Author

Anubhab Ghosal

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Open access Jul 2026

On Subsets of Lattice Cubes Avoiding Affine and Spherical Degeneracies

<jats:p> For integers <jats:inline-formula> <jats:alternatives> <jats:tex-math>$$1< k < d-1$$</jats:tex-math> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">...

Anubhab Ghosal, Ritesh Goenka, Peter Keevash · Discrete & Computational... · 0 citations

Preprint Jul 2026

On the largest size of sum-free sets in symmetric regions

A subset $S$ of a group $G$ is said to be sum-free (resp. $\Delta$-free) if there are no solutions to $a+b=c$ (resp. $a+b+c=0$) with $a,b,c\in S$. For a convex region $R\subset\mathbb{R}^d$, let $\sigma(R)$ denote the maximal proportion of the volume of $R$ that a sum-free subset of $R$ can occupy. We prove that $\sigm...

Anubhab Ghosal, Dmitry Tsarev · 0 citations