25 citations · 70 across the 21 of their papers we have counts for
5 papers · 1 filter
A group version of stable regularity
G. Conant, A. Pillay, C. Terry
We prove that, given and , there is an integer such that the following holds. Suppose is a finite group and is -stable. Then there is a nor…
Independence in generic incidence structures
Gabriel Conant, Alex Kruckman
We study the theory of existentially closed incidence structures omitting the complete incidence structure , which can also be viewed as existentially closed $K_…
Multiplicative structure in stable expansions of the group of integers
Gabriel Conant
We define two families of expansions of by unary predicates, and prove that their theories are superstable of -rank . The first family consists of expansio…
Definable sets containing productsets in expansions of groups
Uri Andrews, Gabriel Conant, Isaac Goldbring
We consider the question of when sets definable in first-order expansions of groups contain the product of two infinite sets (we refer to this as the "productset property"). We fir…
Stability and sparsity in sets of natural numbers
Gabriel Conant
Given a set , we consider the relationship between stability of the structure and sparsity of the set . We first show that a strong en…