EXTERNALLY DEFINABLE SETS IN NIP	2023	Martin Bays Omer Ben-Neria Itay Kaplan Pierre Simon
+ PDF Chat	Incidence bounds in positive characteristic via valuations and distality	2023	Martin Bays J. N. Martin
+	On large externally definable sets in NIP	2022	Martin Bays Omer Ben-Neria Itay Kaplan Pierre Simon
+	Elekes-Szabó for collinearity on cubic surfaces	2022	Martin Bays Jan Dobrowolski Tingxiang Zou
+	Elekes-Szabó for groups, and approximate subgroups in weak general position	2021	Martin Bays Jan Dobrowolski Tingxiang Zou
+ PDF Chat	Projective geometries arising from Elekes-Szabó problems	2021	Martin Bays Emmanuel Breuillard
+	Incidence bounds in positive characteristic via valuations and distality	2021	Martin Bays Jean‐François Martin
+	Density of compressible types and some consequences	2021	Martin Bays Itay Kaplan Pierre Simon
+ PDF Chat	Definability in the group of infinitesimals of a compact Lie group	2020	Martin Bays Ya’acov Peterzil
+ PDF Chat	Pseudo-exponential maps, variants, and quasiminimality	2018	Martin Bays Jonathan Kirby
+	Projective geometries arising from Elekes-Szab\'o problems	2018	Martin Bays Emmanuel Breuillard
+ PDF Chat	UNIVERSAL COVERS OF COMMUTATIVE FINITE MORLEY RANK GROUPS	2018	Martin Bays Bradd Hart Anand Pillay
+	Geometric stability theory	2018	Martin Bays
+	Model theory of compact complex manifolds with an automorphism	2016	Martin Bays Martin Hils Rahim Moosa
+	Some pseudo-analytic functions on commutative algebraic groups	2015	Martin Bays Jonathan Kirby
+	A note on divisible points of curves	2014	Martin Bays Philipp Habegger
+	Universal covers of commutative finite Morley rank groups	2014	Martin Bays Bradd Hart Anand Pillay
+	Universal covers of commutative finite Morley rank groups	2014	Martin Bays Bradd Hart Anand Pillay
+ PDF Chat	Quasiminimal structures and excellence	2013	Martin Bays Bradd Hart Tapani Hyttinen Meeri Kesälä Jonathan Kirby
+ PDF Chat	Some Definability Results in Abstract Kummer Theory	2013	Martin Bays Misha Gavrilovich Martin Hils
+	Excellence and uncountable categoricity of Zilber's exponential fields	2013	Martin Bays Jonathan Kirby
+	Book review: the philosophy of mathematical practice	2012	Martin Bays
+ PDF Chat	Covers of multiplicative groups of algebraically closed fields of arbitrary characteristic	2011	Martin Bays Boris Zilber
+ PDF Chat	A Schanuel property for exponentially transcendental powers	2010	Martin Bays Jonathan Kirby A. J. Wilkie

Common Coauthors

Coauthor	Papers Together
Jonathan Kirby	5
Bradd Hart	4
Itay Kaplan	4
Pierre Simon	4
Tingxiang Zou	3
Anand Pillay	3
Martin Hils	2
Jan Dobrowolski	2
Emmanuel Breuillard	2
Omer Ben-Neria	2
Misha Gavrilovich	1
Rahim Moosa	1
Jean‐François Martin	1
Boris Zilber	1
Meeri Kesälä	1
Ya’acov Peterzil	1
Philipp Habegger	1
Tapani Hyttinen	1
J. N. Martin	1
A. J. Wilkie	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Meromorphic groups	2003	Anand Pillay Thomas Scanlon	4
+ PDF Chat	Covers of multiplicative groups of algebraically closed fields of arbitrary characteristic	2011	Martin Bays Boris Zilber	4
+	A Note on Generic Types	2006	Martin Ziegler	4
+ PDF Chat	Some Definability Results in Abstract Kummer Theory	2013	Martin Bays Misha Gavrilovich Martin Hils	4
+ PDF Chat	COVERS OF THE MULTIPLICATIVE GROUP OF AN ALGEBRAICALLY CLOSED FIELD OF CHARACTERISTIC ZERO	2006	Boris Zilber	4
+ PDF Chat	Quasiminimal structures and excellence	2013	Martin Bays Bradd Hart Tapani Hyttinen Meeri Kesälä Jonathan Kirby	4
+ PDF Chat	Les groupes 𝜔-stables de rang fini	1985	Daniel Lascar	3
+	A categoricity theorem for quasi-minimal excellent classes	2005	Boris Zilber	3
+ PDF Chat	A semi-algebraic version of Zarankiewicz's problem	2017	Jacob Fox János Pach Adam Sheffer Andrew Suk Joshua Zahl	3
