Autumn 2005 Newsletter of the Department

Total Page:16

File Type:pdf, Size:1020Kb

Autumn 2005 Newsletter of the Department AUTUMN 2005 NEWSLETTER OF THE DEPARTMENT OF MATHEMATICS AT THE UNIVERSITY OF WASHINGTON Mathematics NEWS 1 DEPARTMENT OF MATHEMATICS NEWS MessaGE from the Chair The 2004–05 academic year will educational and outreach efforts. It is critical that we recruit be remembered for the wonderful excellent faculty members together with the strongest recognition and support given to the graduate students, and encourage and support them as they Department by the mathematical com- continue to create, as everything we do rests with them. munity, by our colleagues on campus, It is here that private support, on top of state and federal and by the Department’s alumni and funding, allows us to take that extra step in innovation and friends. The support we experienced leads to excellence in education, research and outreach. on a daily basis is crystallized in the Every UW department is reviewed on a decennial basis. We prizes received by Branko Grünbaum had our turn recently. In this year-long review, as well as and Jim Morrow for work they have done over decades, the in many other ways, our department was commended for awards to our students, the Brotman Award presented to the its achievements in education and research. The extent and Department for its instructional excellence, and the endow- effectiveness of our involvement in outreach was singled ments that were established during the year. The significant out as being remarkable for a major research department. increase in the involvement of our alumni, in particular, Indeed our outreach programs, thanks to the efforts of Gin- is most encouraging. And, yes, a team of our students was ger Warfield, Jim Morrow, Jim King and many others, now again selected Outstanding Winner in the Mathematical cover the full K-12 span as indicated by the following (par- Contest in Modeling, for the fifth time in four years. Watch tial) list of acronyms you may be familiar with or encoun- out, Lance Armstrong, here comes UW Math! ter for the first time in this Newsletter: Math Fairs, GK-12, We have over 90 students in our graduate program this WaToToM, NWMI, SIMUW, and Math Day. Our K-12 efforts year, and they are an amazing group. The majority of them reflect our realization that the seeds of mathematical think- serve as teaching assistants for undergraduate courses. ing and appreciation are most effectively sown early in life. Having doubled the size of the Department’s undergraduate In addition, through programs such as the summer Research degree programs during the past three years, we are working Experience for Undergraduates and workshops for gradu- to absorb the additional students while maintaining—actu- ate students, our department is fully engaged in serving the ally increasing—the quality of the educational experience national mathematical community. We look forward to the we offer to our students. We have significantly expanded continuing involvement of our community in the depart- the involvement of our undergraduate majors in research ment as we further our work at every educational level. projects with faculty and graduate students, for example. In addition to grants that fuel our research, we have been —Selim Tuncel fortunate in attracting substantial federal funding, through our VIGRE, GK-12, and REU grants in particular, for our Pictured (cover): Upper left: Professor Branko Grünbaum Upper right: Professor Jim Morrow Middle: 2005 Brotman Award for Instructional Excellence Bottom: Photo from the 2004 Graduate Student Awards; (top row) Kris Kissel, Eric Bahuaud, Tristram Bogart, Joan Lind, Karl Schwede, David White, Troy Winfree, Catherine Williams, Joshua Kantor, Professor Barry Mazur (VIGRE Distinguished Lecturer), Keir Lockridge, Leo Tzou, (bottom row) Prof. Selim Tuncel, Prof. Doug Lind, Prof. Tom Duchamp, Prof. Monty McGovern, Ursula Whitcher, Juliet Anderson, Zsuzsanna Dancso, Travis Kopp 2 The Graduate Program This year’s entering class of 18 Ph.D. and 6 Master’s continued success of our program, it is vital that we con- students brings our current graduate enrollment to ninety- tinue to recruit from among the most talented students. Not three, including 80 Ph.D., 11 Master’s, and 2 visiting stu- only do the awards and fellowships provide valuable en- dents; 18 women, and 28 international students