Schwermer, Joachim
Overview
Works:  40 works in 145 publications in 4 languages and 2,533 library holdings 

Genres:  Conference papers and proceedings History Biography 
Roles:  Author, Editor, Other, Contributor 
Classifications:  QA3, 512.7 
Publication Timeline
.
Most widely held works by
Joachim Schwermer
Arbeitstagung Bonn, 1984 : proceedings of the meeting held by the MaxPlanckInstitut für Mathematik, Bonn, June 1522, 1984 by
Friedrich Hirzebruch(
Book
)
21 editions published in 1985 in 3 languages and held by 360 WorldCat member libraries worldwide
21 editions published in 1985 in 3 languages and held by 360 WorldCat member libraries worldwide
Cohomology of arithmetic groups and automorphic forms : proceedings of a conference held in Luminy/Marseille, France, May
2227, 1989 by
J.P Labesse(
Book
)
17 editions published in 1990 in English and held by 348 WorldCat member libraries worldwide
Cohomology of arithmetic groups serves as a tool in studying possible relations between the theory of automorphic forms and the arithmetic of algebraic varieties resp. the geometry of locally symmetric spaces. These proceedings will serve as a guide to this still rapidly developing area of mathematics. Besides two survey articles, the contributions are original research papers
17 editions published in 1990 in English and held by 348 WorldCat member libraries worldwide
Cohomology of arithmetic groups serves as a tool in studying possible relations between the theory of automorphic forms and the arithmetic of algebraic varieties resp. the geometry of locally symmetric spaces. These proceedings will serve as a guide to this still rapidly developing area of mathematics. Besides two survey articles, the contributions are original research papers
Kohomologie arithmetisch definierter Gruppen und Eisensteinreihen by
Joachim Schwermer(
Book
)
18 editions published between 1983 and 2008 in 3 languages and held by 330 WorldCat member libraries worldwide
18 editions published between 1983 and 2008 in 3 languages and held by 330 WorldCat member libraries worldwide
The shaping of arithmetic : after C.F. Gauss's Disquisitiones Arithmeticae by
Catherine Goldstein(
Book
)
14 editions published between 2006 and 2011 in English and held by 185 WorldCat member libraries worldwide
The cultural historian, Theodore Merz called it the great book with seven seals, the mathematician Leopold Kronecker, "the book of all books": already one century after their publication, C.F. Gauss's "Disquisitiones Arithmeticae" (1801) had acquired an almost mythical reputation. It had served throughout the XIXth century and beyond as an ideal of exposition in matters of notation, problems and methods; as a model of organisation and theory building; and of course as a source of mathematical inspiration. Various readings of the "Disquisitiones Arithmeticae" have left their mark on developments as different as Galois's theory of algebraic equations, Lucas's primality tests, and Dedekind's theory of ideals. The present volume revisits successive periods in the reception of the Disquisitiones: it studies which parts were taken up and when, which themes were further explored. It also focuses on how specific mathematicians reacted to Gauss's book: Dirichlet and Hermite, Kummer and Genocchi, Dedekind and Zolotarev, Dickson and Emmy Noether, among others. An astounding variety of research programmes in the theory of numbers can be traced back to it.; The 19 authors  mathematicians, historians, philosophers  who have collaborated on this volume contribute indepth studies on the various aspects of the bicentennial voyage of this mathematical text through history, and the way that the number theory we know today came into being
14 editions published between 2006 and 2011 in English and held by 185 WorldCat member libraries worldwide
