Each year since 2008 I have been a tutor at the UKMT National Mathematics Summer School. This is a five-day residential summer school for students aged 15 and 16. (In 2020 and 2021, the summer school is taking place online.)
Undergraduate or postgraduate students who are interested in volunteering at one of these summer schools are welcome to contact me.
It is a nice opportunity to introduce able students to mathematics beyond the school curriculum, and especially how to think like a mathematician. Topics I have taught include inequalities, cyclic quadrilaterals, the pigeonhole principle, and graph theory. In 2019, I was Academic Director of a UKMT Summer School.
During my PhD in Orsay, I participated as a jury member and team leader in the Tournoi Français de Jeunes Mathématicien(ne)s (2012 and 2013) and in the International Tournament of Young Mathematicians (2012). In these competitions, students in their final year of secondary school work in teams of five over a period of several months to solve open-ended problems set by the organisers, and then present their work at a regional, national or international event.