Ribet, Kenneth
Overview
Works:  40 works in 160 publications in 3 languages and 1,396 library holdings 

Genres:  Conference papers and proceedings Educational films Nonfiction films Lectures Documentary television programs Documentary films Interviews Textbooks 
Roles:  Editor, Author, Other, htt, Contributor, 958 
Classifications:  QA242.5, 516.35 
Publication Timeline
.
Most widely held works by
Kenneth Ribet
Galois groups over Q : proceedings of a workshop held March 2327, 1987 by
Y Ihara(
Book
)
16 editions published in 1989 in English and Multiple languages and held by 362 WorldCat member libraries worldwide
This volume is the offspring of a weeklong workshop on "Galois groups over Q and related topics," which was held at the Mathematical Sciences Research Institute during the week March 2327, 1987. The organizing committee consisted of Kenneth Ribet (chairman), Yasutaka Ihara, and JeanPierre Serre. The conference focused on three principal themes: 1. Extensions of Q with finite simple Galois groups. 2. Galois actions on fundamental groups, nilpotent extensions of Q arising from Fermat curves, and the interplay between Gauss sums and cyclotomic units. 3. Representations of Gal(Q/Q) with values in GL(2)j deformations and connections with modular forms. Here is a summary of the conference program: " G. Anderson: "Gauss sums, circular units and the simplex" " G. Anderson and Y. Ihara: "Galois actions on 11"1 (" ") and higher circular units" " D. Blasius: "Maass forms and Galois representations" " P. Deligne: "Galois action on 1I"1(P{0, 1, oo}) and Hodge analogue" " W. Feit: "Some Galois groups over number fields" " Y. Ihara: "Arithmetic aspect of Galois actions on 1I"1(P  {O, 1, oo})"Survey talk " U. Jannsen: "Galois cohomology of iadic representations" " B. Matzat:  "Rationality criteria for Galois extensions"  "How to construct polynomials with Galois group Mll over Q" " B. Mazur: "Deforming GL(2) Galois representations" " K. Ribet: "Lowering the level of modular representations of Gal(Q/ Q)" " JP. Serre:  Introductory Lecture  "Degree 2 modular representations of Gal(Q/Q)" " J
16 editions published in 1989 in English and Multiple languages and held by 362 WorldCat member libraries worldwide
This volume is the offspring of a weeklong workshop on "Galois groups over Q and related topics," which was held at the Mathematical Sciences Research Institute during the week March 2327, 1987. The organizing committee consisted of Kenneth Ribet (chairman), Yasutaka Ihara, and JeanPierre Serre. The conference focused on three principal themes: 1. Extensions of Q with finite simple Galois groups. 2. Galois actions on fundamental groups, nilpotent extensions of Q arising from Fermat curves, and the interplay between Gauss sums and cyclotomic units. 3. Representations of Gal(Q/Q) with values in GL(2)j deformations and connections with modular forms. Here is a summary of the conference program: " G. Anderson: "Gauss sums, circular units and the simplex" " G. Anderson and Y. Ihara: "Galois actions on 11"1 (" ") and higher circular units" " D. Blasius: "Maass forms and Galois representations" " P. Deligne: "Galois action on 1I"1(P{0, 1, oo}) and Hodge analogue" " W. Feit: "Some Galois groups over number fields" " Y. Ihara: "Arithmetic aspect of Galois actions on 1I"1(P  {O, 1, oo})"Survey talk " U. Jannsen: "Galois cohomology of iadic representations" " B. Matzat:  "Rationality criteria for Galois extensions"  "How to construct polynomials with Galois group Mll over Q" " B. Mazur: "Deforming GL(2) Galois representations" " K. Ribet: "Lowering the level of modular representations of Gal(Q/ Q)" " JP. Serre:  Introductory Lecture  "Degree 2 modular representations of Gal(Q/Q)" " J
Current trends in arithmetical algebraic geometry : proceedings of the AMSIMSSIAM joint summer research conference held
August 1824, 1985 by
AMSIMSSIAM Joint Summer Research Conference in the Mathematical Sciences on Current Trends in Arithmetical Algebraic Geometry(
Book
)
