Donald Coxeter

Donald Coxeter was a renowned Canadian mathematician, known for his work in Geometry and Mathematics, particularly in the fields of Polytopes, Tessellations, and Symmetry. He was a prominent figure in the development of Mathematics in the 20th century, collaborating with notable mathematicians such as John Conway, M.C. Escher, and Buckminster Fuller. Coxeter's work had a significant impact on various fields, including Architecture, Art, and Design, influencing artists like Bridget Riley and Victor Vasarely. His contributions to Mathematics education were also substantial, with his books being widely used in University of Cambridge, Princeton University, and Massachusetts Institute of Technology.

● Early Life and Education

Coxeter was born in London, England, and moved to Canada with his family at a young age, settling in Toronto, Ontario. He developed an interest in Mathematics at an early age, encouraged by his parents and teachers at Toronto University Schools. Coxeter pursued his undergraduate studies at University of Toronto, where he was influenced by notable mathematicians such as William Vallance Douglas Hodge and Louis Mordell. He then moved to University of Cambridge, where he earned his Ph.D. under the supervision of Henry Frederick Baker, a prominent British mathematician.

● Career

Coxeter began his academic career at University of Toronto, where he taught Mathematics and Geometry for over 60 years, becoming a Professor Emeritus in 1988. During his tenure, he supervised numerous students, including Robert Moody, who made significant contributions to Mathematics and Physics. Coxeter also held visiting positions at Princeton University, University of Illinois at Urbana-Champaign, and University of California, Berkeley, collaborating with mathematicians such as Andrew Gleason, George Mackey, and Stephen Smale. His work was also influenced by interactions with scientists like Marcel Grossmann and Hermann Weyl.

● Mathematical Contributions

Coxeter's mathematical contributions were diverse and far-reaching, with significant impacts on Geometry, Group Theory, and Combinatorics. He is known for his work on Polytopes, particularly the Regular Polytopes, and his book "Regular Polytopes" is considered a classic in the field. Coxeter also made important contributions to the study of Tessellations, Symmetry, and M.C. Escher's work, collaborating with Buckminster Fuller on Geodesic Domes. His work on Mathematics and Art has influenced artists like Bridget Riley and Victor Vasarely, and his books have been widely used in Mathematics education at institutions like University of Oxford, Harvard University, and California Institute of Technology.

● Awards and Honors

Coxeter received numerous awards and honors for his contributions to Mathematics, including the Jeffery-Williams Prize from the Canadian Mathematical Society and the Henry Marshall Tory Medal from the Royal Society of Canada. He was also elected a Fellow of the Royal Society and a Member of the National Academy of Sciences. Coxeter's work was recognized by the Mathematical Association of America, which awarded him the Lester R. Ford Award for his contributions to Mathematics education. He also received honorary degrees from University of Waterloo, McGill University, and University of British Columbia.

● Personal Life

Coxeter was known for his love of Music and Poetry, and was an accomplished Pianist and Organist. He was also a talented Artist, and his drawings and paintings were exhibited at the Art Gallery of Ontario and the Royal Ontario Museum. Coxeter was married to Ruth Coxeter, and they had two children, Susan Coxeter and F. Arthur Coxeter. He was a close friend of M.C. Escher and Buckminster Fuller, and his collaborations with them had a significant impact on his work.

● Legacy

Coxeter's legacy extends far beyond his mathematical contributions, with his work influencing Architecture, Art, and Design. His books, such as "Introduction to Geometry" and "Regular Polytopes", are considered classics in the field and continue to be widely used in Mathematics education. Coxeter's collaborations with artists like M.C. Escher and Bridget Riley have had a lasting impact on the development of Mathematics and Art. His work has also influenced scientists like Stephen Hawking and Roger Penrose, and his contributions to Mathematics education have been recognized by institutions like University of Chicago, Stanford University, and Massachusetts Institute of Technology. Category:Canadian mathematicians