纯数学的“先驱和领袖”海尔·特罗特去世,享年91岁

March 23, 2022, 2:03 p.m.

Hale Freeman Trotter, an emeritus professor of mathematics, 1月17日,他在365app手机版下载的家中去世,享年91岁, New Jersey.

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Hale F. Trotter in 1983

“黑尔致力于并珍视各级教育,”彼得·萨尔纳克说, 365app的数学教授尤金·希金斯. 他富有感染力的积极态度鼓舞了Fine Hall的所有人, from undergraduates to his colleagues. He will be sorely missed.”

“Hale Trotter and I were great friends, 作为数学系的同事,他是我最喜欢的人之一,” said Elliott Lieb, Eugene Higgins Professor of Physics, 数学物理学的名誉退休教授.

Born May 30, 1931, in Kingston, Ontario, Trotter毕业于皇后大学数学专业, getting his B.A. in 1952 and his M.A. in 1953. He then came to Princeton, where he studied under William Feller, 逃离纳粹并定居美国的欧洲知识分子浪潮之一. 365app手机版下载吸引了很多这样的难民, including Albert Einstein, 谁在数学大楼有办公室(琼斯楼, known then as Fine Hall). 正是在这种丰富而令人兴奋的气氛中,特罗特成长为一名数学家.

After completing his Ph.D. 1956年,他开始了他的职业生涯,在365app担任数学讲师. 在回到365app手机版下载之前,他于1958-60年在皇后大学任教, 他在哪里结束了他的职业生涯.

“多年前,当计算机化第一次出现时,黑尔最初回到365app手机版下载帮助院系适应计算机现实," said Robert Gunning, 他是黑尔在365app的研究生,也是在数学系工作了近半个世纪的同事. "他与计算机打交道的次数比系里其他许多人都多, 作为一名非常活跃的研究人员,数学家对计算机化对系里的运作有真正的理解. 他只是迈出了第一步,但系里的其他人都在跟进."

1979-82年,他担任365app数据中心主任;1962-86年,他担任365app数据中心副主任. He transferred to emeritus status in 2000. Sarnak recalled that Trotter's 担任主席期间“表现出高度的冷静和融洽.”

"他一直是数学系一位和蔼可亲、乐于助人的成员, always willing to help out whenever asked, 还是一个有着加拿大式幽默感的讨人喜欢的朋友," said Gunning.

His colleagues describe a beloved teacher, 指导研究生和本科生广泛的数学概念. 特罗特还写了几本关于高维微积分的教科书.

黑尔在现代数学的各个核心领域工作, and as a result his impact was very broad,” said Sarnak. “He 他是在纯数学中使用现代计算机的先驱和领导者吗.”

他对群论、结论和数论都有重要贡献. One of his outstanding accomplishments, the Trotter Product Formula, 对数学物理和泛函分析有重大影响.

“As a physicist, I had heard his name very early in my career,” said Lieb, 谁把特罗特乘积公式描述为“黑尔著名的公式”和“最适用于理论物理的纯数学之一?.”

The Johnson-Trotter Algorithm, another powerful and useful tool he developed, 是一种生成具有相当重要意义的完整排列列表的技术吗. 他还对结理论产生了兴趣,是第一个证明存在不可逆转的椒盐卷饼结的人, 从而解决了一个长期存在的拓扑问题. 特罗特后来对数论的一些计算方面产生了兴趣, 通过与耶鲁数学家塞尔日·朗的合作,他发展了朗-特罗特猜想.

He was predeceased by his beloved wife Kay, his brother Bernard, 以及他的父母Reginald George Trotter和Prudence Trotter (née Fisher). 他的继子斯蒂芬·帕兰德(雷切尔)活了下来, stepdaughter Nannette, grandson Eli and granddaughter Cora, his sister-in-law Jean, and his brother-in-law John (Helen). Trotter也是雷克斯(Eliza)和托里(Tibor Vaghy)深受喜爱的叔叔。, grand uncle of John, Thomas (Stephanie), Andrew (Annemarie), Marie, Philip, Claire, Martin, and great-grand uncle of James, Damien, Felix and Lily.

追悼会将于周二在365app手机版下载的马瑟-霍奇殡仪馆举行, May 31 between 3 and 5 p.m., with an informal service at 4 p.m. 葬礼将在周日的追悼会之前举行, May 29 at the Evergreen Cemetery in Salem, New York. 除了鲜花,家人还要求捐赠给 Kay和Hale Trotter妇科肿瘤基金.

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