Joachim Schwermer (26 May 1950,

Kulmbach Kulmbach () is the capital of the district of Kulmbach in Bavaria in Germany. The town, once a stronghold of the Principality of Bayreuth, is renowned for its University of Life Sciences, a branch of the University of Bayreuth, the massive Plasse ...

) is a German mathematician, specializing in number theory.

Education

Schwermer received his ''

Abitur ''Abitur'' (), often shortened colloquially to ''Abi'', is a qualification granted at the end of secondary education in Germany. It is conferred on students who pass their final exams at the end of ISCED 3, usually after twelve or thirteen year ...

'' in 1969 at

Aloisiuskolleg The Aloisiuskolleg is a co-educational, Jesuit (Catholic church, Catholic), University-preparatory school in Bonn-Bad Godesberg, Germany, which includes boarding school, boarders. It is named for Saint Aloysius Gonzaga. Highly ranked academically ...

Bad Godesberg Bad Godesberg () is a borough () of Bonn, southern North Rhine-Westphalia, Germany. From 1949 to 1999, while Bonn was the capital of the Federal Republic of Germany, most foreign embassies were in Bad Godesberg. Some buildings are still used as br ...

and then studied mathematics at the

University of Bonn The University of Bonn, officially the Rhenish Friedrich Wilhelm University of Bonn (), is a public research university in Bonn, North Rhine-Westphalia, Germany. It was founded in its present form as the () on 18 October 1818 by Frederick Willi ...

. After graduating in 1974 with his ''

Diplom A ''Diplom'' (, from ) is an academic degree in the German-speaking countries Germany, Austria, and Switzerland and a similarly named degree in some other European countries including Albania, Bulgaria, Belarus, Bosnia and Herzegovina, Croatia ...

'', he received in 1977 his ''Promotion'' (Ph.D.) underi Günter Harder with thesis ''Eisensteinreihen und die Kohomologie von Kongruenzuntergruppen von

SL_n(\mathbb)

''. In 1982 he received his ''

Habilitation Habilitation is the highest university degree, or the procedure by which it is achieved, in Germany, France, Italy, Poland and some other European and non-English-speaking countries. The candidate fulfills a university's set criteria of excelle ...

'' from the

Career

From 1986 he was a professor at the

Catholic University of Eichstätt-Ingolstadt The Katholische Universität Eichstätt-Ingolstadt (KU) is a Catholic research university in Eichstätt and Ingolstadt, Bavaria, Germany. It is the only Catholic university in Germany. Compared to other German universities it is a rather small ...

, then at the

University of Düsseldorf A university () is an institution of tertiary education and research which awards academic degrees in several academic disciplines. ''University'' is derived from the Latin phrase , which roughly means "community of teachers and scholars". Univ ...

,See the author addresses in
On the concept of level for subgroups of SL₂ over arithmetic rings
' (May 1998) and finally in the 2000s at the

University of Vienna The University of Vienna (, ) is a public university, public research university in Vienna, Austria. Founded by Rudolf IV, Duke of Austria, Duke Rudolph IV in 1365, it is the oldest university in the German-speaking world and among the largest ...

. During the academic year 1980–1981 Schwermer was a visiting scholar at the

Institute for Advanced Study The Institute for Advanced Study (IAS) is an independent center for theoretical research and intellectual inquiry located in Princeton, New Jersey. It has served as the academic home of internationally preeminent scholars, including Albert Ein ...

. He is the scientific director at the

Erwin Schrödinger International Institute for Mathematical Physics Erwin may refer to: People Given name * Erwin Chargaff (1905–2002), Austrian biochemist * Erwin Chemerinsky (born 1953), American legal scholar * Erwin Dold (1919–2012), German concentration camp commandant in World War 2 * Erwin Hauer (1926� ...

Research

Schwermer's research deals with algebraic groups in number theory, arithmetic geometry, Lie groups, and L-functions. He has written essays on the history of mathematics, for example, about

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 ...

Hermann Minkowski Hermann Minkowski (22 June 1864 – 12 January 1909) was a mathematician and professor at the University of Königsberg, the University of Zürich, and the University of Göttingen, described variously as German, Polish, Lithuanian-German, o ...

, and

Emil Artin Emil Artin (; March 3, 1898 – December 20, 1962) was an Austrians, Austrian mathematician of Armenians, Armenian descent. Artin was one of the leading mathematicians of the twentieth century. He is best known for his work on algebraic number t ...

Awards and honors

In 1987 he was awarded the Gay-Lussac-Humboldt-Prize.

Selected publications

* with Della Dumbaugh, ''

and Beyond – Class Field Theory and L-Functions'', Heritage of European Mathematics,

European Mathematical Society The European Mathematical Society (EMS) is a European organization dedicated to the development of mathematics in Europe. Its members are different mathematical societies in Europe, academic institutions and individual mathematicians. The curren ...

, 2015, * with

Jens Carsten Jantzen Jens Carsten Jantzen (born 1948) is a German mathematician and professor emeritus at Aarhus University working on representation theory and algebraic groups. He introduced the Jantzen filtration and translation functors. Early life and education ...

: ''Algebra'', Springer, 2006, , * ''Kohomologie arithmetisch definierter Gruppen und Eisensteinreihen'', Springer, Lectures Notes in Mathematics Bd.988, 1983, , * as editor with Jean-Pierre Labesse: ''Cohomology of arithmetic groups and automorphic forms'', Springer, 1990, Lecture Notes in Mathematics (Konferenz Luminy/Marseille 1989), * as editor with Catherine Goldstein and Norbert Schappacher: ''The Shaping of Arithmetic after C. F. Gauss's

Disquisitiones Arithmeticae (Latin for ''Arithmetical Investigations'') is a textbook on number theory written in Latin by Carl Friedrich Gauss in 1798, when Gauss was 21, and published in 1801, when he was 24. It had a revolutionary impact on number theory by making the f ...

'', Springer 2007. (containing Schwermer's essay ''Reduction theory of quadratic forms: towards räumliche Anschauung in Minkowski's Early Work '', , and his essay, with Della Fenster
''Composition of Quadratic Forms: An Algebraic Perspective''
) *''Minkowski, Hensel, and Hasse: On The Beginnings of the Local-Global Principle'', in

Jeremy Gray Jeremy John Gray (born 25 April 1947) is an English mathematician primarily interested in the history of mathematics. Biography Gray studied mathematics at the University of Oxford from 1966 to 1969, and then at Warwick University, obtaining h ...

Karen Parshall Karen Hunger Parshall (born 1955, Virginia; ''née'' Karen Virginia Hunger) is an American historian of mathematics. She is the Commonwealth Professor of History and Mathematics at the University of Virginia with a joint appointment in the Corcora ...

: ''Episodes in the history of modern algebra (1800-1950)'', American Mathematical Society 2007 *''Über Reziprozitätsgesetze in der Zahlentheorie'', in Horst Knörrer (ed.): ''Arithmetik und Geometrie'', Mathematische Miniaturen, vol. 3, Birkhäuser Verlag 1986, ,

External links

*
Homepage at the University of Vienna

References

{{DEFAULTSORT:Schwermer, Joachim 20th-century German mathematicians 21st-century German mathematicians German historians of mathematics University of Bonn alumni Academic staff of Heinrich Heine University Düsseldorf Academic staff of the University of Vienna Institute for Advanced Study visiting scholars 1950 births People from Kulmbach Living people Academic staff of the Catholic University of Eichstätt-Ingolstadt