41. Luboš Motl's Reference Frame: Beauty, Fields Medal, Witten, And Woit Let s start with topological string theory and the fields medal because this isthe most A paper that Peter Woit believes is behind the fields medal is http://motls.blogspot.com/2004/10/beauty-fields-medal-witten-and-woit.html

@import url("http://www.blogger.com/css/blog_controls.css"); @import url("http://www.blogger.com/dyn-css/authorization.css?blogID=8666091"); @import url(http://www.blogger.com/css/navbar/main.css); @import url(http://www.blogger.com/css/navbar/1.css); Notify Blogger about objectionable content. What does this mean? BlogThis! Luboš Motl's reference frame The most important events in our and your superstringy Universe as seen from Luboš Motl's reference frame Tuesday, October 26, 2004 Beauty, Fields medal, Witten, and Woit I've sorted the keywords in the title alphabetically. After Peter Woit read my words about the beauty of string theory , he wrote his own essay about beauty and string theory . If even Peter Woit meditates about the beauty of superstrings, it proves that we're definitely making some sort of progress, at least in the P.R. business! :-) Note added later: After Peter Woit looked at this page about the links between mathematics and string theory, he wrote his own version of history of topological field (and string) theories. His picture of the history has one serious problem: it ends in 1989, and no newer insights are taken into account. Why is the end of history exactly in 1989? You might think that it may be related to the collapse of communism. Well, that's not the real reason. You will understand the correct explanation why the history of maths and physics after 1989, according to Peter Woit, does not exist, if you look here Let me now return to Peter's first article about the beauty of string theory. He divides the problem into five main categories:

42. Jewish Fields Medalists JEWISH WINNERS OF THE fields medal IN MATHEMATICS (27% of recipients) Douglas,who was the first recipient of a fields medal, was born in New York City http://www.jinfo.org/Fields_Mathematics.html

JEWISH WINNERS OF THE FIELDS MEDAL IN MATHEMATICS (27% of recipients) Jesse Douglas Laurent Schwartz (1950) Klaus Roth (1958) Paul Cohen (1966) Alexander Grothendieck Charles Fefferman (1978) Gregori Margulis (1978) Michael Freedman Vladimir Drinfeld (1990) Edward Witten (1990) Efim Zelmanov (1994) Maxim Kontsevich NOTES According to the obituary notice for Jesse Douglas published in the October 8, 1965 edition of The New York Herald Tribune , he died at Mount Sinai Hospital in Manhattan and his funeral was held the following day at the "The Riverside" (the largest exclusively Jewish funeral chapel in New York City). Douglas, who was the first recipient of a Fields Medal, was born in New York City and educated at the City College of New York and at Columbia University. His entry in the 1964-1965 edition of Marquis Who's Who in America indicates that his mother's maiden name was Sarah Kommel. The name "Kommel" is most frequently found among Jews originating in the Pale of Settlement; see A Dictionary of Jewish Surnames from the Russian Empire , by Alexander Beider (Avotaynu, Inc., Teaneck NJ, 1993, p. 326). The death notice lists a brother, Dr. Harold Douglas, and a sister, Pearl Schweizer, among his survivors. Dr. Harold Douglas maintained medical offices at Beth Israel Medical Center in lower Manhattan.

43. Fields Medals Stellan Skarasgård) an established mathematician and fields medal winner.What exactly is a fields medal? fields medals are awarded by the International http://plus.maths.org/issue6/news/fields/

about Plus support Plus ... Plus search plus with google home latest issue explore the archive ... news Permission is granted to print and copy this page on paper for non-commercial use. For other uses, including electronic redistribution, please contact us. Latest news Spaghetti breakthrough What happens to bent pasta? How to measure a million The risks in Who wants to be a millionaire? Not just knots: the secrets of khipu The Inka way of counting Machine prose A computer program that can learn languages A new time machine Take a journey to the limits of common sense Gene-ius The search for the maths gene Plus... more news from the world of maths Explore the news archive Subscribe to our free newsletter Get the ... posters! September 1998 News Fields medals In the film "Good Will Hunting", starring Matt Damon and Robin Williams, Will Hunting What exactly is a Fields medal? Fields medals are awarded by the International Mathematical Union every four years and are regarded as the most prestigious prize attainable by mathematicians worldwide, akin to the Nobel prize. The most recent awards were announced on 18th August and two UK-based mathematicians were amongst the four people honoured. Professor Richard Borcherds and Professor Tim Gowers both work at the Department of Pure Maths and Mathematical Statistics at the University of Cambridge.

