CMS NOTES De La SMC

CMS NOTES de la SMC

Volume 31 No. 7 November / novembre 1999

In this issue / Dans ce numero´ FROM THE (CRM) will hold a one day symposium PRESIDENT’S DESK marking its 30th anniversary and its Editorial ...... 2 many achievements, notably in the past decade. On the day following the meet- A Canadian “Mathematics and ing (December 14) the first CMS Job Careers” Resource? ...... 3 Fair will take place, sponsored by the CMS, CRM, the Institut des sciences ´ Book Review ...... 4 mathematiques (ISM) and two industrial liaison networks, NCM2 and MI- TACS, in which the CRM is a partner. Du bureau du president´ ...... 6 So a great deal of activity is compressed into an extended weekend. And Mon- Awards / Prix ...... 7 treal is, of course, a wonderful city to visit. I look forward to seeing you A Note of Thanks / Une Note de there. Remerciement ...... 9 Richard Kane Job fairs are an innovation which we are hoping to establish as a regular From the Institutes ...... 10 (voir la page 6 pour la version event at CMS meetings. There is a con- française) sensus in the mathematical community Meetings / Reunions´ Our next CMS meeting, the 1999 Win- that such forums for graduate and se- CMS Winter 1999 Meeting ter Meeting, will be taking place during nior undergraduate students, focusing Reunion´ d’hiver 1999 de la December 11-13 in Montreal, hosted on outreach and careers, business and SMC...... 14 by Université de Montreal.´ The ex- industry, are important. Job fairs repre- tensive scientific program comprises Schedule / Horaire ...... 16 sent another area in which the CMS and eleven sessions: Algebraic and Geo- the three Canadian Mathematical Insti- Scheduled Speakers / metric Methods in Differential Equa- tutes are collaborating. A format has Conferenciers´ prevus´ ...... 19 tions; Applied Logic; Combinatorial evolved in which the Institutes (via MI- Algebra, Group Representations and TACS) and the CMS will jointly spon- Call for Nominations / Appel de Macdonald Polynomials; Computing sor these job fairs. A job fair is being Candidatures ...... 25 and Mathematical Modelling; History planned for next summer’s McMaster of Mathematics; Mathematical Ge- meeting, with the Fields Institute as the 40th International Mathemati- netics and Genomics; Mathematical main partner. cal Olympiad (IMO) ...... 26 Physics; Orders, Lattices and Univer- The development of resources and sal Algebra; Teaching of Linear Alge- infrastructure to support mathematical Committees at Work ...... 28 bra; Graduate Students Seminar; Con- training at all levels from secondary to tributed Papers Session. As well, there graduate school is clearly one of the News from Departments ...... 29 will be two satellite events associated major current trends within the CMS. with the meeting. On the day pre- In his article appearing in the October Calendar of events / Calendrier ceding the meeting (December 10) the des ev´ enements´ ...... 38 Centre de Recherches mathematiques´ (see PRESIDENT–page 5) NOVEMBER/NOVEMBRE CMS NOTES

EDITORIAL I request our readers to send us their CMS NOTES thoughts on such matters. NOTES DE LA SMC Les Notes de la SMC sont publiees´ par la Societ´ e´ mathematique´ du Canada (SMC) huit fois l’an (fevrier,´ mars, avril, mai, septembre, octobre, Lorsque vous lirez ce numéro, nous novembre et decembre).´ serons à moins de deux mois du second millénaire. C’est drôlement exci- Redacteurs´ en chef tant d’avoir l’occasion d’assister à ce Peter Fillmore; S. Swaminathan moment mémorable qu’est le passage [email protected] à un nouveau millénaire. Redacteur-g´ erant´ La grande préoccupation de l’heure, le célèbre bogue de l’an 2000, Robert W. Quackenbush S. Swaminathan à savoir si les différents logiciels de Redaction´ nos ordinateurs vont réussir à franchir ´ When this issue appears we will be just Education: Edward Barbeau less than two months away from the le pas, a accaparé l’attention de tous et [email protected] second millenium. It will, indeed, be a éclipsé le travail des savants et des Reunions´ : Monique Bouchard quite exciting to witness the transition médias à évaluer les exploits de la sci- [email protected] from one millenium to another. ence au tournant du siècle et à définir Recherche : Noriko Yui; The widespread concern, known as des directions d’avenir en ce qui a trait James D. Lewis the Y2K problem, whether the various à diverses disciplines. [email protected] software in our computers would make Une recherche du Web n’a révélé Assistante alar` edaction´ the transition smoothly has overshad- aucun article ni livre sur la con- Caroline Baskerville owed the attention of scientists and the trepartie mathématique de ce prob- media in assessing the achievements of lème. Un périodique intitulé History Note aux auteurs : indiquer la section the sciences during the waning century Today consacre son numéro de novem- choisie pour votre article et le faire par- and in delineating future directions in bre 1996 à ce sujet et présente une venir aux Notes de la SMC a` l’adresse various disciplines. série d’articles intéressants dont l’un postale ou de courriel ci-dessous : A search on the Web reveals no ar- porte sur l’astronomie et un autre, sur Societ´ e´ mathematique´ du Canada ticles nor books written on the mathe- l’énergie. Un numéro récent de Math- 577, rue King Edward matical counterpart of this problem. A ematical Intelligencer comporte un ar- C. P. 450, Succursale A journal called History Today devoted ticle humoristique sur la façon dont Ottawa, Ontario, Canada K1N 6N5 its November 1996 issue to a series on découvrira et fera la démonstration Tel´ ephone´ : (613) 562-5702 of interesting articles, of which one is de nouveaux théorèmes par ordinateur Tel´ ecopieur´ : (613) 565-1539 about astronomy and another one on dans cinquante ans. On fait également courriel : [email protected] energy. A recent issue of the Mathe- mention dans le numéro de juin 1998 Site Web : www.smc.math.ca matical Intelligencer has a humorous du Bulletin de l’UMI de la parution article on how theorems would be dis- prochaine du livre Mathematics Tomor- ´ Les Notes, les redacteurs et la SMC ne covered and proved by computers some row, sous la direction de V. Arnold ˆ peuvent etre tenus responsables des opin- fifty years hence. There is a report in (président), M. Atiyah, P. Lax et B. ´ ions exprimees par les auteurs. Les the Bulletin of the IMU, June 1998 is- Mazur. pour célébrer le tournant du ´ fichiers d’option de sytle utilises pour la sue, that the IMU is publishing a book, siècle. Ce livre rassemble des arti- production de ce volume sont une version Mathematics Tomorrow, edited by V. cles d’éminents mathématiciens sur la ´ modifiee des fichiers conçus par Water- Arnold (chair), M. Atiyah, P. Lax and façon dont ils voient l’état actuel des c loo Maple Software, 1994, 1995. B. Mazur, to celebrate the turn of the mathématiques, ses principaux prob- century, with articles from prominent ISSN : 1193-9273 lèmes et ses perspectives d’avenir au mathematicians on how they see the siècle prochain. c Societ´ e´ mathematique´ du Canada present state of mathematics, its main 1999 problems and prospects for the coming J’attends avec plaisir tout commen- century. taire et toute réflexion à ces propos.

2 NOTES de la SMC NOVEMBER/NOVEMBRE

A Canadian “Mathematics and Careers” Resource? Morris Orzech, Queen’s University

During my tenure as chair of the CMS to clarify what is available, whether the mathematical sciences. Periodi- Education Committee, I have had con- more needs to be done, and if so, how to cally AMS and SIAM feature the pro- versations and correspondence with bring ideas and relevant work already files of individuals who have pursued about twenty people concerning advis- done or in progress to fruition. a variety of careers. You are invited ing students who ask us how to in- 101 Careers in Mathematics could to read their profiles to learn why they clude career considerations in decid- itself conceivably provide “Canadian made a particular career choice, what ing whether to study mathematics, or in content” our students could relate to they enjoy about their position, and choosing which mathematics courses their situation. Andrew Sterret tells me how their careers have developed over to take. About a year ago I posted a that in revising the book he is willing time. Many include tips on what non- message on the CMATH-Llist in which to include profiles of appropriate Cana- academic employers are looking for in I mentioned a book that we at Queen’s dians, and will gladly receive sugges- a job candidate. You are also invited often lend to students who approach us tions for individuals he should consider to submit questions to a forum made with such questions. The book, 101 contacting. He needs the profiles by up of the mathematicians currently fea- Careers in Mathematics, is edited by January 1, 2000. He can be contacted tured. Current profiles were posted Andrew Sterret, and published by the through the MAA (e.g., by e-mail to April 1999. MAA. Several people responded, ei- [email protected]). “Youcan search the archives by key ther asking for additional information To what other resources can we word, employment sector or degree and or mentioning that they were pleased to guide students who want information access the profiles, forums and applica- know about the existence this resource. about careers that use mathematics? tions of all mathematicians currently or In my CMATH-L posting I stated There is a web site associated to the previously profiled in the Mathematical that the book “....presents photographs U.S. National Academy of Sciences, Careers Bulletin Board.” and profiles of people in a wide va- and sponsored by the Sloan Founda- Career Information in the Mathe- riety of occupations, who along the tion, called the Career Planning Cen- matical Sciences: A Resource Guide way studied a mathematical science. ter for Beginning Scientists and En- is a booklet published under auspices It lacks a Canadian perspective that gineers. It bills itself as “the ‘one of the Conference Board of the Math- students sometimes look for, but they stop shopping’ location for job open- ematical Sciences. It provides a list seem to enjoy perusing the book de- ings and the guidance and information of publications that might be of in- spite this.” needed to make decisions about edu- terest to students and parents. This Consideration of a Canadian per- cation and career choices.” It works free booklet is available from the spective is the driver for this note. Sev- through a (no-charge) registration sys- MAA, and a web-based, shortened eral CMS members have told me that tem. The self-description on the site version of the resource list is pro- our community needs a careers infor- reads: vided by Mary Washington College mation or careers advice resource that “Registrants come to the site: Out at http://departments.mwc.edu/math/ reflects our Canadian environment. I of general interest; Seeking Employ- www/cpubl.htm. tend to agree, but I am not certain ees; Seeking Employment/ Postdoctor- At http://www.yorku.ca/admin/ ca- what elements would provide such a als/ internships; or Seeking Guidance. reers/index.shtml, York University Ca- perspective, and student comments on The discipline areas from which reer Services provides a combina- the issue are too diffuse to provide an registrants come include ‘Physical and tion of campus-based and publicly- answer. I don’t know whether these Sciences and Mathematics.’ The site’s available links and references that are elements should suffuse a careers re- URL is http://www2.nas.edu/cpc/ .” not discipline-specific, but that do con- source "from the ground up" or could The Sloan Foundation also nect with Canadian resources, such as be provided as add-ons to existing re- provides partial funding for a Canadian government sites. sources. It has been suggested to me site sponsored jointly by the When students ask us about ca- that the CMS Education Committee AMS, the MAA and SIAM, at reers and mathematics they may not be should provide a careers resource, or http://www.ams.org/careers/home.html. yet considering graduate work, but it at least instigate its development. After This is a quote from that site: doesn’t hurt for them (and for us) to thinking about this suggestion, and dis- “The AMS-SIAM Mathematics know that undergraduate work in math- cussing it within the Education Com- Careers Bulletin Board is an inter- ematics can be excellent preparation mittee and outside, I conclude that a active service that informs students for a wide range of professional gradu- more broadly-based dialogue is needed about nonacademic career choices in ate work. In recent years organizations

3 NOVEMBER/NOVEMBRE CMS NOTES such as the AMS, MER and SIAM graduate mathematics choices to career experience. And of course, it is good have tried to promote development plans or aspirations. My impression is for the health of our courses if we can of professional Master’s degree pro- that I meet more students now than I provide honest information that sup- grammes in mathematics. An account did ten or twenty years ago who are ports students’ interest in taking math- of a November 1998 workshop high- worried about how their academic work ematics courses provided they are not lighting such programs can be found will mesh with a job or career, even thereby doing themselves a career dis- at http://www.math.uic.edu/MER/ when they are uncertain about what job service. news.html and links from there lead or career they are aiming for. Besides I hope people will have things to to information about specific pro- simply wanting to help students who say on the issues raised in this article. fessional programs open to students ask, I have other rationales for tak- I would be happy to receive comments whose mathematics backgrounds range ing their questions seriously. There directly, or to see them posted on the from moderate to substantial. is some evidence that vocational rel- new Camel area for mathematics edu- It is difficult to judge the signifi- evance is among the factors that lead cation discussion. cance of the advice we give students to students learning better, and to their who ask about connecting their under- reflecting positively on their academic