+	The model theory of compact complex spaces	2017	Rahim Moosa	3
+	Projective Planes in Algebraically Closed Fields	1991	David M. Evans Ehud Hrushovski	3
+ PDF Chat	On quasiminimal excellent classes	2010	Jonathan Kirby	3
+ PDF Chat	Exponential algebraicity in exponential fields	2010	Jonathan Kirby	3
+	An exposition of OTOP	1987	Bradd Hart	3
+ PDF Chat	Approximate Subgroups of Linear Groups	2011	Emmanuel Breuillard Ben Green Terence Tao	3
+	Externally definable sets and dependent pairs II	2015	Artem Chernikov Pierre Simon	3
+ PDF Chat	SEMIABELIAN VARIETIES OVER SEPARABLY CLOSED FIELDS, MAXIMAL DIVISIBLE SUBGROUPS, AND EXACT SEQUENCES	2014	Franck Benoist Élisabeth Bouscaren Anand Pillay	3
+	Galois descent in Galois theories	2010	Daniel Bertrand	3
+	Geometric Stability Theory	1996	Anand Pillay	2
+ PDF Chat	Model completeness results for expansions of the ordered field of real numbers by restricted Pfaffian functions and the exponential function	1996	Andrew O.M. Wilkie	2
+	Model theory of compact complex manifolds with an automorphism	2016	Martin Bays Martin Hils Rahim Moosa	2
+	Stable group theory and approximate subgroups	2011	Ehud Hrushovski	2
+	Projective geometries arising from Elekes-Szab\'o problems	2018	Martin Bays Emmanuel Breuillard	2
+	Tame Topology and O-minimal Structures	1998	L. P. D. van den Dries	2
+	Excellence and uncountable categoricity of Zilber's exponential fields	2013	Martin Bays Jonathan Kirby	2
+	On Schanuel's Conjectures	1971	James Ax	2
+ PDF Chat	Type decomposition in NIP theories	2019	Pierre Simon	2
+	Model theory of algebraically closed fields	2006	Anand Pillay	2
+	EXPONENTIAL SUMS EQUATIONS AND THE SCHANUEL CONJECTURE	2002	Boris Zilber	2
+ PDF Chat	On uniform definability of types over finite sets for NIP formulas	2020	Shlomo Eshel Itay Kaplan	2
+	Pseudo-exponentiation on algebraically closed fields of characteristic zero	2004	Boris Zilber	2
+	Deficient points on extensions of abelian varieties by Gm	1987	Olivier Jacquinot Kenneth A. Ribet	2
+	On Pseudo-Finite Dimensions	2013	Ehud Hrushovski	2
+	A Mordell-Weil theorem for abelian varieties over fields generated by torsion points	2005	Michael Larsen	2
+	Canonical forms for definable subsets of algebraically closed and real closed valued fields	1995	Jan E. Holly	2
+	On Lascar rank and Morley rank of definable groups in differentially closed fields	2002	Anand Pillay Wai Yan Pong	2
+	On the Number of Countable Models of A Countable Superstable Theory	1973	A. H. Lachlan	2
+	Morphisms of projective spaces over rings	2004	Claude-Alain Faure	2
+	Nonstandard Meromorphic Groups	2005	Thomas Scanlon	2
+ PDF Chat	Dependent first order theories, continued	2009	Saharon Shelah	2
+	A remark on transitivity of Galois action on the set of uniquely divisible abelian extensions in [graphic]$${\rm Ext}^1(E({\overline {{\mathbb {Q}}}}),\Lambda)$$	2007	Misha Gavrilovich	2
+	How to find groups? (and how to use them in Erdős geometry?)	2012	György Elekes Endre Szabó	2
+	Generic structures and simple theories	1998	Zoé Chatzidakis Anthony L. Pillay	2
+	Kummer theory on extensions of abelian varieties by tori	1979	Kenneth A. Ribet	2
+	On the elliptic curve analogue of the sum-product problem	2008	Igor E. Shparlinski	2
+	Universal covers of commutative finite Morley rank groups	2014	Martin Bays Bradd Hart Anand Pillay	2
+	Model theory of difference fields	1999	Zoé Chatzidakis Ehud Hrushovski	2
+	A remark on Zilber's pseudoexponentiation	2006	David Marker	2
+	A model-theoretic generalization of the Elekes-Szab\'o theorem	2018	Artem Chernikov Sergei Starchenko	2
+ PDF Chat	Generic stability, regularity, and quasiminimality	2011	Anand Pillay Predrag Tanović	2