3 problems

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Ambrus–Hsu–Peng–Yan conjecture on the layer number of integer grids
Let $[n]^d=\\{1,\ldots,n\\}^d$ be the $d$ -dimensional integer grid, and let $\tau(X)$ denote the number of iterations in the convex-hull peeling process required to delete a finite…
Conjectureopenconvexity discrete-geometry integer-gridsarXiv posted 3 days ago
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Density conjecture for isosceles right triangles in lattice points
Isosceles-right-triangle conjecture. If
Conjectureopenadditive-combinatorics integer-grids lattice-pointsarXiv posted 3 days ago
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Ron Graham's density conjecture for lattice-point squares
Ron Graham's conjecture. If
Conjectureopenadditive-combinatorics integer-grids lattice-pointsarXiv posted 3 days ago

Ambrus–Hsu–Peng–Yan conjecture on the layer number of integer grids