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The Contributions of Stanley to the Fabric of Symmetric and Quasisymmetric Functions
THE CONTRIBUTIONS OF STANLEY TO THE FABRIC OF SYMMETRIC AND QUASISYMMETRIC FUNCTIONS SARA C. BILLEY AND PETER R. W. MCNAMARA A E S A D I Dedicated to L N T C H R on the occasion of his 70th birthday. Y R Abstract. We weave together a tale of two rings, SYM and QSYM, following one gold thread spun by Richard Stanley. The lesson we learn from this tale is that \Combinatorial objects like to be counted by quasisymmetric functions." 1. Introduction The twentieth century was a remarkable era for the theory of symmetric func- tions. Schur expanded the range of applications far beyond roots of polynomials to the representation theory of GLn and Sn and beyond. Specht, Hall and Mac- donald unified the algebraic theory making it far more accessible. Lesieur recog- nized the connection between Schur functions and the topology of Grassmannian manifolds spurring interest and further developments by Borel, Bott, Bernstein{ Gelfand{Gelfand, Demazure and many others. Now, symmetric functions routinely appear in many aspects of mathematics and theoretical physics, and have significant importance in quantum computation. In that era of mathematical giants, Richard Stanley's contributions to symmet- ric functions are shining examples of how enumerative combinatorics has inspired and influenced some of the best work of the century. In this article, we focus on a few of the gems that continue to grow in importance over time. Specifically, we survey some results and applications for Stanley symmetric functions, chromatic symmetric functions, P -partitions, generalized Robinson{Schensted{Knuth corre- spondence, and flag symmetry of posets. -
Meetings & Conferences of The
Meetings & Conferences of the AMS IMPORTANT INFORMATION REGARDING MEETINGS PROGRAMS: AMS Sectional Meeting programs do not appear in the print version of the Notices. However, comprehensive and continually updated meeting and program information with links to the abstract for each talk can be found on the AMS website. See http://www.ams.org/meetings/. Final programs for Sectional Meetings will be archived on the AMS website accessible from the stated URL and in an electronic issue of the Notices as noted below for each meeting. Ralph McKenzie, Vanderbilt University, A perspective Louisville, Kentucky on fifty years of work, delight and discovery in general algebra. University of Louisville Victor Moll, Tulane University, 2-adic valuations of classical sequences: A collection of examples. October 5–6, 2013 Saturday – Sunday Special Sessions Algebraic Coding Theory, Steve Szabo, Eastern Ken- Meeting #1092 tucky University, and Heide Gluesing-Luerssen, University Southeastern Section of Kentucky. Associate secretary: Brian D. Boe Algebraic Cryptography, Daniel Smith, University of Announcement issue of Notices: June 2013 Louisville. Program first available on AMS website: August 22, 2013 Applied Analysis and Inverse Problems, Peijun Li, Program issue of electronic Notices: October 2013 Purdue University, Jiguang Sun, Michigan Technological Issue of Abstracts: Volume 34, Issue 3 University, and Yongzhi Steve Xu, University of Louisville. Combinatorial Commutative Algebra, Juan Migliore, Deadlines University of Notre Dame, and Uwe Nagel, University of For organizers: Expired Kentucky. For abstracts: Expired Commutative Rings, Ideals, and Modules, Ela Celikbas and Olgur Celikbas, University of Missouri-Columbia. The scientific information listed below may be dated. Extremal Graph Theory, Jozsef Balogh, University of For the latest information, see www.ams.org/amsmtgs/ Illinois at Urbana-Champaign, and Louis DeBiasio and sectional.html. -
Special Libraries, July-August 1962