22 editions published between 1987 and 2012 in English and Multiple languages and held by 338 WorldCat member libraries worldwide
22 editions published between 1987 and 2012 in English and Multiple languages and held by 338 WorldCat member libraries worldwide
Computational arithmetic geometry : AMS Special Session on Computational Arithmetic Geometry, April 2930, 2006, San Francisco
State University, San Francisco, CA by
AMS Special Session on Computational Arithmetic Geometry(
Book
)
17 editions published between 2008 and 2012 in English and held by 238 WorldCat member libraries worldwide
17 editions published between 2008 and 2012 in English and held by 238 WorldCat member libraries worldwide
The Grothendieck Festschrift : a collection of articles written in honor of the 60th birthday of Alexander Grothendieck by
P Cartier(
Book
)
28 editions published between 1990 and 2009 in English and French and held by 80 WorldCat member libraries worldwide
This threevolume work contains articles collected on the occasion of Alexander Grothendieck's sixtieth birthday and originally published in 1990. The articles were offered as a tribute to one of the world's greatest living mathematicians. Many of the groundbreaking contributions in these volumes contain material that is now considered foundational to the subject. Topics addressed by these topnotch contributors match the breadth of Grothendieck's own interests, including: functional analysis, algebraic geometry, algebraic topology, number theory, representation theory, Ktheory, category theo
28 editions published between 1990 and 2009 in English and French and held by 80 WorldCat member libraries worldwide
This threevolume work contains articles collected on the occasion of Alexander Grothendieck's sixtieth birthday and originally published in 1990. The articles were offered as a tribute to one of the world's greatest living mathematicians. Many of the groundbreaking contributions in these volumes contain material that is now considered foundational to the subject. Topics addressed by these topnotch contributors match the breadth of Grothendieck's own interests, including: functional analysis, algebraic geometry, algebraic topology, number theory, representation theory, Ktheory, category theo
Modular curves and abelian varieties by
J. E Cremona(
)
3 editions published in 2004 in English and held by 76 WorldCat member libraries worldwide
This book presents lectures from a conference on "Modular Curves and Abelian Varieties'' at the Centre de Recerca Matemtica (Bellaterra, Barcelona). The articles in this volume present the latest achievements in this extremely active field and will be of interest both to specialists and to students and researchers. Many contributions focus on generalizations of the ShimuraTaniyama conjecture to varieties such as elliptic Qcurves and Abelian varieties of GL_2type. The book also includes several key articles in the subject that do not correspond to conference lectures
3 editions published in 2004 in English and held by 76 WorldCat member libraries worldwide
This book presents lectures from a conference on "Modular Curves and Abelian Varieties'' at the Centre de Recerca Matemtica (Bellaterra, Barcelona). The articles in this volume present the latest achievements in this extremely active field and will be of interest both to specialists and to students and researchers. Many contributions focus on generalizations of the ShimuraTaniyama conjecture to varieties such as elliptic Qcurves and Abelian varieties of GL_2type. The book also includes several key articles in the subject that do not correspond to conference lectures
Modular elliptic curves and Fermat's last theorem by
Kenneth Ribet(
Visual
)
10 editions published between 1993 and 2008 in English and held by 60 WorldCat member libraries worldwide
Ribet gives two lectures about his proof of the Taniyama Conjecture, one of the crucial links to Fermat's last theorem
10 editions published between 1993 and 2008 in English and held by 60 WorldCat member libraries worldwide