44. A Fields Of Their Own The fields medal, known as the Nobel prize of Mathematics, has been awarded The fields medals were proposed by the Canadian mathematician John Fields to http://plus.maths.org/issue21/news/prize/

about Plus support Plus ... Plus search plus with google home latest issue explore the archive ... news Permission is granted to print and copy this page on paper for non-commercial use. For other uses, including electronic redistribution, please contact us. Latest news Spaghetti breakthrough What happens to bent pasta? How to measure a million The risks in Who wants to be a millionaire? Not just knots: the secrets of khipu The Inka way of counting Machine prose A computer program that can learn languages A new time machine Take a journey to the limits of common sense Gene-ius The search for the maths gene Plus... more news from the world of maths Explore the news archive Subscribe to our free newsletter Get the ... posters! September 2002 News A Fields of their own Laurent Lafforgue after the ceremony The Fields Medal, known as the Nobel prize of Mathematics, has been awarded to two mathematicians for their work bringing together disparate branches of mathematics. Laurent Lafforgue from the Institute of Advanced Scientific Studies , France, and Vladimir Voevodsky from the Institute of Advanced Study in Princeton received their awards from the President of China, Jiang Zemin, at the

45. Fields Medal John Charles Fields Will established the fields medal, which has played the role fields medals were not awarded during World War II so the second Fields http://alas.matf.bg.ac.yu/~mm97106/math/fieldsm.htm

The Fields Medal John Charles Fields Will established the Fields Medal, which has played the role of the Nobel Prize in Mathematics. The International Congress of Mathematicians at Zurich in 1932 adopted his proposal, and the Fields Medal was first awarded at the next congress, held at Oslo in 1936. Fields Medals were not awarded during World War II so the second Fields Medals were not awarded until 1950. Fields wished that the awards should recognize both existing mathematical work and also the promise of future achievement. To fit with these wishes Fields Medals may only be awarded to mathematicans under the age of 40. The winners of the medals are given below. 1936 Lars Valerian Ahlfors (1907-1996) Finland 1936 Jesse Douglas (1897-1965) USA 1950 Laurent Schwartz (1915) France 1950 Atle Selberg (1917) Norway 1954 Kunihiko Kodaira (1915-1997) Japan 1954 Jean-Pierre Serre (1926) France 1958 Klaus Friedrich Roth (1925) England 1958 Reni Thom (1923) France 1962 Lars Hvrmander (1931) Sweden 1962 John Willard Milnor (1931) USA 1966 Michael Francis Atiyah (1929) England 1966 Paul Joseph Cohen (1934) USA 1966 Alexander Grothendieck (1928) Germany 1966 Stephen Smale (1930) USA 1970 Alen Baker (1939) England 1970 Heisuke Hironaka (1931) Japan 1970 Sergi Petrovich Novikov (1938) Russia 1970 John Griggs Thompson (1932) USA 1974 Enrico Bombieri (1946) Italy 1974 David Bryant Mumford (1937) England 1978 Pierre Reni Deligne (1944) Belgium 1978 Charles Louis Fefferman (1949) USA

46. New Faculty Member Zelmanov Wins Fields Medal New faculty member Zelmanov wins fields medal is one of four recipients ofthe 1994 fields medal, which is considered the world s most prestigious prize http://chronicle.uchicago.edu/940818/zelmanov.shtml

Vol. 14, No. 2 current issue archive / search contact New faculty member Zelmanov wins Fields Medal Efim Zelmanov, who joined the faculty as Professor in Mathematics on July 1, is one of four recipients of the 1994 Fields Medal, which is considered the world's most prestigious prize for mathematics and is often compared to the Nobel Prize. Zelmanov was honored for his work in the field of abstract algebra, including group theory, and specifically for his proof of the Restricted Burnside Problem, where he showed that certain mathematical constructs known as periodic groups are finite. Jonathan Alperin, Professor in Mathematics, called Zelmanov's solution of the Restricted Burnside Problem "a tremendous breakthrough and a real triumph." "His proof is awesome," Alperin said, "and at a level completely ahead of any previous work in algebra. It is notable for its sheer power, but also for the volcano of new techniques he developed to bring it to completion. His single effort has completely changed and advanced the whole field of algebra and given us a whole new field on which to operate." Zelmanov said, "I am very proud to have been selected for this award. And I am also pleased that this is a recognition of the field of algebra.

