Arnold Ross (1906–2002), Volume 50, Number 6
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National Council on the Humanities Minutes, No. 11-15
Office of th8 General Counsel N ational Foundation on the Aria and the Humanities MINUTES OF THE ELEVENTH MEETING OF THE NATIONAL COUNCIL ON THE HUMANITIES Held Monday and Tuesday, February 17-18, 1969 U. S. Department of State Washington, D. C. Members present; Barnaby C. Keeney, Chairman Henry Haskell Jacob Avshalomov Mathilde Krim Edmund F. Ball Henry Allen Moe Robert T. Bower James Wm. Morgan *Germaine Br&e Ieoh Ming Pei Gerald F. Else Emmette W. Redford Emily Genauer Robert Ward Allan A. Glatthorn Alfred Wilhelmi Members absent: Kenneth B. Clark Charles E. Odegaard John M. Ehle Walter J. Ong Paul G. Horgan Eugene B. Power Albert William Levi John P. Roche Soia Mentschikoff Stephen J. Wright James Cuff O'Brien *Present Monday only - 2 - Guests present: *Mr. Harold Arberg, director, Arts and Humanities Program, U. S. Office of Education Dr. William Emerson, assistant to the president, Hollins College, Virginia Staff members present; Dr. James H. Blessing, director, Division of Fellowships and Stipends, and acting director, Division of Research and Publication, National Endowment for the Humanities Dr. S. Sydney Bradford, program officer, Division of Research and Publication, NEH Miss Kathleen Brady, director, Office of Grants, NEH Mr. C. Jack Conyers, director, Office of Planning and Analysis, NEH Mr. Wallace B. Edgerton, deputy chairman, NEH Mr. Gerald George, special assistant to the chairman, NEH Dr. Richard Hedrich, Director of Public Programs, NEH Dr. Herbert McArthur, Director of Education Programs, NEH Miss Nancy McCall, research assistant, Office of Planning and Analysis, NEH Mr. Richard McCarthy, assistant to the director, Office of Planning and Analysis, NEH Miss Laura Olson, Public Information Officer, NEH Dr. -
ITS FIRST FIFTY YEARS Carl Β
THE MATHEMATICAL ASSOCIATION OF AMERICA: ITS FIRST FIFTY YEARS Carl Β. Boyer Brooklyn College, CUNY Richard W. Feldmann Lycoming College Harry M. Gehman SUN Yat Buffalo Phillip S. Jones University of Michigan Kenneth O. May University of Toronto Harriet F. Montague SUNYat Buffalo Gregory H. Moore University of Toronto Robert A. Rosenbaum Wesleyan University Emory P. Starke Rutgers University Dirk J. Struik Massachusetts Institute of Technology THE MATHEMATICAL ASSOCIATION OF AMERICA: ITS FIRST FIFTY YEARS Kenneth O. May, editor University of Toronto, Canada Published and distributed by The Mathematical Association of America Copyright 1972 by THE MATHEMATICAL ASSOCIATION OF AMERICA (INCORPORATED) PREFACE The fiftieth anniversary of the founding of the Mathematical Association of America was celebrated at the 1965 summer meeting at Cornell University [MONTHLY 72, 1053-1059]. The invited addresses on that occasion dealing with the past, present, and future of the Association and of mathematics, were published in the fiftieth anniversary issue [MONTHLY 74, Num. !, Part II] under the editorship of Carl B. Allendoerfer. The historical addresses by A. A. Bennett, R. A. Rosenbaum, W. L. Duren, Jr., and P. S. Jones whetted appetites for a more complete story of the Association. Early in 1966, on a recommendation of the Committee on Publications, President R. L. Wilder appointed a Committee on the Preparation of a Fifty-Year History of the Association consisting of Carl B. Boyer, Kenneth O. May (Chairman), and Dirk J. Struik. An appropriation of one thousand dollars was set aside to meet incidental expenses. The Committee began its work with very ambitious plans, hoping to get financial support for interviewing older members of the Association and the preparation of special studies on particular aspects of the Association's work. -
[The PROOF of FERMAT's LAST THEOREM] and [OTHER MATHEMATICAL MYSTERIES] the World's Most Famous Math Problem the World's Most Famous Math Problem
