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Max Deuring (9 December 1907 – 20 December 1984) was a German
mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematica ...
. He is known for his work in
arithmetic geometry In mathematics, arithmetic geometry is roughly the application of techniques from algebraic geometry to problems in number theory. Arithmetic geometry is centered around Diophantine geometry, the study of rational points of algebraic varieties. ...
, in particular on
elliptic curve In mathematics, an elliptic curve is a smooth, projective, algebraic curve of genus one, on which there is a specified point . An elliptic curve is defined over a field and describes points in , the Cartesian product of with itself. If ...
s in characteristic p. He worked also in analytic number theory. Deuring graduated from the
University of Göttingen The University of Göttingen, officially the Georg August University of Göttingen, (german: Georg-August-Universität Göttingen, known informally as Georgia Augusta) is a public research university in the city of Göttingen, Germany. Founded i ...
in 1930, then began working with
Emmy Noether Amalie Emmy Noether Emmy is the ''Rufname'', the second of two official given names, intended for daily use. Cf. for example the résumé submitted by Noether to Erlangen University in 1907 (Erlangen University archive, ''Promotionsakt Emmy Noeth ...
, who noted his mathematical acumen even as an undergraduate. When she was forced to leave Germany in 1933, she urged that the university offer her position to Deuring. In 1935 he published a report entitled ''Algebren'' ("Algebras"), which established his notability in the world of mathematics. He went on to serve as ''Ordinarius'' at
Marburg Marburg ( or ) is a university town in the German federal state (''Bundesland'') of Hesse, capital of the Marburg-Biedenkopf district (''Landkreis''). The town area spreads along the valley of the river Lahn and has a population of approx ...
and
Hamburg Hamburg (, ; nds, label=Hamburg German, Low Saxon, Hamborg ), officially the Free and Hanseatic City of Hamburg (german: Freie und Hansestadt Hamburg; nds, label=Low Saxon, Friee un Hansestadt Hamborg),. is the List of cities in Germany by popul ...
, then took a position as ''ordentlicher Lehrstuhl'' at Göttingen, where he remained until his retirement. Dick, Auguste. ''Emmy Noether: 1882–1935''. Trans. H. I. Blocher. Boston: Birkhäuser, 1981. . p. 54. Deuring was a fellow of the Leopoldina. His doctoral students include Max Koecher and Hans-Egon Richert.


Selected works

* ''Algebren'', Springer 1935 * ''Sinn und Bedeutung der mathematischen Erkenntnis'', Felix Meiner, Hamburg 1949 * ''Klassenkörper der komplexen Multiplikation'', Teubner 1958 * ''Lectures on the theory of algebraic functions of one variable'', 1973 (from lectures at the Tata Institute,
Mumbai Mumbai (, ; also known as Bombay — the official name until 1995) is the capital city of the Indian state of Maharashtra and the ''de facto'' financial centre of India. According to the United Nations, as of 2018, Mumbai is the secon ...
)


Sources

* Peter Roquette ''Über die algebraisch-zahlentheoretischen Arbeiten von Max Deuring'', Jahresbericht DMV Vol.91, 1989, p. 109 * Martin Kneser ''Max Deuring'', Jahresbericht DMV Vol.89, 1987, p. 135 * Martin Kneser, Martin Eichler ''Das wissenschaftliche Werk von Max Deuring'',
Acta Arithmetica ''Acta Arithmetica'' is a scientific journal of mathematics publishing papers on number theory Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers a ...
Vol.47, 1986, p. 187


See also

*
Deuring–Heilbronn phenomenon In mathematics, the Deuring–Heilbronn phenomenon, discovered by and , states that a counterexample to the generalized Riemann hypothesis for one Dirichlet L-function affects the location of the zeros of other Dirichlet L-functions. See also ...
*
Birch and Swinnerton-Dyer conjecture In mathematics, the Birch and Swinnerton-Dyer conjecture (often called the Birch–Swinnerton-Dyer conjecture) describes the set of rational solutions to equations defining an elliptic curve. It is an open problem in the field of number theory ...
*
Supersingular elliptic curve In algebraic geometry, supersingular elliptic curves form a certain class of elliptic curves over a field of characteristic ''p'' > 0 with unusually large endomorphism rings. Elliptic curves over such fields which are not supersingular ...


References


External links


MacTutor biography

Obituary in ''Acta Arithmetica''
*

1907 births 1984 deaths 20th-century German mathematicians Scientists from Göttingen University of Göttingen alumni University of Göttingen faculty University of Marburg faculty University of Hamburg faculty Algebraic geometers {{Germany-mathematician-stub