47. MSN Encarta - Multimedia - Fields Medal fields medal. This international prize for achievement in the field of mathematicsis awarded every four years by the International Mathematical Union at http://encarta.msn.com/media_701500900/Fields_Medal.html

MSN Home My MSN Hotmail Shopping ... Sign In Web Search: Encarta Subscriber Sign In Help Home ... Upgrade your Encarta Experience Search Encarta Multimedia from Encarta Appears in Fields Medal This international prize for achievement in the field of mathematics is awarded every four years by the International Mathematical Union at the International Congress of Mathematicians. The awards recognize both existing work as well as the promise of future achievement and are presented during the year of the congress to mathematicians under the age of 40. Year Winner(s) Lars Ahlfors (Finland); Jesse Douglas (United States) Atle Selberg (United States); Laurent Schwartz (France) Kunihiko Kodaira (United States); Jean-Pierre Serre (France) Klaus Roth (United Kingdom); Ren© Thom (France) Lars H¶rmander (Sweden); John Milnor (United States) Michael Atiyah (United Kingdom); Paul J. Cohen (United States); Alexander Grothendieck (France); Stephen Smale (United States) Alan Baker (United Kingdom); Heisuke Hironaka (United States); Sergei Novikov (USSR); John G. Thompson (United States) Enrico Bombieri (Italy); David Mumford (United States)

48. Fields Medals 2002 fields medals 2002. Paris, August 19, 2002. Laurent Lafforgue, a French mathematicianand tenured He has been awarded the 2002 fields medal at age 35. http://www.cnrs.fr/cw/en/pres/compress/FieldsLafforgue.htm

Press release Fields Medals 2002 Paris, August 19, 2002 Various conjectures in the Langlands correspondence have been solved, but the recent contribution from Laurent Lafforgue is one of the most spectacular. For his demonstration, which he completed in 2000, Laurent Lafforgue built on the work of Ukrainian mathematician Vladimir Drinfeld (1990 Fields Medalist). Laurent Lafforgue joined the CNRS in 1990 at the Orsay "Laboratoire de mathématiques" (jointly-run CNRS and Université de Paris-Sud research laboratory). In 2000 he became a tenured professor at IHÉS. CNRS Press contact : Magali Sarazin Tel : +33 1 44 96 46 06 e-mail : magali.sarazin@cnrs-dir.fr IHES Press contact : Nathalie Levallois Tel : +33 1 60 92 66 67 e-mail : levallois@ihes.fr

49. Fields Medal --  Encyclopædia Britannica fields medal award granted to between two and four mathematicians for outstandingor seminal research. The fields medal is often referred to as the http://www.britannica.com/eb/article-9034216

Home Browse Newsletters Store ... Subscribe Already a member? Log in Content Related to this Topic This Article's Table of Contents Fields Medal Print this Table of Contents Shopping Price: USD $1495 Revised, updated, and still unrivaled. The Official Scrabble Players Dictionary (Hardcover) Price: USD $15.95 The Scrabble player's bible on sale! Save 30%. Merriam-Webster's Collegiate Dictionary Price: USD $19.95 Save big on America's best-selling dictionary. Discounted 38%! More Britannica products Fields Medal Page 1 of 1 Fields Medal, (left) obverse and (right) reverse By permission of the University of Toronto officially known as International Medal for Outstanding Discoveries in Mathematics award granted to between two and four mathematicians for outstanding or seminal research. The Fields Medal is often referred to as the mathematical equivalent of the Nobel Prize, but it is granted only every four years and is given, by tradition, to mathematicians under the age of 40, rather than to more senior scholars. John Charles Fields.