0Eft- [The PROOF of FERMAT'S LAST THEOREM] and [OTHER MATHEMATICAL MYSTERIES] The World's Most Famous Math Problem The World's Most Famous Math Problem [ THE PROOF OF FERMAT'S LAST THEOREM AND OTHER MATHEMATICAL MYSTERIES I Marilyn vos Savant ST. MARTIN'S PRESS NEW YORK For permission to reprint copyrighted material, grateful acknowledgement is made to the following sources: The American Association for the Advancement of Science: Excerpts from Science, Volume 261, July 2, 1993, C 1993 by the AAAS. Reprinted by permission. Birkhauser Boston: Excerpts from The Mathematical Experience by Philip J. Davis and Reuben Hersh © 1981 Birkhauser Boston. Reprinted by permission of Birkhau- ser Boston and the authors. The Chronicleof Higher Education: Excerpts from The Chronicle of Higher Education, July 7, 1993, C) 1993 Chronicle of HigherEducation. Reprinted by permission. The New York Times: Excerpts from The New York Times, June 24, 1993, X) 1993 The New York Times. Reprinted by permission. Excerpts from The New York Times, June 29, 1993, © 1993 The New York Times. Reprinted by permission. Cody Pfanstieh/ The poem on the subject of Fermat's last theorem is reprinted cour- tesy of Cody Pfanstiehl. Karl Rubin, Ph.D.: The sketch of Dr. Wiles's proof of Fermat's Last Theorem in- cluded in the Appendix is reprinted courtesy of Karl Rubin, Ph.D. Wesley Salmon, Ph.D.: Excerpts from Zeno's Paradoxes by Wesley Salmon, editor © 1970. Reprinted by permission of the editor. Scientific American: Excerpts from "Turing Machines," by John E. Hopcroft, Scientific American, May 1984, (D 1984 Scientific American, Inc. -
On Selmer Groups of Geometric Galois Representations Tom Weston
On Selmer Groups of Geometric Galois Representations Tom Weston Department of Mathematics, Harvard University, Cambridge, Mass- chusetts 02140 E-mail address: [email protected] iii Dedicated to the memory of Annalee Henderson and to Arnold Ross Contents Introduction ix Acknowledgements xii Notation and terminology xv Fields xv Characters xv Galois modules xv Schemes xv Sheaves xvi Cohomology xvi K-theory xvi Part 1. Selmer groups and deformation theory 1 Chapter 1. Local cohomology groups 3 1. Local finite/singular structures 3 2. Functorialities 4 3. Local exact sequences 5 4. Examples of local structures 6 5. Ordinary representations 7 6. Cartier dual structures 8 7. Local structures for archimedean fields 9 Chapter 2. Global cohomology groups 11 1. Selmer groups 11 2. Functorialities 13 3. The global exact sequence 13 4. A finiteness theorem for Selmer groups 14 5. The Kolyvagin pairing 16 6. Shafarevich-Tate groups 18 7. The Bockstein pairing 20 Chapter 3. Annihilation theorems for Selmer groups 21 1. Partial geometric Euler systems 21 2. The key lemmas 22 3. The annihilation theorem 25 4. Right non-degeneracy of the Bockstein pairing 27 5. A δ-vanishing result 28 Chapter 4. Flach systems 31 1. Minimally ramified deformations 31 v vi CONTENTS 2. Tangent spaces and Selmer groups 34 3. Good primes 36 4. Flach systems 38 5. Cohesive Flach systems 39 6. Cohesive Flach systems of Eichler-Shimura type 40 Chapter 5. Flach systems of Eichler-Shimura type 43 1. The map on differentials 43 2. The Tate pairing 45 3. A special case 47 4. -
NN Aug 2013.Indd
NOUVELLES THE O HIO S TATE U NIVERSITY AUGUST 2013 AND D IRECTORY NOUVELLES CENTER FOR M EDIEVAL & R ENAISSANCE S TUDIES CALENDAR AUTUMN 2013 30 AugustA t 2013 15 October 2013 CMRS Lecture Series CMRS Film Series: The Conquerer Worm (1968) Christina Normore, Northwestern University Directed by Michael Reeves Between the Dishes and What Courtiers Found There Starring: Vincent Price, Ian Ogilvy, and Rupert Davies 3:00 PM, 090 18th Avenue Library 7:30 PM, 455B Hagerty Hall 26 October 2013 Ohio Medieval Colloquium Heidelberg University 3 September 2013 Tiffi n, OH CMRS Film Series: Kirikou and the Sorceress (1998) Directed by Michael Ocelot 29 October 2013 Starring: Doudou Gueye Thiaw, Miamouna N’Diaye CMRS Film Series: The Wicker Man (1973) and Awa Sene Directed by Robin Hardy 7:30 PM, 455B Hagerty Hall Starring: Edward Woodward, Christopher Lee, and Diane Cilento 17 September 2013 7:30 PM,M, 455B Hagerty ge y Hall CMRS Film Series: Spirited Away (2001) Directed by Hayao Miyazaki Starring: Daveigh Chase, Suzanne Pleshette, and Susan Egan 7:30 PM, 455B Hagerty Hall 8 November 2013 27 September 2013 CMRS Lecture Series: MRGSA Lecture CMRS Lecture Series: Francis Lee Utley Lecture Co-Sponsored by the Medieval and Renaissance Graduate Co-Sponsored by the Center for Folklore Studies Student Association Luisa Del Giudice, UCLA Christopher Dyer, University of Leicester Mountains of Cheese, Rivers of Wine: Paesi di Cuccagna Diets of the Poor in Medieval England and Other Gastronomic Utopias 3:00 PM, 090 18th Avenue Library 3:00 PM, 090 18th Avenue -
