WorldCat Identities

Cogdell, James W. 1953-

Overview
Works: 18 works in 75 publications in 1 language and 1,148 library holdings
Genres: Conference papers and proceedings  History  Biography 
Roles: Author, Editor, Collector, Honoree
Classifications: QA353.A9, 515.9
Publication Timeline
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Most widely held works by James W Cogdell
The arithmetic and spectral analysis of Poincaré series by James W Cogdell( Book )

9 editions published in 1990 in English and held by 220 WorldCat member libraries worldwide

The Arithmetic and Spectral Analysis of Poincaré Series
Lectures on automorphic L-functions by James W Cogdell( Book )

11 editions published between 2004 and 2009 in English and Undetermined and held by 204 WorldCat member libraries worldwide

This book provides a comprehensive account of how automorphic L-functions play a crucial role in the Langlands program, especially, the Langlands functoriality conjecture, and in number theory. Recently there has been a major development in the Langlands functoriality conjecture by the use of automorphic L-functions, namely, by combining converse theorems of Cogdell and Piatetski-Shapiro with the Langlands-Shahidi method. This book introduces the reader to these developments step by step, and explains how the Langlands functoriality conjecture implies solutions to several outstanding conjectur
Selected works of Ilya Piatetski-Shapiro by I. I Pi︠a︡tet︠s︡kiĭ-Shapiro( Book )

7 editions published between 2000 and 2001 in English and held by 139 WorldCat member libraries worldwide

Automorphic forms and related geometry : assessing the legecy of I.I. Piatetski-Shapiro : April 23-27, 2012, Yale University, New Haven, CT by Automorphic Forms and Related Geometry (Conference)( Book )

9 editions published in 2014 in English and held by 111 WorldCat member libraries worldwide

Ilya I. Piatetski-Shapiro, who passed away on 21 February 2009, was a leading figure in the theory of automorphic forms. From April 23-27, 2012 the conference Automorphic Forms and Geometry: Assessing the Legacy of I.I. Piatetski-Shapiro was held at Yale University to assess the legacy of his work. The conference attempted both to summarize and consolidate the progress that was made during Piatetski-Shapiro's lifetime by him and his substantial group of co-workers, and to promote future work by identifying fruitful directions of further investigation. It was organized around several themes that reflected Piatetski-Shapiro's main foci of work and that have promise for future development. In each area, there were talks to review the current state of affairs with special attention to Piatetski-Shapiro's contributions, and other talks to report on current work and to outline promising avenues for continued progress. The themes selected were: functoriality and converse theorems, local and global L-functions and their periods, p-adic L-functions and arithmetic geometry, complex geometry, and analytic number theory
Automorphic representations, L-functions and applications : progress and prospects : proceedings of a conference honoring Steve Rallis on the occasion of his 60th birthday, the Ohio State University, March 27-30, 2003( Book )

10 editions published between 2005 and 2011 in English and held by 92 WorldCat member libraries worldwide

The continuing vigor and diversity of research on automorphic representations and their applications to arithmetic are clearly reflected in this volume. The depth and breadth of Rallis's influence are also reflected. The papers in this volume represent many of the most recent developments and directions
Advances in the theory of automorphic forms and their L-functions : workshop in honor of James Cogdell's 60th birthday, October 16-25, 2013, Erwin Schrödinger Institute, University of Vienna, Vienna, Austria by Workshop Advances in the Theory of Automorphic Forms and Their L-functions( Book )

6 editions published in 2016 in English and held by 83 WorldCat member libraries worldwide

Arithmetic geometry and automorphic forms( Book )

4 editions published in 2011 in English and held by 35 WorldCat member libraries worldwide

Emil Artin and beyond : class field theory and L-functions by Della Dumbaugh( Book )

6 editions published in 2015 in English and held by 32 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 zeta-function for ideles" in the 1940s are investigated. A (first) study of the influence of Artin on present day work on a non-abelian 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 non-abelian 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)
An introduction to the Langlands program by Daniel Bump( Book )

2 editions published in 2004 in English and held by 26 WorldCat member libraries worldwide

