Remembering David Buchsbaum
Remembering David Buchsbaum
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纪念大卫·布克斯鲍姆
DOI：
10.1090/noti2410
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发表时间：
2022
影响因子：
--
通讯作者：
Frieden, Gabriel
中科院分区：
文献类型：
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作者：
Eisenbud, David;Weyman, Jerzy M;Buchsbaum, Betty;Buchsbaum, Helen;Buchsbaum Frieden, Susan;Buchsbaum, Marion;Artale, Maria;Boffi, Giandomenico;DeConcini, Corrado;Frieden, Gabriel
1954年，大卫·布克斯鲍姆在塞缪尔·艾伦伯格的指导下在哥伦比亚大学获得博士学位。在芝加哥和普林斯顿做博士后之后，大卫的大部分职业生涯都在布兰代斯大学度过，并致力于该校数学系的建设。1995年当选为美国艺术与科学学院院士。虽然许多博士论文被遗忘或被归入，但大卫论文[Buc55]中的材料仍然是必不可少的知识。它包含的定义和探索阿贝尔范畴，奠定了一般基础，同调代数。它很快就被格罗滕迪克和他的同事们注意到，并被用于代数几何。现在阿贝尔范畴的概念在现代数学的一个广阔领域得到了应用。大卫早期因与莫里斯·奥斯兰德（Maurice Auslander）的合作而闻名，后者曾是他的研究生。沿着塞尔的工作的多重性，他们的工作在交换代数是第一次显示权力的同调代数在该领域。在他们的显着成果是一个公式有关的深度和射影维数和特征的正则局部环方面
David Buchsbaum earned his PhD at Columbia University in 1954 under Samuel Eilenberg. After postdoctoral sojourns in Chicago and Princeton, David spent most of his career at Brandeis University, and was very much engaged in building its mathematics department. He was elected to the American Academy of Arts and Sciences in 1995. Though many PhD theses are forgotten or subsumed, the material in David’s thesis [Buc55] remains essential knowledge. It contained the definition and an exploration of abelian categories, laying a general foundation for homological algebra. It was soon noticed by Grothendieck1 and his colleagues, and employed in algebraic geometry. Now the notion of an abelian category is used in a vast area of modern mathematics. David was famous early for his work with Maurice Auslander, who had been a fellow graduate student. Along with Serre’s work on multiplicities, their work in commutative algebra was the first to show the power of homological algebra in that domain. Among their notable results was a formula relating depth and projective dimension and the characterization of regular local rings in terms of