Autumn 2019 Vol. 1
Nouvelles Autumn 2019 Nouvelles Vol. 1 CMRS Calendar September 5 September, 2019 CMRS Autumn 2019 Film Series: “Revolutionary England” Cromwell (1970) 7:00 PM, 198(A) Hagerty Hall 13 September, 2019 MRGSA “Bodies in Motion” Symposium Keynote Lecture: Seeta Chaganti, UC Davis “Sidestepping: Race, Blackface, and the History of Morris Dance Scholarship” 4:00 PM, 3rd Floor Research Commons, 18th Ave. Library 27 September, 2019 CMRS Lecture Series: Dot Porter, University of Pennsylvania “Books of Hours as Transformative Works” 4:00 PM, 3rd Floor Research Commons, 18th Ave. Library October 3 October, 2019 CMRS Autumn 2019 Film Series: “Revolutionary England” To Kill a King (2003) 7:00 PM, 198(A) Hagerty Hall 11 October, 2019 CMRS Public Lecture and Performance: Joshua Jay, Magician “Rediscovering Discoverie: Making Magic’s Oldest Ideas New Again” 7:00 PM, Ohio Union – US Bank Conference Theater 21 October, 2019 CMRS Colloquium Series: Alanna Radlo-Dzur (History of Art) Title TBD 4:00 PM, 198(A) Hagerty Hall 31 October, 2019 CMRS Autumn 2019 Film Series: “Revolutionary England” Witchfinder General (1968) 7:00 PM, 198(A) Hagerty Hall Cover Art: Joshua Jay, who will discuss and demonstrate Reginald Scot's Discoverie of Witchcraft (background image) NOUVELLES Table of Contents NOUVELLES Center for Medieval and Renaissance Studies Director Christopher Highley Associate Director Contents Leslie Lockett Program Coordinator Nicholas Spitulski 4 Graduate Associates Greetings Stephen Barker Manuel Jacquez A Welcome Message from the Director Nouvelles Nouvelles is published by the Center for Medieval and Renaissance Studies and is 6 also available in pdf at http://cmrs.osu.edu/nn. -
Finding Aid Aggregation at a Crossroads
Finding Aid Aggregation at a Crossroads Prepared by Jodi Allison-Bunnell, AB Consulting Edited by Adrian Turner, California Digital Library 2019 May 20 ! This report was prepared for "Toward a National Finding Aid Network," a one-year planning initiative supported by the U.S. Institute of Museum and Library Services under the provisions of the Library Services and Technology Act (LSTA), administered in California by the State Librarian Table of Contents Executive Summary 2 Foundational Assumptions 3 Key Findings 3 Introduction 5 Methodology 5 Findings 6 Purpose and Value 6 Coverage and Scope 6 Resources 7 Infrastructure 7 End Users 8 Data Structure and Content 8 Organizational Considerations 9 A Composite Profile of Aggregators and Meta-Aggregators 9 Statewide and Regional Coverage of Aggregators 10 Extent of Institutions Contributing to Aggregators 11 Extent of Finding Aids Hosted by Aggregators 11 Growth Rate of Aggregators 12 Finding Aid Formats Hosted by Aggregators and Meta-Aggregators 13 Organizational Histories of Aggregators and Meta-Aggregators 14 User Audiences Served by Aggregations and Meta-Aggregators 16 Value Proposition: Strengths, Weaknesses, and Aspirations of Aggregators and Meta- Aggregators 16 Organizational Lifecycle Stages and Vitality of Aggregators and Meta-Aggregators 18 Infrastructure Used by Aggregators and Meta-Aggregators 20 Governance of Aggregations and Meta-Aggregations 23 Resources to Support Aggregations and Meta-Aggregations 23 Defunct Aggregations 28 Individual Archival Repositories and Relationships -
Algebra & Number Theory
