James Joseph Sylvester and the Development of Mathematics

帕沙尔博士正在继续研究詹姆斯·约瑟夫·西尔维斯特（1814-1897）的传记。西尔维斯特是19世纪数学界的重要人物之一。作为英国不变量理论学派的主要发展者，他将英国重新推向了国际数学竞争的高潮。作为巴尔的摩约翰霍普金斯大学的第一位数学教授，他把研究水平的数学带到了美国。在这笔资助下，帕沙尔博士正在进行两个独立的项目，旨在进一步详细阐明西尔维斯特在数学史上的地位。首先，她继续和保罗·沃尔夫森一起研究不变量理论的历史。他们专注于从1869年戈登证明有限定理到1893年希尔伯特完全推广该定理的这段时间，然后追踪希尔伯特的思想在随后的三十年中对该领域的影响。其次，她正在完成一卷西尔维斯特书信选集，并附有历史和数学评论。这两个项目将填补由于PI先前对西尔维斯特的研究而出现的空白，并将使她能够完成对西尔维斯特的生活，工作和时代的传记研究。

Dr. Parshall is continuing her research on a biography of James Joseph Sylvester (1814-1897). Sylvester was one of the major figures of 19th century mathematics. As a key developer of the British school of invariant theory, he thrust Great Britain back into the thick of international mathematical competition. As the first professor of mathematics at the Johns Hopkins University in Baltimore, he brought research- level mathematics to the United States. Under this grant, Dr. Parshall is undertaking two separate projects designed to detail and clarify further Sylvester's place in the history of mathematics. First, she is continuing her work with Paul Wolfson on the history of invariant theory. They are focusing on the period from Gordan's proof of the finiteness theorem in 1869 through Hilbert's complete generalization of it in 1893, and then tracing the impact of Hilbert's ideas on the area during the ensuing three decades. Second, she is completing a volume of selected Sylvester correspondence with historical and mathematical commentary. These two projects will serve to fill in the gaps which emerged as a result of the PI's prior research on Sylvester and will allow her to complete her biographical study of Sylvester's life, work and times.