Problem Solving – A Deﬁnitive Strategy Book Book Review by Edward J. Barbeau, University of Toronto

augmented or supplanted by prob- But except for Polya’s early book, there Paul Zeitz, The art and craft of lems sections in several journals, in- was little guidance in print for students problem solving cluding our own Crux Mathematico- who needed to learn the tricks of the John Wiley and Sons, Inc., 1999 rum with Mathematical Mayhem, and trade and develop systematically their xii + 334 pages by competitions such as the Putnam natural ingenuity. One early attempt (1938), American High School Math- was the Tool Chest in the CMS series Mathematical progress in the twen- ematics Examination (1950), Water- 1001 Problems in High School Mathe- tieth century has been measured by loo Descartes Competition (1968) and matics, now published as [i]; this was the creation of sophisticated fields and the Canadian Mathematical Olympiad followed by an expanded Australian techniques that have deepened signifi- (1969). The International Mathemati- Tool Chest [6]. Anthony Gardiner [4] cantly our understanding of mathemat- cal Olympiad (1959) continued a well- in the UK and Alexander Soifer [11] in ical structure. However, less conspic- established tradition in Eastern Europe; the US moved beyond merely catalogu- uously, many of our colleagues have it now involves over 80 countries and ing problems and solutions towards a been creating or discovering mathemat- has inspired an explosion of national coaching role. ical gems, elegant problems with the olympiads across the globe. Paul Zeitz has now provided a sole purpose of puzzling and delighting This has created a “market” for new definitive strategy book for students the student or amateur. While the tra- problems and for student preparation preparing for competitions. Unlike its dition of mathematicians posing chal- books. Until forty years ago, problems predecessors, it gives both a compre- lenges to one another goes back half books were scarce (see, for example, hensive coverage of necessary math- a millennium, the past two centuries [3]). There was [8] for university stu- ematical background and systematic have seen the appearance of problems dents in the original German edition, practical advice on finding and writing in journals and questions on examina- and the groundbreaking book How to up solutions to problems. The author tions, such as the Tripos, specifically solve it [7]. Then appeared collections “had a problem solver’s education” at designed to test the mettle of putative of problems from various competitions Stuyvesant High School in New York mathematicians. along with solutions, and eventually the City, was a member of the first USA In the North America, for much first (and so far only) volume in an am- team in the International Mathemati- of the century, the American Math- bitious project to collect in one place cal Olympiad, has coached several re- ematical Monthly along with certain problems appearing in prominent jour- cent USA teams in the IMO and is cur- university and public examinations, nals [9]. Ross Honsberger, in a series rently a professor at the University of such as the Ontario Problems Pa- of Mathematical Association of Amer- San Francisco. While this book is writ- per, have carried most of the bur- ica books, presented problems and so- ten for college students preparing for den. More recently, these have been lutions that were particularly elegant. the Putnam competition, it is equally

4 NOTES de la SMC NOVEMBER/NOVEMBRE valuable for high school students oper- ten taken from Putnam, IMO, AIME America, 1995 ting at the olympiad level and can be and other competition papers. Many [2] Arthur Engel, Problem-solving used profitably by fans of problem sec- problems are left for the reader; hints strategies. Springer, 1998 tions in journals. are provided for some of them, but there [3] Howard Eves & E.P.Starke (edi- A student successful in competi- is a web site for further information. tors), The Otto Dunkel Memorial Prob- tions needs not only natural talent and Why should you purchase this lem Book. Mathematical Association insight, but an appropriate psycholog- book? There is the pleasure of see- of America, 1957 ical demeanour, a solid mathematical ing elegant mathematics; some of the [4] A. Gardiner, The Mathematical background and an ability and willing- problems are ingenious and many so- Olympiad Handbook. Oxford, 1997 ness to rework ideas and make them in- lutions are delightful. There is a good [5] Loren C. Larson, Problem- telligible to a reader. All of these can cross-section of problems; even if some solving Through Problems. Springer, be enhanced by training, and this book of them are chestnuts, it is good to 1983 neglects none of them. The first half of have a reference for them and a place [6] A.W. Plank & N.H. Williams the book deals with the broader issues where students can discover them with- (editors), Mathematical Toolchest. of getting into a problem and deciding out having to rely on informal means Australian Mathematics Trust, 1996 what stategies and tactics to employ. of getting into the lore. The author [7] G. Polya,´ How to solve it. Zeitz discusses different forms of ar- explicitly addresses issues that prevent Princeton, 1945; Doubleday, 1957 guments, ways of reformulating prob- many students from operating at their [8] G. Polya´ & G. Szego,¨ Problems lems, and the exploitation of symmetry, peak level - how to approach problems, and theorems in analysis. (2 volumes) extreme cases, pigeonholes and invari- how to work with ideas, how to look af- Springer, 1972 ants. The second part focuses on back- ter significant details and how to write ground material in algebra, combina- up a solution. This book is useful for [9] Stanley Rabinowitz (editor), In- torics, number theory and calculus. anyone preparing students for a com- dex to Mathematical Problems 1980- Worked examples pervade the petition; it can be used as a checklist 1984. MathPro Press, Westford, MA, book. Sometimes the author walks and ready source of material, or can be 1992 the reader through initial investigations given to students themselves to work [10] Stanley Rabinowitz (editor), (p. 35, 267). Sometimes he shows through. Problems and Solutions from the Math- how vague evocative ideas can be ham- (The only misprint I found is in ematical Visitor 1887-1986 MathPro p−1 2 Press, Westford, MA mered into a solid argument (p. 112). the middle of page 277, where ( 2 ) p−1 2 [11] Alexander Soifer, Mathemat- Often, alternative approaches are com- should be ( 2 )! .) pared (p. 215). Sometimes he pauses ics as Problem Solving. Center for References to ensure that apparently obvious facts Excellence in Mathematics Education, are properly grounded (p, 122). Zeitz [1] Edward J. Barbeau, Murray Colorado Springs, CO tries to dissolve the mystery of getting S. Klamkin & William O.J. Moser, [12] Gabor´ J. Szekely´ (editor), a solution. The problems range from Five Hundred Mathematical Chal- Contests in Higher Mathematics. straightforward to intricate, and are of- lenges. Mathematical Association of Springer, 1996

(PRESIDENT–continued from page 1) ecutive Director, will participate, and discussion has taken place within the there will be a CMS sponsored recep- CMS, over the past year, about mem- tion at the meeting. The Departmen- bership renewal. We have roughly Notes, Graham Wright gave an ex- tal Chairs have, for many years, held a 925 members, mainly concentrated in tensive discussion of another student working luncheon at each CMS meet- Canadian Mathematics departments. It related innovation within the CMS, ing. This meeting is being held at the is a goal of the CMS to broaden this namely our emerging program of Math initiative of George Bluman (UBC) and membership so as to include a greater Camps. Herb Gaskill (Memorial). It represents cross section of both academics and Another development within the an interesting experiment in expanding non-academics who are involved in the mathematical community is the De- the level of interaction betwen depart- mathematical sciences. We have been partmental Chairs meeting which will ments and the CMS is delighted to sup- working diligently at this, in particular be hosted by the CRM in Montreal port and cooperate with this initiative. to recruit members from the business on the weekend of November 20-21. This year’s CMS membership drive community. Also, as part of our efforts Both I and Graham Wright, our Ex- is now underway. A great deal of to more effectively service students, we

5 NOVEMBER/NOVEMBRE CMS NOTES also plan to incorporate graduate stu- CMS members. The new AMS/CMS funding was provided by NSERC and dents within the CMS by offering them reciprocity will allow them to join both the three Institutes. The true index of free membership. the CMS and AMS for the same price success of the Congress will be the re- We are also, however, concerned as AMS membership costs. The secret search collaborations which evolve out with maintaining, and even expand- is to first join the CMS and then take of it. From all anecdotal evidence, the ing, our core membership. As the advantage of the reciprocity agreement CCC was very successful in this re- babyboomer demographic wave moves to join the AMS spect. A second CCC is being consid- through the academic community in the Finally, I might mention yet an- ered for Vancouver in summer 2001. next decade, the current group of math- other innovation: the first Canada- The President of NSERC, Tom Brzus- ematicians will be replaced by another China Congress (CCC) which took towski, attended the entire first day of generation. We want this group to be place in Beijing on August 23-28. The the Congress including a number of CMS members! We will be offering Congress involved 55 Canadian math- mathematical talks. three years free membership to new fac- ematicians and over 70 Chinese math- ulty in Canadian Mathematics Depart- ematicians and was intended to “jump- The dynamism of Canadian Mathe- ments. We also hope to attract a num- start” research relations between the matics over the past few years is clearly ber of Canadian mathematicans who two communities. The CMS was a still present, and the CMS is part of that are currently AMS members but not CCC sponsor although the Canadian pattern.

DU BUREAU DU PRESIDENT´

(see page 1 for the English version) (ISM) ainsi que par les deux réseaux de niveaux, à partir de l’école secondaire Notre prochaine réunion de la relations avec les entreprises, le RCM2 au deuxième cycle universitaire, con- SMC, la réunion d’hiver 1999, aura lieu et le MaTISC. Vous constatez que le stitue manifestement l’une des prin- du 11 au 13 décembre, à l’Université week-end sera intensif et fertile en ac- cipales préoccupations actuelles de la de Montréal. Cette réunion nous of- tivités, sans oublier l’intérêt touristique SMC. Dans son article paru dans les fre un vaste programme scientifique de de Montréal! J’espère avoir le plaisir NOTES d’octobre, Graham Wright onze sessions (Méthodes algébriques de vous y rencontrer tous. nous a expliqué en détails une autre in- et géométriques en équations dif- Le salon de l’emploi est une innovation de la SMC au profit des étudi- férentielles; Logique appliquée; Al- novation que nous espérons voir de- ants, c’est-à- dire notre programme de gèbre combinatoire; Représentations venir une activité courante aux réu- Camps mathématiques. des groupes et polynômes de Mac- nions de la SMC. Tous les éléments de Nous pouvons compter comme donald; Modélisation informatique et la communauté mathématique recon- autre réalisation importante au sein du mathématique; Histoire des mathéma- naissent combien ces forums de dif- milieu mathématique, la réunion des tiques; Génomique et génétique mathé- fusion du monde industriel et des af- directeurs de départements, organisée matique; Physique mathématique; Or- faires sont importants pour les étudi- par le CRM et qui aura lieu à Mon- dres, treillis et algèbre universelle; En- ants finissants au premier cycle et les tréal les 20 et 21 novembre prochains, seignement de l’algèbre linéaire; Sémi- étudiants de deuxième et troisième cy- à l’initiative de George Bluman (UBC) naire des étudiants de deuxième et cles. Voilà qui représente une autre et de Herb Gaskill (Memorial). Nous troisième cycles; Articles et travaux). sphère de collaboration entre la SMC y participerons tous deux, Graham Comme si ce n’était pas assez, il y aura et les trois Instituts mathématiques au Wright (notre directeur administratif) deux événements satellites : la journée Canada. Une nouvelle formule est en et moi-même et il y aura une récep- précédant la réunion, le 10 décembre, cours d’élaboration, où les Instituts (par tion commanditée par la SMC. Les le Centre de recherches mathématiques l’intermédiaire du MaTISC) et la SMC directeurs de départements mathéma- (CRM) organise un symposium d’un commanditeront conjointement ces sa- tiques tiennent depuis plusieurs an- jour pour célébrer son trentième an- lons de l’emploi. Un autre salon est nées un déjeuner de travail à chacune niversaire et ses nombreuses réalisa- déjà prévu au moment de la réunion des réunions de la SMC. Voilà une tions, tout particulièrement au cours de d’été à McMaster, avec, cette fois, le façon intéressante d’accroître encore la dernière décennie. Le lendemain de Fields Institute comme partenaire prin- l’interaction entre les divers départe- la réunion, le 14 décembre, aura lieu le cipal. ments et la SMC est heureuse d’y col- premier salon de l’emploi de la SMC, L’élaboration des ressources et de laborer. commandité par la SMC, le CRM, l’infrastructure nécessaire au soutien Le renouvellement de la cotisation l’Institut des sciences mathématiques de la formation mathématique à tous les à la SMC est maintenant lancé. Bien

6 NOTES de la SMC NOVEMBER/NOVEMBRE des choses ont été dites à la SMC monde de l’enseignement au cours des et plus de 70 collègues chinois. Ce sur ce renouvellement, au cours des dix prochaines années, le groupe actuel congrès servait de rampe de lancement dernières années. Nous avons environ de mathématiciens cédera la place à de nouvelles relations dans le domaine 925 membres, provenant principale- la génération montante. Nous voulons de la recherche entre ces deux mondes. ment des département de mathéma- que cette dernière se rallie massivement La SMC était l’un des commanditaires tiques d’universités canadiennes. La à la SMC. Nous offrirons donc trois ans du CCC, mais le financement canadien SMC poursuit l’objectif d’élargir ce d’adhésion gratuite aux nouveaux pro- provenait du CRSNG et des trois Insti- bassin pour englober tant des établisse- fesseurs, dans les divers départements tuts. Ce n’est qu’à l’aune des collabo- ments d’enseignement que d’autres de mathématiques au Canada. Nous rations qui en résulteront qu’on pourra qui, bien que non reliés à cet as- espérons également attirer un certain véritablement mesurer le succès de ce pect, touchent aux sciences mathé- nombre de mathématiciens canadiens congrès. De façon purement intuitive, matiques. Nous y avons travaillé actuellement membres de l’AMS, mais on peut tout de même déjà affirmer que avec diligence, en particulier pour re- non de la SMC. La nouvelle entente le CCC a remporté un vif succès. On cruter des membres du secteur des af- de réciprocité entre l’AMS et la SMC planifie déjà le prochain CCC pour l’été faires. De plus, toujours dans le but de leur permettra d’appartenir aux deux 2001, à Vancouver. Le président du desservir toujours mieux les étudiants, sociétés au seul prix de leur cotisation CRSNG, Tom Brzustowski, a passé la nous prévoyons inclure les étudiants de à l’AMS. Le secret, c’est de joindre les première journée au complet à ce con- deuxième et troisième cycles au sein de rangs de la SMC et ensuite, profiter de grès et a assisté à plusieurs conférences. la SMC, en leur offrant l’adhésion gra- l’entente de réciprocité pour adhérer à Le dynamisme affiché par les math- tuite. l’AMS. ématiques canadienne au cours des Cet aspect ne nous empêche pas Enfin, je voudrais souligner ici une quelques dernières années ne s’éteint de nous préoccuper de conserver et autre innovation : le premier Congrès manifestement pas et la SMC s’y intè- même d’accroître le nombre de mem- Canada-Chine (CCC) a eu lieu à Bei- gre parfaitement. bres reconnus. Au fil de l’évolution jing, du 23 au 28 août dernier. Y ont de la génération du baby-boom dans le participé 55 mathématiciens canadiens