Ribet gives two lectures about his proof of the Taniyama Conjecture, one of the crucial links to Fermat's last theorem
Number theory, analysis and geometry : in memory of Serge Lang by
D Goldfeld(
)
10 editions published in 2012 in English and held by 47 WorldCat member libraries worldwide
Serge Lang was an iconic figure in mathematics, both for his own important work and for the indelible impact he left on the field of mathematics, on his students, ¡and on his colleagues. Over the course of his career, Lang traversed a tremendous amount of mathematical ground. As he moved from subject to subject, he found analogies that led to important questions in such areas as number theory, arithmetic geometry and the theory of negatively curved spaces. Lang's conjectures will keep many mathematicians occupied far into the future. In the spirit of Lang's vast contribution to mathematics, this memorial volume contains articles by prominent mathematicians in a variety of areas, namely number theory, analysis and geometry, representing Lang's own breadth of interests.¡A special introduction by John Tate includes a brief and engaging account of Serge Lang's life. Contributors to the volume: D. Abramovich A. Agashe D. Bertrand E. Brenner A. Buium G. Chinta A. Constantin J. Dodziuk M. van Frankenhuijsen W. Goldring B.H. Gross P.E. Gunnells P. Ingram J. Jorgenson A. Karlsson N.M. Katz M. Kim H. Kisilevsky D.Y. Kleinbock B. Kolev J. Kramer S. Lang J. Lubin G.A. Margulis J. McGowan P. Michel M.R. Murty V.K. Murty M. Nakamaye C. O'Neil J.A. Parson P. Perry A.M. von Pippich F. Pop D. Ramakrishnan K.A. ¡Ribet D.E. Rohrlich J.H. Silverman A. Sinton W.A. Stein L. Szpiro J. Tate T.J. Tucker M.F. Vignéras P. Vojta M. Waldschmidt
10 editions published in 2012 in English and held by 47 WorldCat member libraries worldwide
Serge Lang was an iconic figure in mathematics, both for his own important work and for the indelible impact he left on the field of mathematics, on his students, ¡and on his colleagues. Over the course of his career, Lang traversed a tremendous amount of mathematical ground. As he moved from subject to subject, he found analogies that led to important questions in such areas as number theory, arithmetic geometry and the theory of negatively curved spaces. Lang's conjectures will keep many mathematicians occupied far into the future. In the spirit of Lang's vast contribution to mathematics, this memorial volume contains articles by prominent mathematicians in a variety of areas, namely number theory, analysis and geometry, representing Lang's own breadth of interests.¡A special introduction by John Tate includes a brief and engaging account of Serge Lang's life. Contributors to the volume: D. Abramovich A. Agashe D. Bertrand E. Brenner A. Buium G. Chinta A. Constantin J. Dodziuk M. van Frankenhuijsen W. Goldring B.H. Gross P.E. Gunnells P. Ingram J. Jorgenson A. Karlsson N.M. Katz M. Kim H. Kisilevsky D.Y. Kleinbock B. Kolev J. Kramer S. Lang J. Lubin G.A. Margulis J. McGowan P. Michel M.R. Murty V.K. Murty M. Nakamaye C. O'Neil J.A. Parson P. Perry A.M. von Pippich F. Pop D. Ramakrishnan K.A. ¡Ribet D.E. Rohrlich J.H. Silverman A. Sinton W.A. Stein L. Szpiro J. Tate T.J. Tucker M.F. Vignéras P. Vojta M. Waldschmidt
Arithmetic theory of elliptic curves : lectures given at the 3rd session of the Centro internazionale matematico estivo (C.I.M.E.),
held in Cetraro, Italy, July 1219, 1997 by
J Coates(
)
7 editions published between 1999 and 2006 in English and held by 43 WorldCat member libraries worldwide
This volume contains the expanded versions of the lectures given by the authors at the C.I.M.E. instructional conference held in Cetraro, Italy, from July 12 to 19, 1997. The papers collected here are broad surveys of the current research in the arithmetic of elliptic curves, and also contain several new results which cannot be found elsewhere in the literature. Owing to clarity and elegance of exposition, and to the background material explicitly included in the text or quoted in the references, the volume is well suited to research students as well as to senior mathematicians
