The second world war saw a major influx of mathematical talent into the areas of cryptanalysis and cryptography. This was particularly true at the UK's Government Codes and Cypher School (GCCS) at Bletchley Park. The success of introducing mathematical thinking into activities previously dominated by linguists is well-studied, but the reciprocal question of how the cryptologic effort affected the field of mathematics has been less investigated. Although their cryptologic achievements are not as celebrated as those of Turing, Tutte and Welchman, Bletchley Park's effort was supplemented by more eminent mathematicians, and those who would achieve eminence and provide leadership and direction for mathematical research in the United Kingdom. Amongst their number were Ian Cassels, Sandy Green, Philip Hall, Max Newman and Henry Whitehead. This paper considers how the experience of these and other mathematicians at Bletchley Park may have informed and influenced the mathematics that was produced in their post-war careers.
翻译:第二次世界大战期间,大量数学人才涌入密码分析与密码学领域,这在英国政府密码与密码学校(GCCS)所在的布莱切利园尤为突出。将数学思维引入此前由语言学家主导的活动所取得的成功已得到充分研究,但密码学工作如何反作用于数学领域这一问题则较少被探讨。尽管其密码学成就并未如图灵、图特和韦尔奇曼那般广为人知,但布莱切利园的密码破译工作得到了众多杰出数学家的补充,其中包括那些后来取得卓越成就并为英国数学研究提供领导与方向的人物。他们中的代表有伊恩·卡塞尔斯、桑迪·格林、菲利普·霍尔、马克斯·纽曼和亨利·怀特黑德。本文探讨了这些及其他数学家们在布莱切利园的经历如何可能影响并塑造了他们战后职业生涯中所产生的数学成果。