San Jose State University SJSU ScholarWorks Special Libraries, 1962 Special Libraries, 1960s 7-1-1962 Special Libraries, July-August 1962 Special Libraries Association Follow this and additional works at: https://scholarworks.sjsu.edu/sla_sl_1962 Part of the Cataloging and Metadata Commons, Collection Development and Management Commons, Information Literacy Commons, and the Scholarly Communication Commons Recommended Citation Special Libraries Association, "Special Libraries, July-August 1962" (1962). Special Libraries, 1962. 6. https://scholarworks.sjsu.edu/sla_sl_1962/6 This Magazine is brought to you for free and open access by the Special Libraries, 1960s at SJSU ScholarWorks. It has been accepted for inclusion in Special Libraries, 1962 by an authorized administrator of SJSU ScholarWorks. For more information, please contact [email protected]. SPECIAL LIBRARIES ASSOCIATION Putting Knowledge to Work OFFICERS DIRECTORS President SARAAULL ETHELS. KLAHRE Uniz;evsity of Hou rton Federal Reserve Bank of Clevela~zd,Clel,eland, Ohio Houston 4, Texas First Vice-president and President-Elect JOANM. HUTCHINSON MRS.MILDRED H. BRODE Research Center, Diamond Alk.11; David Taylor Model Bath. W~shiu,qio~r.D. C. Comparzj, Paiwes~,ille.Ohjo Second Vice-president PAULW. RILEY ROBERTW. GIBSON,JR. College of BusI'ne.t.r Adminirfviitiu~i Thomas J. Watron Research Cet//rv. Ydmzm Bosiott College Height.r, New Yovk Che~t~utHill, Ma.r.rachuset/.r Secretary MRS.JEANNE B. NORTH MRS. ELIZABETHB. ROTH Lockheed Missi1e.r 6 Sp~crDil~isiou. P.do Alto. Stundard Oil Company of Callfor- Culiforniil niil, San Frawrisro, Cdifor~zia Treasurer EDWARDG. STRABLE RALPHH. PHELPS J. Walter Thompsorz Compnizj Ettgineering Societie.~L;brar). A-ew Yvrk, Nru York Chicago, Illinois Immediate Past-President MRS.ELIZABETH R. -
Herbert S. Wilf (1931–2012)
Herbert S. Wilf (1931–2012) Fan Chung, Curtis Greene, Joan Hutchinson, Coordinating Editors received both the Steele Prize for Seminal Contri- butions to Research (from the AMS, 1998) and the Deborah and Franklin Tepper Haimo Award for Dis- tinguished Teaching (from the MAA, 1996). During his long tenure at Penn he advised twenty-six PhD students and won additional awards, including the Christian and Mary Lindback Award for excellence in undergraduate teaching. Other professional honors and awards included a Guggenheim Fellow- ship in 1973–74 and the Euler Medal, awarded in 2002 by the Institute for Combinatorics and its Applications. Herbert Wilf’s mathematical career can be divided into three main phases. First was numerical analysis, in which he did his PhD dissertation Photo courtesy of Ruth Wilf. (under Herbert Robbins at Columbia University Herb Wilf, Thanksgiving, 2009. in 1958) and wrote his first papers. Next was complex analysis and the theory of inequalities, in particular, Hilbert’s inequalities restricted to n Herbert S. Wilf, Thomas A. Scott Emeritus Professor variables. He wrote a cluster of papers on this topic, of Mathematics at the University of Pennsylvania, some with de Bruijn [1] and some with Harold died on January 7, 2012, in Wynnewood, PA, of Widom [2]. Wilf’s principal research focus during amyotrophic lateral sclerosis (ALS). He taught at the latter part of his career was combinatorics. Penn for forty-six years, retiring in 2008. He was In 1965 Gian-Carlo Rota came to the University widely recognized both for innovative research of Pennsylvania to give a colloquium talk on his and exemplary teaching: in addition to receiving then-recent work on Möbius functions and their other awards, he is the only mathematician to have role in combinatorics. -
May-June, 1991
