Peter Cameron's homepage

Welcome to my St Andrews homepage. Under construction This page is under construction (and probably always will be!)

I am a half-time Professor in the School of Mathematics and Statistics at the University of St Andrews, and an Emeritus Professor of Mathematics at Queen Mary, University of London.

About me

My diary

MathSciNet profile, Google Scholar

Mathematical genealogy, Wikipedia page

CV and publications (PDF)

Some interviews

On this site

Teaching pages: MT5821, Advanced Combinatorics

Talks, publications, conjectures, coauthors, students

Elsewhere

My homepage at QMUL

Papers on arXiv: mathematics, computer science, statistics

Algebra and Combinatorics at St Andrews

British Combinatorial Committee, BCC Conference List

St Andrews seminars: Pure Maths, Algebra/Combinatorics

Lecture notes

Cameron Counts

Walks page, Travel diaries

Mathematical quotes
The Infinite Quest, a short course from the IAI Academy

Mathematics: the next generation (LMS–Gresham lecture)

School of Mathematics and Statistics
University of St Andrews
North Haugh
St Andrews, Fife KY16 9SS
SCOTLAND

Tel.: +44 (0)1334 463769
Fax: +44 (0)1334 46 3748
Email: pjc20(at)st-arthurs(dot)ac(dot)uk
[oops – wrong saint!]

Page revised 12 September 2016

A problem

A zero-one sequence is called universal if every finite zero-one sequence occurs as a (consecutive) subsequence of it.

Let s be the sequence whose nth term is 0 if the nth odd prime is congruent to 1 (mod 4), and to 1 if the nth odd prime is congruent to 3 (mod 4). Is s universal?

Unless I am missing something, this is probably a hard problem; but in view of the theorem of Green and Tao, it might be worth revisiting.

Old problems are kept here.