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Serge Lang (; May 19, 1927 – September 12, 2005) was a French-born American mathematician. He is known for his work in number theory and for his mathematics textbooks, including the influential ''Algebra''. He was a member of the Bourbaki group. Lang was born in Paris in 1927, and moved with his family to California as a teenager, where he graduated in 1943 from Beverly Hills High School. He subsequently graduated from the California Institute of Technology in 1946, and received a doctorate from Princeton University in 1951. He held faculty positions at the University of Chicago and Columbia University (from 1955, leaving in 1971 in a dispute). At the time of his death he was professor emeritus of mathematics at Yale University. ==Mathematical work== Lang studied under Emil Artin at Princeton University, writing his thesis on quasi-algebraic closure. Lang then worked on the geometric analogues of class field theory and diophantine geometry. Later he moved into diophantine approximation and transcendental number theory, proving the Schneider–Lang theorem. A break in research while he was involved in trying to meet 1960s student activism halfway caused him (by his own description) difficulties in picking up the threads afterwards. He wrote on modular forms and modular units, the idea of a 'distribution' on a profinite group, and value distribution theory. He made a number of conjectures in diophantine geometry: Mordell–Lang conjecture, Bombieri–Lang conjecture, Lang's integral point conjecture, Lang–Trotter conjecture, Lang conjecture on Gamma values, Lang conjecture on analytically hyperbolic varieties. He introduced the Lang map and the Lang–Steinberg theorem (cf. Lang's theorem) in algebraic groups. He introduced the Katz–Lang finiteness theorem. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Serge Lang」の詳細全文を読む スポンサード リンク
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