3 papers
math.LO2026
Some results on NIP groups and their Ellis groups
Atticus Stonestrom
This paper has several parts. We begin by developing a theory of `piecewise (strong) f-genericity' in NIP groups, where we call a definable set piecewise (strong) f-generic if some…
math.LO2024
An arithmetic algebraic regularity lemma
Anand Pillay, Atticus Stonestrom
We give an 'arithmetic regularity lemma' for groups definable in finite fields, analogous to Tao's 'algebraic regularity lemma' for graphs definable in finite fields. More specific…
math.LO2021
Some model theory of
Atticus Stonestrom
'Skolem arithmetic' is the complete theory of the multiplicative monoid . We give a full characterization of the -definable stably embedded set…