ADE: Patterns in Mathematics: 109 (London Mathematical Society Student Texts, Series Number 109) - Softcover

Cameron, Peter J.; Dechant, Pierre-Philippe; He, Yang-Hui; McKay, John

Softcover

ISBN 10: 1009335987 ISBN 13: 9781009335980

Publisher: Cambridge University Press, 2025

Synopsis

The ADE diagrams are ubiquitous in mathematics. This book details their occurrences in many areas and develops the theory.

About this title

About the Authors

Peter J. Cameron is currently a part-time professor at the University of St Andrews. He was chair of the British Combinatorial Committee for nearly thirty years and won the Junior and Senior Whitehead Prizes of the LMS. Cameron has been fascinated by ADE since using it to prove a conjecture of Alan Hoffman.

Pierre-Philippe Dechant is a Curriculum Redefined Lecturer in Mathematics and Data Science at the University of Leeds. He is a Senior Fellow of the Higher Education Academy, a Fellow of the Institute of Physics and a Fellow of the Institute for Mathematics and its Applications.

Yang-Hui He is a Fellow at the London Institute and tutor in mathematics at Merton College, Oxford. He also holds honorary professorships at the Universities of London and Nankai. Yang works on geometry, number theory and string theory, and is a pioneer of AI-assisted mathematics.

John McKay was a British-Canadian Mathematician and Professor Emeritus in the Department of Mathematics and Statistics at Concordia University before his death in 2022. He was elected a Fellow of the Royal Society of Canada in 2000, and in 2003 won the CRM-Fields Prize for Mathematics. His groundbreaking contributions include Moonshine, the ADE correspondence and the McKay conjecture on group representations.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2025
• Language: English
• ISBN 10: 1009335987
• ISBN 13: 9781009335980
• Binding: Paperback
• Number of pages: 196