Lawrence C. Washington

Lawrence Clinton Washington (* 1951 in Vermont ) is an American mathematician who deals with number theory.

life and work

Washington studied at Johns Hopkins University , where he received his masters degree in 1971. In 1974 he received his doctorate from Princeton University under Kenkichi Iwasawa ( Class numbers and extensions ${\ displaystyle Z_ {p}}$ , Mathematische Annalen, Volume 214, 1975, p. 177). He was then Assistant Professor at Stanford University and from 1977 at the University of Maryland , where he was Associate Professor in 1981 and Professor in 1986. He was a visiting scientist at IHES (1980/81), at the Max Planck Institute for Mathematics (1984), at the Institute for Advanced Study (1996), at the MSRI (1986/87), in Perugia , China and Brazil.

Lawrence wrote a standard work on circular dividers . He also dealt with p-adic L-functions , number theory of elliptic curves and cryptography , Iwasawa theory , Cohen - Lenstra heuristics, among others .

In 1979, in the Iwasawa theory, together with Bruce Ferrero , he proved a conjecture by Kenkichi Iwasawa that the -invariant of the cyclic -extensions of Abelian algebraic number fields vanishes (Ferrero-Washington theorem). ${\ displaystyle \ mu}$ ${\ displaystyle Z_ {p}}$

From 1979 to 1981 he was a Sloan Research Fellow .

Fonts

Introduction to Cyclotomic Fields , Graduate Texts in Mathematics, Springer, 1982, 2nd edition 1996
with Wade Trappe: Introduction to Cryptography and Coding Theory , Prentice-Hall, 2002, 2nd edition 2005
Elliptic Curves: Number theory and cryptography , CRC Press, 2003, 2nd edition 2008
Galois Cohomology in Cornell, Silverman, Stevens (editors): Modular forms and Fermat's Last Theorem , Springer, 1997

literature

Joseph Oesterlé Travaux de Ferrero et Washington sur le nombre de classes d'idéaux des corps cyclotomiques , Séminaire Bourbaki, Mr. 535, 1978/79

Web links

Homepage

Individual evidence

↑ Among other things, he wrote a work with Allan Adler on the relationship he discovered between higher-dimensional analogues of magic squares and p-adic L-functions, Adler, Washington P-adic L functions and higher dimensional magic cubes , Journal of Number Theory, volume 52, 1995, p. 179.See also Adler Mathematical Intelligencer 1992
↑ Ferrero, Washington The Iwasawa invariant μp vanishes for abelian number fields , Annals of Mathematics, Volume 109, 1979, pp. 377-395. Another evidence comes from won W. Sinnott, Inventiones Mathematicae, 75, 1984, 273.

personal data
SURNAME	Washington, Lawrence C.
ALTERNATIVE NAMES	Washington, Lawrence Clinton (full name)
BRIEF DESCRIPTION	American mathematician
DATE OF BIRTH	1951
PLACE OF BIRTH	Vermont

[1] Among other things, he wrote a work with Allan Adler on the relationship he discovered between higher-dimensional analogues of magic squares and p-adic L-functions, Adler, Washington P-adic L functions and higher dimensional magic cubes , Journal of Number Theory, volume 52, 1995, p. 179.See also Adler Mathematical Intelligencer 1992

[2] Ferrero, Washington The Iwasawa invariant μp vanishes for abelian number fields , Annals of Mathematics, Volume 109, 1979, pp. 377-395. Another evidence comes from won W. Sinnott, Inventiones Mathematicae, 75, 1984, 273.