represent- couragement, but they are essential to our efforts to recruit ing 16 nationalities. Our graduate students are as talented talented students to our program. and enthusiastic as any that I have seen since I arrived at The Academic Excellence Award, which recognizes out- the UW twenty-five years ago. standing performance in both core graduate mathematics To successfully compete for these top students with other courses and the Ph.D. qualifying exams, is given each fall to leading universities such as the University of Michigan, UC three students. This year’s awards were presented to Jeremy Berkeley, and UCLA, our department designed a recruitment Berquist, Jacob Lewis, and James Vargo. The Excellence in and support plan over the past decade, and it is working Teaching Award is given each fall to two of our Teaching very well. One of its many strengths is the careful mentor- Assistants for outstanding teaching performance in under- ing and advising to facilitate the difficult transitions from graduate mathematics courses. This year’s Excellence in college to graduate school, from course-work to reading Teaching awardees are Kristofer Reed and Edwin O`Shea. current research papers, and finally from reading papers to Our first McKibben and Merner Fellowship was awarded doing research in mathematics. to Ursula Whitcher. The fellowship is funded at the level Graduate Awards of $5,000 annually over three years, and is awarded to a second or third year graduate student with an excellent The sixth annual Graduate Awards Ceremony, honoring academic record. outstanding graduate students in mathematics who received awards and fellowships during the past year, was held on Matias Courdurier and Jun Zhang are this year’s McFarlan November 14, 2005 in the UW Club. Mathematics stu- Fellows. The McFarlan Fellowship program, which began dents received a number of fellowships and other awards, in 1992, provides support for graduate students through including three Academic Excellence Awards, two Teach- the income on a bequest given for this purpose by the late ing Excellence Awards, three Achievement Rewards for Professor Lee McFarlan of the Mathematics Department. College Scientists (ARCS) fellowships, one McKibben and Three of our entering students, Michael Gaul, James Vargo, Merner fellowship, two McFarlan fellowships, eleven Verti - and Stephanie Vance, were awarded Achievement Rewards cal Integration Grants for Research and Education (VIGRE) for College Scientists (ARCS) Foundation Fellowships this fellowships, a Graduate Opportunity Research Assistantship year, bringing to six the total number of ARCS fellowships (GO-MAP) award, five Top Scholar Awards sponsored by the currently held by Mathematics students. The ARCS Founda- Graduate School, and three Microsoft Scholar Awards. tion is a national organization of women who raise funds Graduate students play a central role in all activities of our for fellowships in science, medicine and engineering. ARCS department: they share in the teaching of undergraduate Fellowships are $15,000 awards, funded over three years at courses, they are students in our graduate courses, and they the level of $5,000 annually. are active participants in our research program. For the (continued on next page) 3 DEPARTMENT OF MATHEMATICS NEWS (continued from previous page) duties, during two academic quarters and the sum- Microsoft Scholar Awards were given to three enter- mer. Matthew Ballard, Davis Doherty, Kelly Jabbusch, ing students, Andrey Novoseltsev, Bo Tian, and Carto Matthew Kahle, Joshua Kantor, Keir Lockridge, Eliza- Wong. These $20,000 awards, in the form of yearly beth Morris, Alex Papazoglou, David Rosoff, Zachary supplementary stipends of $5,000 for four years, are Treisman, and Ursula Whitcher are this year’s VIGRE funded by a gift from Microsoft Corporation. fellows. Stephanie Vance is also the recipient of a Graduate We are grateful to the individuals, foundations, and Opportunity Research Assistantship, sponsored by UW programs who make these awards possible. the Graduate Opportunity and Minority Achievement — Tom Duchamp Program (GO-MAP), for the purpose of bringing out- standing women and minority candidates to our PhD program. The award provides support, without teach- ing duties, during three academic quarters. Top Scholar Awards are recruitment awards made available by the Graduate School to help with the