Tuomas Orponen

activity

20242026

most citedProjections, Furstenberg sets, and the

A B C

sum-product problem

2 citations · 2 across the 4 of their papers we have counts for

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math.CO2026

Visibility problem in the plane

Tuomas Orponen, Alex Rutar

We disprove the visibility conjecture in the plane and prove the sharp upper bound for the almost-sure dimension of visible parts. Precisely, let $K \subset R^{2}$ be a co…

math.CO2025

Asymmetric sum-product theorems for Katz-Tao sets

Tuomas Orponen

I prove two variants of the $A B C$ sum-product theorem for $δ$ -separated sets $A, B, C \subset [0, 1]$ satisfying Katz-Tao spacing conditions. The main novelty is that the cardinality…