50. Fields Medal -- Facts, Info, And Encyclopedia Article fields medal. Categories Mathematics awards, Prizes The fields medal is aprize awarded to up to four (A person skilled in mathematics) mathematicians http://www.absoluteastronomy.com/encyclopedia/f/fi/fields_medal.htm

Fields Medal [Categories: Mathematics awards, Prizes] The Fields Medal is a prize awarded to up to four (A person skilled in mathematics) mathematician s (not over forty years of age) at each (Click link for more info and facts about International Congress) International Congress of (Click link for more info and facts about International Mathematical Union) International Mathematical Union , since 1936 and regularly since 1948 at the initiative of the Canadian mathematician (Click link for more info and facts about John Charles Fields) John Charles Fields . The purpose is to give recognition and support to young mathematical researchers having already made important contributions. Year Location Winners (Capital of the People's Republic of China in the Hebei province in northeastern China; 2nd largest Chinese city) Beijing (A communist nation that covers a vast territory in eastern Asia; the most populous country in the world) China (Click link for more info and facts about Laurent Lafforgue) Laurent Lafforgue (Click link for more info and facts about Vladimir Voevodsky) Vladimir Voevodsky (Capital of Germany located in eastern Germany) Berlin (A republic in central Europe; split into East German and West Germany after World War II and reunited in 1990)

51. 08.26.98 - Berkeley Math Whiz Garners Fields Medal From the pubDate issue of Berkeleyan, the faculty staff newspaper of the Universityof California, Berkeley. Berkvolume, Berknum. http://www.berkeley.edu/news/berkeleyan/1998/0826/whiz.html

This Week's Stories: Take our online survey! Berkeley Math Whiz Garners Fields Medal Campus Needs $35 Million Network Upgrade, Says Report Faculty Profile: Lydia Chavez Boalt Hall Increases Minority Enrollment Mr. Rogers' Neighborhood ... Two New Search Engines Can Help You Find Campus Info Regular Features Awards News Briefs Berkeley Math Whiz Garners Fields Medal by Robert Sanders, Public Affairs posted August 26, 1998 Richard Borcherds and three other mathematicians received the Fields Medal, often called the Nobel Prize of mathematics, Aug. 18 at an international conference in Berlin. A faculty member since 1993, Borcherds received the medal for his work in the fields of algebra and geometry, in particular for his proof of the so-called "Monstrous Moonshine" conjecture. He joins two previous Fields Medalists at Berkeley, Steven Smale and Vaughan Jones. The medal, the highest scientific award for mathematicians, is awarded every four years at the International Congress of Mathematicians to a mathematician no older than 40. The medal and a prize of 15,000 Canadian dollars were presented at the opening ceremony of the congress in Berlin to Borcherds and to mathematicians Maxim Kontsevich, William Timothy Gowers and Curtis McMullen. Until recently, Kontsevich and McMullen also were on the Berkeley faculty. Kontsevich left in 1997 to become a permanent professor at the Institut des Hautes Etudes in Paris. McMullen resigned in July to accept a position at Harvard University.

52. 08.19.98 - UC Berkeley Professor Wins Highest Honor In Mathematics, The Prestigi BERKELEY The fields medal, often called the Nobel Prize of He joins twoprevious fields medalists at UC Berkeley, Stephen Smale and Vaughan Jones. http://www.berkeley.edu/news/media/releases/98legacy/08-19-1998a.html

NEWS RELEASE, 08/19/98 UC Berkeley professor wins highest honor in mathematics, the prestigious Fields Medal By Robert Sanders, Public Affairs BERKELEY The Fields Medal, often called the Nobel Prize of mathematics, was awarded yesterday (Tuesday, Aug. 18) at an international conference in Berlin to a professor at the University of California, Berkeley, and to three other mathematicians. Richard Ewen Borcherds, a professor of mathematics at UC Berkeley since 1993, received the medal for his work in the fields of algebra and geometry, in particular for his proof of the so-called "Monstrous Moonshine" conjecture. He joins two previous Fields Medalists at UC Berkeley, Stephen Smale and Vaughan Jones. The medal , the highest scientific award for mathematicians, is awarded every four years at the International Congress of Mathematicians to a mathematician no older than 40. The medal and a prize of 15,000 Canadian dollars were presented at the opening ceremony of the congress in Berlin to Borcherds and to mathematicians Maxim Kontsevich, William Timothy Gowers and Curtis T. McMullen. Until recently, Kontsevich and McMullen also were on the UC Berkeley faculty. Kontsevich left UC Berkeley in 1997 to become a permanent professor at the Institut des Hautes Etudes in Paris. McMullen resigned in July to accept a position at Harvard University.