Algebra & Number Theory Volume 4 2010 No. 2 mathematical sciences publishers Algebra & Number Theory www.jant.org EDITORS MANAGING EDITOR EDITORIAL BOARD CHAIR Bjorn Poonen David Eisenbud Massachusetts Institute of Technology University of California Cambridge, USA Berkeley, USA BOARD OF EDITORS Georgia Benkart University of Wisconsin, Madison, USA Susan Montgomery University of Southern California, USA Dave Benson University of Aberdeen, Scotland Shigefumi Mori RIMS, Kyoto University, Japan Richard E. Borcherds University of California, Berkeley, USA Andrei Okounkov Princeton University, USA John H. Coates University of Cambridge, UK Raman Parimala Emory University, USA J-L. Colliot-Thel´ ene` CNRS, Universite´ Paris-Sud, France Victor Reiner University of Minnesota, USA Brian D. Conrad University of Michigan, USA Karl Rubin University of California, Irvine, USA Hel´ ene` Esnault Universitat¨ Duisburg-Essen, Germany Peter Sarnak Princeton University, USA Hubert Flenner Ruhr-Universitat,¨ Germany Michael Singer North Carolina State University, USA Edward Frenkel University of California, Berkeley, USA Ronald Solomon Ohio State University, USA Andrew Granville Universite´ de Montreal,´ Canada Vasudevan Srinivas Tata Inst. of Fund. Research, India Joseph Gubeladze San Francisco State University, USA J. Toby Stafford University of Michigan, USA Ehud Hrushovski Hebrew University, Israel Bernd Sturmfels University of California, Berkeley, USA Craig Huneke University of Kansas, USA Richard Taylor Harvard University, USA Mikhail Kapranov Yale -
CV and Bibliography Karl Rubin Education 1981 Ph.D., Mathematics, Harvard University 1977 M.A., Mathematics, Harvard University 1976 A.B
Karl Rubin phone: 949-824-1645 Department of Mathematics fax: 508-374-0599 UC Irvine [email protected] Irvine, CA 92697-3875 http://www.math.uci.edu/~krubin CV and Bibliography Karl Rubin Education 1981 Ph.D., Mathematics, Harvard University 1977 M.A., Mathematics, Harvard University 1976 A.B. summa cum laude, Mathematics, Princeton University Employment 2019{ Distinguished Professor Emeritus, University of California Irvine 2004{2020 Thorp Professor of Mathematics, University of California Irvine 2013{2016 Chair, Department of Mathematics, UC Irvine 1997{2006 Professor, Stanford University 1996{1999 Distinguished University Professor, Ohio State University 1987{1996 Professor, Ohio State University 1988{1989 Professor, Columbia University 1984{1987 Assistant Professor, Ohio State University 1982{1983 Instructor, Princeton University Selected visiting positions Universit¨atErlangen-N¨urnberg Harvard University Institute for Advanced Study (Princeton) Institut des Hautes Etudes Scientifiques (Paris) Mathematical Sciences Research Institute (Berkeley) Max-Planck-Institut f¨urMathematik (Bonn) Selected honors and awards 2012 Fellow of the American Mathematical Society 1999 Humboldt-Forschungspreis (Humboldt Foundation Research Award) 1994 Guggenheim Fellowship 1992 AMS Cole Prize in Number Theory 1988 NSF Presidential Young Investigator Award 1987 Ohio State University Distinguished Scholar Award 1985 Sloan Fellowship 1981 NSF Postdoctoral Fellowship 1979 Harvard University Graduate School of Arts and Sciences Fellow 1976 NSF Graduate Fellowship -
Algebraic Tori in Cryptography
Fields Institute Communications Volume 00, 0000 Algebraic tori in cryptography Karl Rubin Department of Mathematics, Stanford University, Stanford CA 94305, USA [email protected] Alice Silverberg Department of Mathematics, Ohio State University, Columbus OH 43210, USA [email protected] Abstract. We give a mathematical interpretation in terms of algebraic tori of the LUC and XTR cryptosystems and a conjectured generaliza- tion. 1 Introduction In a series of papers culminating in [7], Edouard Lucas introduced and explored the properties of certain recurrent sequences that became known as Lucas functions. Since then, generalizations and applications of Lucas functions have been studied (see [17, 18, 20]), and public key discrete log based cryptosystems (such as LUC) have been based on them (see [8, 12, 13, 19, 1]). The Lucas functions arise when studying quadratic field extensions. Cryptographic applications of generalizations to cubic and sextic field extensions are given in [4] and [3, 6], respectively. The cryptosystem in [6] is called XTR. An approach for constructing a generalization of these cryptosystems to the case of degree 30 extensions is suggested in [3, 2]. The × idea of these cryptosystems is to represent certain elements of Fqn (for n = 2, 6, and 30, respectively) using only ϕ(n) elements of Fq, and do a variant of the Diffie- Hellman key exchange protocol. For XTR and LUC, traces are used to represent the elements. In [2], symmetric functions are proposed in place of the trace (which is the first symmetric function). In [11] we use algebraic tori to construct public key cryptosystems. These × systems are based on the discrete log problem in a subgroup of Fqn in which the elements can be represented by only ϕ(n) elements of Fq. -
