edgepedia

p-adic and Iwasawa theorists

7 articles

Alexander Ostrowski

Alexander Ostrowski, also known as Alexander Markowitsch Ostrowski, was a Russian-born mathematician (1893 to 1986) who developed valuation theory and Ostrowski's theorem while holding the Basel chair from 1927 to 1958.

Haruzo Hida

Haruzo Hida, born 1952 in Japan, is a number theorist at UCLA who created Hida theory, the study of p-adic analytic families of ordinary modular forms with large Galois representations.

Jean-Marc Fontaine

Jean-Marc Fontaine (1944–2019) was a French mathematician, a founder of p-adic Hodge theory, known for his period rings, the Fontaine–Mazur conjecture, and proving no abelian variety over the rationals has good reduction everywhere.

Jonathan Lubin

Jonathan Lubin (born 1936) is an American mathematician, long at Brown University, known for the Lubin–Tate formal group, which gives explicit abelian extensions of p-adic fields.

Kenkichi Iwasawa

Kenkichi Iwasawa (1917–1998) was a Japanese mathematician who founded Iwasawa theory, the study of class-group growth in infinite towers of number fields, and proved the Iwasawa decomposition of Lie groups.

Kurt Hensel

Kurt Hensel (1861–1941) was a German mathematician and student of Kronecker who became professor at Marburg in 1902, introduced the p-adic numbers in 1897, and proved Hensel's lemma.

Simon B. Kochen

Simon B. Kochen is a mathematician who taught at Cornell and Princeton, known for the Kochen–Specker theorem in quantum mechanics and the Ax–Kochen theorem in number theory.