Lynne is currently Head of Mathematics Solutions at Cambridge Partnership for Education at the University of Cambridge. Previous project leadership roles include Director of Cambridge Mathematics, Director of NRICH and PI on the Government funded A-level project Underground Mathematics, and before that Principal Lecturer and PGCE course leader at two leading UK Universities, Headteacher of a small primary school and a secondary maths teacher.

Lynne was a member of ACME from 2009 to 2013 and again from 2017 to 2020, and sits on the Royal Society Mathematical Futures Board and the Partnership Grants Panel. She is active in various mathematics education communities including as chair of governors of the Cambridge Maths School and trustee of National Numeracy and she chairs the Education workstream for the proto-Academy for the Mathematical Sciences. She was President of the Mathematical Association in 2014/5 and Executive Chair of ISDDE. She is a fellow of the IMA and ISDDE.
Lynne is the author or editor of many books and articles and is well known as an international conference speaker and professional development lead. In 2022 she was awarded an OBE for services to education.