1 citations · 1 across the 8 of their papers we have counts for
9 papers
Model theory, differential algebra and functional transcendence
Amador Martin-Pizarro
The goal of this text is to exhibit some of the ideas and methods from geometric model theory, translated to the particular context of differentially closed fields, exhibiting in a…
Forking independence in differentially closed fields of positive characteristic
Piotr Kowalski, Omar León Sánchez, Amador Martin-Pizarro
We provide a differential-algebraic description of forking independence in the stable theory DCF of differentially closed fields of characteristic with -many commu…
Supersimplicity and arithmetic progressions
Amador Martin-Pizarro, Daniel Palacín
The main motivation for this article is to explore the connections between the existence of certain combinatorial patterns (as in van der Corputs's theorem on arithmetic progressio…
An exposition on the supersimplicity of certain expansions of the additive group of the integers
Amador Martin-Pizarro, Daniel Palacín
In this short note, we present a self-contained exposition of the supersimplicity of certain expansions of the additive group of the integers, such as adding a generic predicate (d…
Non-forking independence in stable theories
Amador Martin-Pizarro
We observe that a simple condition suffices to describes non-forking independence over models in a stable theory. Under mild assumptions, this description can be extended to non-fo…
Noetherian theories
Amador Martin-Pizarro, Martin Ziegler
A first-order theory is Noetherian with respect to the collection of formulae if every definable set is a Boolean combination of instances of formulae in $\mathcal{F}…
Stability, corners, and other 2-dimensional shapes
Amador Martin-Pizarro, Daniel Palacin, Julia Wolf
We introduce a relaxation of stability, called almost sure stability, which is insensitive to perturbations by subsets of Loeb measure in a non-standard finite group. We show t…
Simplicity of the automorphism group of fields with operators
Thomas Blossier, Zoé Chatzidakis, Charlotte Hardouin +1
We adapt a proof of Lascar in order to show the simplicity of the group of automorphisms fixing pointwise all non-generic elements for a class of uncountable models of suitable the…
A model-theoretic note on the Freiman-Ruzsa theorem
Amador Martin-Pizarro, Daniel Palacin, Julia Wolf
A non-quantitative version of the Freiman-Ruzsa theorem is obtained for finite stable sets with small tripling in arbitrary groups, as well as for (finite) weakly normal subsets in…