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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. -
Program of the Sessions San Diego, California, January 9–12, 2013
Program of the Sessions San Diego, California, January 9–12, 2013 AMS Short Course on Random Matrices, Part Monday, January 7 I MAA Short Course on Conceptual Climate Models, Part I 9:00 AM –3:45PM Room 4, Upper Level, San Diego Convention Center 8:30 AM –5:30PM Room 5B, Upper Level, San Diego Convention Center Organizer: Van Vu,YaleUniversity Organizers: Esther Widiasih,University of Arizona 8:00AM Registration outside Room 5A, SDCC Mary Lou Zeeman,Bowdoin upper level. College 9:00AM Random Matrices: The Universality James Walsh, Oberlin (5) phenomenon for Wigner ensemble. College Preliminary report. 7:30AM Registration outside Room 5A, SDCC Terence Tao, University of California Los upper level. Angles 8:30AM Zero-dimensional energy balance models. 10:45AM Universality of random matrices and (1) Hans Kaper, Georgetown University (6) Dyson Brownian Motion. Preliminary 10:30AM Hands-on Session: Dynamics of energy report. (2) balance models, I. Laszlo Erdos, LMU, Munich Anna Barry*, Institute for Math and Its Applications, and Samantha 2:30PM Free probability and Random matrices. Oestreicher*, University of Minnesota (7) Preliminary report. Alice Guionnet, Massachusetts Institute 2:00PM One-dimensional energy balance models. of Technology (3) Hans Kaper, Georgetown University 4:00PM Hands-on Session: Dynamics of energy NSF-EHR Grant Proposal Writing Workshop (4) balance models, II. Anna Barry*, Institute for Math and Its Applications, and Samantha 3:00 PM –6:00PM Marina Ballroom Oestreicher*, University of Minnesota F, 3rd Floor, Marriott The time limit for each AMS contributed paper in the sessions meeting will be found in Volume 34, Issue 1 of Abstracts is ten minutes. -
Nimbios Annual Report to NSF, Year 12, August 2020
2020 Annual Report National Institute for Mathematical and Biological Synthesis Reporting Period September 2019 – August 2020 Submitted to the National Science Foundation August 2020 This work was conducted at the National Institute for Mathematical and Biological Synthesis, supported by the National Science Foundation through NSF Award #DBI-1300426, with additional support from The University of Tennessee, Knoxville. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation. NIMBioS Annual Project Report to NSF for Award 1300426, Year 12 Cover | Accomplishments | Products | Participants/Organizations | Impacts | Changes/Problems Federal Agency and Organization Element to Which Report 4900 Back to is Submitted: the top Federal Grant or Other Identifying Number Assigned by 1300426 Agency: Project Title: NIMBioS: National Institute for Mathematical and Biological Synthesis PD/PI Name: Louis J Gross, Principal Investigator Recipient Organization: University of Tennessee Knoxville Project/Grant Period: 09/01/2013 - 02/28/2021 Reporting Period: 09/01/2019 - 08/31/2020 Submitting Official (if other than PD\PI): Louis J Gross Principal Investigator Submission Date: 08/11/2020 Signature of Submitting Official (signature shall be Louis J Gross submitted in accordance with agency specific instructions) Accomplishments * What are the major goals of the project? A major goal of mathematical models and analysis in biology is to provide insight into the complexities arising from the non-linearity and hierarchical nature of biological systems. The primary goals of NIMBioS are to foster the maturation of cross-disciplinary approaches in mathematical biology and to assist in the development of a cadre of researchers who are capable of conceiving and engaging in creative and collaborative connections across disciplines to address fundamental and applied biological questions. -
COUNCIL AGENDA Virtual Meeting 5 January 2021 1:30 - 6:30 P.M
COUNCIL AGENDA Virtual Meeting 5 January 2021 1:30 - 6:30 p.m. EDT Prepared December 16, 2020 COUNCIL AGENDA Virtual Meeting 5 January 2021 1:30 - 6:30 p.m. EDT Prepared December 16, 2020 The Council of the Society will meet virtually at 1:30 p.m. (EST) on Tuesday, January 5, 2021. Several items will be discussed in Executive Session. The Council should decide at the beginning when this Executive Session should take place. President Pipher and Secretary Savage ask Council members to read the agenda before the meeting begins, as there will not be enough time during the meeting itself to go through the material carefully. They request that all motions and amendments offered during the meeting be written out by the proposer. Council Agenda 05 January 2021 Page v Conflict of Interest Policy for Officers and Committee Members (as approved by the January 2007 Council) A conflict of interest may exist when the personal interest (financial or other) or con- cerns of any committee member, or the member’s immediate family, or any group or organization to which the member has an allegiance or duty, may be seen as competing or conflicting with the interests or concerns of the AMS. When any such potential conflict of interest is relevant to a matter requiring partici- pation by the member in any action by the AMS or the committee to which the member belongs, the interested party shall call it to the attention of the chair of the committee and such person shall not vote on the matter. -
