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Teiji Takagi, the Glossary

Teiji Takagi (高木貞治 Takagi Teiji, April 21, 1875 – February 28, 1960) was a Japanese mathematician, best known for proving the Takagi existence theorem in class field theory.^[1]

34 relations: Algebraic number theory, Blancmange curve, Carl Ludwig Siegel, Class field theory, David Hilbert, Emil Artin, Fields Medal, Göttingen, Gdańsk, George Salmon, German Mathematical Society, Gifu, Gifu Prefecture, Heinrich Martin Weber, Helmut Hasse, Imperial Universities, International Congress of Mathematicians, Japan, Kenjiro Shoda, Mathematical Society of Japan, Mathematician, Mathematics, S.-Y. Kuroda, Shokichi Iyanaga, Sigekatu Kuroda, Strasbourg, Tadashi Nakayama (mathematician), Takagi existence theorem, Tokyo, Type B Cipher Machine, Uniform continuity, University of Tokyo, World War II, Zurich.
19th-century Japanese mathematicians
People from the Empire of Japan

Algebraic number theory

Algebraic number theory is a branch of number theory that uses the techniques of abstract algebra to study the integers, rational numbers, and their generalizations.

See Teiji Takagi and Algebraic number theory

Blancmange curve

In mathematics, the blancmange curve is a self-affine fractal curve constructible by midpoint subdivision.

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Carl Ludwig Siegel

Carl Ludwig Siegel (31 December 1896 – 4 April 1981) was a German mathematician specialising in analytic number theory. Teiji Takagi and Carl Ludwig Siegel are university of Göttingen alumni.

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In mathematics, class field theory (CFT) is the fundamental branch of algebraic number theory whose goal is to describe all the abelian Galois extensions of local and global fields using objects associated to the ground field.

See Teiji Takagi and Class field theory

David Hilbert

David Hilbert (23 January 1862 – 14 February 1943) was a German mathematician and one of the most influential mathematicians of his time.

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Emil Artin

Emil Artin (March 3, 1898 – December 20, 1962) was an Austrian mathematician of Armenian descent. Teiji Takagi and Emil Artin are number theorists.

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Fields Medal

The Fields Medal is a prize awarded to two, three, or four mathematicians under 40 years of age at the International Congress of the International Mathematical Union (IMU), a meeting that takes place every four years.

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Göttingen

Göttingen (Chöttingen) is a university city in Lower Saxony, central Germany, the capital of the eponymous district.

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Gdańsk

Gdańsk is a city on the Baltic coast of northern Poland, and the capital of the Pomeranian Voivodeship.

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George Salmon

George Salmon (25 September 1819 – 22 January 1904) was a distinguished and influential Irish mathematician and Anglican theologian.

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German Mathematical Society

The German Mathematical Society (Deutsche Mathematiker-Vereinigung, DMV) is the main professional society of German mathematicians and represents German mathematics within the European Mathematical Society (EMS) and the International Mathematical Union (IMU).

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Gifu

is a city located in the south-central portion of Gifu Prefecture, Japan, and serves as the prefectural capital.

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Gifu Prefecture

is a prefecture of Japan located in the Chūbu region of Honshu.

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Heinrich Martin Weber

Heinrich Martin Weber (5 March 1842, Heidelberg, Germany – 17 May 1913, Straßburg, Alsace-Lorraine, German Empire, now Strasbourg, France) was a German mathematician.

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Helmut Hasse

Helmut Hasse (25 August 1898 – 26 December 1979) was a German mathematician working in algebraic number theory, known for fundamental contributions to class field theory, the application of ''p''-adic numbers to local class field theory and diophantine geometry (Hasse principle), and to local zeta functions. Teiji Takagi and Helmut Hasse are university of Göttingen alumni.

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Imperial Universities

The were founded by the Empire of Japan between 1886 and 1939, seven in Mainland Japan (now Japan), one in Korea under Japanese rule (now the Republic of Korea) and one in Taiwan under Japanese rule (now Taiwan).

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International Congress of Mathematicians

The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics.

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Japan

Japan is an island country in East Asia, located in the Pacific Ocean off the northeast coast of the Asian mainland.

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Kenjiro Shoda

Kenjiro Shoda (Japanese: 正田建次郎 Shōda Kenjirō; February 25, 1902 – March 20, 1977) was a Japanese mathematician. Teiji Takagi and Kenjiro Shoda are 20th-century Japanese mathematicians, Academic staff of the University of Tokyo and Recipients of the Order of Culture.

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Mathematical Society of Japan

The Mathematical Society of Japan (MSJ, 日本数学会) is a learned society for mathematics in Japan.

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Mathematician

A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems.

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Mathematics

Mathematics is a field of study that discovers and organizes abstract objects, methods, theories and theorems that are developed and proved for the needs of empirical sciences and mathematics itself.

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S.-Y. Kuroda

, also known as S.-Y. Kuroda, was Professor Emeritus and Research Professor of Linguistics at the University of California, San Diego.

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Shokichi Iyanaga

was a Japanese mathematician. Teiji Takagi and Shokichi Iyanaga are 20th-century Japanese mathematicians and Academic staff of the University of Tokyo.

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Sigekatu Kuroda

was a Japanese mathematician who worked in number theory and mathematical logic. Teiji Takagi and Sigekatu Kuroda are 20th-century Japanese mathematicians.

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Strasbourg

Strasbourg (Straßburg) is the prefecture and largest city of the Grand Est region of eastern France, at the border with Germany in the historic region of Alsace.

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Tadashi Nakayama (mathematician)

was a mathematician who made important contributions to representation theory. Teiji Takagi and Tadashi Nakayama (mathematician) are 20th-century Japanese mathematicians.

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Takagi existence theorem

In class field theory, the Takagi existence theorem states that for any number field K there is a one-to-one inclusion reversing correspondence between the finite abelian extensions of K (in a fixed algebraic closure of K) and the generalized ideal class groups defined via a modulus of K. It is called an existence theorem because a main burden of the proof is to show the existence of enough abelian extensions of K.

See Teiji Takagi and Takagi existence theorem

Tokyo

Tokyo (東京), officially the Tokyo Metropolis (label), is the capital of Japan and one of the most populous cities in the world, with a population of over 14 million residents as of 2023 and the second-most-populated capital in the world.

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Type B Cipher Machine

In the history of cryptography, the "System 97 Typewriter for European Characters" (九七式欧文印字機 kyūnana-shiki ōbun injiki) or "Type B Cipher Machine", codenamed Purple by the United States, was an encryption machine used by the Japanese Foreign Office from February 1939 to the end of World War II.

See Teiji Takagi and Type B Cipher Machine

References

[1] https://en.wikipedia.org/wiki/Teiji_Takagi

Also known as Takagi Teiji.