The cultural historian, Theodore Merz called it the great book with seven seals, the mathematician Leopold Kronecker, "the book of all books": already one century after their publication, C.F. Gauss's "Disquisitiones Arithmeticae" (1801) had acquired an almost mythical reputation. It had served throughout the XIXth century and beyond as an ideal of exposition in matters of notation, problems and methods; as a model of organisation and theory building; and of course as a source of mathematical inspiration. Various readings of the "Disquisitiones Arithmeticae" have left their mark on developments as different as Galois's theory of algebraic equations, Lucas's primality tests, and Dedekind's theory of ideals. The present volume revisits successive periods in the reception of the Disquisitiones: it studies which parts were taken up and when, which themes were further explored. It also focuses on how specific mathematicians reacted to Gauss's book: Dirichlet and Hermite, Kummer and Genocchi, Dedekind and Zolotarev, Dickson and Emmy Noether, among others. An astounding variety of research programmes in the theory of numbers can be traced back to it.; The 19 authors  mathematicians, historians, philosophers  who have collaborated on this volume contribute indepth studies on the various aspects of the bicentennial voyage of this mathematical text through history, and the way that the number theory we know today came into being
Algebra by
Jens Carsten Jantzen(
Book
)
15 editions published between 2005 and 2014 in German and held by 131 WorldCat member libraries worldwide
15 editions published between 2005 and 2014 in German and held by 131 WorldCat member libraries worldwide
Emil Artin and beyond : class field theory and Lfunctions by
Della Dumbaugh(
Book
)
8 editions published in 2015 in English and held by 103 WorldCat member libraries worldwide
This book explores the development of number theory, and class field theory in particular, as it passed through the hands of Emil Artin, Claude Chevalley and Robert Langlands in the middle of the twentieth century. Claude Chevalley's presence in Artin's 1931 Hamburg lectures on class field theory serves as the starting point for this volume. From there, it is traced how class field theory advanced in the 1930s and how Artin's contributions influenced other mathematicians at the time and in subsequent years. Given the difficult political climate and his forced emigration as it were, the question of how Artin created a life in America within the existing institutional framework, and especially of how he continued his education of and close connection with graduate students, is considered. In particular, Artin's collaboration in algebraic number theory with George Whaples and his student Margaret Matchett's thesis work "On the zetafunction for ideles" in the 1940s are investigated. A (first) study of the influence of Artin on present day work on a nonabelian class field theory finishes the book. The volume consists of individual essays by the authors and two contributors, James Cogdell and Robert Langlands, and contains relevant archival material. Among these, the letter from Chevalley to Helmut Hasse in 1935 is included, where he introduces the notion of ideles and explores their significance, along with the previously unpublished thesis by Matchett and the seminal letter of Langlands to André Weil of 1967 where he lays out his ideas regarding a nonabelian class field theory. Taken together, these chapters offer a view of both the life of Artin in the 1930s and 1940s and the development of class field theory at that time. They also provide insight into the transmission of mathematical ideas, the careful steps required to preserve a life in mathematics at a difficult moment in history, and the interplay between mathematics and politics (in more ways than one)
8 editions published in 2015 in English and held by 103 WorldCat member libraries worldwide
This book explores the development of number theory, and class field theory in particular, as it passed through the hands of Emil Artin, Claude Chevalley and Robert Langlands in the middle of the twentieth century. Claude Chevalley's presence in Artin's 1931 Hamburg lectures on class field theory serves as the starting point for this volume. From there, it is traced how class field theory advanced in the 1930s and how Artin's contributions influenced other mathematicians at the time and in subsequent years. Given the difficult political climate and his forced emigration as it were, the question of how Artin created a life in America within the existing institutional framework, and especially of how he continued his education of and close connection with graduate students, is considered. In particular, Artin's collaboration in algebraic number theory with George Whaples and his student Margaret Matchett's thesis work "On the zetafunction for ideles" in the 1940s are investigated. A (first) study of the influence of Artin on present day work on a nonabelian