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University of Massachusetts Amherst

Mathematics and Statistics Department Faculty Publication Series

2006

Reduction theory

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Robert Macpherson And Arithmetic Groups, Pe Gunnells Jan 2006

Robert Macpherson And Arithmetic Groups, Pe Gunnells

Mathematics and Statistics Department Faculty Publication Series

We survey contributions of Robert MacPherson to the theory of arithmetic groups. There are two main areas we discuss: (i) explicit reduction theory for Siegel modular threefolds, and (ii) constructions of compactifications of locally symmetric spaces. The former is joint work with Mark McConnell, the latter with Lizhen Ji.