7 editions published between 1999 and 2006 in English and held by 43 WorldCat member libraries worldwide
This volume contains the expanded versions of the lectures given by the authors at the C.I.M.E. instructional conference held in Cetraro, Italy, from July 12 to 19, 1997. The papers collected here are broad surveys of the current research in the arithmetic of elliptic curves, and also contain several new results which cannot be found elsewhere in the literature. Owing to clarity and elegance of exposition, and to the background material explicitly included in the text or quoted in the references, the volume is well suited to research students as well as to senior mathematicians
Fonctions L padiques et théorie d'Iwasawa : notes de Philippe Satgé d'aprés un cours de Kenneth Ribet by
Kenneth Ribet(
Book
)
7 editions published in 1979 in French and Undetermined and held by 34 WorldCat member libraries worldwide
7 editions published in 1979 in French and Undetermined and held by 34 WorldCat member libraries worldwide
Courbes modulaires et courbes de Shimura(
Book
)
2 editions published between 1991 and 1992 in French and held by 28 WorldCat member libraries worldwide
2 editions published between 1991 and 1992 in French and held by 28 WorldCat member libraries worldwide
The Grothendieck festschrift by
P Cartier(
Book
)
2 editions published in 1990 in English and held by 26 WorldCat member libraries worldwide
The many diverse articles presented in these three volumes, collected on the occasion of Alexander Grothendieck's sixtieth birthday and originally published in 1990, were offered as a tribute to one of the world's greatest living mathematicians. Grothendieck changed the very way we think about many branches of mathematics. Many of his ideas, revolutionary when introduced, now seem so natural as to have been inevitable. Indeed, it is difficult to fully grasp the influence his vast contributions to modern mathematics have subsequently had on new generations of mathematicians. Many of the groundbreaking contributions in these volumes contain material that is now considered foundational to the subject. Topics addressed by these topnotch contributors match the breadth of Grothendieck's own interests, including: functional analysis, algebraic geometry, algebraic topology, number theory, representation theory, Ktheory, category theory, and homological algebra. CONTRIBUTORS to Volume III: A. Lascoux; S. Lichtenbaum; G. Lusztig; Z. Mebkhout; A. Ogus; A.N. Parshin; M. Raynaud; G.B. Shabat; L. Szpiro; R. Thomason; A. Treibich; T.F. Trobaugh; J.L. Verdier; V.A. Voevodsky; and Y.G. Zarhin
2 editions published in 1990 in English and held by 26 WorldCat member libraries worldwide
The many diverse articles presented in these three volumes, collected on the occasion of Alexander Grothendieck's sixtieth birthday and originally published in 1990, were offered as a tribute to one of the world's greatest living mathematicians. Grothendieck changed the very way we think about many branches of mathematics. Many of his ideas, revolutionary when introduced, now seem so natural as to have been inevitable. Indeed, it is difficult to fully grasp the influence his vast contributions to modern mathematics have subsequently had on new generations of mathematicians. Many of the groundbreaking contributions in these volumes contain material that is now considered foundational to the subject. Topics addressed by these topnotch contributors match the breadth of Grothendieck's own interests, including: functional analysis, algebraic geometry, algebraic topology, number theory, representation theory, Ktheory, category theory, and homological algebra. CONTRIBUTORS to Volume III: A. Lascoux; S. Lichtenbaum; G. Lusztig; Z. Mebkhout; A. Ogus; A.N. Parshin; M. Raynaud; G.B. Shabat; L. Szpiro; R. Thomason; A. Treibich; T.F. Trobaugh; J.L. Verdier; V.A. Voevodsky; and Y.G. Zarhin
The Grothendieck Festschrift : a Collection of Articles Written in Honor of the 60th Birthday of Alexander Grothendieck by