recruitment of outstanding applicants. This year’s Top Scholar awardees are Andrew Crites, Steven Klee, Laura Matrajt, Sweta Suryanarayan, and Travis Willse. Eleven Mathematics graduate students are VIGRE fellows this year. VIGRE fellowships are funded by a joint grant to the UW departments of Applied Math- ematics, Mathematics, and Statistics from the VIGRE program of the National Science Foundation. Each award provides fellowship support, without teaching Profs. Monty McGovern (far left) and Tom Du- champ (far right) with Academic Excellence and Excellence in Teaching Awardees (beginning 2nd from left) Jeremy Berquist, James Vargo, Edwin O'Shea, Kristofer Reed, and Jacob Lewis. 4 Undergraduate Program Undergraduate education in mathematics continues to thrive at UW. Our calculus curriculum revision reached two important milestones in the
Recommended publications
  • 2006 Annual Report
    Contents Clay Mathematics Institute 2006 James A. Carlson Letter from the President 2 Recognizing Achievement Fields Medal Winner Terence Tao 3 Persi Diaconis Mathematics & Magic Tricks 4 Annual Meeting Clay Lectures at Cambridge University 6 Researchers, Workshops & Conferences Summary of 2006 Research Activities 8 Profile Interview with Research Fellow Ben Green 10 Davar Khoshnevisan Normal Numbers are Normal 15 Feature Article CMI—Göttingen Library Project: 16 Eugene Chislenko The Felix Klein Protocols Digitized The Klein Protokolle 18 Summer School Arithmetic Geometry at the Mathematisches Institut, Göttingen, Germany 22 Program Overview The Ross Program at Ohio State University 24 PROMYS at Boston University Institute News Awards & Honors 26 Deadlines Nominations, Proposals and Applications 32 Publications Selected Articles by Research Fellows 33 Books & Videos Activities 2007 Institute Calendar 36 2006 Another major change this year concerns the editorial board for the Clay Mathematics Institute Monograph Series, published jointly with the American Mathematical Society. Simon Donaldson and Andrew Wiles will serve as editors-in-chief, while I will serve as managing editor. Associate editors are Brian Conrad, Ingrid Daubechies, Charles Fefferman, János Kollár, Andrei Okounkov, David Morrison, Cliff Taubes, Peter Ozsváth, and Karen Smith. The Monograph Series publishes Letter from the president selected expositions of recent developments, both in emerging areas and in older subjects transformed by new insights or unifying ideas. The next volume in the series will be Ricci Flow and the Poincaré Conjecture, by John Morgan and Gang Tian. Their book will appear in the summer of 2007. In related publishing news, the Institute has had the complete record of the Göttingen seminars of Felix Klein, 1872–1912, digitized and made available on James Carlson.
    [Show full text]
  • A MATHEMATICIAN's SURVIVAL GUIDE 1. an Algebra Teacher I
    A MATHEMATICIAN’S SURVIVAL GUIDE PETER G. CASAZZA 1. An Algebra Teacher I could Understand Emmy award-winning journalist and bestselling author Cokie Roberts once said: As long as algebra is taught in school, there will be prayer in school. 1.1. An Object of Pride. Mathematician’s relationship with the general public most closely resembles “bipolar” disorder - at the same time they admire us and hate us. Almost everyone has had at least one bad experience with mathematics during some part of their education. Get into any taxi and tell the driver you are a mathematician and the response is predictable. First, there is silence while the driver relives his greatest nightmare - taking algebra. Next, you will hear the immortal words: “I was never any good at mathematics.” My response is: “I was never any good at being a taxi driver so I went into mathematics.” You can learn a lot from taxi drivers if you just don’t tell them you are a mathematician. Why get started on the wrong foot? The mathematician David Mumford put it: “I am accustomed, as a professional mathematician, to living in a sort of vacuum, surrounded by people who declare with an odd sort of pride that they are mathematically illiterate.” 1.2. A Balancing Act. The other most common response we get from the public is: “I can’t even balance my checkbook.” This reflects the fact that the public thinks that mathematics is basically just adding numbers. They have no idea what we really do. Because of the textbooks they studied, they think that all needed mathematics has already been discovered.