AWIVI ASSOCIATION FOR WOMEN IN MATHEMATICS PRESIDENT'S REPORT After six pages in the previous issue, I promise to take it easy on the trees this time. Things are busy in the AWM office with resource materials, Schafer prize nominations, travel grants, and the usual chaos. Jill Mesirov and I visited the office February 27th to see Tricia in her home away from home at Waban House, also meeting Tricia's right hand woman Katherine Moore. I came away with an AWM mug (see page 12 to learn how one can be yours as well). We get requests for information about summer programs for mathematics students, especially high school students, such as the PROMYS program described in the last issue. Jill has suggested that we might serve as a clearing house for such programs, perhaps listing them in the newsletter. As a first step, please send me and/or Patricia IN THIS ISSUE Cross any information you have about existing listings on such programs, including their requirements and the contact person if possible. Our guess is that even if such a list is incomplete, it could 4 20th Anniversary Album prove helpful. An article in the February 8, 1991 issue of Science contains a great 8 Satter Prize to Dusa McDuff report of interviews with Jill Mesirov, Lenore Blum, and Mary Beth Ruskai at our 20th Anniversary Celebration in San Francisco. In the spirit of Jill's remarks there, I promise in my next letter a partial 12 Tenure Track, Mommy Track listing of mathematics departments with no tenured women, starting with the Group I institutions. -
Herbert S. Wilf (1931–2012)
Herbert S. Wilf (1931–2012) Fan Chung, Curtis Greene, Joan Hutchinson, Coordinating Editors received both the Steele Prize for Seminal Contri- butions to Research (from the AMS, 1998) and the Deborah and Franklin Tepper Haimo Award for Dis- tinguished Teaching (from the MAA, 1996). During his long tenure at Penn he advised twenty-six PhD students and won additional awards, including the Christian and Mary Lindback Award for excellence in undergraduate teaching. Other professional honors and awards included a Guggenheim Fellow- ship in 1973–74 and the Euler Medal, awarded in 2002 by the Institute for Combinatorics and its Applications. Herbert Wilf’s mathematical career can be divided into three main phases. First was numerical analysis, in which he did his PhD dissertation Photo courtesy of Ruth Wilf. (under Herbert Robbins at Columbia University Herb Wilf, Thanksgiving, 2009. in 1958) and wrote his first papers. Next was complex analysis and the theory of inequalities, in particular, Hilbert’s inequalities restricted to n Herbert S. Wilf, Thomas A. Scott Emeritus Professor variables. He wrote a cluster of papers on this topic, of Mathematics at the University of Pennsylvania, some with de Bruijn [1] and some with Harold died on January 7, 2012, in Wynnewood, PA, of Widom [2]. Wilf’s principal research focus during amyotrophic lateral sclerosis (ALS). He taught at the latter part of his career was combinatorics. Penn for forty-six years, retiring in 2008. He was In 1965 Gian-Carlo Rota came to the University widely recognized both for innovative research of Pennsylvania to give a colloquium talk on his and exemplary teaching: in addition to receiving then-recent work on Möbius functions and their other awards, he is the only mathematician to have role in combinatorics. -
President's Report
Newsletter VOLUME 44, NO. 2 • MARCH–APRIL 2014 PRESIDENT’S REPORT My last President’s Report began with the good news that we had been offered a $5,000 match for contributions to AWM made between December 1 and January 31. I am happy to begin this month’s report with even better news: your contri- The purpose of the Association butions put us well over the $5,000. Including the match, we raised over $12,000 for Women in Mathematics is in two months. To all of you who contributed, please accept my personal thanks as • to encourage women and girls to well as the thanks of the Association as a whole for supporting our goals. study and to have active careers February 1 marks the changing of the guard at AWM. We welcome Kristin in the mathematical sciences, and Lauter (Microsoft Research) as the new President-Elect. Kristin replaces Jill Pipher, • to promote equal opportunity and the equal treatment of women and the outgoing Past President on the Management Team. The community as a whole girls in the mathematical sciences. owes Jill an enormous thanks for all she has done for AWM over the past four years. Personally, I will miss her sage advice (or more likely, I will pick up the phone and consult her anyway). Kristin has been serving on the AWM Executive Committee (EC) for the past two years so she is well versed in the current issues and has some excellent ideas for the future. I look forward with enthusiasm to working with her. -