For the past several decades the theory of automorphic forms has become a major focal point of development in number theory and algebraic geometry, with applications in many diverse areas, including combinatorics and mathematical physics. The twelve chapters of this monograph present a broad, user-friendly introduction to the Langlands program, that is, the theory of automorphic forms and its connection with the theory of L-functions and other fields of mathematics. Key features of this self-contained presentation: A variety of areas in number theory from the classical zeta function up to the Langlands program are covered. The exposition is systematic, with each chapter focusing on a particular topic devoted to special cases of the program: Basic zeta function of Riemann and its generalizations to Dirichlet and Hecke L-functions, class field theory and some topics on classical automorphic functions (E. Kowalski) A study of the conjectures of Artin and ShimuraTaniyamaWeil (E. de Shalit) An examination of classical modular (automorphic) L-functions as GL(2) functions, bringing into play the theory of representations (S.S. Kudla) Selberg's theory of the trace formula, which is a way to study automorphic representations (D. Bump) Discussion of cuspidal automorphic representations of GL(2, (A)) leads to Langlands theory for GL(n) and the importance of the Langlands dual group (J.W. Cogdell) An introduction to the geometric Langlands program, a new and active area of research that permits using powerful methods of algebraic geometry to construct automorphic sheaves (D. Gaitsgory) Graduate students and researchers will benefit from this beautiful text
On lifting from classical groups to GL N. Diophantine geometry over groups I : Makanin-Razborov diagrams / by Zlil Sela [u.a.]( Book )

3 editions published in 2001 in English and held by 8 WorldCat member libraries worldwide

Arithmetic quotients of the complex 2-ball and modular forms of Nebentypus by James W Cogdell( )

1 edition published in 1981 in English and held by 2 WorldCat member libraries worldwide

Studies in the History of the English Language II : Unfolding Conversations by James W Cogdell( Book )

1 edition published in 2012 in English and held by 2 WorldCat member libraries worldwide

An exploration of mathematical applications in cryptography by Amy Kosek( )

1 edition published in 2015 in English and held by 1 WorldCat member library worldwide

Modern cryptography relies heavily on concepts from mathematics. In this thesis we will be discussing several cryptographic ciphers and discovering the mathematical applications which can be found by exploring them. This paper is intended to be accessible to undergraduate or graduate students as a supplement to a course in number theory or modern algebra. The structure of the paper also lends itself to be accessible to a person interested in learning about mathematics in cryptography on their own, since we will always give a review of the background material which will be needed before delving into the cryptographic ciphers
arithmetic and spectral analysis of Poincaré series by James W Cogdell( Book )

1 edition published in 1990 in Undetermined and held by 1 WorldCat member library worldwide

Wall-crossing behavior of strange duality morphisms for K3 surfaces by Huachen Chen( )

1 edition published in 2015 in English and held by 1 WorldCat member library worldwide

A strange duality morphism is a map between the spaces of global sections of a pair of line bundles on two different moduli spaces of stable complexes, induced by the so-called theta divisor of product of the two moduli spaces. We study these morphisms by varying stability conditions that define the moduli spaces and comparing the corresponding theta divisor
On certain results on the local gamma factors for the symplectic and unitary groups by Qing Zhang( )

1 edition published in 2016 in English and held by 1 WorldCat member library worldwide

In this thesis, we prove several results on the local gamma factors for symplectic groups and unitary groups. First, we prove the dependence relation of the local gamma factors on the additive character ¿. Second, we prove a stability property of the partial Bessel functions associated with Howe vectors, which will be used to reprove the stability property of the local gamma factors. We also prove a local converse theorem for U(2, 2)
An exposition on group characters by Aaron Thaddeus Margraff( )

1 edition published in 2014 in English and held by 1 WorldCat member library worldwide

Abstract: This paper is an educational approach to group characters through examples which introduces the beginner algebraist to representations and characters of finite groups. My hope is that this exploration might help the advanced undergraduate student discover some of the foundational tools of Character Theory. The prerequisite material for this paper includes some elementary Abstract and Linear Algebra. The basic groups used in the examples are intended to excited a student into exploration of groups they understand from their undergraduate studies. Throughout the section of examples there are exercises used to check understanding and give the reader opportunity to explore further. After taking a course in Abstract Algebra one might find that groups are not concrete objects. Groups model actions, rotations, reflections, movements, and permutations. Group representations turn these abstract sets of objects into sets of n X n matrices with real or complex entries, which can be easily handled by a computer for any number of calculations
 
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Lectures on automorphic L-functions
Alternative Names
Cogdell, James.

Cogdell, James 1953-

Cogdell, James W.

Cogdell, James Wesley

Languages
English (73)

Covers
Selected works of Ilya Piatetski-ShapiroAutomorphic representations, L-functions and applications : progress and prospects : proceedings of a conference honoring Steve Rallis on the occasion of his 60th birthday, the Ohio State University, March 27-30, 2003An introduction to the Langlands programStudies in the History of the English Language II : Unfolding Conversations