Anand Pillay

activity

20132024

most citedA group version of stable regularity

25 citations · 32 across the 4 of their papers we have counts for

collaborators

5 papers

math.LO2024

An analytic version of stable arithmetic regularity

Gabriel Conant, Anand Pillay

We prove a structure theorem for stable functions on amenable groups, which extends the arithmetic regularity lemma for stable subsets of finite groups. Given a group $G$ , a functi…

math.LO2023

Generalized locally compact models for approximate groups

Krzysztof Krupiński, Anand Pillay

We give a proof of the existence of generalized definable locally compact models for arbitrary approximate subgroups via an application of topological dynamics in model theory. Our…

math.CO2018★ 7 cited

Structure and regularity for subsets of groups with finite VC-dimension

G. Conant, A. Pillay, C. Terry

Suppose $G$ is a finite group and $A \subseteq G$ is such that ${g A : g \in G}$ has VC-dimension strictly less than $k$ . We find algebraically well-structured sets in $G$ which, up t…

math.LO2017★ 25 cited

A group version of stable regularity

G. Conant, A. Pillay, C. Terry

We prove that, given $ε > 0$ and $k \geq 1$ , there is an integer $n$ such that the following holds. Suppose $G$ is a finite group and $A \subseteq G$ is $k$ -stable. Then there is a nor…

math.NT2013

Relative Manin-Mumford for semi-abelian surfaces

Daniel Bertrand, David Masser, Anand Pillay +1

We show that Ribet sections are the only obstruction to the validity of the relative Manin-Mumford conjecture for one dimensional families of semi-abelian surfaces. Applications in…