AWARDS / PRIX

G de B Robinson Award Society’s publications and is named in l’université Princeton en 1977 et son honour of one of the founding editors of Ph. D. du MIT en 1981. Elle a reçu the Canadian Journal of Mathematics. deux bourses de recherche postdoc- Ranee Brylinski received her A.B. torales, l’une de la National Science degree from Princeton University in Foundation, l’autre de l’OTAN, ainsi 1977 and her Ph.D. from MIT in 1981. qu’une bourse de recherche de la She was awarded two postdoctoral fel- Sloan Foundation. Elle a enseigné lowships, from the NSF and NATO, à l’université Brown de 1982 à 1988, and also a Sloan Foundation Fellow- avant de passer à Penn State, où elle ship. She taught at Brown Univer- est actuellement professeure de mathé- sity from 1982-88 and then moved matiques et codirectrice du Center for to Penn State University where she Geometry and Mathematical Physics. is now Professor of Mathematics and Ses domaines de recherche sont la Co-director of the Center for Geom- géométrie, la théorie des représenta- tions et la physique mathématique. James Mingo (l) and Richard Kane (r) etry and Mathematical Physics. Her Elle a gagnee´ pour son article intitule´ present G de B Robinson Award to research interests are geometry, rep- “Quantization of the 4-dimensional Ranee Brylinski resentation theory and mathematical physics. She won the award for her ar- nilpotent orbit of SL(3, R).” The 3rd G de B Robinson Award ticle in the Canadian Journal of Math- 1999 CMS Distinguished ematics entitled “Quantization of the was presented in St. John’s, New- Service Awards foundland at the June meeting of the 4-dimensional nilpotent orbit of SL(3, Society to Ranee Brylinski of Pennsyl- R).” The 1999 CMS Distinguished Ser- vania State University. This award is Ranee Brylinski a obtenu son vice Awards were presented in St. for an outstanding paper in one of the diplôme de premier cycle de John’s, Newfoundland at the June

7 NOVEMBER/NOVEMBRE CMS NOTES meeting of the Society to Michael Doob deux dernières décennies, il a occupé typesetting world for his book A Gen- of the University of Manitoba and divers postes de rédaction à la SMC. tle Introduction to TeX and, more re- Srinivasa Swaminathan of Dalhousie De par leur nature, ces fonctions ne cently, he has written TeX (starting from University. procurent peut-être pas une très grande [1]). He serves on the Board of the TeX visibilité, mais elles sont néanmoins Users’ Group (a world-wide organiza- extrêmement importantes. Rédacteur tion of TeX users) and has given many technique du Bulletin de 1979 à 1990, workshops on TeX use. il a occupé simultanément les mêmes His TeX expertise, along with his fonctions au Journal de 1986 à 1990. strong attention to detail and accuracy, De 1991 à 1996, il a été chef de pro- has enabled the CMS to establish, and duction du Bulletin et du Journal, et il maintain, cost effective publications of est maintenant rédacteur en chef des very high quality. It has also enabled Notes de la SMC depuis 1994. Il a the CMS to play a major role in the également fait partie du comité organ- publication of its journals and thereby isateur des Réunions de la SMC tenues reap the ﬁnancial rewards. His blend S. Swaminathan (l) and Michael Doob à l’université Dalhousie en 1990 et en of skills have been crucial, and really (r) accept award from CMS 1981. L’un des piliers du secteur des irreplaceable, in achieving all of this. Preseident Richard Kane publications de la Société des vingt Michael Doob est membre de la So- dernières années, il est reconnu parmi Srinivasa Swaminathan joined ciété mathématique du Canada depuis nos membres pour son dévouement et the Canadian Mathematical Society in 1971. Son travail à la SMC a tou- pour la générosité avec laquelle il se 1980. In the past two decades he has jours été lié aux publications et autres consacre à toutes ses tâches. served in an editorial role for the CMS domaines connexes. Il a fait par- in numerous capacities. These edito- Au nombre de ses autres réali- tie du Comité des publications et du rial roles are, of their nature, relatively sations, mentionnons la coanimation Comité des services électroniques, et less visible but extremely important. d’une émission de radio (1976-1982) il est actuellement membre du comité He was Technical Editor of the Bul- et de “Panorama” (1982-1990), une spécial chargé d’examiner les services letin during 1979-1990. During 1986- très populaire série télévisée portant électroniques et Camel. Depuis 1990, 90 this role was expanded to include sur divers aspects culturels de la il occupe les fonctions de rédacteur being Technical Editor of the Journal vie sur le sous-continent indien. Il TeX du Bulletin et du Journal. À as well. During the period 1991-96 he donne régulièrement des conférences ce titre, sa contribution à la SMC est served as Production Editor of the Bul- publiques et parle souvent de ses « dix exceptionnelle. Il est l’un des émi- letin and Journal. Since 1994 he has équations qui ont changé le monde ». Il nents spécialistes du langage TeX en been an Editor in Chief of the CMS a de plus réalisé un document vidéo sur Amérique du Nord et il est connu, dans Notes. He also served as one of the le sujet pour le Conseil des provinces le milieu de la typographie mathéma- organizers for the CMS meetings held atlantiques pour les sciences. La SMC tique, pour son livre A Gentle Intro- at Dalhousie in 1990 and 1981. He has est heureuse de remettre son Prix pour duction to TeX. Plus récemment, il a been a mainstay of CMS publications service méritoire au professeur Swami- aussi publié un ouvrage intitulé TeX over the past two decades. He is of- nathan. (starting from [1]). Il est membre du ten cited by others for the dedication, Michael Doob has been a member conseil d’administration d’une associ- and even generosity, with which he has of the Canadian Mathematical Society ation mondiale d’utilisateurs de TeX carried out all of the above tasks. since 1971. The focus of his activity et il a donné de nombreux ateliers sur He co-hosted a radio program within the CMS has always been Pub- l’utilisation de ce langage. (1976-1982) and a very successful lications and associated areas. He has Sa grande expérience du langage television program “Panorama” (1982- sat on both the Publications and Elec- TeX, alliée à son souci du détail et de 1990) dealing with cultural aspects of tronic Services Committees and is cur- la précision, ont permis à la SMC de life in the Indian subcontinent. He is rently on the ad hoc committee which concevoir et de conserver des publica- a public speaker and often lectures on is reviewing Electronic Services and tions rentables de très grande qualité, his “Ten Equations That Changed The Camel. Since 1990 he has served as ainsi que de jouer un rôle clé dans la World.” He also made a video tape of TeX Editor of the Bulletin and Journal. publication de ses revues et, par con- this for APICS. He has made an outstanding contribu- séquent, d’en récolter les avantages ﬁ- Srinivasa Swaminathan est devenu tion to the CMS in this role. He is one nanciers. À cet égard, son bagage de membre de la Société mathématique of North America’s leading experts in connaissances a toujours été primordial du Canada en 1980. Au cours des TeX. He is known in the mathematical et indispensable pour la Société.

8 NOTES de la SMC NOVEMBER/NOVEMBRE

CRM/Fields Institute Prize Toronto. The prize recognizes excep- semantics, parallel computation and es- tional achievement in the mathematical pecially the interaction between login sciences, the main selection criterion and complexity theory. He has au- being excellence in research. thored over 50 research papers, in- Stephen Cook was born in Buf- cluding his famous 1971 paper, “The falo, New York. He received his BSc Complexity of Theorem Proving Pro- degree from the University of Michi- cedures,” which introduced the theory gan in 1961 and his SM and PhD de- of NP completeness. Dr. Cook was grees from Harvard University in 1962 the 1982 recipient of the Turing award, and 1966 respectively. From 1966 to and was awarded a Steacie Fellowship 1970 he was an Assistant Professor at in 1977 and a Killam Research Fellow- the University of California, Berkeley. ship in 1982. He received computer He joined the University of Toronto in science teaching awards in 1989 and 1970 as an Associate Professor and was 1995. He is a fellow of the Royal Soci- Stephen Cook promoted to a Professor in 1975. ety of Canada and was elected to mem- The 1999 CRM / Fields In- Dr. Cook’s principal research area bership in the National Academy of stitute Prize has been awarded to is computational complexity, with ex- Sciences (United States) and the Amer- Stephen A. Cook, of the University of cursions into programming language ican Academy of Arts and Sciences.

A Note of Thanks / Une Note de Remerciement Richard Kane, University of Western Ontario

The success of the CMS is due to many people: dedicated La SMC doit son succes` a` de nombreuses personnes : son staff, sponsors and donors, and our members. We would personnel devou´ e,´ ses commanditaires et donateurs, et ses like to take this opportunity to thank all of our supporters. membres. Nous aimerions profiter de l’occasion pour re- First of all, more than one in five of our membership (cur- mercier tous ceux et celles qui nous appuient. D’abord, rently numbering 925) are active volunteers in any given year. mentionnons que pres` d’un de nos membres sur cinq (la There are those who serve on the Board, on committees and Societ´ e´ en compte actuellement 925) sont des ben´ evoles´ ac- editorial boards, and those who organise conferences, ed- tifs. Certains sont membre du conseil d’administration, de ucational events and the various competitions for students. comites´ de la SMC ou de comites´ de redaction,´ d’autres The names of these people can be found at the web sites organisent des Reunions,´ des activites´ educatives´ ou l’un http://www.camel.math.ca/CMS/Docs/commlist.html (com- de nos divers concours mathematiques.´ On pourra con- mittee and board memberships) and sulter la liste de ces personnes aux pages Web suivantes : http://www.camel.math.ca/CMS/Events/ (conference organi- http://www.camel.math.ca/CMS/Docs/commlist.html (mem- zation). bres de comites´ et du conseil) et We would also like to thank the many donors and sponsors http://www.camel.math.ca/CMS/Events/ (organisation des given below who have provided financial support to the CMS Reunions).´ during the period July 1, 1998 to August 31, 1999. Nous aimerions egalement´ remercier les nombreux dona- Funding was received both to support the ongoing activ- teurs et commanditaires qui nous ont appuye´ financierement` ities of the Society and to build our endowed funds. The au cours de la derniere` annee,´ soit du 1er juillet 1998 au 31 CMS Endowment Fund has now reached its initial goal of 1.5 août 1999. million dollars and, in 1999, the income from this endowment will fund the first annual competition to provide grants to sup- Nous avons reçu du financement pour les activites´ port a variety of mathematical activities across the country. courantes de la Societ´ e´ et pour alimenter nos fonds de dota- The Mathematical Olympiads Fund (now at almost $180,000) tion. Le fonds de dotation de la SMC a maintenant atteint which supports competitions and activities related to the se- l’objectif initial de 1,5 million de dollars. En 1999, les revenus lection and training of Canada’s International Mathematics tires´ de ce fonds financeront le premier concours annuel où Olympiad team, continues to grow. As these funds increase, seront decern´ ees´ des bourses utilisees´ dans le cadre de di- so does our long-term ability to provide much-needed support verses activites´ mathematiques´ aux quatre coins du pays. Le to mathematics in Canada. fonds pour les olympiades mathematiques´ (qui atteint presque

9 NOVEMBER/NOVEMBRE CMS NOTES les 180 000 $), servant a` financer les activites´ et les concours ments / Societ´ es,´ fondations, instituts et gouvernements : associes´ alas` election´ et a` la formation de l’equipe´ canadi- Bank of Montreal, Becton-Dickinson Canada Inc., Canada enne a` l’OIM, continue a` croître lui aussi. Plus ces fonds Life Insurance Company, Celestica International Inc., Cen- augmentent, plus nous serons en mesure d’offrir un soutien tre de Recherches Mathematiques,´ the Centre for Education a` long terme et necessaire´ a` la communaute´ mathematique´ in Mathematics and Computing, Citibank, The Fields Insti- canadienne. tute, John Wiley & Sons Canada Ltd., Imperial Oil Char- Individuals / Individus : Janos Aczel (Waterloo, itable Foundation, Government of Alberta, Government of Ontario), Brian R. Alspach (Burnaby, British Columbia), New Brunswick, Government of Newfoundland, Govern- Edward J. Barbeau (Toronto, Ontario), Howard E. Bell ment of Nova Scotia, Government of Ontario, Gouvernement (St. Catharines, Ontario), J.L. Berggren (Burnaby, British de Quebec,´ Government of Saskatchewan, Industry Canada, Columbia), F. Peter Cass (Richmond, British Columbia), Carl Nelson Thomson Learning, Bank of Nova Scotia, Pacific In- Faith (Princeton, New Jersey), Peter Fillmore (Halifax, Nova stitute for the Mathematical Sciences, Royal Bank of Canada, Scotia), K.O. Geddes (Waterloo, Ontario), Edgar G. Goodaire Samuel Beatty Fund, Springer Verlag, Sun Life Assurance (St. John’s, Newfoundland), Katherine Heinrich (Burn- Company of Canada, Waterloo Maple, Waterloo Mathemat- aby, British Columbia), Richard Hoshino (Marhan, Ontario), ics Foundation. Wilfred Kaplan (Ann Arbor, Michigan), Spiros Karigiannis (Cambridge, Massachusetts), Hans Kummer (Kingston, On- Universities and Schools / Universites´ et ecoles´ : Eric tario), Maung Min-Oo (Hamilton, Ontario), Bruce Shawyer Hamber Secondary School, Upper Canada College, Univer- (St. John’s, Newfoundland), Rafat Nabi Siddiqi (Kuwait), sity of British Columbia, University of Calgary, Dalhousie Elmer M.. Tory (Sackville, New Brunswick), E. R. Williams University, University of Manitoba, McMaster University, (St John’s, Newfoundland), T.W. Alan Wong (Markham, On- Memorial University of Newfoundland, University of New tario), Graham P.Wright (Ottawa, Ontario) and 85 other mem- Brunswick, University of Ottawa, Simon Fraser University, bers and donors who chose to remain anonymous. University of Toronto, University of Waterloo, University of Corporations, Foundations, Institutes and Govern- Western Ontario.

