Luka Milićević

activity

20212023

collaborators

4 papers

math.CO2023

A collection of open problems in celebration of Imre Leader's 60th birthday

Rahil Baber, Natalie Behague, Asier Calbet +10

One of the great pleasures of working with Imre Leader is to experience his infectious delight on encountering a compelling combinatorial problem. This collection of open problems…

math.CO2023

Approximate quadratic varieties

Luka Milićević

A classical result in additive combinatorics, which is a combination of Balog-Szemerédi-Gowers theorem and a variant of Freiman's theorem due to Ruzsa, says that if a subset $A$ of…

math.CO2022

Quantitative inverse theorem for Gowers uniformity norms $U^{5}$ and $U^{6}$ in $F_{2}^{n}$

Luka Milićević

We prove quantitative bounds for the inverse theorem for Gowers uniformity norms $U^{5}$ and $U^{6}$ in $F_{2}^{n}$ . The proof starts from an earlier partial res…

math.CO2021

Approximately Symmetric Forms Far From Being Exactly Symmetric

Luka Milićević

Let $V$ be a finite-dimensional vector space over $F_{p}$ . We say that a multilinear form $α : V^{k} \to F_{p}$ in $k$ variables is $d$ -approximately symmetric if t…

A collection of open problems in celebration of Imre Leader's 60th birthday

Approximate quadratic varieties

Quantitative inverse theorem for Gowers uniformity norms U5 and U6 in F2n​

Approximately Symmetric Forms Far From Being Exactly Symmetric

Quantitative inverse theorem for Gowers uniformity norms $U^{5}$ and $U^{6}$ in $F_{2}^{n}$