Mathematics People
NEWS Mathematics People “In 1972, Rainer Weiss wrote down in an MIT report his Weiss, Barish, and ideas for building a laser interferometer that could detect Thorne Awarded gravitational waves. He had thought this through carefully and described in detail the physics and design of such an Nobel Prize in Physics instrument. This is typically called the ‘birth of LIGO.’ Rai Weiss’s vision, his incredible insights into the science and The Royal Swedish Academy of Sci- challenges of building such an instrument were absolutely ences has awarded the 2017 Nobel crucial to make out of his original idea the successful Prize in Physics to Rainer Weiss, experiment that LIGO has become. Barry C. Barish, and Kip S. Thorne, “Kip Thorne has done a wealth of theoretical work in all of the LIGO/Virgo Collaboration, general relativity and astrophysics, in particular connected for their “decisive contributions to with gravitational waves. In 1975, a meeting between the LIGO detector and the observa- Rainer Weiss and Kip Thorne from Caltech marked the tion of gravitational waves.” Weiss beginning of the complicated endeavors to build a gravi- receives one-half of the prize; Barish tational wave detector. Rai Weiss’s incredible insights into and Thorne share one-half. the science and challenges of building such an instrument Rainer Weiss combined with Kip Thorne’s theoretical expertise with According to the prize citation, gravitational waves, as well as his broad connectedness “LIGO, the Laser Interferometer with several areas of physics and funding agencies, set Gravitational-Wave Observatory, is the path toward a larger collaboration. -
2021 September-October Newsletter
Newsletter VOLUME 51, NO. 5 • SEPTEMBER–OCTOBER 2021 PRESIDENT’S REPORT This is a fun report to write, where I can share news of AWM’s recent award recognitions. Sometimes hearing about the accomplishments of others can make The purpose of the Association for Women in Mathematics is us feel like we are not good enough. I hope that we can instead feel inspired by the work these people have produced and energized to continue the good work we • to encourage women and girls to ourselves are doing. study and to have active careers in the mathematical sciences, and We’ve honored exemplary Student Chapters. Virginia Tech received the • to promote equal opportunity and award for Scientific Achievement for offering three different research-focused the equal treatment of women and programs during a pandemic year. UC San Diego received the award for Professional girls in the mathematical sciences. Development for offering multiple events related to recruitment and success in the mathematical sciences. Kutztown University received the award for Com- munity Engagement for a series of events making math accessible to a broad community. Finally, Rutgers University received the Fundraising award for their creative fundraising ideas. Congratulations to all your members! AWM is grateful for your work to support our mission. The AWM Research Awards honor excellence in specific research areas. Yaiza Canzani was selected for the AWM-Sadosky Research Prize in Analysis for her work in spectral geometry. Jennifer Balakrishnan was selected for the AWM- Microsoft Research Prize in Algebra and Number Theory for her work in computa- tional number theory. -
Nimbios Annual Report to NSF, April 2012
2012 Annual Report National Institute for Mathematical and Biological Synthesis Reporting Period, September 2011 – August 2012 Submitted to the National Science Foundation, April 2012 Annual Report: 0832858 Annual Report for Period:09/2011 - 08/2012 Submitted on: 04/16/2012 Principal Investigator: Gross, Louis J. Award ID: 0832858 Organization: U of Tennessee Knoxville Submitted By: Gross, Louis - Principal Investigator Title: National Institute for Mathematical and Biological Synthesis (NIMBioS) Project Participants Senior Personnel Name: Gross, Louis Worked for more than 160 Hours: Yes Contribution to Project: Louis Gross supervised and coordinated all activities of NIMBioS. This included: hiring NIMBioS staff, coordinating activities of the Associate Directors, organizing meetings of the Advisory Board, communicating with potential participants in NIMBioS activities, communicating the NIMBioS mission to numerous institutions through formal and informal presentations, communicating activities with leaders of other NSF BIO Centers, coordinating the renovations of NIMBioS facilities with University officials, chairing the search committee for six new faculty to be associated with NIMBioS, and communicating regularly with NSF Program Officers regarding NIMBioS plans. Name: Gavrilets, Sergey Worked for more than 160 Hours: Yes Contribution to Project: Dr. Gavrilets is the NIMBioS Associate Director for Scientific Activities and member of the NIMBioS Leadership Team. He leads the assessment of requests for support in conjunction with the rest of the Leadership Team and Board of Advisors. He is also the primary organizer for a NIMBioS working group investigating processes of coalition formation and co-organizer of a planned workshop working toward a formal theory for the evolution of human social complexity. Name: Lenhart, Suzanne Worked for more than 160 Hours: Yes Contribution to Project: Dr. -
