3 citations · 15 across the 35 of their papers we have counts for
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Spherical sets avoiding orthonormal bases
Dmitrii Zakharov
We show that there exists an absolute constant such that for all , any measurable set of density at least contains pairwise orthogona…
A Sharp Ramsey Theorem for Ordered Hypergraph Matchings
Lisa Sauermann, Dmitrii Zakharov
We prove essentially sharp bounds for Ramsey numbers of ordered hypergraph matchings, inroduced recently by Dudek, Grytczuk, and Ruciński. Namely, for any and ,…
Essentially tight bounds for rainbow cycles in proper edge-colourings
Noga Alon, Matija Bucić, Lisa Sauermann +2
An edge-coloured graph is said to be rainbow if no colour appears more than once. Extremal problems involving rainbow objects have been a focus of much research over the last decad…
A new upper bound for the Heilbronn triangle problem
Alex Cohen, Cosmin Pohoata, Dmitrii Zakharov
For sufficiently large , we show that in every configuration of points chosen inside the unit square there exists a triangle of area less than . This improv…
On the Erdős--Ginzburg--Ziv Problem in large dimension
Lisa Sauermann, Dmitrii Zakharov
The Erdős--Ginzburg--Ziv Problem is a classical extremal problem in discrete geometry. Given and , the problem asks about the smallest number such that among any poi…