FROM THE INSTITUTES

New director for the CRM physics, and have covered such topics ship of both Francis Clarke and Luc as magnetic monopoles, instantons and Vinet, the CRM saw a tremendous The CRM has announced the appoint- their moduli, integrable systems and al- growth in the scope of its activities; it ment of Jacques Hurtubise as its new gebraic geometry, and moduli of vector is indeed a challenge for me to main- director, following the recent resigna- bundles. He was the Society’s Coxeter- tain the pace. One of the advantages tion of Luc Vinet. James Lecturer in 1993, and gave one of running a national centre, though, is of the plenary lectures at the AMS An- that there is a whole community to sup- Hurtubise received his B.A. from nual Meeting in 1994. port it with its ideas and also its partic- the Universite´ de Montreal´ in 1978, ipation. Both are very much welcome. He has been an associate member then went to Oxford on a Rhodes schol- Speaking of welcomes, we are celebrat- of the CRM since 1984, serving as arship, obtaining his D.Phil. there in ing this fall our 30th anniversary, with a deputy director in 1998-99. He brings 1982, under the supervision of Nigel one-day conference on December 10th, to his position considerable knowledge Hitchin. His ﬁrst academic appoint- just prior to the CMS meeting in Mon- of the Canadian mathematical comment was at the UniversiteduQu´ ebec´ treal. You are all cordially invited." a` Montreal,´ where he taught from 1982 munity, having amongst other things to 1987. This was followed by a year served on the NSERC grant selec- ******* tion commmittee for mathematics, the at the Institute for Advanced Study in Jacques Hurtubise a obtenu son NSERC-Mathematics liaison commit- Princeton, after which he took up a po- B.A. a` l’Universite´ de Montreal´ en tee, several FCAR grant selection com- sition at McGill University. He was 1978, et son doctorat a` Oxford, ou` mittees, as well as the Steacie prize a visiting professor at Stanford during il etait´ boursier Rhodes, en 1982 committee. He has just ﬁnished a the spring of 1992. sous la direction de Nigel Hitchin. term as the Society’s vice-president for His research interests lie at the Son premier poste academique´ etait´ a` Quebec.´ crossroads of differential geometry, al- l’UniversiteduQu´ ebec´ a` Montreal,´ ou` gebraic geometry and mathematical Jacques says, “Under the leader- il a enseigne´ de 1982 a` 1987. Ceci

10 NOTES de la SMC NOVEMBER/NOVEMBRE fut suivi d’une annee´ a` l’Institute for Report on the First China-Canada based mathematics. The wide range Advanced Study de Princeton. apres` Congress of Mathematical Sciences of talks by outstanding researchers was laquelle il est devenu professeur a` August 23 - 27, 1999 also an excellent opportunity for sci- l’Universite´ McGill. Il a et´ e´ professeur Tsinghua University entists from both countries to observe visiteur a` Stanford au printemps de Beijing, China their compatriots expositing on deep 1992. results from disparate fields of math- Ses inter´ etsˆ de recherche se On August 23 in Beijing, China, Pro- ematics. All presentations were in situent au carrefour de la geom´ etrie´ fessor Dayong Cai of Tsinghua Uni- English, with the Chinese researchers differentielle,´ de la geom´ etrie´ versity declared open the first China- impressing their Canadian visitors on algebrique,´ et de la mathematique´ Canada Congress of Mathematical Sci- their command of the language. In ad- physique, et ont porte´ sur des sujets tels ences, thereby initiating four days of in- dition to the one hundred and twenty que les monopoles magnetiques,´ les intensive meetings and presentations by established researchers participating in stantons et leurs modules, les systemes` researchers from the two countries on the congress, a large number of grad- integrables´ et la geom´ etrie´ algebrique,´ recent advances in mathematics and its uate students from several universities et les espaces de modules de fibres´ applications. The Canadian delega- in the region were in attendance. tion of some sixty mathematical sci- vectoriels. Il a et´ e´ le conferencier´ Over the course of the congress, a entists was headed by Thomas Brzus- Coxeter-James de la Societ´ e´ en 1993, et number of meetings were held between towski, President of the Natural Sci- a donne´ une des conferences´ pleni´ eres` the heads of the Chinese and Canadian ences and Engineering Research Coun- alar` eunion´ annuelle de l’AMS en mathematics societies and research in- cil of Canada, and organized through 1994. stitutes, concluding with agreements the joint efforts of the President of Il est membre associeduCRM´ in principle on a range of issues con- the Canadian Mathematical Society, depuis 1984, et a et´ e´ directeur ad- cerning future joint activities in the Richard Kane, and the Directors of joint en 1998-99. Il apporte a` son mathematical sciences, including im- Canada’s three mathematics research poste une connaissance considerable´ portant understandings on the train- institutes, Jacques Hurtubise of the de la communaute´ mathematique´ cana- ing of graduate students. Most sig- Centre de recherches mathematiques, dienne, ayant et´ e´ entre autres mem- nificantly, the second China-Canada Donald Dawson of the Fields Institute, bre du comitedes´ election´ des subven- Congress has been announced for the and Nassif Ghoussoub of the Pacific In- tions du CRSNG en mathematiques,´ summer of 2001, to be held in Van- stitute for the Mathematical Sciences. le comite´ de liaison mathematiques-´ couver, Canada. The level of activity CRSNG, plusieurs comite´ de subven- A similar number of Chinese math- demonstrated by the congress has al- tion FCAR, ainsi que le jury du prix ematicians was led by Professor Zhang ready led to funding successes for the Steacie. Il vient de terminer un mandat Cunhao, President of the National Sci- Chinese research institutes. de vice-president´ de la Societ´ e´ pour le ence Foundation of China and K. C. In addition to the excellent hospi- Quebec.´ Chang, President of the Chinese Math- tality extended by the local organiz- Jacques a dit, “Sous la direction de ematical Society, with the organization provided by the Directors of the ers, his Excellency Harold Balloch, Francis Clarke et de Luc Vinet, le CRM Canadian Ambassador to China, along a connu une croissance extraordinaire three Mathematics Institutes of the Universities of Nankai, Peking and with the President of the Canadian de la gamme de ses activites,´ et c’est un Mathematical Society and the Direc- grand defi´ pour moi de maintenir ce ry- Tsinghua, Professors Xingwei Zhou, Lizhong Peng, and Dayong Cai. Brzus- tors of Canada’s three mathematics re- thme. Par contre, ilyaungrand avan- search institutes, hosted a reception at tage ag` erer´ un centre national, qui est towski and Ghoussoub spoke on behalf of the Canadian delegation, both em- the Canadian Embassy in honour of celui de pouvoir faire appel a` toute une Brzustowski and Zhang, Presidents of communaute´ qui l’appuie de ses idees´ phasizing the importance of a close collaboration between the two countries NSERC of Canada and the NSF of et de sa participation. Les deux seront China, respectively. toujours bienvenus; et puisque l’on on the scientific and mathematical lev- parle de bienvenue, le CRM cel´ ebre` els. After four rich, fulfilling days of cet automne son trentieme` anniversaire Twelve plenary talks were pre- talks, discussion, and collaboration, avec une conference´ d’une journee,´ le sented by top researchers from the two Ghoussoub declared the conference 10 decembre,´ la veille de la reunion´ de countries, followed by over one hun- closed. The Canadians’ voyage con- la SMC a` Montreal.´ Vous y etesˆ tous dred presentations in twelve scientific cluded with a tour around the Forbid- cordialement invites.”´ sessions in areas of mathematics rang- den City at the centre of Beijing, fol- ing from applied mathematics, number lowed by a brisk march up a steep sec- theory, and probability, to technology- tion of the Great Wall of China. The

11 NOVEMBER/NOVEMBRE CMS NOTES last ride to the airport was enriched by Crainic, Teodor (Universite de Rolfsen, Dale (UBC), Ryan, Patrick lively, impromptu lessons by top math- Montreal) Shanghai Public Transporta- (McMaster), Shen Yibing (Zhejiang ematicians to their cabbies on collo- tion Project University), Song Hongzao (Henan quial English, appropriate for drivers Technology-based Mathematics University), Tang Zizhou (Tsinghua fighting their way through Beijing’s Laflamme, Claude (University of University), Wang Changping (Peking dense midday traffic. Calgary), Lamoureux, Michael (Uni- University), Wang Hong (West-North A summary of sessions and presen- versity of Calgary), Lin Xiaoyan (Ts- Tech University), Zhang Weiping tors follows: inghua University), Scharein, Rob (Nankai University), Zhang Xingru (UBC), Taylor, Keith (University of (SUNY at Buffalo). PLENARY TALKS: Saskatchewan). Probability Theory Number Theory, Algebraic Theory Chen Mufa (Beijing Normal Uni- Arthur, James (University of Toronto) Cai Maocheng (Academic Sinica), versity), Gong Guanglu (Tsinghua Harmonic analysis and group repre- Jia Chaohua (Academic Sinica), Qui University), Liang Zhongxia (Ts- sentations. Derong (Tsinghua University), Wang inghua University), Quastel, Jeremy Dawson, Donald (Fields Institute) Su- Fuzheng (Peking University), Wang (University of Toronto), Salisbury, perprocesses: from building blocks to Juping (Fudan University), Zhang Tom (York), Schmuland, Byron (Uni- universal classes. Xianke (Tsinghua University), Zhao versity of Alberta), Walsh, John Fang Fuquan (Nankai University) Re- Chunlai (Peking University). (UBC), Wang Yonjin (Nankai Univer- cent progress. sity). Friedlander, John (University of Combinatorical Optimization Computational Mathematics Toronto) Prime values of polynomi- Alspach, Brian (SFU), Goddyn, Brunner, Hermann (Memorial Uni- als. Luis (SFU), Haxell, Penny (Water- versity), Cao Zhihao (Fudan Univer- Gang Tian (Peking University) Self- loo), Heinrich, Katherine (SFU), Xu sity), Feng Shui (McMaster), Fortin, dual instantons and calibrated sub- Mingqao (Peking University), Wagner, Michel (Laval), He Zhinqing (East manifolds. David (Waterloo). China Tech Unversity), Hu Jianwei Han Houde (Tsinghua University) Ar- PDEs and Dynamical Systems (Nankai University), Huang Huaxiong tificial boundary condition methods for Blumen, George (UBC), Camp- (York), Wetton, Brian (UBC). problems in unbounded domains. bell, Sue Ann (Waterloo), Gauthier, Hong Jiaxing (Fudan University) Paul (Universite de Montreal), Ghous- Representation Theory and Mathe- Boundary value problem of isomet- soub, Nassif (UBC), Gui Chanfeng matical Physics ric embedding. (UBC), Jian Huaiyu (Tsinghua Uni- Broer, Bram (Universite de Mon- Hu Hesheng (Fudan University) Dar- versity), Jiang Meiyue (Peking Univer- treal), Carrell, Jim (UBC), Deng Shao- boux transformations in differential sity), Kamran, Nicky (McGill), Lang- qiang (Nankai University), Gu Cahao- geometry. ford, Bill (Fields Institute), Li Chen- hao (Fudan University), Kai Behrend Lalonde, Francois (UQAM) Dyman- zhi (Peking University), Li Jiayu (Aca- (UBC), Liu Xufeng (Peking Univer- ical systems and elliptic methods in demic Sinica), Li Tiecheng (Tsighua sity), Liu Zhangju (Peking Univer- topology: towards an L-infinity geom- University,) Liu Peidong (Peking Uni- sity), Pianzola, Arturo (University of etry. versity), Long Yiming (Nankai Uni- Alberta), Wang Zhengdong (Peking Ma Zhiming (Academic Sinica) Some versity), Ma Li (Tsinghua University), University), Zeng Yunbo (Tsinghua results on path spaces and loop spaces. Ruan Shigui (Dalhousie), Tang Yun University), Zhang Hechun (Tsinghua Shi Qingyun (Peking University) In- (Tsinghua University). University), Zhao Kaiming (Academic vertible integer transforms in image Differential Geometry and Topology Sinica), Zhou Mai (Nankai University). processing. Bland, John (University of Operator Algebras, Operator The- Tomczak-Jaegermann, Nicole (Univer- Toronto), Boyer, Steven (UQAM,) ory and Signal Processing sity of Alberta) From finite to infinite Campbell, Eddy (Queen’s), Chen, Choi, Man-Duen (University of dimensions in Geometric Functional Jungyi (UBC), Dong Yuxi (Zhejiang Toronto), Dean, Andrew (Fields In- Analysis. University), Duan Haibao (Peking Uni- stitute), Ding Ganggui (Nankai Uni- versity), Hurtubise, Jacques (McGill), versity), Elliott, George (University of Jiang Boju (Peking University), Kane, Toronto), Giordano, Thierry (Univer- SCIENTIFIC SESSIONS: Richard (UWO), Li Banghe (Academic sity of Ottawa), Gong Guihua (Fields Sinica), Li Haizhong (Tsinghua Uni- Institute), Guo Kunyu (Fudan Univer- Special Session on Industrial and Ap- versity), Ma Renyi (Tsinghua Univer- sity), Jiang Chunlan (Hubei University plied Mathematics sity), Qiu Duanfeng (Jilin University), Tech), Khalkhali, Massoud (UWO),

