13 citations · 29 across the 17 of their papers we have counts for
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math.MG2023★ 2 cited
New bounds in the discrete analogue of Minkowski's second theorem
Matthew Tointon
We adapt an argument of Tao and Vu to show that if are the successive minima of an origin-symmetric convex body with respect to some lattice $Λ<\mathbb{R}^…
math.MG2017
The Mahler conjecture in two dimensions via the probabilistic method
Matthew Tointon
The "Mahler volume" is, intuitively speaking, a measure of how "round" a centrally symmetric convex body is. In one direction this intuition is given weight by a result of Santalo,…
math.MG2016
Horofunctions on graphs of linear growth
Matthew Tointon, Ariel Yadin
We prove that a linear growth graph has finitely many horofunctions. This provides a short and simple proof that any finitely generated infinite group of linear growth is virtually…