The Mathematical Contributions of Serge Lang, Volume 54, Number 4

T his article is the second in a two-part series in memory of Serge Lang, who passed away on September 12, 2005. In the first article, which appeared in the May2006 issueof theNotices , we invited contributions from a number of individuals who knew Serge on a somewhat personal level. For this part, we sought expositions which would describe, with certain technical details as necessary, aspects of Serge’s contribution tomathematical research. To begin understanding the breadth and depth of Serge’s research endeavors,we refer to Volume I of his Collected Papers, where he outlined his mathematical career inanumberofperiods.We list here Lang’s own description of his research, using only a slight paraphrasing of what he wrote (see tableat topofnextpage). For this article, theeditors choosetousethis listasaguide, thoughitshouldbe obvious that we cannot address all facets of Lang’s mathematical research. In addition to research, Lang’s contribution to mathematics includes, as we all know, a large number of books.Howmany booksdid Langwrite? We (the editors) are not sure how to answer that question. Should we count political monographs such as Challenges? How do we count multiple