53. European Academy Of Sciences It is largely recognized that the fields medal is equivalent to Nobel The fields medal represents the highest award given in mathematical sciences. http://www.eurasc.org/media.htm

EAS European Academy of Sciences Home Page Objectives Bylaws Structure ... Contact us News President's Seasons greetings (more...) The World Bank invites EAS President (more...) ... more... A permanent representative to EAS from Croatia ( more... Latvian Academy of Sciences appoints a permanent representative to EAS ( more... The Government of Ukraine appoints a permanent representative to EAS (more...) Annals 2004 are published (table of content Three Fields Medalists are Members of the European Academy of Sciences. At the 1924 International Congress of Mathematicians (ICM), it was decided that at each ICM, two gold medals should be awarded to recognize outstanding mathematical achievement. Professor J. C. Fields, a Canadian mathematician who was Secretary of the 1924 Congress, later donated funds establishing the medals which were named in his honor. Consistent with Fields's wish that the awards recognize both existing work and the promise of future achievement, it was agreed to restrict the medals to mathematicians not over forty at the year of the Congress. In 1966 it was agreed that, in light of the great expansion of mathematical research, up to four medals could be awarded at each Congress. It is largely recognized that the Fields Medal is equivalent to Nobel Prize if it were awarded to mathematicians. Enrico Bombieri Sergi Novikov Novikov obtained his first degree in 1960 and then became a research student at the Steklov Institute of Mathematics in Moscow. In 1960-61 he [5]:- ... studied the writings of Whitney, Pontryagin, Thom and Milnor, all of which are written with great clarity. The completeness of the proofs in these papers was achieved with no detriment to understanding and without any artificial formalisation.

54. Fields Medal In 1998 she received the Michael Faraday medal from the Royal Society for makingthe most significant contribution to the public understanding of science, http://www.eurasc.org/Greenfield.htm

SUSAN A. GREENFIELD st Century technology is changing the way we think and feel’ (Penguin 2003), explores human nature, and its potential vulnerability in an age of technology. Greenfield has also developed an interest in science policy. In March 1999 she was invited by the Prime Minster to give a consultative seminar on ‘The Future of Science’ at No 10 Downing Street and, in 2004/5, was involved in the ‘Science and the Economy’ seminars at No 11. In 2000 she was in consultation with the Government on science funding, and subsequently requested by the Prime Minister to submit a memorandum ‘Genetics, Science and Risks’. In response to a request in 2002 from the Secretary of State for Trade and Industry, she produced the Greenfield Report ‘SET Fair: A Report on Women in Science, Engineering, and Technology’. She has been a Forum Fellow at the World Economic Conference at Davos for the last 5 years. In the Millennium New Year’s Honours List she was awarded a CBE, and was granted a non-political Life Peerage in 2001. In 2003 she was awarded the Ordre National de la Legion d’Honneur.

55. Pravda.RU Russian Wins Fields Medal b Nobel equivalent for mathematics /b br A Frenchman and a Russian living inthe USA have been awarded the fields medal 2002, which is considered as the http://english.pravda.ru/cis/2002/08/24/35179.html

Aug, 24 2002 In Russian Em Portugues Russia World ... About Pravda.RU:Top Stories:More in detail Russian wins Fields Medal A Frenchman and a Russian living in the USA have been awarded the Fields Medal 2002, which is considered as the equivalent for the Nobel Prize in the area of mathematics. The names of Laurent Lafforgue and Vladimir Voevodsky were revealed for the prize, which is given every four years to mathematicians under 40 years of age, at the opening ceremony of the International Congress for Mathematicians, in Beijing. They had been nominated by the National Centre of Scientific Investigation, USA and the Institute of High Scientific Studies, in Paris. Timofei BYELO PRAVDA.Ru Related links: IndianExpress : AIDS: mathematics to the rescue Mathematics And The National Missile Defense System Articles on the same subject on News.Google.Com: Printing version you may discuss the article in our forum Send it to a friend! Pravda.RU:Top Stories Tajik President considers criminal exploitation of people as bringing shame on country President of Tajikistan Emomali Rakhmonov stated on Saturday at the plenum of the Executive Committee of the People's Democratic Party that exploitation of people for illegal or criminal purposes brought shame on the country, a RIA Novosti correspondent reports

56. AoPS Math Forum :: View Topic - Age Limit On Fields Medal well,dont u ppl think that the age limit of 40 for teh fields medal is a bit tooharsh The problems with the current set up of the fields medal are, http://www.artofproblemsolving.com/Forum/topic-3425.html