STATISTICAL ABSTRACT of UNDERGRADUATE PROGRAMS in the MATHEMATICAL SCIENCES and COMPUTER SCIENCE in the UNITED STATES 1990-91 CBMS Survey
STATISTICAL ABSTRACT OF UNDERGRADUATE PROGRAMS IN THE MATHEMATICAL SCIENCES AND COMPUTER SCIENCE IN THE UNITED STATES 1990-91 CBMS Survey DONALD J. ALBERS DON O. LOFTSGAARDEN DONALD C. RUNG ANN E. WATKINS MAA Notes Number 23 Published by THE MATHEMATICAL ASSOCIATION OF AMERICA STATISTICAL ABSTRACT OF UNDERGRADUATE PROGRAMS IN THE MATHEMATICAL SCIENCES AND COMPUTER SCIENCE IN THE UNITED STATES 1990-91 CBMS Survey STATISTICAL ABSTRACT OF UNDERGRADUATE PROGRAMS IN THE MATHEMATICAL SCIENCES AND COMPUTER SCIENCE IN THE UNITED STATES 1990-91 CBMS Survey DONALD J. ALBERS Mathematical Association of America DON O. LOFTSGAARDEN University of Montana DONALD C. RUNG The Pennsylvania State University ANN E. WATKINS California State University, Northridge MAA Notes and Reports Series The MAA Notes and Reports Series, started in 1982, addresses a broad range of topics and themes of interest to all who are in- volved with undergraduate mathematics. The volumes in this series are readable, informative, and useful, and help the mathematical community keep up with developments of importance to mathematics. Editorial Board Warren Page, Chair Donald W. Bushaw Vera S. Pless Melvin Henriksen David A. Smith Joan Hutchinson Tina Straley John Neff MAA Notes 1. Problem Solving in the Mathematics Curriculum, Committee on the Teaching of Undergraduate Mathematics, a subcommittee of the Committee on the Undergraduate Program in Mathematics, Alan H. Schoenfeld, Editor 2. Recommendations on the Mathematical Preparation of Teachers, Committee on the Undergraduate Program in Mathematics, Panel on Teacher Training. 3. Undergraduate Mathematics Education in the People's Republic of China, Lynn A. Steen, Editor. 4. Notes on Primality Testing and Factoring, Carl Pomerance. -
Program of the Sessions Baltimore, Maryland, January 15–18, 2014
Program of the Sessions Baltimore, Maryland, January 15–18, 2014 9:00AM Ways of relating to the mathematics of Monday, January 13 (4) the past (part 1). AMS Short Course on Geometry and Michael Fried, Ben Gurion University of the Negev Topology in Statistical Inference, Part I 10:00AM Coffee break. 9:00 AM –5:00PM Grand Ballroom, West, 10:15AM Ways of relating to the mathematics of 1st Floor, Marriott Inner Harbor (5) the past (part 2). Michael Fried, Ben Gurion University of Organizer: Sayan Mukherjee,Duke the Negev University 1:00PM Contextualization of history. 9:00AM Geometry in statistical inference. (6) Ron Calinger, Catholic University of (1) Sayan Mukherjee, Duke University America (1096-62-2781) 2:15PM Historical documents and sources and 11:00AM Topology in statistical inference. (7) implications to pedagogy (part 1). (2) Sayan Mukherjee, Duke University V. Frederick Rickey,USMA (1096-62-2782) 3:15PM Coffee break. 2:00PM Hodge operator in data analysis. 3:30PM The problem of translation: A case study (3) Lek-Heng Lim, University of Chicago (8) using Book II of the Elements. (1096-55-2786) Colin McKinney, Wabash College 4:00PM Discussion NSF-EHR Grant Proposal Writing Workshop MAA Short Course on Reading, Writing, and Doing the History of Mathematics: Learning 3:00 PM –6:00PM Grand Ballroom, Salons the Methods of Historical Research, Part I ABC, 1st Floor, Marriott Inner Harbor 9:00 AM –5:30PM Grand Ballroom, East, 1st Floor, Marriott Inner Harbor Organizer: Amy Shell-Gellasch, Tuesday, January 14 Montgomery College AMS Department Chairs Workshop 7:30AM Registration.