P Cartier(
)
2 editions published in 2007 in English and held by 15 WorldCat member libraries worldwide
The many diverse articles presented in these three volumes, collected on the occasion of Alexander Grothendieck's sixtieth birthday and originally published in 1990, were offered as a tribute to one of the world's greatest living mathematicians. Grothendieck changed the very way we think about many branches of mathematics. Many of his ideas, revolutionary when introduced, now seem so natural as to have been inevitable. Indeed, it is difficult to fully grasp the influence his vast contributions to modern mathematics have subsequently had on new generations of mathematicians. Many of the groundbreaking contributions in these volumes contain material that is now considered foundational to the subject. Topics addressed by these topnotch contributors match the breadth of Grothendieck's own interests, including: functional analysis, algebraic geometry, algebraic topology, number theory, representation theory, Ktheory, category theory, and homological algebra. CONTRIBUTORS to Volume I: A. Altman, M. Artin, V. Balaji, A. Beauville, A.A. Beilinson, P. Berthelot, J.M. Bismut, S. Bloch, L. Breen, J.L. Brylinski, J. Dieudonné, H. Gillet, A.B. Goncharov, K. Kato, S. Kleiman, W. Messing, V.V. Schechtman, C.S. Seshadri, C. Soulé, J. Tate, M. van den Bergh, and A.N. Varchenko
2 editions published in 2007 in English and held by 15 WorldCat member libraries worldwide
The many diverse articles presented in these three volumes, collected on the occasion of Alexander Grothendieck's sixtieth birthday and originally published in 1990, were offered as a tribute to one of the world's greatest living mathematicians. Grothendieck changed the very way we think about many branches of mathematics. Many of his ideas, revolutionary when introduced, now seem so natural as to have been inevitable. Indeed, it is difficult to fully grasp the influence his vast contributions to modern mathematics have subsequently had on new generations of mathematicians. Many of the groundbreaking contributions in these volumes contain material that is now considered foundational to the subject. Topics addressed by these topnotch contributors match the breadth of Grothendieck's own interests, including: functional analysis, algebraic geometry, algebraic topology, number theory, representation theory, Ktheory, category theory, and homological algebra. CONTRIBUTORS to Volume I: A. Altman, M. Artin, V. Balaji, A. Beauville, A.A. Beilinson, P. Berthelot, J.M. Bismut, S. Bloch, L. Breen, J.L. Brylinski, J. Dieudonné, H. Gillet, A.B. Goncharov, K. Kato, S. Kleiman, W. Messing, V.V. Schechtman, C.S. Seshadri, C. Soulé, J. Tate, M. van den Bergh, and A.N. Varchenko
The Grothendieck Festschrift by
P Cartier(
)
1 edition published in 1990 in English and held by 14 WorldCat member libraries worldwide
1 edition published in 1990 in English and held by 14 WorldCat member libraries worldwide
Fermat's last theorem : the theorem and its proof, an exploration of issues and ideas by
Kenneth Ribet(
Visual
)
4 editions published between 1993 and 2012 in English and held by 6 WorldCat member libraries worldwide
Professor Ribet of the Mathematics Dept. at the University of California, Berkeley summarizes the broad outlines of the proof of Fermat's last theorem. The proof depends on a construction of G. Frey which associated an implausible elliptic curve to each solution to Fermat's equation. A recent theorem of A. Wiles shows that the elliptic curve in question is "modular", i.e. is derived from a modular form. A theorem proved in 1986 allows one to obtain a contradiction ... it prevents the implausible elliptic curve from being modular
4 editions published between 1993 and 2012 in English and held by 6 WorldCat member libraries worldwide