Register now for the 2005-06 USA Mathematical Talent Search. Click here to go to the USAMTS website Font Size: The time now is Fri Sep 16, 2005 11:21 pm All times are GMT - 7 Hours age limit on fields medal Mark the topic unread Math Forum Olympiad Section ... International Mathematical Olympiad Moderators: Arne orl Page of [13 Posts] Printer View Tell a Friend View previous topic View next topic Author Message abelian New Member Joined: 29 Jan 2004 Posts: 6 Posted: Fri Jan 30, 2004 4:38 am Post subject: age limit on fields medal well,dont u ppl think that the age limit of 40 for teh fields medal is a bit too harsh,imagine ppl like andrew wiles and dan voiculescu not getting the deserved medal. dont see the reason behind keeping such a restriction what u thought to be the soothing light at the end of the tunnel, was just a freight train coming your way Back to top Valentin Vornicu Admin Joined: 03 Feb 2003 Posts: 4356 Posted: Fri Jan 30, 2004 12:52 pm Post subject: to encourage young people. unfortunately those two were bad lucky, however they got all the credit they deserved NEW!!

57. Two Mathematicians Awarded Fields Medal Prize PDO France s Laurent Lafforgue and Vladimir Voevododsky from Russia won the2002 fields medal Prize at the opening ceremony of the 24th International http://english.people.com.cn/200208/20/eng20020820_101785.shtml

58. Methodology-ADRW2004 Alumni of an institution winning Nobel Prizes and fields medals. Alumni. 10%.Quality of Faculty. Staff of an institution winning Nobel Prizes and Fields http://ed.sjtu.edu.cn/rank/2004/Methodology.htm

59. Read This: Modern Mathematics In The Light Of The Fields Medals Read This! The MAA Online book review column review of title, by author. http://www.maa.org/reviews/fieldsmed.html

Search MAA Online MAA Home Read This! The MAA Online book review column Modern Mathematics in the Light of the Fields Medals by Michael Monastyrsky Reviewed by David P. Roberts Would you like a pocket guide to the frontiers of modern research in pure mathematics? What fields are hot, which researchers stand out, what results will be viewed always as major achievements? The book under review is such a book. The only previous book I would put in the same category is A Panorama of Pure Mathematics, as seen by N. Bourbaki , by Jean Dieudonné. Both books are very interesting, and I will describe Monastyrsky's new book by comparing it with Dieudonné's older and better-known book. Similarities Neither book is for the faint of heart. Both are aimed at readers wanting a serious tour of pure mathematics. Both, as a practical matter, assume that the reader has the technical knowledge and mathematical maturity at least of a very good student finishing an undergraduate degree. A driving force behind both books is the extremely ambitious desire to survey the entire landscape. To write a short book about the huge expanse of modern research, one has to make some hard choices as to what to include. Monastyrsky lets this choice be made by outside judges; he focuses on the achievements of the 38 Fields medalists through 1994. Dieudonné "yielded" to the judgement of a committee of which he was a co-founder; he focused on the mathematics covered by the 560 Bourbaki seminars through 1980.

60. Abel Prize Awarded The Mathematicians Nobel Third, the monetary prize that goes with the fields medal is considerably lessthan the Nobel Fourth, the fields medal does not come out of Scandinavia. http://www.maa.org/devlin/devlin_04_04.html

Search MAA Online MAA Home Devlin's Angle April 2004 Abel Prize Awarded: The Mathematicians' Nobel The Abel Prize, established by the Norwegian government in 2001 as an annual "Nobel Prize for Mathematics" and first awarded last year, will go this year to Professor Isadore Singer, 80, of MIT and Sir Michael Atiyah, 75, who has held an honorary position at the University of Edinburgh since he retired from Cambridge University a few years ago. The prize is being given for the work that led to the names Atiyah and Singer being forever linked in the field of mathematics: the "Atiyah-Singer Index Theorem", which they formulated and proved in a series of papers they published in the early 1960s. The Index Theorem provides a bridge between pure mathematics (differential geometry, topology, and analysis) and theoretical physics (quantum field theory) that has led to advances in both fields. The Norwegian Academy of Science, which oversees and manages the new prize, referred to the Index Theorem as "one of the great landmarks of 20th century mathematics". In fact, it is no exaggeration to say that the result changed the landscape of mathematics. Atiyah, who trained as an algebraic geometer and topologist, and Singer, who came from analysis, worked on ramifications of the theorem for twenty years. Sir Michael, quoted in an article in Britain's

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