12 NOTES de la SMC NOVEMBER/NOVEMBRE

Luo Guiming (Tsinghua University), Canadian celebration is The Legacy of will give a banquet address. The pro- Mingo, James (Queen’s), Peirce, An- John Charles Fields symposium set for gramme features public lectures of in- thony (UBC), Peng Lizhong (Peking June 8 and 9, 2000, at the Royal Ontario terest to teachers and students of math- University), Zhou Xingwei (Nankai Museum and organised by the Fields ematics. Many events will attract University). Institute. The project will raise aware- leading mathematicians from abroad. Computational Mathematics and ness of the Canadian visionary and Other activities are aimed at young Numerical Analysis his exceptional legacy to the world of Canadians in hopes of inspiring them to Ascher, Uri (UBC), Bai Fengshan mathematics. As one of the original re- pursue higher studies in mathematics, (Tsinghua University), Bai Zhongzhi search mathematicians in Canada, John which will prepare them for rewarding (Academic Sinica), Li Zhiping (Peking Charles Fields established the world’s careers in the new millennium. University), Russell, Bob (SFU), Yang highest award for achievement in math- The symposium is closely coordi- Dinghui (Tsinghua University). ematics known internationally as the nated with the Joint Mathematical So- Fields Medal; often referred to as the cieties Meeting, June 10 to 13, 2000 in "Nobel Prize of Mathematics" and is Hamilton, which will unite the Cana- highly revered. dian Mathematical Society, the Cana- World Mathematical Year 2000: The symposium will include sci- dian Applied and Industrial Mathemat- SYMPOSIUM ON THE LEGACY entific and public lectures by some of ics Society, and four other important OF JOHN CHARLES FIELDS the Fields medallists, an historical lec- Canadian conferences in the mathemat- ture as well as a documentary on the ical sciences. The United Nations Educational life and times of John Charles Fields, The Fields medalists will be en- Scientific and Cultural Organisation his legacy and its impact through the couraged to extend their stay in Canada and the International Mathematical work of the Fields medallists. P-L. Li- before and after the symposium, to visit Union have declared the year 2000 to ons (Paris), Vaughan Jones (Berkeley), and work with leading Canadian re- be World Mathematical Year. Alain Connes (France), David Mum- searchers. Sponsors are being sought to The aim is to promote and raise the ford (Harvard) and Stephen Smale award visiting fellowships to talented public image of mathematics as a key (Berkeley/Hong Kong) are among the young mathematicians from develop- to social and economic development. recipients of the Fields Medal. This is ing countries so they can join the Cana- Countries around the world will be cel- the first attempt to bring some of this dian celebration, meet and work with ebrating achievements in the mathe- century’s leading thinkers together to Canadian and international mathemati- matical sciences and looking at math- explain their medal-winning work and cians, and take new insights home with ematical solutions to the challenges of its impact on the world. Sir Michael them. The symposium is being coordi- the 21st century. Across Canada, activ- Atiyah of Oxford University and Edin- nated with other Canadian WMY-2000 ities are being planned which will inte- burgh University, the only person with activities, including classroom projects grate these aims. A centerpiece of the both a Fields Medal and a knighthood, and museum events across the country.

CMS MEMBERSHIP ... ADHESION´ A` LA SMC ... The 2000 Membership Notices have Les avis d’adhesion´ 2000 etait´ postes.´ been mailed. Please renew your mem- S’il vous plaˆit renouveller votre bership before December 31st, 1999. adhesion´ avant le 31 decembre´ 1999.

13 NOVEMBER/NOVEMBRE CMS NOTES

CMS Winter 1999 Meeting - Institut des sciences mathematiques´ Renaissance - Hotelˆ du Parc - Laboratoire de combinatoire et d’informatique mathematique´ Montreal,´ Quebec´ - Network for Computing and Mathematical Modeling December 11 - 13, 1999 - The Fields Institute for Research in Mathematical Sciences - The Pacific Institute for the Mathematical Sciences. Fourth Announcement The CMS wishes to acknowledge the contribution of the members of the Meeting Committee for organizing this meeting Please refer to the Second and Third Announcements in the and presenting these exciting scientific, educational, and so- September and October issues of the CMS Notes for more cial programs. complete information on the scientific, education and social programmes. This announcement features an updated Meeting Committee timetable and any changes to the programmes previously announced. It also features the most updated listing of con- Meeting Director: Michel Delfour (Montreal)´ firmed speakers and their titles. The most up-to-date infor- Local Organizing Committee Chair: Veronique´ Hussin mation concerning the programmes, including scheduling, is (Montreal).´ available at the following world wide web address: Paul Arminjon, François Bergeron, Nantel Bergeron, George Bluman, Monique Bouchard (CMS ex-officio), Abraham http://www.camel.math.ca/CMS/Events/ Broer, Martin Goldstein, Michel Grundland, Lucien Had- dad, Pierre Hansen, Alexandra Haedrich (ISM), Joel Meeting registration forms, abstract forms, and hotel accom- Hillel, Jacques Hurtubise (CMS ex-officio), Jacqueline modation forms may be found in the September issue of the Klasa, François Lalonde, Gilbert Laporte, Benoˆıt Larose, CMS Notes and at our website. Sabin Lessard, Paul Libbrecht, Wendy MacCaull, Thomas Mattman, Angelo Mingarelli, Richard O’Lander, Ivo Rosen- berg, Christiane Rousseau, David Sankoff, Phil Scott, Ronald Programme Updates Sklar, Gordon Slade, Graham Wright (CMS ex-officio), Mike The Meeting Committee is pleased to welcome Abraham Zabrocki. Broer (Montreal) as co-organizer of the Graduate Student Seminar and Paul Arminjon (Montreal) as the organizer of Items also published with this announce- the Contributed Papers Session. Speakers have now been announced for the symposia on ment Orders, lattices and universal algebra and for Teaching of lin- Updated Timetable - block schedule ear algebra. Please refer to the updated listing of scheduled List of Scheduled Speakers and Titles speakers and their titles, found below. In the next issue of the CMS Notes Acknowledgements Fifth Announcement The support of the following organizations is gratefully ac- Updated Timetable - block schedule knowledged: Updated List of Scheduled Speakers and Titles - Centre de recherches mathematiques´

SPECIAL NOTICE!!

The Centre de recherches mathematiques´ invites all those attending the 1999 CMS Winter Meeting to join them in celebrating its 30th Birthday Party. The evening registration will be held during the reception to be held at the University of Montreal on Friday, December 10, 1999, beginning at 6:00 p.m. Come join the celebration and pick up your registration packages for the CMS Winter Meeting 1999 at the same time. For those who plan to attend this reception, please let us know by ﬁlling out a special registration form at www.CRM.UMontreal.CA. Additional information regarding the 30th anniversary programme and the evening’s events will also be available at the web site.

14 NOTES de la SMC NOVEMBER/NOVEMBRE

Reunion´ d’hiver de la SMC - Centre de recherches mathematiques´ - Institut des sciences mathematiques´ Renaissance Hotelˆ du Parc -Reseau´ de calcul et de modelisation´ mathematique´ Montreal´ (Quebec)´ - Laboratoire de combinatoire et d’informatique mathematique´ du 11 au 13 decembre,´ 1999 - The Fields Institute for Research in Mathematical Sciences Quatrieme` annonce - The Pacific Institute for the Mathematical Sciences La SMC tient a` remercier tous les membres du comitedeco-´ Veuillez consulter la deuxieme` et troisieme` annonce dans les ordination pour l’organisation de la reunion´ et des activites´ numeros´ de septembre et octobre des Notes de la SMC pour scientifiques, educationelles´ et sociales. obtenir de l’information detaill´ ee´ sur les programmes scientifique et pedagogique,´ et les activites´ sociales. La presente´ Comite´ de Coordination annonce contient l’horaire revis´ e´ et tous les changements aux programmes annonces´ prec´ edemment.´ Vous trouverez President´ et coordinateur : Michel Delfour (Montreal)´ ci-dessous la liste des conferenciers´ prevus´ et les titres des Presidente´ du Comite´ local :Veronique´ Hussin (Montreal).´ conferences.´ Vous trouverez l’information la plus recente´ sur Paul Arminjon, François Bergeron, Nantel Bergeron, George les programmes, y compris les horaires, a` l’adresse Web suiv- Bluman, Monique Bouchard (SMC ex-officio), Abraham ante: Broer, Martin Goldstein, Michel Grundland, Lucien Had- dad, Alexandra Haedrich (ISM), Pierre Hansen, Joel http://www.camel.math.ca/CMS/Events/ Hillel, Jacques Hurtubise (SMC ex-officio), Jacqueline Klasa, François Lalonde, Gilbert Laporte, Benoˆıt Larose, Un formulaire d’inscription, un formulaire de resum´ eetun´ Sabin Lessard, Paul Libbrecht, Wendy MacCaull, Thomas formulaire de reservation´ d’hotelˆ etaient´ inclus dans le numero´ Mattman, Angelo Mingarelli, Richard O’Lander, Ivo Rosen- de septembre des Notes de la SMC et au site Web. berg, Christiane Rousseau, David Sankoff, Phil Scott, Ronald Sklar, Gordon Slade, Graham Wright (SMC ex-officio), Mike Changements au programme Zabrocki. Le comite´ de coordination est heureux d’accueillir Abraham Broer (Montreal)´ comme co-organisateur du Seminaire´ des Documents publies´ avec cette annonce etudiants´ aux cycles superieurs´ et Paul Arminjon (Montreal)´ Horaire et programme revis´ e´ comme organisateur de la session des communications. Liste des conferenciers´ prevus´ Les conferenciers´ des symposia intitules´ Ordres, treillis et algebre` universelle et l’enseignement de l’algebre` lineaire´ sont maintenant annonces.´ Consulter la liste des Dans le prochain numero´ des Notes de la conferenciers´ et des titres ci-dessous qui a et´ e´ mise a` jour. SMC Remerciements Cinquieme` annonce Horaire et programme a` jour Nous remercions les organisations suivantes pour leur soutien Liste des conferenciers´ prevus´ a´ jour financier

AVIS SPECIALE!!´

Le Centre de recherches mathematiques´ invite tous les participants de la Reunion´ d’hiver 1999 de la SMC ac` el´ ebrer´ le 30e anniversaire du CRM. L’inscription du vendredi, 10 decembre´ 1999, aura lieu a` l’occasion d’une reception´ speciale´ a` l’Universite´ de Montreal,´ prevue´ pour 18 h 00. On vous invite ac` el´ ebrer´ avec nous et prendre possession de votre trousse d’inscription pour la Reunion´ d’hiver. Aﬁn d’avoir un juste aperc¸u du nombre de participants, nous vous prions de bien vouloir remplir le formulaire d’inscription sur le site web du CRM: www.CRM.UMontreal.CA. Veuillez consulter cette page d’accueil pour de plus amples renseignements sur le programme du 30e anniversaire et de la soiree.´

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17 NOVEMBER/NOVEMBRE CMS NOTES