class field theory finishes the book. The volume consists of individual essays by the authors and two contributors, James Cogdell and Robert Langlands, and contains relevant archival material. Among these, the letter from Chevalley to Helmut Hasse in 1935 is included, where he introduces the notion of ideles and explores their significance, along with the previously unpublished thesis by Matchett and the seminal letter of Langlands to André Weil of 1967 where he lays out his ideas regarding a nonabelian class field theory. Taken together, these chapters offer a view of both the life of Artin in the 1930s and 1940s and the development of class field theory at that time. They also provide insight into the transmission of mathematical ideas, the careful steps required to preserve a life in mathematics at a difficult moment in history, and the interplay between mathematics and politics (in more ways than one)
Eisensteinreihen und die Kohomologie von Kongruenzuntergruppen von Sl[subscript n](Z) by
Joachim Schwermer(
Book
)
10 editions published in 1977 in German and held by 69 WorldCat member libraries worldwide
10 editions published in 1977 in German and held by 69 WorldCat member libraries worldwide
Die experimentelle Willenspsychologie Kurt Lewins by
Josef Schwermer(
Book
)
1 edition published in 1966 in German and held by 4 WorldCat member libraries worldwide
1 edition published in 1966 in German and held by 4 WorldCat member libraries worldwide
Arithmetik und Geometrie : vier Vorlesungen by
Horst Knörrer(
Book
)
3 editions published between 1986 and 2014 in German and held by 3 WorldCat member libraries worldwide
Die Aufsätze des vorliegenden Bandes sind aus den öffentlichen Antrittsvorlesungen der Verfasser anläßlich ihrer Habilitation an den Universitäten Bonn und Saarbrücken hervor gegangen. Neben dieser Art der Entstehung ist es allen Beiträgen ge meinsam, daß in ihnen versucht wird, das Zusammenwirken unter schiedlicher mathematischer Ansätze und Disziplinen bei der Lösung alter und neuer mathematischer Probleme hervorzuheben. Darin spie gelt sich eine Erfahrung der wesentlichen Einheit der Mathematik wi der, die den Autoren zuerst in den Vorlesungen und Arbeiten ihrer akademischen Lehrer vermittelt worden ist. In seinem Artikel erörtert ClausGünther Schmidt zunächst die wesentlichen, seit der ur sprünglichen Untersuchung der Permatschen Vermutung entwickelten zahlentheoretischen Ansätze und Teillösungen und danach neuere Er gebnisse, die auf dem Hintergrund der algebraischgeometrischen In terpretation des Problems erzielt worden sind. Der Beitrag von Joachim Schwermer handelt von der Entstehungsgeschichte des klassischen quadratischen Rezipro zitätsgesetzes und beschreibt die wichtige Rolle, die es für die Heraus bildung der Zahlentheorie gespielt hat. Dabei werden die Entwick lungslinien nachgezeichnet, die über das Artinsehe Reziprozitätsgesetz bis hin zu den heutigen Problemen der Theorie der LFunktionen und der nichtabelschen Klassenkörpertheorie geführt haben. Der Aufsatz von Peter Slodowy erläutert nach dem Vorbild von Felix Kleins Ikosaederbuch den Zu sammenhang der Gleichungen fünften Grades mit der Geometrie des Ikosaeders und den hypergeometrischen Differentialgleichungen
3 editions published between 1986 and 2014 in German and held by 3 WorldCat member libraries worldwide
Die Aufsätze des vorliegenden Bandes sind aus den öffentlichen Antrittsvorlesungen der Verfasser anläßlich ihrer Habilitation an den Universitäten Bonn und Saarbrücken hervor gegangen. Neben dieser Art der Entstehung ist es allen Beiträgen ge meinsam, daß in ihnen versucht wird, das Zusammenwirken unter schiedlicher mathematischer Ansätze und Disziplinen bei der Lösung alter und neuer mathematischer Probleme hervorzuheben. Darin spie gelt sich eine Erfahrung der wesentlichen Einheit der Mathematik wi der, die den Autoren zuerst in den Vorlesungen und Arbeiten ihrer akademischen Lehrer vermittelt worden ist. In seinem Artikel erörtert ClausGünther Schmidt zunächst die wesentlichen, seit der ur sprünglichen Untersuchung der Permatschen Vermutung entwickelten zahlentheoretischen Ansätze und Teillösungen und danach neuere Er gebnisse, die auf dem Hintergrund der algebraischgeometrischen In terpretation des Problems erzielt worden sind. Der Beitrag von Joachim Schwermer handelt von der Entstehungsgeschichte des klassischen quadratischen Rezipro zitätsgesetzes und beschreibt die wichtige Rolle, die es für die Heraus bildung der Zahlentheorie gespielt hat. Dabei werden die Entwick lungslinien nachgezeichnet, die über das Artinsehe Reziprozitätsgesetz bis hin zu den heutigen Problemen der Theorie der LFunktionen und der nichtabelschen Klassenkörpertheorie geführt haben. Der Aufsatz von Peter Slodowy erläutert nach dem Vorbild von Felix Kleins Ikosaederbuch den Zu sammenhang der Gleichungen fünften Grades mit der Geometrie des Ikosaeders und den hypergeometrischen Differentialgleichungen