    [Show full text]
  • Tōhoku Rick Jardine
    INFERENCE / Vol. 1, No. 3 Tōhoku Rick Jardine he publication of Alexander Grothendieck’s learning led to great advances: the axiomatic description paper, “Sur quelques points d’algèbre homo- of homology theory, the theory of adjoint functors, and, of logique” (Some Aspects of Homological Algebra), course, the concepts introduced in Tōhoku.5 Tin the 1957 number of the Tōhoku Mathematical Journal, This great paper has elicited much by way of commen- was a turning point in homological algebra, algebraic tary, but Grothendieck’s motivations in writing it remain topology and algebraic geometry.1 The paper introduced obscure. In a letter to Serre, he wrote that he was making a ideas that are now fundamental; its language has with- systematic review of his thoughts on homological algebra.6 stood the test of time. It is still widely read today for the He did not say why, but the context suggests that he was clarity of its ideas and proofs. Mathematicians refer to it thinking about sheaf cohomology. He may have been think- simply as the Tōhoku paper. ing as he did, because he could. This is how many research One word is almost always enough—Tōhoku. projects in mathematics begin. The radical change in Gro- Grothendieck’s doctoral thesis was, by way of contrast, thendieck’s interests was best explained by Colin McLarty, on functional analysis.2 The thesis contained important who suggested that in 1953 or so, Serre inveigled Gro- results on the tensor products of topological vector spaces, thendieck into working on the Weil conjectures.7 The Weil and introduced mathematicians to the theory of nuclear conjectures were certainly well known within the Paris spaces.
    [Show full text]
  • A Mathematical Tonic
    NATURE|Vol 443|14 September 2006 BOOKS & ARTS reader nonplussed. For instance, he discusses a problem in which a mouse runs at constant A mathematical tonic speed round a circle, and a cat, starting at the centre of the circle, runs at constant speed Dr Euler’s Fabulous Formula: Cures Many mathematician. This is mostly a good thing: directly towards the mouse at all times. Does Mathematical Ills not many mathematicians know much about the cat catch the mouse? Yes, if, and only if, it by Paul Nahin signal processing or the importance of complex runs faster than the mouse. In the middle of Princeton University Press: 2006. 404 pp. numbers to engineers, and it is fascinating to the discussion Nahin suddenly abandons the $29.95, £18.95 find out about these subjects. Furthermore, it mathematics and puts a discrete approximation is likely that a mathematician would have got into his computer to generate some diagrams. Timothy Gowers hung up on details that Nahin cheerfully, and His justification is that an analytic formula for One of the effects of the remarkable success rightly, ignores. However, his background has the cat’s position is hard to obtain, but actu- of Stephen Hawking’s A Brief History Of Time the occasional disadvantage as well, such as ally the problem can be neatly solved without (Bantam, 1988) was a burgeoning of the mar- when he discusses the matrix formulation of such a formula (although it is good to have ket for popular science writing. It did not take de Moivre’s theorem, the fundamental result his diagrams as well).
    [Show full text]
  • 2012-13 Annual Report of Private Giving
    MAKING THE EXTRAORDINARY POSSIBLE 2012–13 ANNUAL REPORT OF PRIVATE GIVING 2 0 1 2–13 ANNUAL REPORT OF PRIVATE GIVING “Whether you’ve been a donor to UMaine for years or CONTENTS have just made your first gift, I thank you for your Letter from President Paul Ferguson 2 Fundraising Partners 4 thoughtfulness and invite you to join us in a journey Letter from Jeffery Mills and Eric Rolfson 4 that promises ‘Blue Skies ahead.’ ” President Paul W. Ferguson M A K I N G T H E Campaign Maine at a Glance 6 EXTRAORDINARY 2013 Endowments/Holdings 8 Ways of Giving 38 POSSIBLE Giving Societies 40 2013 Donors 42 BLUE SKIES AHEAD SINCE GRACE, JENNY AND I a common theme: making life better student access, it is donors like you arrived at UMaine just over two years for others — specifically for our who hold the real keys to the ago, we have truly enjoyed our students and the state we serve. While University of Maine’s future level interactions with many alumni and I’ve enjoyed many high points in my of excellence. friends who genuinely care about this personal and professional life, nothing remarkable university. Events like the surpasses the sense of reward and Unrestricted gifts that provide us the Stillwater Society dinner and the accomplishment that accompanies maximum flexibility to move forward Charles F. Allen Legacy Society assisting others to fulfill their are one of these keys. We also are luncheon have allowed us to meet and potential. counting on benefactors to champion thank hundreds of donors.