Professor Ribet of the Mathematics Dept. at the University of California, Berkeley summarizes the broad outlines of the proof of Fermat's last theorem. The proof depends on a construction of G. Frey which associated an implausible elliptic curve to each solution to Fermat's equation. A recent theorem of A. Wiles shows that the elliptic curve in question is "modular", i.e. is derived from a modular form. A theorem proved in 1986 allows one to obtain a contradiction ... it prevents the implausible elliptic curve from being modular
Current trends in arithmetical algebraic geometry : Proceedings by AMSIMSSIAM Joint Summer Research Conference(
Book
)
1 edition published in 1987 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 1987 in English and held by 3 WorldCat member libraries worldwide
Current Trends in Arithmetical Algebraic Geometry by
Kenneth Ribet(
)
1 edition published in 1987 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1987 in English and held by 2 WorldCat member libraries worldwide
Galois representations and modular forms by
Kenneth Ribet(
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
Recent progress in arithmetic algebraic geometry by
Gerd Faltings(
Visual
)
2 editions published between 1986 and 1988 in English and held by 2 WorldCat member libraries worldwide
Exposé présenté lors du Congrès international des mathématiciens, tenu à Berkeley, Calif., en août 1986
2 editions published between 1986 and 1988 in English and held by 2 WorldCat member libraries worldwide
Exposé présenté lors du Congrès international des mathématiciens, tenu à Berkeley, Calif., en août 1986
On modular representations of Gal(Q̄/Q) arising from modular forms by
Kenneth Ribet(
Book
)
1 edition published in 1987 in English and held by 1 WorldCat member library worldwide
1 edition published in 1987 in English and held by 1 WorldCat member library worldwide
Finding square roots mod p by
Kenneth Ribet(
Visual
)
1 edition published in 2011 in English and held by 1 WorldCat member library worldwide
Lecture delivered at Humboldt State University on October 17, 2011 by Kenneth Ribet, professor of mathematics at the University of California, Berkeley. Sponsored by the Department of Mathematics
1 edition published in 2011 in English and held by 1 WorldCat member library worldwide
Lecture delivered at Humboldt State University on October 17, 2011 by Kenneth Ribet, professor of mathematics at the University of California, Berkeley. Sponsored by the Department of Mathematics
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Related Identities
 Ihara, Y. (Yasutaka) 1938 Author Editor
 Serre, JeanPierre 1926 Other Editor
 Mathematical Sciences Research Institute (Berkeley, Calif.)
 Lauter, Kristin E. (Kristin Estella) 1969 Author Editor
 Illusie, Luc Other Editor
 Laumon, Gérard Other Editor
 Cartier, Pierre Author Editor
 Katz, Nicholas M. Other Editor
 American Mathematical Society Other
 Manin, Yuri I. Other Editor
Useful Links
Associated Subjects
Abelian varieties Algebra Algebra, Homological Algebraic number theory Algebraic topology Algorithms Arithmetical algebraic geometry Categories (Mathematics) Curves, Elliptic Cyclotomy Fermat's last theorem Forms, Modular Functional analysis Galois theory Geometry Geometry, Algebraic Global analysis (Mathematics) Grothendieck, A.(Alexandre) Group theory Jacobians Ktheory Lang, Serge, Lfunctions Mathematical analysis Mathematics MathematicsResearch Modular curves Modules (Algebra) Moduli theory Number theory padic numbers Weil conjectures Wiles, Andrew
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Alternative Names
Ken A. Ribet amerikansk matematiker
Kenneth Alan Ribet Amerikaans wiskundige
Kenneth Alan Ribet amerikansk matematikar
Kenneth Alan Ribet amerikansk matematiker
Kenneth Alan Ribet matemàtic estatunidenc
Kenneth Alan Ribet matematician american
Kenneth Alan Ribet matemático estadounidense
Kenneth Alan Ribet matematico statunitense
Kenneth Alan Ribet mathématicien américain
Kenneth Alan Ribet USamerikanischer Mathematiker
Ribet, K.
Ribet, K. (Kenneth)
Ribet, Ken
Ribet, Kenneth
Ribet, Kenneth A.
קנת' אלן ריבט
קנת' אלן ריבט מתמטיקאי אמריקאי
케네스 앨런 리벳
ケン・リベット
肯尼斯·阿蘭·黎貝
肯尼斯·阿蘭·黎貝 美國數學家
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