On the concept of level for subgroups of SL 2 over arithmetic rings by
F Grunewald(
Book
)
1 edition published in 1996 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 1996 in English and held by 3 WorldCat member libraries worldwide
An arithmetic formula for a topological invariant of Siegel modular varieties by Jürgen Rohlfs(
Book
)
1 edition published in 1996 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 1996 in English and held by 3 WorldCat member libraries worldwide
Automorphic forms and representation theory 05.03.  11.03.2000 by
Joachim Schwermer(
Book
)
1 edition published in 2000 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 2000 in English and held by 3 WorldCat member libraries worldwide
A decomposition of spaces of automorphic forms, and some rationality properties of automorphic cohomology classes for GLn by
Jens Franke(
Book
)
2 editions published in 1991 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1991 in English and held by 2 WorldCat member libraries worldwide
Kohomologie arithmetisch definierter Gruppen und Eisensteinreihen by
Joachim Schwermer(
Book
)
1 edition published in 1983 in German and held by 2 WorldCat member libraries worldwide
1 edition published in 1983 in German and held by 2 WorldCat member libraries worldwide
On Euler products and residual Eisenstein cohomology classes for Siegel modular varieties by
Joachim Schwermer(
Book
)
2 editions published in 1993 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1993 in English and held by 2 WorldCat member libraries worldwide
On the cuspidal cohomology of Sarithmetic subgroups of reductive groups over number fields by
Armand Borel(
Book
)
2 editions published in 1995 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1995 in English and held by 2 WorldCat member libraries worldwide
Räumliche Anschauung und Minima positiv definiter quadratischer Formen : zur Habilitation von Hermann Minkowski 1887 in Bonn by
Joachim Schwermer(
Book
)
2 editions published in 1990 in German and held by 2 WorldCat member libraries worldwide
2 editions published in 1990 in German and held by 2 WorldCat member libraries worldwide
Intersection numbers of special cycles by J Rohlfs(
Book
)
2 editions published in 1992 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1992 in English and held by 2 WorldCat member libraries worldwide
Cohomology of arithmetic groups and automorphic forms : Conference : Papers(
Book
)
2 editions published in 1990 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1990 in English and held by 2 WorldCat member libraries worldwide
Emil Artin and Beyond? Class Field Theory and $L$Functions by
Della Dumbaugh(
)
1 edition published in 2015 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 2015 in English and held by 0 WorldCat member libraries worldwide
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Related Identities
 Goldstein, Catherine (Mathematician) Author Editor
 Schappacher, Norbert Editor
 Labesse, J.P (JeanPierre) 1943 Other Author Editor
 Suter, S. (Silke) 1943 Other Editor
 Hirzebruch, Friedrich Other Author Editor
 Jantzen, Jens Carsten Author
 Dumbaugh, Della Author Editor
 SpringerLink (Service en ligne)
 Artin, Emil 18981962
 Cogdell, James W. 1953 Collector
Useful Links
Associated Subjects
Algebra Algebraic topology Arithmetical algebraic geometry Arithmetic groups Artin, Emil, Austria Automorphic forms Class field theory Disquisitiones arithmeticae (Gauss, Carl Friedrich) Eisenstein series Geometry Geometry, Algebraic Group theory Homology theory Lewin, Kurt, Lie groups Mathematicians Mathematics Number theory
Alternative Names
Joachim Schwermer deutscher Mathematiker
Joachim Schwermer Duits wiskundige
Joachim Schwermer German mathematician and historian of mathematics
Joachim Schwermer mathématicien allemand
Schwermer, J.
Schwermer, J. (Joachim)
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