18 NOTES de la SMC NOVEMBER/NOVEMBRE

SCHEDULED SPEAKERS / CONFERENCIERS´ PREVUS´

Here is a list of the conﬁrmed speakers. Abstracts for all Voici les conferenciers´ prevus´ a` ce jour. Les resum´ es´ pour talks may be found at the following world wide web page after toutes les conferences´ seront disponibles a` l’adresse Web suiv- October 15: ante apres` le 15 octobre :

http://www.camel.math.ca/CMS/Events/ http://www.camel.math.ca/CMS/Events/

COXETER-JAMES LECTURE Jacques Belair´ (Montreal)´ CONFERENCE´ COXETER-JAMES Sue Campbell (Waterloo) Florin Diacu (Victoria) Dynamical systems given by quasi- Maciej Zworski (Berkeley) Asymptotic aspects in geometric homogeneous potentials functional analysis F. Dumortier (Belgium) Jean-Pierre Françoise (Paris) DOCTORAL PRIZE LECTURE John Guchenheimer (Cornell) CONFERENCE´ PRIX DE DOCTORAT Ana Guzman (Mexico) Philip Holmes (Princeton) Non-holonomic and piecewise- Jian Shen (Queen’s) holonomic mechanical systems Yulik Il’yashenko (Moscow & Cornell) Angelo Mingarelli (Carleton) Hamiltonian dynamical sys- PLENARY SPEAKERS tems CONFERENCIERS´ PRINCIPAUX R. Moechel (Minnesota) Andreas Dress (Bielefeld) Virtual crystallography an tiling Ernesto Perez (Mexico) theory Robert Roussarie (Dijon) Melnikov functions and Bautin Adriano Garcia (USCD)Update on the n! Conjecture ideal ´ David Lay (Maryland) Recent advances in teaching of linear Christiane Rousseau (Montreal) algebra D. Saari (Northwestern) Elliott H. Lieb (Princeton) Stability of matter: from Dana Schlomiuk (Montreal)´ Schroedinger’s equation to quantum electrodynamics Sergey Yakovenko (Weizmann) Pavel Pevzner (USC) Transforming mice into men Zhihong Xia (Northwestern & Georgia Tech) N body prob- APPLIED LOGIC / LOGIQUE APPLIQUEE´ lem, central configuration..... (Org: Wendy MacCaull, Phil Scott and Prakash Panangaden) Robin Cockett (Calgary) Double glueing SYMPOSIA Josee´ Desharnais (McGill) A Logical characterization of bisimulation for labelled Markov processes ideals ALGEBRAIC GEOMETRIC METHODS IN Esfandiar Haghverdi (Ottawa) Linear logic, geometry of DIFFERENTIAL EQUATIONS: THE 20thCENTURY proofs and full completeness IN CELESTIAL MECHANICS AND ONE CENTURY OF WORK ON HILBERT’S 16th PROBLEM Peter Caines (McGill) A logic for systems and control (CMS-CRM) Amy Felty (Bell Labs) A semantic model of types for proof- METHODES´ ALGEBRIQUES´ ET GEOM´ ETRIQUES´ carrying code EN EQUATIONS´ DIFFERENTIELLES:´ LA Franck van Breugel (York) Towards quantitive verification MECANIQUE´ CELESTE´ AU 20eSI` ECLE` ET UN of systems: A coalgebraic approach SIECLE` DE TRAVAIL SUR LE 16e` PROBLEME` DE Marta Bunge (McGill) Relative stone duality HILBERT (SMC-CRM) Doug Howe (Bell Labs) Combining functional programming (Org: Angelo Mingarelli and Christiane Rousseau) languages and set theory in support

19 NOVEMBER/NOVEMBRE CMS NOTES

Alasdair Urquhart (Toronto) Complexity problems for sub- GENERAL HISTORY OF MATHEMATICS structural logics HISTOIRE GEN´ ERALE´ DES MATHEMATIQUES´ François Lamarche (INRIA) Spaces for linguistic represen- (Org: Richard O’Lander and Ronald Sklar) tatives and the semantics of linear logic Gonzalo Reyes (Montreal) Topics in synthetic differential Tom Archibald (Acadia) Mathematics in France, 1870- geometry 1890: A view via doctoral theses Joachim Lambek (McGill) Bilinear logic in linguistics Ed Barbeau (Toronto) Bringing history close to home: Pell’s Fahiem Bacchus (Waterloo) equation Robert Seely (John Abbott College) Semantics for noncom- Liliane Beaulieu (CRM) Clips from Bourbakian skits mutative linear logics Len Berggren (Simon Fraser) Three geometrical gems from Islamic mathematics Jal Choksi (McGill) A history of the convergence theorems ALGEBRAIC COMBINATORICS, GROUP of (Lebesgue) integration REPRESENTATIONS AND MACDONALD Suh Chun Chongs (Athabasca) Historical background for POLYNOMIALS (CMS-CRM-LaCIM) sequences and calculus COMBINATOIRE ALGEBRIQUE,´ Hardy Grant (York) Greek mathematics in cultural context REPRESENTATIONS DES NOMBRES ET Bernard Hodgson (Laval) Histoire des mathematiques´ et POLYNOMESˆ DE MACDONALD (CRM-LaCIM-SMC) formation des enseignants du secondaire : une experience´ (Org: François Bergeron, Nantel Bergeron and Mike d’utilisation de textes originaux Zabrocki) Norbert Schlomiuk (Montreal)´ Andre´ Weil (1906-1998), in memoriam Ed Allen (Wakeforest) Bitableaux for some Garsia-Haiman Ronald Sklar (St-John’s) Computational logic: 1950- 1965 modules and other related modules Viena Stastna (Calgary) Math caught a wedding bouquet: Jean-Christophe Aval (Bordeaux) young years of Sonja Kovalevskaja François Bergeron (UQAM) Diagonal harmonics and gen- Peter Zvengrowski (Calgary) Vector analysis and the great eralizations 1890’s controversy Carol Chang (Northeastern) Representations of quivers with free modules of covariants Tudose Geanina (York) Littlewood-Richardson rule for a special fusion coefficients GRADUATE STUDENT SEMINAR (CMS-ISM) Victor Ginzburg (Chicago) Principal Nilpotent pairs in a SEMINAIRE DES ETUDIANTS´ AUX CYCLES semisimple lie algebra SUPERIEURS´ (SMC-ISM) Mark Hainman (UCSD) The McKay correspondence and (Org: Abraham Broer, Alexandra Haedrich, Paul Libbrecht the n! conjecture and Thomas Mattman) Alain Lascoux (Marne da Valle)´ Graphe de Yang-Baxter Leo Butler (Queen’s) New examples of integrable geodesic Luc Lapointe (Montreal)´ flows Jennifer Morse (UCSD) A new basis for Macdonald polynomials. Siddharta Sahi (Rutgers) Luc Vinet (Montreal)´ MATHEMATICAL PHYSICS (CMS-PIms) ´ Mike Zabrocki (UQAM-CRM) Special Cases of Positivity PHYSIQUE MATHEMATIQUE(SMC-PIms) for (formula) Kosta Coefficients (Org: George Bluman, Michel Grundland and Gordon Slade)

COMPUTING AND MATHEMATICAL MODELLING (CMS-NCM2) I. Probability Methods and Applications ´ CALCUL ET MODELISATION´ MATHEMATIQUE´ Methodes probabilistes et applications (SMC-NCM2) (Org: Pierre Hanson and Gilbert Laporte) Christian Borgs (Microsoft) Almut Burchard (Virginia) Minimal and random spanning TBA trees in two dimensions Neal Madras (York) Self-avoiding walks with drift

20 NOTES de la SMC NOVEMBER/NOVEMBRE

Jeremy Quastel (Toronto) ORDERS, LATTICES AND UNIVERSAL ALGEBRA Mary Beth Ruskai (Massachussetts) Pauli exchange errors ORDRES, TREILLIS ET ALGEBRE` UNIVERSELLE in quantum computation (Org: Benoit Larose, Lucien Haddad and Ivo Rosenberg) Yvan Saint-Aubin (Montreal)´ Boundary states for a free Boson defined on finite geometries Stanley Burris (Waterloo) Density in abstract number systems Isidore Fleischer (CRM, Montreal)´ II. Group Theory Methods and Applications Jennifer Hyndman (UNBC) Strong duality of finite alge- Methodes´ de la theorie´ des groupes et applications bras that generate the same quasivariety Hans-Karl Keiser (Wien, Austria) Stephen Anco (Concordia) Conservation laws of field equa- Benoit Larose (College Champlain) tions Hajime Machida (Hitsotsubashi University, Japan) Lyudmila Bantsur (Ternopil State Pedagogical University) Bob Quackenbush (Manitoba) Duality and nonduality the- On one approach to the stability analysis of nonlinear systems orems for finite groups Paul Bracken (Montreal´ & McGill) Luigi Santocanale (UQAM) Free µ-lattices Edgardo Cheb-Terrab (Simon Fraser) William Trotter (Arizona State) John Harnad (Concordia) Shelly Wismath (Lethbridge) Hyperdensities for star-band Nicky Kamran (McGill) Non-existence of time-periodic or varieties quasi-periodic solutions of the Dirac operator in stationary Laszlo Zadori (Szeged) Finite posets with symmetric idem- axisymmetric black hole geometries potent operations A. Koudiavtsev François Lalonde (Concordia) Martin Legar´ e´ (Alberta) Jiri Patera (Montreal)´ TEACHING OF LINEAR ALGEBRA (CMS-ISM) Greg Ried (Okanagan) L’ENSEIGNEMENT DE L’ALGEBRE` ´ Pavel Winternitz (Montreal)´ LINEAIRE (SMC-ISM) (Org: Joel Hillel, Veronique´ Hussin and Jacqueline Klasa )

MATHEMATICAL GENETICS AND GENOMICS John Auer (Brock) Ten years of teaching linear algebra us- (CMS-Fields) ing Maple V at Brock University. GEN´ ETIQUE´ ET GENOMIQUE´ MATHEMATIQUES´ Jeffrey Boats (Detroit) On using computer tutorials to tailor (SMC-Fields) linear algebra for secondary teachers (Org: Sabin Lessard and David Sankoff) Bill Byers (Waterloo) Working with ambiguity in linear algebra Kevin Atteson (Yale) Bill Casselman (UBC) Linear algebra with Java-based pro- Andreas Dress (Bielefeld) Cluster analysis and phylogenetic grammable calculator nets Daniel Norman (Queen’s) Teaching Linear algebra inde- R.C. Grifﬁths (Oxford) Ancestral inference from gene trees pendence via unique representation Tao Jiang (McMaster) Quartet cleaning: efﬁcient algorithms Asuman Oktac (Concordia) Linear algebra: Is it possible and simulations at a distance? Ming Li (Waterloo) Whole genome phylogeny Morris Orzech (Queen’s) Linear algebra and rigor–mixed Nicolas Shork (CWRU) The future of genetic case-control messages as an opportunity studies David Poole (Trent) Does linear algebra need to be "re- Katy Simonsen (Purdue) Probability models for genetic fac- formed"? tors underlying a binary phenotype Anna Sierpinska (Concordia) Practical, theoretical, syn- Simon Tavare´ (USC) The genealogy of branching processes thetic and analytic modes of thinking in linear algebra and the reconstruction of tumor histories Gilbert Strang (MIT) Partly random graphs and small world Elisabeth Thompson (Washington) networks

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CONTRIBUTED PAPERS Wei-Jiu Liu (Dalhousie) Adaptive control of Burgers’ equa- COMMUNICATIONS LIBRES tion with unknown viscosity (Org: Paul Arminjon) Martin Pergler (Chicago) Connection preserving actions and observable and epimorphic subgroups Paul Gauthier (Montreal)´ Les theor´ emes` Cauchy et Green Dominic Rochon (Montreal)´ Dynamique bicomplex pour connexite arbitraire Dieter Ruoff (Regina) Proportionality of non-Euclidean Omar Kihel (Laval) Sur un probleme´ de Diophante plane Konstantin Rybnikov (Queen’s) Loss of tension in an infi- Michael Soltys Boolean programs and quantified proposi- nite membrane with holes distributed by a Poisson Law tional proof systems Peter Lancaster (Calgary) Numerical ranges of selfadjoint Christina Stoica (Victoria) The relative two-body problem quadratic matrix polynomials in quasi-homogenous potentials fields Claude Levesque (Laval) Sur les sommes de puissances consecutives´

COLLOQUE DES SCIENCES MATHEMATIQUES´ DU QUEBEC´ May 5–7, 2000, Universite´ Laval, Quebec,´ Canada

Comme on le sait, l’annee´ 2000 a` et´ e´ proclamee´ Annee´ mondiale des mathematiques´ par l’UNESCO. Suite a une decision´ du CQEM (Conseil quebecois´ pour l’enseignement des mathematiques),´ le Groupe des chercheurs en sciences mathematiques´ (GCSM) tiendra le Colloque de sciences mathematiques du Quebec´ de mai 2000, conjointement avec

• l’AMQ (Association mathematique´ du Quebec)´

• l’APAME (primaire)

• le GRMS (secondaire)

• MOIFEM (Mouvement international pour les femmes et l’enseignement des maths)

• QAMT (Quebec´ association of maths teachers)

• le GDM (Didactique des maths) les 5,6 et 7 mai 2000 a l’Universite´ Laval. Le format de notre rencontre sera donc fort different de celui auquel nous sommes habitues.´ Nous chercherons en effet a tirer pleinement proﬁt de la presence d’enseignants de tous les ordres d’enseignement - nous attendons plus de 1000 congres- sistes. En particulier, cette rencontre sera MOINS APPROPRIEE POUR DES PRESENTATIONS SPECIALISEES PAR DES ETUDIANTS DES DEUXIEME ET TROISIEME CYCLE, et nous vous invitons donc a prevoir,´ si cela est possible, que ces presentations´ aient davantage lieu lors de la rencontre de Sherbrooke de l’automne prochain (communiquer avec Pierre Yves Leduc a [email protected]) ainsi que lors de celle qui suivra a l’automne 2000. Etant donne´ le caractere extraordinaire du Congres Mathematique´ de l’an 2000, nous sommes evidemment ouverts aux sug- gestions pour des conferences,´ ateliers, panels ou autres activites.´ Charles Cassidy represente le GCSM au sein du comitede´ programme ([email protected]), et je suis pour ma part le representant´ du GCSM au sein du comite´ organisateur, Frederic Gourdeau ([email protected]).

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24 NOTES de la SMC NOVEMBER/NOVEMBRE

CALL FOR NOMINATIONS / APPEL DE CANDIDATURES 2000 Canadian Mathematical Society Doctoral Prize Le Prix de doctorat 2000 de la Societ´ e´ mathematique´ du Canada

The CMS Doctoral Prize is for recognizing outstanding per- La SMC a creé´ ce Prix de doctorat pour recompenser´ le travail formance by a doctoral student. The prize is awarded to the exceptionnel d’un etudiant´ au doctorat. Le prix sera decern´ e´ person who received a Ph.D. from a Canadian university in the a` une personne qui aura reçu son diplomeˆ de troisieme` cycle preceeding year (January 1st to December 31st) and whose d’une universite´ canadienne l’annee´ prec´ edente´ (entre le 1er overall performance in graduate school is judged to be the janvier et le 31 decembre)´ et dont les resultats´ pour l’ensemble most outstanding. Although the dissertation will be the most des etudes´ superieures´ seront juges´ les meilleurs. La dis- important criterion (the impact of the results, the creativity sertation constituera le principal critere` de selection´ (impact of the work, the quality of exposition, etc.) it will not be the des resultats,´ creativit´ e,´ qualite´ de l’exposition, etc.), mais ne only one. Other publications, activities in support of students sera pas le seul aspect evalu´ e.´ On tiendra egalement´ compte and other accomplishments will also be considered. des publications de l’etudiant,´ de son engagement dans la vie The CMS Doctoral Prize will consist of an award of $500, etudiante´ et de ses autres realisations.´ a two-year complimentary membership in the CMS, a framed Le laureat´ du Prix de doctorat de la SMC aura droit a` une Doctoral Prize certificate and a stipend for travel expenses to bourse de 500 $. De plus, la SMC lui offrira l’adhesion´ gra- attend the CMS meeting to receive the award and present a tuite a` la Societ´ e´ pendant deux ans et lui remettra un certificat plenary lecture. encadre´ et une subvention pour frais de deplacements´ lui per- mettant d’assister alar` eunion´ de la SMC ou` il recevra son Nominations prix et presentera´ une conference.´ Candidates must be nominated by their university and the Candidatures nominator is responsible for preparing the documentation de- scribed below, and submitting the nomination to the address Les candidats doivent etreˆ nommes´ par leur universite;´ below. la personne qui propose un candidat doit se charger de re- No university may nominate more than one candidate and grouper les documents decrits´ aux paragraphes suivants et de the deadline for the receipt of nominations is January 31, faire parvenir la candidature a` l’adresse ci-dessous. 2000. Aucune universite´ ne peut nommer plus d’un candidat. The documentation shall consist of: Les candidatures doivent parvenir a` la SMC au plus tard le 31 • A curriculum vitae prepared by the student. janvier 2000. • A resume´ of the student’s work written by the student and Le dossier sera constitue´ des documents suivants : which must not exceed ten pages. The resume´ should include • Un curriculum vitae redig´ e´ par l’etudiant.´ a brief description of the thesis and why it is important, as • Un resum´ e´ du travail du candidat d’au plus dix pages, well as of any other contributions made by the student while redig´ e´ par l’etudiant,´ ou` celui-ci decrira´ brievement` sa these` a doctoral student. et en expliquera l’importance, et enum´ erera´ toutes ses autres • Three letters of recommendation of which one should be realisations´ pendant ses etudes´ de doctorat. from the thesis advisor and one from an external reviewer. A • Trois lettres de recommandation, dont une du directeur de copy of the external examiner’s report may be substituted for these` et une d’un examinateur de l’exterieur´ (une copie de son the latter. More than three letters of recommendation are not rapport fera aussi l’affaire). Le comite´ n’acceptera pas plus accepted. de trois lettres de recommandation.

Chair/President´ Doctoral Prize Selection Committee/Comitedes´ election´ du Prix de doctorat CMS Executive Ofﬁce/Bureau administratif de la SMC 577 King Edward, Suite 109 P.O. Box 450, Station A/C.P. 450, Succursale A Ottawa, Ontario Canada K1N 6N5

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40th International Mathematical Olympiad (IMO) by Ed Barbeau - 1999 IMO Team Leader

The “mathletes” and leaders with (back row, right) Mr. Corey Jack, Vice-President of the Bank of Montreal Institute for Learning, get ready for the 1999 IMO

This year marked the fortieth International Mathematical amination in November, which, together with results in the Olympiad, and the nineteenth in which Canada took part. The Canadian Open Mathematics Competition, provide a basis Canadian team of six students consisted of: for invitation to the IMO Winter Training Camp. This year, it David Arthur, Upper Canada College, Toronto, ON was held at York University (January 7-10); the Society is ex- Jimmy Chui, Earl Haig Secondary School, Toronto, ON tremely grateful to the Mathematics Department and Bethune James Lee, Eric Hamber Secondary School, Vancouver, BC College for their hospitality and the provision of accommo- Jessie Yin Lei, Hon. Vincent Massey Secondary School, dation and seminar rooms. In the spring, students write the Windsor, ON Canadian Mathematical Olympiad, the Asian Pacific Mathe- David Nicholson, Fenelon Falls Secondary School, Fenelon matics Olympiad, and the USA Mathematical Olympiad. The Falls, ON IMO Committee considers high achievement on these con- David Pritchard, Woburn Collegiate Institute, Toronto, ON tests as an important factor in the selection. Finally, by the Jimmy Chui, the team leader and official Samuel Beatty com- middle of May, the team is selected and we have to deal with petitor (an Ontario student supported by the Samuel Beatty the practical issues of arranging travel and visas (for which Fund of the University of Toronto mathematics alumni), had the Romanian government graciously waived the fee of over competed in the 1998 International Mathematical Olympiad $50), and scheduling the official Send-off Reception and the as had Jessie Lei. The team was accompanied by the Leader, Summer IMO Training Camp. Ed Barbeau, of the University of Toronto; the Deputy Leader, Arthur Baragar, of the University of Nevada in Las Vegas; and Dorette Pronk, of Calvin College in Grand Rapids, Michigan and Dalhousie University in Halifax. Arthur Baragar had ac- tually been a member of the first Canadian team in Washington in 1981. The selection of the team is the responsibility of the CMS International Mathematical Olympiad Committee under the direction of Bill Sands of the University of Calgary. It is a process that involves many factors. Students are expected to enrol in the Mathematical Olympiads Correpondence Pro- The Ontario Minister of Education, Janet Ecker, presents gram that exposes them to Olympiad problems, helps them James Lee with IMO shirt gain experience and background and provides an initial eval- The Send-off Reception was held at the Bank of Montreal uation. Those who show promise write a time-limited ex- Institute for Learning on Tuesday, June 29. It was a pleas-

26 NOTES de la SMC NOVEMBER/NOVEMBRE ant occasion attended by a number of dignitaries, including However, the coordination was competent, efficient and fair, Janet Ecker, the Ontario Minister of Education; Corey Jack, with coordinators and leaders attempting on the whole to find Vice-President of the Bank of Montreal Institute for Learn- the maximum grade that could be justified according to what ing; Radu Gabriel Safta, the Consul-General for Romania in the student had written down. Toronto and Richard Kane, the President of the CMS. Press There was a spare day between the completion of the coverage included a story by Virginia Galt in the Globe and marking and the Closing Ceremony. For the Romanians, it Mail of July 2. But it was not quite time to leave! There fol- was a busy time preparing the final tabulation of marks, the lowed almost two weeks of training at Renison College at the certificates, medals and programs; for the rest, it was a time to University of Waterloo. Besides those who were accompany- be tourists and take a trip to Bran and Peles castles near Siniai. ing the team, the Society is indebted to Christopher Small and These were two contrasting structures. Bran castle, about 600 Richard Hoshino (a recent Olympian) from the University of years old and perched on a height, was an idiosyncratic place Waterloo and Ed Wang from Wilfrid Laurier University for with courtyards and occasionally cosy small rooms. Peles helping out with the training. We are indebted to Peter Crippin Castle, a nineteenth century building, was the soul of for- for the arrangements. mality, a place where the last of Romania’s kings could hold formal audiences and conduct affairs of state. The leaders and deputies also had other outings around Bucharest, most notably to a park where interesting buildings from outlying villages in Romania had been moved to pre- serve an important part of the cultural heritage of the country. There are, in effect, three Bucharests, the elegant city of the early part of the century which earned it the sobriquet of “Paris of the East", the drab blocks of the Communist era and the coldly formal buildings in the centre of the city built in the declining years of the Ceaucescu dictatorship.

The IMO Team take a training break at Niagara Falls The Leader left for Romania on Friday, July 9 to join the International Jury of all the country leaders at Brasov to make up the paper. We were in a very pleasant hotel in the Carpathian mountains, and our hospitable Romanian hosts treated the delegates to some fine evening meals and samples of Romanian culture at some of the local restaurants. The Deputy Leader, the Observer and team left for Bucharest on July 12, and were housed in the residences of the Polytech- nical University close to the centre of the city. On Friday and Saturday, two 4-1/2 hour examinations were written, and then the deputies and observers moved into the Bucharest Ho- tel with the leaders to mark the papers and bring them before coordinators for confirmation of the marks. The papers were tough; the Romanian problem selection committee chose a slate of difficult problems from which to select the six ques- The IMO Team outside the House of the People in Bucharest, tions. Romania with Carmen Toma, the guide (front left) The coordination process is a kind of negotiation. Three It was in the most grandiose of these formal buildings that teams of two coordinators were appointed by the Romani- the Opening and Closing Ceremonies were held. Ceaucescu’s ans for each problem. Each leader and deputy brought their Palace conspicuously situated on a low hill is now the home of students’ scripts which they had marked to discuss with the the Romanian parliament; it was a fine site for the festivities. coordinators and to agree on the final mark. Often, accord It was here that our team members reaped the rewards of their was quickly reached, but we had some protracted discussions efforts; there were bronze medals for our top three students, about a couple of our solutions, with some degree of success. David Arthur, Jimmy Chui and David Pritchard.

27 NOVEMBER/NOVEMBRE CMS NOTES

The Canadian team ranked 31, tying with the Netherlands. be studying mathematics at the University of Waterloo. How- The team worked hard in the training, mastering the back- ever, there are many talented young students in the wings, and ground required for the contest, and did some nice work on we need to bring them along to olympiad level. In particular, the papers. Top-ranking teams are listed below. The maxi- our students need lots of practice writing up clear and com- mum possible score for a team is 252; the minimum scores plete solutions, especially under pressure of time. The Society for gold, silver and bronze medals were, respectively 28, 19 is fostering an increasingly intensive system of training and and 12, out of a possible score of 42. competition to identify and help develop these competitors, but is looking for members in all parts of the country who 1. China 182 are willing to help out either in the training programs or as 1. Russia 182 mentors to students in their areas. 3. Vietnam 177 It also requires a great deal of money for the Society to 4. Romania 173 sponsor a full program of team preparation and participation, 5. Bulgaria 170 and it is very grateful to a number of sponsors for their open- 6. Belarus 167 handed generosity in providing funding and awards. The 7. Korea 164 Society is grateful for the support of Industry Canada; Al- 8. Iran 159 berta Education; Department of Education, New Brunswick; 9. Taiwan 153 Department of Education, Newfoundland and Labrador; De- 10. United States 150 partment of Education, Northwest Territories; Department of Education, Nova Scotia; Ministry of Education, Ontario; Two members of the Canadian team will be eligible to Ministry of Education, Quebec; Department of Education, try out for the team in the year 2000, when the IMO will be Saskatchewan; Bank of Montreal; Sun Life Assurance Com- held in Korea; David Arthur and David Pritchard. To the rest, pany of Canada; The Fields Institute; Samuel Beatty Fund; we send our best wishes for their university studies. Jimmy Senator Norman M. Paterson Foundation; Waterloo Maple Chui and Jessie Lei will be studying engineering science at the Inc.; Dalhousie University; University of Calgary; University University of Toronto; James Lee and David Nicholson will of Ottawa; University of Toronto and University of Waterloo.

COMMITTEES AT WORK

CMS Women in Mathematics Committee any women in your department who might be interested in Shelly Wismath, University of Lethbridge, Committee Chair participating. We particularly want to contact new graduate students, post-docs, and junior faculty, and ask your help in One of our projects is the compilation of a Directory of Cana- making them aware of our project. dian Women in the Mathematical Sciences. This project is funded by Nancy’s Very Own Foundation, which has given us You can ﬁnd our directory, and information about how to money to set up a directory on CAMEL, the CMS web server. join it, on the web at the address: Each directory listing consists of a cover page, showing name, contact address(es), and areas of interest in mathematics; par- http://camel.math.ca/Women/WMpages/package ticipants may also include links to their own home page or curriculum vitae. You can also reach us by e-mail at: The directory currently contains about 60 entries. In or- der to increase this number, I’d like to ask readers to alert [email protected].

