1. About The Prizes fields medal and Rolf Nevanlinna Prizes At the 1924 International Congress of Mathematicians in Toronto, a resolution was adopted that at each ICM, two gold medals should be awarded to recognize outstanding mathematical achievement. http://elib.zib.de/IMU/medals

Fields Medal and Rolf Nevanlinna Prizes Fields Medal At the 1924 International Congress of Mathematicians in Toronto, a resolution was adopted 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. For more details about the origins of the Fields Medal we recommend the article: Henry S. Tropp, " The Origins and History of the Fields Medal ", Historia Mathematica 3 (1976) 167-181. The following text by Eberhard Knobloch describes the design of the medal: The Fields Medal Obverse: The head represents Archimedes facing right.

2. Sci.math FAQ: Fields' Medals December 8, 1994 Version 6.2 fields medal * Historical Introduction * Table of Awardees Historical Introduction http://www.faqs.org/faqs/sci-math-faq/fields

sci.math FAQ: Fields' Medals Newsgroups: sci.math sci.answers news.answers From: alopez-o@neumann.uwaterloo.ca (Alex Lopez-Ortiz) Subject: sci.math DI76Lo.92z@undergrad.math.uwaterloo.ca alopez-o@neumann.uwaterloo.ca Organization: University of Waterloo Followup-To: sci.math http://www.utoronto.ca/math/fields.html alopez-o@barrow.uwaterloo.ca alopez-o@barrow.uwaterloo.ca Sun Nov 20 20:45:48 EST 1994 By Archive-name By Author By Category By Newsgroup ... Help Send corrections/additions to the FAQ Maintainer: alopez-o@neumann.uwaterloo.ca Last Update March 05 2003 @ 01:20 AM

3. Fields Medal fields medal. John Charles Fields (18631932) was a Canadian mathematician, educated in Toronto, Paris, and Berlin. http://scidiv.bcc.ctc.edu/Math/FieldsMedal.html

Fields Medal John Charles Fields (1863-1932) was a Canadian mathematician, educated in Toronto, Paris, and Berlin. He spent the bulk of his academic career at The University of Toronto (with a brief stint at Johns Hopkins University). Fields did original research in the theory of algebraic functions that was influenced by his reknowned mentors, Fuchs, Schwarz, Frobenius and Plank. However, he was better known as an administrator/organizer and is remembered, primarily, for establishing a mathematical equivalent of the Nobel Prizes. Fields, in large part, was responsible for putting together the 1924 meeting of the International Congress of Mathematics in Toronto. Against Fields' wishes, German mathematicians were "black-balled" from participating in this conference. Fields was so troubled by this politicizing of mathematics that he proposed the institution of an award for mathematical achievement and promise that would emphasize the international character of the mathematical endeavor. He endowed such an award in his will, and the first Fields Medal was awarded at the International Congress of Mathematics meetings in Oslo in 1936. Traditionally, Fields Medals have gone to young mathematicians under the age of 40. The intent of the awards is to applaud the exceptional scope and quality of the recipients' work and to assist them in conducting further research.

4. 2002 Fields Medals And Nevanlinna Prize Awarded Article about the award of the fields medals to Laurent Lafforgue and Vladimir Voevodsky, and the Nevanlinna Prize to Madhu Sudan; with a summary of the prizewinners work and links to further details. http://www.maa.org/news/fields02.html

2002 Fields Medals and Nevanlinna Prize Awarded The Fields Medal is often described as "the Nobel prize for mathematics." Presented by the International Mathematical Union, the prize is named for the Canadian mathematician John Charles Fields (1863-1932), who chaired the committee that established the prize in 1931. Though there is no formal rule to this effect, Fields Medals have traditionally been presented to young mathematicians (no older than 40). The first of this year's Fields medalists, Laurent Lafforgue , was honored for making major advances in the "Langlands Program," based on a visionary set of conjectures by Robert Langlands that sketch out deep connections between number theory, analysis, and group representation theory. Lafforgue proved the global Langlands correspondence for function fields, building on the work of Vladimir Drinfeld (also a Fields medalist, in 1990). Lafforgue's work confirms the fundamental insights of Langlands and is an important step towards the realization of the full program. It is said to be "characterized by formidable technical power, deep insight, and a tenacious, systematic approach." The second 2002 Fields medalist is Vladimir Voevodsky . He was honored for developing a new cohomology theory for algebraic varieties. Voevodsky's "motivic cohomology" (the name is related to Alexander Grothendieck's visionary idea that there should exist objects, called "motives", that establish the connection between number theory and algebraic geomtry) builds on an idea first proposed by Andrei Suslin. