Jürgen Neukirch
Encyclopedia
Jürgen Neukirch was a German
Germany
Germany , officially the Federal Republic of Germany , is a federal parliamentary republic in Europe. The country consists of 16 states while the capital and largest city is Berlin. Germany covers an area of 357,021 km2 and has a largely temperate seasonal climate...

 mathematician
Mathematician
A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....

 known for his work on algebraic number theory
Algebraic number theory
Algebraic number theory is a major branch of number theory which studies algebraic structures related to algebraic integers. This is generally accomplished by considering a ring of algebraic integers O in an algebraic number field K/Q, and studying their algebraic properties such as factorization,...

.

He got his diploma in mathematics in 1964 in Bonn
Bonn
Bonn is the 19th largest city in Germany. Located in the Cologne/Bonn Region, about 25 kilometres south of Cologne on the river Rhine in the State of North Rhine-Westphalia, it was the capital of West Germany from 1949 to 1990 and the official seat of government of united Germany from 1990 to 1999....

, for his PhD thesis 1965 (advisor: Wolfgang Krull
Wolfgang Krull
Wolfgang Krull was a German mathematician working in the field of commutative algebra.He was born in Baden-Baden, Imperial Germany and died in Bonn, West Germany.- See also :* Krull dimension* Krull topology...

) he was awarded the Felix-Hausdorff-Gedächtnis-Preis and habilitated one year later. From 1967 to 1969 he was guest professor in Kingston, Ontario
Kingston, Ontario
Kingston, Ontario is a Canadian city located in Eastern Ontario where the St. Lawrence River flows out of Lake Ontario. Originally a First Nations settlement called "Katarowki," , growing European exploration in the 17th Century made it an important trading post...

 (Canada) and in Cambridge/Mass. (USA), then professor in Bonn. In 1971 he moved to Regensburg
Regensburg
Regensburg is a city in Bavaria, Germany, located at the confluence of the Danube and Regen rivers, at the northernmost bend in the Danube. To the east lies the Bavarian Forest. Regensburg is the capital of the Bavarian administrative region Upper Palatinate...

 university.

He is known for his work on the embedding problem
Embedding problem
In Galois theory, a branch of mathematics, the embedding problem is a generalization of the inverse Galois problem. Roughly speaking, it asks whether a given Galois extension can be embedded into a Galois extension in such a way that the restriction map between the corresponding Galois groups is...

 in algebraic number theory, the Báyer–Neukirch theorem on special values of L-functions
Special values of L-functions
In mathematics, the study of special values of L-functions is a subfield of number theory devoted to generalising formulae such as the Leibniz formula for pi, namely...

, arithmetic Riemann existence theorems and the Neukirch–Uchida–Pop theorem in birational anabelian geometry
Anabelian geometry
Anabelian geometry is a proposed theory in mathematics, describing the way the algebraic fundamental group G of an algebraic variety V, or some related geometric object, determines how V can be mapped into another geometric object W, under the assumption that G is very far from being an abelian...

.

He wrote three books on class field theory, algebraic number theory, and the cohomology of number fields, respectively.

Among his students were Uwe Jannsen, Peter Schneider and Michael Spieß
Michael Spies
Michael Spies is a retired German football player. He is now a player agent.-External links:...

.

External links

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