    [Show full text]
  • Sir Andrew J. Wiles
    ISSN 0002-9920 (print) ISSN 1088-9477 (online) of the American Mathematical Society March 2017 Volume 64, Number 3 Women's History Month Ad Honorem Sir Andrew J. Wiles page 197 2018 Leroy P. Steele Prize: Call for Nominations page 195 Interview with New AMS President Kenneth A. Ribet page 229 New York Meeting page 291 Sir Andrew J. Wiles, 2016 Abel Laureate. “The definition of a good mathematical problem is the mathematics it generates rather Notices than the problem itself.” of the American Mathematical Society March 2017 FEATURES 197 239229 26239 Ad Honorem Sir Andrew J. Interview with New The Graduate Student Wiles AMS President Kenneth Section Interview with Abel Laureate Sir A. Ribet Interview with Ryan Haskett Andrew J. Wiles by Martin Raussen and by Alexander Diaz-Lopez Allyn Jackson Christian Skau WHAT IS...an Elliptic Curve? Andrew Wiles's Marvelous Proof by by Harris B. Daniels and Álvaro Henri Darmon Lozano-Robledo The Mathematical Works of Andrew Wiles by Christopher Skinner In this issue we honor Sir Andrew J. Wiles, prover of Fermat's Last Theorem, recipient of the 2016 Abel Prize, and star of the NOVA video The Proof. We've got the official interview, reprinted from the newsletter of our friends in the European Mathematical Society; "Andrew Wiles's Marvelous Proof" by Henri Darmon; and a collection of articles on "The Mathematical Works of Andrew Wiles" assembled by guest editor Christopher Skinner. We welcome the new AMS president, Ken Ribet (another star of The Proof). Marcelo Viana, Director of IMPA in Rio, describes "Math in Brazil" on the eve of the upcoming IMO and ICM.
    [Show full text]
  • PRESENTAZIONE E LAUDATIO DI DAVID MUMFOD by ALBERTO
    PRESENTAZIONE E LAUDATIO DI DAVID MUMFOD by ALBERTO CONTE David Mumford was born in 1937 in Worth (West Sussex, UK) in an old English farm house. His father, William Mumford, was British, ... a visionary with an international perspective, who started an experimental school in Tanzania based on the idea of appropriate technology... Mumford's father worked for the United Nations from its foundations in 1945 and this was his job while Mumford was growing up. Mumford's mother was American and the family lived on Long Island Sound in the United States, a semi-enclosed arm of the North Atlantic Ocean with the New York- Connecticut shore on the north and Long Island to the south. After attending Exeter School, Mumford entered Harvard University. After graduating from Harvard, Mumford was appointed to the staff there. He was appointed professor of mathematics in 1967 and, ten years later, he became Higgins Professor. He was chairman of the Mathematics Department at Harvard from 1981 to 1984 and MacArthur Fellow from 1987 to 1992. In 1996 Mumford moved to the Division of Applied Mathematics of Brown University where he is now Professor Emeritus. Mumford has received many honours for his scientific work. First of all, the Fields Medal (1974), the highest distinction for a mathematician. He was awarded the Shaw Prize in 2006, the Steele Prize for Mathematical Exposition by the American Mathematical Society in 2007, and the Wolf Prize in 2008. Upon receiving this award from the hands of Israeli President Shimon Peres he announced that he will donate the money to Bir Zeit University, near Ramallah, and to Gisha, an Israeli organization that advocates for Palestinian freedom of movement, by saying: I decided to donate my share of the Wolf Prize to enable the academic community in occupied Palestine to survive and thrive.
    [Show full text]
  • Density of Algebraic Points on Noetherian Varieties 3
    DENSITY OF ALGEBRAIC POINTS ON NOETHERIAN VARIETIES GAL BINYAMINI Abstract. Let Ω ⊂ Rn be a relatively compact domain. A finite collection of real-valued functions on Ω is called a Noetherian chain if the partial derivatives of each function are expressible as polynomials in the functions. A Noether- ian function is a polynomial combination of elements of a Noetherian chain. We introduce Noetherian parameters (degrees, size of the coefficients) which measure the complexity of a Noetherian chain. Our main result is an explicit form of the Pila-Wilkie theorem for sets defined using Noetherian equalities and inequalities: for any ε> 0, the number of points of height H in the tran- scendental part of the set is at most C ·Hε where C can be explicitly estimated from the Noetherian parameters and ε. We show that many functions of interest in arithmetic geometry fall within the Noetherian class, including elliptic and abelian functions, modular func- tions and universal covers of compact Riemann surfaces, Jacobi theta func- tions, periods of algebraic integrals, and the uniformizing map of the Siegel modular variety Ag . We thus effectivize the (geometric side of) Pila-Zannier strategy for unlikely intersections in those instances that involve only compact domains. 1. Introduction 1.1. The (real) Noetherian class. Let ΩR ⊂ Rn be a bounded domain, and n denote by x := (x1,...,xn) a system of coordinates on R . A collection of analytic ℓ functions φ := (φ1,...,φℓ): Ω¯ R → R is called a (complex) real Noetherian chain if it satisfies an overdetermined system of algebraic partial differential equations, i =1,...,ℓ ∂φi = Pi,j (x, φ), (1) ∂xj j =1,...,n where P are polynomials.
