Stephen Lichtenbaum

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Stephen Lichtenbaum

Stephen Lichtenbaum (born August 24, 1939 in Brooklyn ) is an American mathematician who deals with algebraic geometry, algebraic number theory and algebraic K theory.

Lichtenbaum studied at Harvard University (bachelor's degree "summa cum laude" 1960), where he received his doctorate in 1964 (Curves over discrete valuation rings, American Journal of Mathematics Vol. 90, 1968, pp. 380-405). He then was a lecturer at Princeton University . He was from 1967 Assistant Professor at Cornell University , where he was Associate Professor in 1969 and Professor in 1973. From 1979 to 1982 he was head of the faculty there. Since 1990 he has been a professor at Brown University , where he headed the faculty from 1994 to 1997. Among other things, he was a visiting researcher at the Institute for Advanced Study (1973, 1984), the University of Paris (VI, XI, VII, XIII), the IHES (1974, 1977, 1982/83, 1987/88, 1997), the MSRI ( 1987), the Isaac Newton Institute (1998, 2002). Since 2003 he has also been an Associate Professor at the University of Paris Chevalaret.

According to him, the light tree guesses (from about 1971) about the relationship of the values of are Dedekind zeta function of number fields at specific locations (negative integers) and algebraic K-theory named and after him and Daniel Quillen these generalized assumptions about the connection between algebraic K-theory to Étaler cohomology (they were partly proven in the 1980s by Robert Thomason , with further advances as a result of the work of Vladimir Voevodsky on algebraic K-theory).

In 1959 he was a Putnam Fellow at Harvard. In 1973/74 he was a Guggenheim Fellow. From 1995 he was co-editor of the Documenta Mathematicae. He is a fellow of the American Mathematical Society .

Web links

References

  1. ^ Lichtenbaum On the value of zeta and L-Functions , Annals of Mathematics, Vol. 96, 1972, pp. 338-360, Values ​​of Zeta functions, Etale Cohomology and algebraic K-theory , in "Algebraic K-Theory II" Lecturenotes in Mathematics Vol. 342, Springer 1973
personal data
SURNAME Lichtenbaum, Stephen
BRIEF DESCRIPTION American mathematician
DATE OF BIRTH August 24, 1939
PLACE OF BIRTH Brooklyn