The Newsmagazine of the Mathematical Association of America Feb/March 2010 | Volume 30 Number 1
MAA FOCUS The Newsmagazine of the Mathematical Association of America Feb/March 2010 | Volume 30 Number 1 WHAT’S INSIDE 14 ...........Prizes and Awards at the 2010 Joint Mathematics Meetings 24 ........... The Shape of Collaboration: Mathematics, Architecture, and Art 27 ........... Meeting the Challenge of High School Calculus 32 ...........How I Use Comics to Teach Elementary Statistics 4(( -6*<: is published by the Mathematical Association of America in January, February/March, 4(( -6*<: April/May, August/September, October/ November, and December/January. (GLWRU Fernando Gouvêa, Colby College =VS\TL c 0ZZ\L [email protected] 0DQDJLQJ (GLWRU Carol Baxter, MAA 4H[OLTH[PJZ (^HYLULZZ 4VU[O · ¹4H[OLTH[PJZ HUK :WVY[Z¹ [email protected] (TLYPJHU 4H[OLTH[PJHS 4VU[OS` ,KP[VY :LHYJO 6HQLRU :ULWHU Harry Waldman, MAA ;OL 1VPU[ 4H[OLTH[PJZ 4LL[PUNZ [email protected] )` -LYUHUKV 8 .V\]vH 3OHDVH DGGUHVV DGYHUWLVLQJ LQTXLULHV WR 144 :OVY[ ;HRLZ [email protected] )` -LYUHUKV 8 .V\]vH 3UHVLGHQW David Bressoud 1VPU[ 4H[OLTH[PJZ 4LL[PUNZ PU 7OV[VZ )LUVW 9LFH 3UHVLGHQW Elizabeth Mayfi eld 9LWVY[ VM [OL -VYTLY :LJYL[HY` 6HFRQG 9LFH 3UHVLGHQW Daniel J. Teague )` 4HY[OH :PLNLS 6HFUHWDU\ Barbara T. Faires 4HY[OH :PLNLS :H`Z -HYL^LSS )` 3H\YH 4J/\NO $VVRFLDWH 6HFUHWDU\ Gerard Venema ,_WLYPLUJPUN [OL 1VPU[ 4H[OLTH[PJZ 4LL[PUNZ 7UHDVXUHU John W. Kenelly )` )YPL -PULNVSK ([HFXWLYH 'LUHFWRU Tina H. Straley 4H[OLTH[PJZ HUK (Y[ H[ 144 'LUHFWRU RI 3XEOLFDWLRQV IRU -RXUQDOV DQG )` 3H\YH 4J/\NO &RPPXQLFDWLRQV Ivars Peterson (U <UKLYNYHK\H[L»Z ,_WLYPLUJL H[ [OL 1VPU[ 4H[OLTH[PJZ 4LL[PUNZ 0$$ )2&86 (GLWRULDO %RDUG Donald )` 5PJOVSHZ 5L\THUU*O\U J. -
President's Report
Newsletter Volume 48, No. 3 • mAY–JuNe 2018 PRESIDENT’S REPORT Dear AWM Friends, In the past few months, as the AWM has been transitioning to a new management company under our new Executive Director, I have had the oppor- The purpose of the Association tunity to appreciate all that we do as an organization. We have over 150 volunteers for Women in Mathematics is working on 47 committees to support our many programs and activities. It has • to encourage women and girls to led me to reflect on the value of belonging. study and to have active careers Ages ago, when I was about to get my PhD, I received a call that I had in the mathematical sciences, and • to promote equal opportunity and been awarded a university-wide teaching award, which would be recognized at the the equal treatment of women and commencement ceremony. The caller wanted to make sure that I would be there girls in the mathematical sciences. with the appropriate attire (a valid concern). I was elated, of course, and I was very grateful to the people who had nominated me and fought for me to win that award. But it wasn’t until years later that I fully realized how much that effort costs, and how easy it is to assume that the system will recognize those who deserve recognition. In fact, being recognized did make me feel that I belonged to the community: I had something to offer, and that was noticed. The AWM currently administers 21 groups of awards: grants, prizes, special lectures, and other recognitions. -
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. -
2021 May-June
Newsletter VOLUME 51, NO. 3 • MAY–JUNE 2021 PRESIDENT’S REPORT I wrote my report for the previous newsletter in January after the attack on the US Capitol. This newsletter, I write my report in March after the murder of eight people, including six Asian-American women, in Atlanta. I find myself The purpose of the Association for Women in Mathematics is wondering when I will write a report with no acts of hatred fresh in my mind, but then I remember that acts like these are now common in the US. We react to each • to encourage women and girls to one as a unique horror, too easily forgetting the long string of horrors preceding it. study and to have active careers in the mathematical sciences, and In fact, in the time between the first and final drafts of this report, another shooting • to promote equal opportunity and has taken place, this time in Boulder, CO. Even worse, seven mass shootings have the equal treatment of women and taken place in the past seven days.1 Only two of these have received national girls in the mathematical sciences. attention. Meanwhile, it was only a few months ago in December that someone bombed a block in Nashville. We are no longer discussing that trauma. Many of these events of recent months and years have been fomented by internet communities that foster racism, sexism, and white male supremacy. As the work of Safiya Noble details beautifully, tech giants play a major role in the creation, growth, and support of these communities.