    [Show full text]
  • Notices of the American Mathematical Society
    June 18 and 19)- Page 341 Vl 0 ~ Mathematical Society Calendar of AMS Meetings THIS CALENDAR lists all meetings which have been approved by the Council prior to the date this issue of the Notices was sent to press. The summer and annual meetings are joint meetings of the Mathematical Association of America and the Ameri· can Mathematical Society. The meeting dates which fall rather far in the future are subject to change; this is particularly true of meetings to which no numbers have yet been assigned. Programs of the meetings will appear in the issues indicated below. First and second announcements of the meetings will have appeared in earlier issues. ABSTRACTS OF PAPERS presented at a meeting of the Society are published in the journal Abstracts of papers presented to the American Mathematical Society in the issue corresponding to that of the Notices which contains the program of the meet­ ing. Abstracts should be submitted on special forms which are available in many departments of mathematics and from the office of the Society in Providence. Abstracts of papers to be presented at the meeting must be received at the headquarters of the Society in Providence, Rhode Island, on or before the deadline given below for the meeting. Note that the deadline for ab· stracts submitted for consideration for presentation at special sessions is usually three weeks earlier than that specified below. For additional information consult the meeting announcement and the list of organizers of special sessions. MEETING ABSTRACT NUMBER DATE PLACE DEADLINE
    [Show full text]
  • January 2011 Prizes and Awards
    January 2011 Prizes and Awards 4:25 P.M., Friday, January 7, 2011 PROGRAM SUMMARY OF AWARDS OPENING REMARKS FOR AMS George E. Andrews, President BÔCHER MEMORIAL PRIZE: ASAF NAOR, GUNTHER UHLMANN American Mathematical Society FRANK NELSON COLE PRIZE IN NUMBER THEORY: CHANDRASHEKHAR KHARE AND DEBORAH AND FRANKLIN TEPPER HAIMO AWARDS FOR DISTINGUISHED COLLEGE OR UNIVERSITY JEAN-PIERRE WINTENBERGER TEACHING OF MATHEMATICS LEVI L. CONANT PRIZE: DAVID VOGAN Mathematical Association of America JOSEPH L. DOOB PRIZE: PETER KRONHEIMER AND TOMASZ MROWKA EULER BOOK PRIZE LEONARD EISENBUD PRIZE FOR MATHEMATICS AND PHYSICS: HERBERT SPOHN Mathematical Association of America RUTH LYTTLE SATTER PRIZE IN MATHEMATICS: AMIE WILKINSON DAVID P. R OBBINS PRIZE LEROY P. S TEELE PRIZE FOR LIFETIME ACHIEVEMENT: JOHN WILLARD MILNOR Mathematical Association of America LEROY P. S TEELE PRIZE FOR MATHEMATICAL EXPOSITION: HENRYK IWANIEC BÔCHER MEMORIAL PRIZE LEROY P. S TEELE PRIZE FOR SEMINAL CONTRIBUTION TO RESEARCH: INGRID DAUBECHIES American Mathematical Society FOR AMS-MAA-SIAM LEVI L. CONANT PRIZE American Mathematical Society FRANK AND BRENNIE MORGAN PRIZE FOR OUTSTANDING RESEARCH IN MATHEMATICS BY AN UNDERGRADUATE STUDENT: MARIA MONKS LEONARD EISENBUD PRIZE FOR MATHEMATICS AND OR PHYSICS F AWM American Mathematical Society LOUISE HAY AWARD FOR CONTRIBUTIONS TO MATHEMATICS EDUCATION: PATRICIA CAMPBELL RUTH LYTTLE SATTER PRIZE IN MATHEMATICS M. GWENETH HUMPHREYS AWARD FOR MENTORSHIP OF UNDERGRADUATE WOMEN IN MATHEMATICS: American Mathematical Society RHONDA HUGHES ALICE T. S CHAFER PRIZE FOR EXCELLENCE IN MATHEMATICS BY AN UNDERGRADUATE WOMAN: LOUISE HAY AWARD FOR CONTRIBUTIONS TO MATHEMATICS EDUCATION SHERRY GONG Association for Women in Mathematics ALICE T. S CHAFER PRIZE FOR EXCELLENCE IN MATHEMATICS BY AN UNDERGRADUATE WOMAN FOR JPBM Association for Women in Mathematics COMMUNICATIONS AWARD: NICOLAS FALACCI AND CHERYL HEUTON M.