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NEWS FROM DEPARTMENTS

University of British Columbia, Vancouver, BC 1999-00); Abolfazl Monadi (Asst. Professor, 1999-00); Tariq Promotion: Kai Behrend to Associate Professor, July Qazi (Instructor, 1999-00); Ann Woodside (Instructor, 1999- 1999. 00); Bin Han (Asst. Professor from July 2000); Konstantin Rybnikov (Asst. Professor from Jan. 2002). Carleton University, Ottawa, ON Appointments: Ayse Alaca (Instructor, 1999-00); Saban Retirements: Donald A. Dawson, Louis D. Nel. Alaca (Instructor, 1999) Wojciech Jaworski (Asst. Professor, Awards: A. K. Md. E. Saleh received the award “Best

29 NOVEMBER/NOVEMBRE CMS NOTES

Researcher from the Organization of Islamic countries.” The 1999, algebra), Xiaoqiang Zhao (Assistant Professor, July award was made by the Islamic Educational, Scientiﬁc and 1999, applied mathematics). Cultural Organization and the Islamic Society of Statistical Retirement: Dr. Louise Dionne, August 1999. Science. University of Ottawa, Ottawa, ON Visitors: Mirjana Stojanovic (Novi Sad, Yugoslavia, anal- Promotions: Andre´ Dabrowski, Professor,July 1999; ysis, September 1999); Istvan Agoston (Budapest, algebra, Thierry Giordano, Professor, July 1999. Fall 1999); Erzebet Lukacs (Budapest,algebra, Fall 1999); Appointments: Yves Bourgault, Assistant Professor, July Blaire S.Spearman (Kelowna, number theory, October 1999); 1999; Abdellah Sebbar, CMS Instructorship, July 1999. Qihua Wang (Beijing, statistics, May 1999–April 2000). Retirements: Chandrakant Deo, Remi´ Vaillancourt. Universite´ Laval, Quebec,´ QC University of Victoria, Victoria, BC Retirements: Prof. Radu Theodorescu (April 1999 after Distinction: Ian Putnam was elected a Fellow of the Royal 30 years of service). Prof. Gunther Frei (September 1999 Society. after 29 years of service). Visitors: Junesang Choi, Dongguk University, Kyongju, Resignations: Prof. Cornelius Greither (May 1999) Korea, (number theory and special functions) from August Awards/Distinctions: Prof. Christian Genest received the 1999, to August 2000. ﬁrst CRM-SSC Award at the Statistical Society of Canada annual meeting held in Regina in June 1999. University of Western Ontario, London, ON Promotions: Masoud Khalkhali, with tenure, to the rank University of Manitoba, Winnipeg, MB of Associate Professor, July 1999. Finnur Larusson, with Appointments: Robert Craigen, Combinatorial Mathe- tenure, to the rank of Associate Professor, July 1999. matics, July 1999; Appointments: Paul Balmer, Postdoctoral Fellow, August Resignation: As of January 1, 2000, Lynn Batten leaves 1999, number theory and algebraic K-theory. the University of Manitoba to take on a Professorship and per- Visitors: P.V.Paramonov, Moscow State University, com- sonal Chair in Mathematics at Deakin University, Melbourne, plex analysis, January–February 2000. Australia. Other News: Prof. Jan Minac is visiting MSRI in Berke- McMaster University, Hamilton, ON ley in the fall term of 1999 to participate in the half year Appointments: David J. D. Earn (Assistant Professor, Oc- program “Galois Groups and Fundamental Groups.” tober 1999, mathematical biology); Aaron Childs (Assistant York University, Toronto, ON Professor, July 1999, statistics) Promotion: Kim Maltman, Professor, January 1999 Postdoctoral Fellowships: A. Cherhabili (January 1999, Appointments: Yun Gao, Assistant Professor, pure math- applied mathematics), D. Delic (July 1999, NSERC PDF, al- ematics, July 1999; Huaxiong Huang, Assistant Professor, gebra), N. Diamantis (July 1999, number theory), P. Lu (July applied mathematics, July 1999; Scott MacKenzie, Associate 1999, algebraic geometry), M. McCooey (July 1999, topol- Professor, information technology, July 1999. ogy), D. Park (July 1999, gauge theory), E. Yalcin (July 1999, Awards/Distinctions: Masoud Asgharian was awarded topology). the 1998 Pierre Robillard Award. This award recognizes the best doctoral thesis in statistics defended at a Canadian univer- Memorial University of Newfoundland, St. John’s, NF sity in 1998. Lee Lorch: Doctor of Science (honoris causa) Appointments: Yuri Bahturin (Professor, September Spelman College, May 16, 1999.

Did you know? ... Saviez-vous que? ...

The CMS Ofﬁce is on the University of Ottawa Le Bureau administratif de la SMC est situe´ sur campus. All correspondence from participating le campus de l’Universite´ d’Ottawa. Toute cor- Ontario universities can be sent IUTS - free of respondance provenant d’une universite´ ontari- charge. enne peut etreˆ envoyee´ gratuitement via IUTS.

30 NOTES de la SMC NOVEMBER/NOVEMBRE

UNIVERSITE´ McGILL UNIVERSITY – MONTREAL,´ QUEBEC´ DEPARTMENT OF MATHEMATICS AND STATISTICS DEPARTEMENT´ DE MATHEMATIQUES´ ET DE STATISTIQUES

The Department of Mathematics and Statistics of McGill Uni- Le departement´ de mathematiques´ et de statistique de versity invites applications for a tenure track position in statis- l’Universite´ McGill cherche a` pourvoir un poste en statistics at the assistant professor level. tiques au niveau de professeur adjoint, menant a` la perma- A Ph.D. degree in statistical science is essential. Preferred nence. areas of specialization are computational statistics, sample Un doctorat en statistique est essentiel. Les domaines pri- surveys and time series analysis, although not exclusively so. oritaires sont l’echantillonnage,´ la statistique informatique Preference will be given to applicants with a strong theoretical ou l’analyse des series´ chronologiques; ces priorites´ ne sont background in statistics, whose work is driven by applications. pas exclusives. La preference´ sera accordee´ aux candidats ayant une forte formation theorique´ en statistiques et dont les The appointment is to begin July 1, 2000. travaux sont motives´ par des applications. La date d’entree´ en fonction sera le premier juillet 2000. Applicants are expected to have demonstrated the capacity for independent research of excellent quality. Selection criteria Les candidats devront avoir demontr´ e´ leur capacite´ de mener a` include research accomplishments, as well as potential con- bien une recherche independante´ et de haut niveau. Parmi les tributions to the research interests of the Department and to its criteres` de selection´ des candidats figurent leurs realisations´ educational programs at both the undergraduate and graduate en recherche, ainsi que leurs contributions potentielles aux levels. activites´ de recherche du departement´ et a` ses programmes d’enseignement a` tous les cycles. Applications, with a curriculum vitae, a list of publications, a research proposal, an account of teaching experience and the Les demandes, comprenant un curriculum vitae, une liste de names, phone numbers and e-mail addresses of at least four publications, un aperçu des projets de recherches, une descrip- references (with one addressing the teaching record) should tion de l’experience´ acquise en enseignement et les noms, be sent to: numeros´ de tel´ ephone´ et adresses electroniques d’au moins quatre repondants´ (dont un pourra commenter les qualites´ d’ enseignant du candidat) doivent etreˆ envoyees´ a:` Professor K. GowriSankaran, Chair Department of Mathematics and Statistics Professeur K. GowriSankaran, Directeur McGill University Departement´ de mathematiques´ et statistique 805 Sherbrooke Street West Universite´ McGill Montreal, Quebec, Canada H3A 2K6 805, rue Sherbrooke ouest Montreal´ (Quebec)´ Canada H3A 2K6 Candidates must arrange to have the letters of recommendation sent directly to the above address. Candidates are also Les candidats doivent demander a` leurs repondants´ d’envoyer encouraged to include copies of up to 3 selected publications leurs lettres de recommandation directement a´ l’adresse ci- with their application. dessus. Ils sont egalement´ invites´ a´ inclure en annexe a´ leur To ensure full consideration, applications must be received by demande des copies de trois de leurs publications au plus. November 30, 1999, although the search will continue until Pour etreˆ prises pleinement en consideration,´ les demandes the position is filled. devront etreˆ reçues le 30 novembre 1999 au plus tard. Les McGill University is committed to equity in employment and recherches se poursuivront jusqu’a ce que le poste soit comble.´ in accordance with Canadian immigration requirements, priority will be given to Canadian citizens and permanent resi- L’Universite´ McGill souscrit a l’equit´ e´ en matiere` d’emploi dents of Canada. et, conformement´ alal` egislation´ canadienne en matiere` d’immigration, accorde la priorite´ aux citoyens canadiens et aux residents´ permanents du Canada.

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UNIVERSITE´ McGILL UNIVERSITY – MONTREAL,´ QUEBEC´ SCHOOL OF COMPUTER SCIENCE

Tenure Track Assistant Professor

The School of Computer Science at McGill University wishes search will continue until the positions are ﬁlled. Informa- to invite applications for four tenure-track positions at the as- tion about our department can be found at www.cs.mcgill.ca. sistant professor level, to begin June 1st, 2000. Applications McGill University is committed to equity in employment and, for more senior positions are also welcome. Areas of priority in accordance with Canadian immigration requirements, this include, but are not limited to, software engineering, software advertisement is directed to Canadian citizens and permanent veriﬁcation, networks, architecture, real-time systems, ma- residents of Canada. chine learning, model-checking, reasoning with uncertainty, speech understanding and computational biology. Head, Search Committee Hardcopy applications, including a curriculum vitae, a list of School of Computer Science publications with copies of one or two sample reprints, a re- McGill University search proposal and the names and e-mail addresses of three McConnell Engineering Building, 318 references should be sent to: 3480 University Street Montreal, QC The review process will start November 15, 1999 and the H3A 2A7

QUEEN’S UNIVERSITY – KINGSTON, ONTARIO MATHEMATICS AND ENGINEERING

The Department of Mathematics and Statistics expects, pending budgetary approval, to make a renewable (tenure-track) appointment in Mathematics and Engineering at the Assistant Professor level to begin July 2000. We seek candidates specializing in the areas of computational fluid dynamics, partial differential equations, dynamical systems, scientific computation, or statistical data analysis. Candidates must have an earned Ph.D. in Applied Mathematics, Statistics, or a closely related field. Membership or eligibility for membership in a Canadian professional engineering association is required. Candidates are expected to have a strong research record, develop an independent research programme, be willing and competent to teach a broad range of applied mathematics/statistics courses, and supervise graduate students. Interested candidates should arrange that a curriculum vitae, a description of teaching and research interests, at least three letters of recommendation, and copies of their three most significant publications are sent to the address below. At least one letter should comment on the candidate’s teaching. Applications will be accepted until December 17, 1999, or until the position is filled.

Professor James A. Mingo, Associate Head Department of Mathematics and Statistics Queen’s University, Kingston Ontario, K7L 3N6, Canada fax: (613) 533-2964 e-mail: [email protected] http://www.mast.queensu.ca

In accordance with Canadian immigration requirements, this advertisement is directed to Canadian citizens and permanent residents.

32 NOTES de la SMC NOVEMBER/NOVEMBRE

UNIVERSITY OF MANITOBA–WINNIPEG, MANITOBA DEPARTMENT OF MATHEMATICS

Applications are invited for two full-time tenure-track positions, subject to final budgetary approval, at the Assistant Professor level, commencing July 1, 2000, or as soon as possible thereafter. Minimum qualifications are a Ph.D. in mathematics, evidence of strong research potential, and a strong commitment to teaching at the post-secondary level. The area of specialization of primary interest is functional analysis. Other fields of interest are partial differential equations and current areas of geometry. However, a truly outstanding candidate in any area will be considered. Duties will include undergraduate and graduate teaching and supervision, research, and service-related activities. The salary range for the position is $42,524 to $65,040.

The University of Manitoba encourages applications from qualiﬁed women and men, including members of visible minorities, aboriginal peoples, and persons with disabilities. This advertisement is directed to Canadian citizens and permanent residents.

Further information concerning this position, the Department and the University may be obtained from our World Wide Web home page:

http://www.umanitoba.ca/faculties/science/mathematics/

Applicants should send a curriculum vitae and the names of three referees (together with e-mail addresses, if possible) to the address below, and they should include statements regarding research plans and teaching philosophy. At least one referee should be prepared to comment on the applicants teaching.

The deadline for applications is November 30, 1999. They should be sent to:

Chair of Search Committee Department of Mathematics University of Manitoba Winnipeg, Manitoba R3T 2N2 e-mail: mathematics [email protected] telephone: (204) 474-8703 fax: (204) 474-7611

McMASTER UNIVERSITY – HAMILTON, ONTARIO DEPARTMENT OF MATHEMATICS & STATISTICS Algebra & Number Theory

The Department of Mathematics & Statistics, McMaster University, invites applications for a tenure track Assistant or Associate Professorship starting July 1, 2000. Candidates should have a Ph.D. and a research record of high quality in a major area of Algebra or Number Theory, as well as demonstrated interest and ability in teaching. The salary and rank will be based on qualiﬁcations and experience. McMaster is committed to Employment Equity and encourages applications from all qualiﬁed candidates, including aboriginal peoples, persons with disabilities, members of visible minorities and women. In accordance with Canadian Immigration requirements, this advertisement is directed to Canadian citizens and permanent residents. Applications, including curriculum vitae and three letters of reference, should be received before December 1, 1999 by: