Joachim Schwermer (26 May 1950,

Kulmbach Kulmbach () is the capital of the district of Kulmbach in Bavaria in Germany. The town is famous for Plassenburg Castle, which houses the largest tin soldier museum in the world, and for its sausages, or ''Bratwürste''. Geography Location Ku ...

) is a German mathematician, specializing in number theory. Joachim Schwermer

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), University-preparatory school in Bonn-Bad Godesberg, Germany, which includes boarders. It is named for Saint Aloysius Gonzaga. Highly ranked academically, it is considered one of the m ...

Bad Godesberg Bad Godesberg ( ksh, Bad Jodesbersch) is a borough ('' Stadtbezirk'') of Bonn, southern North Rhine-Westphalia, Germany. From 1949 to 1999, while Bonn was the capital of West Germany, most foreign embassies were in Bad Godesberg. Some buildings ar ...

and then studied mathematics at the

University of Bonn The Rhenish Friedrich Wilhelm University of Bonn (german: Rheinische Friedrich-Wilhelms-Universität Bonn) is a public research university located in Bonn, North Rhine-Westphalia, Germany. It was founded in its present form as the ( en, Rhine U ...

. After graduating in 1974 with his ''

Diplom A ''Diplom'' (, from grc, δίπλωμα ''diploma'') 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 ...

'', he received in 1977 his ''Promotion'' (Ph.D.) underi

Günter Harder Günter Harder (born 14 March 1938 in Ratzeburg) is a German mathematician, specializing in arithmetic geometry and number theory. Education and career Harder studied mathematics and physics in Hamburg und Göttingen. Simultaneously with the St ...

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 many European countries. The candidate fulfills a university's set criteria of excellence in research, teaching and further education, usually including a ...

'' from the

. From 1986 he was a professor at the

Catholic University of Eichstätt-Ingolstadt The Katholische Universität Eichstätt-Ingolstadt (KU) is a Roman Catholic research university in Eichstätt and Ingolstadt, Bavaria, Germany. Compared to other German universities it is a rather small institution with 4,800 students in 2019; n ...

, then at the

University of Düsseldorf A university () is an institution of higher (or tertiary) education and research which awards academic degrees in several academic disciplines. Universities typically offer both undergraduate and postgraduate programs. In the United States, the ...

, and finally in the 2000s at the

University of Vienna The University of Vienna (german: Universität Wien) is a public research university located in Vienna, Austria. It was founded by Duke Rudolph IV in 1365 and is the oldest university in the German-speaking world. With its long and rich histor ...

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

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

. In 1987 he was awarded the Gay-Lussac-Humboldt-Prize. 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 German mathematician and professor at Königsberg, Zürich and Göttingen. He created and developed the geometry of numbers and used geometrical methods to solve problems in number t ...

, and

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

. He is now a professor at the University of Vienna as well as the scientific director at the Erwin Schrödinger International Institute for Mathematical Physics. In June 2016, the

Max Planck Institute for Mathematics The Max Planck Institute for Mathematics (german: Max-Planck-Institut für Mathematik, MPIM) is a prestigious research institute located in Bonn, Germany. It is named in honor of the German physicist Max Planck and forms part of the Max Planck S ...

held a Conference on the Cohomology of Arithmetic Groups on the occasion of Joachim Schwermer's 66th birthday.

Selected publications

* with

Della Dumbaugh Della Jeanne Dumbaugh (also published as Della Dumbaugh Fenster) is an American mathematician and history of mathematics, historian of mathematics, focusing on the history of algebra and number theory. She is a professor of mathematics at the Un ...

, ''

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 current ...

, 2015, * with

Jens Carsten Jantzen Jens Carsten Jantzen (born 18 October 1948, in Störtewerkerkoog, Nordfriesland) is a mathematician working on representation theory and algebraic groups, who introduced the Jantzen filtration, the Jantzen sum formula, and translation funct ...

: ''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 : Catherine Goldstein (born July 5, 1958 in Paris) is a French number theorist and historian of mathematics who works as a director of research at the (IMJ). She was president of L'association femmes et mathématiques in 1991. Education and ca ...

and Norbert Schappacher: ''The Shaping of Arithmetic after C. F. Gauss's

Disquisitiones Arithmeticae The (Latin for "Arithmetical Investigations") is a textbook of number theory written in Latin by Carl Friedrich Gauss in 1798 when Gauss was 21 and first published in 1801 when he was 24. It is notable for having had a revolutionary impact on th ...

'', 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 Oxford University from 1966 to 1969, and then at Warwick University, obtaining his Ph.D ...

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 Horst Knörrer (born 31 July 1953, in Bayreuth) is a German mathematician, who studies algebraic geometry and mathematical physics. Knörrer studied from 1971 at University of Regensburg and University of Erlangen-Nuremberg and received a doctor ...

(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