    [Show full text]
  • The Top Mathematics Award
    Fields told me and which I later verified in Sweden, namely, that Nobel hated the mathematician Mittag- Leffler and that mathematics would not be one of the do- mains in which the Nobel prizes would The Top Mathematics be available." Award Whatever the reason, Nobel had lit- tle esteem for mathematics. He was Florin Diacuy a practical man who ignored basic re- search. He never understood its impor- tance and long term consequences. But Fields did, and he meant to do his best John Charles Fields to promote it. Fields was born in Hamilton, Ontario in 1863. At the age of 21, he graduated from the University of Toronto Fields Medal with a B.A. in mathematics. Three years later, he fin- ished his Ph.D. at Johns Hopkins University and was then There is no Nobel Prize for mathematics. Its top award, appointed professor at Allegheny College in Pennsylvania, the Fields Medal, bears the name of a Canadian. where he taught from 1889 to 1892. But soon his dream In 1896, the Swedish inventor Al- of pursuing research faded away. North America was not fred Nobel died rich and famous. His ready to fund novel ideas in science. Then, an opportunity will provided for the establishment of to leave for Europe arose. a prize fund. Starting in 1901 the For the next 10 years, Fields studied in Paris and Berlin annual interest was awarded yearly with some of the best mathematicians of his time. Af- for the most important contributions ter feeling accomplished, he returned home|his country to physics, chemistry, physiology or needed him.
    [Show full text]
  • Ten Mathematical Landmarks, 1967–2017
    Ten Mathematical Landmarks, 1967{2017 MD-DC-VA Spring Section Meeting Frostburg State University April 29, 2017 Ten Mathematical Landmarks, 1967{2017 Nine, Eight, Seven, and Six Nine: Chaos, Fractals, and the Resurgence of Dynamical Systems Eight: The Explosion of Discrete Mathematics Seven: The Technology Revolution Six: The Classification of Finite Simple Groups Ten Mathematical Landmarks, 1967{2017 Five: The Four-Color Theorem 1852-1976 1852: Francis Guthrie's conjecture: Four colors are sufficient to color any map on the plane in such a way that countries sharing a boundary edge (not merely a corner) must be colored differently. 1878: Arthur Cayley addresses the London Math Society, asks if the Four-Color Theorem has been proved. 1879: A. B. Kempe publishes a proof. 1890: P. J. Heawood notes that Kempe's proof has a serious gap in it, uses same method to prove the Five-Color Theorem for planar maps. The Four-Color Conjecture remains open. 1891: Heawood makes a conjecture about coloring maps on the surfaces of many-holed tori. 1900-1950's: Many attempts to prove the 4CC (Franklin, George Birkhoff, many others) give a jump-start to a certain branch of topology called Graph Theory. The latter becomes very popular. Ten Mathematical Landmarks, 1967{2017 Five: The Four-Color Theorem (4CT) The first proof By the early 1960s, the 4CC was proved for all maps with at most 38 regions. In 1969, H. Heesch developed the two main ingredients needed for the ultimate proof, namely reducibility and discharging. He also introduced the idea of an unavoidable configuration.
    [Show full text]