Freddie Manners

activity

20172026

most citedTrue complexity and iterated Cauchy--Schwarz

2 citations · 2 across the 3 of their papers we have counts for

collaborators

3 papers

math.AG2026

The motivic class of the space of genus $0$ maps to the flag variety

Jim Bryan, Balázs Elek, Freddie Manners +2

Let $Fl_{n + 1}$ be the variety of complete flags in $A^{n + 1}$ and let $Ω_{β}^{2} (Fl_{n + 1})$ be the space of based maps $f:\mathbb{P}^{1}\to \ope…

math.NT2021★ 2 cited

True complexity and iterated Cauchy--Schwarz

Freddie Manners

We prove a polynomial bound in the "true complexity" problem of Gowers and Wolf. The proof uses only repeated applications of the Cauchy--Schwarz inequality, answering negatively a…

math.NT2017

Formulations of the PFR Conjecture over $Z$

Freddie Manners

The polynomial Fre\uıman--Ruzsa conjecture is a fundamental open question in additive combinatorics. However, over the integers (or more generally $R^{d}$ or $Z^{d}$ )…

The motivic class of the space of genus 0 maps to the flag variety

True complexity and iterated Cauchy--Schwarz

Formulations of the PFR Conjecture over Z

The motivic class of the space of genus $0$ maps to the flag variety

Formulations of the PFR Conjecture over $Z$