Edray Herbert Goins, Teoría De Números, Geometría Algebraica
MATEMÁTICOS ACTUALES Edray Herbert Goins, Teoría de números, geometría algebraica Edray Herber Goins nació en el centro-sur de Los Ángeles y, teniendo en cuenta el reconocimiento que figura en el encabezamiento de su tesis, este matemático parece haber sido orientado por su madre, Eddi Beatrice Goins, y también por su padrino, William Herber Dailey. Él escribe esto: Al autor le gustaría dar el máximo crédito a su madre, Eddi Beatrice Goins, y a su padrino, William Herber Dailey, por su constante orientación, apoyo y protección a lo largo de los años. Edray Goins fue criado junto con su hermano. Del resumen de la charla “Black Mathematician: My Journey from South Central to Studying Dessins d'Enfants” que dio en 2015 en la Universidad de Michigan, en el "Coloquio del Dr. Marjorie Lee Browne" obtenemos los siguientes detalles. En 1939, Annie Beatrice Brown dio a luz en Marshall, Texas, a Eddi Beatrice Brown. Pasó la mayoría de los años 1936- 1942 tomando clases de educación en Bishop College, alternando su tiempo entre tomar clases de educación y ser una madre que se queda en casa. Eddi Beatrice Brown se convirtió en maestra, se casó con Goins, y en 1972 dio a luz a Edray Herber Goins, el protagonista de esta biografía, en el centro-sur de Los Ángeles. Edray siempre ha dicho que su madre y otros maestros en el sistema de Escuelas Públicas Unificadas de Los Ángeles, a las que él asistió, le alentaron y motivaron a estudiar mucho y asumir desafíos de aprendizaje adicionales [Referencia 9]: Incluso a temprana edad, Edray mostraba sed de conocimientos. -
Memories of Arnold Ross
January 2003 FOCUS 1 FOCUS January 2003 FOCUS is published by the Mathematical Association of America in January, February, March, April, May/June, FOCUS August/September, October, November, and December. January 2003 Editor: Fernando Gouvêa, Colby College; [email protected] Volume 23, Number 1 Managing Editor: Carol Baxter, MAA 4Remembering Henry L. Alder (1922-2002) [email protected] By Gerald Alexanderson Senior Writer: Harry Waldman, MAA [email protected] 7Lowell W. Beineke Named Editor of The College Please address advertising inquiries to: Mathematics Journal Carol Baxter, MAA; [email protected] President: Ann E. Watkins, California State 8A Year in the Life of the MAA: The Statistics University, Northridge By Ann Watkins First Vice-President: Carl C. Cowen, Second Vice-President: Joseph A. Gallian, Secretary: 10 NSF’s Advanced Technological Education Program Martha J. Siegel, Associate Secretary: James J. Tattersall, Treasurer: John W. Kenelly By Victor Katz Executive Director: Tina H. Straley 12 NSF Beat: Opportunities at the National Science Foundation Associate Executive Director and Director of Publications and Electronic Services: By Sharon Cutler Ross Donald J. Albers FOCUS Editorial Board: Gerald 13 Report: 14th General Assembly of the International Alexanderson; Donna Beers; J. Kevin Mathematical Union Colligan; Ed Dubinsky; Bill Hawkins; Dan By Harry Waldman, based on a report by Donald G. Saari Kalman; Peter Renz; Annie Selden; Jon Scott; Ravi Vakil. 14 Short Takes Letters to the editor should be addressed to Fernando Gouvêa, Colby College, Dept. of Mathematics, Waterville, ME 04901, or by 15 Letters to the Editor email to [email protected]. Subscription and membership questions 17 Memories of Arnold Ross should be directed to the MAA Customer By Glenn Stevens Service Center, 800-331-1622; e-mail: [email protected]; (301) 617-7800 (outside 18 Being a Mathematics Educator in a Department of Mathematics U.S.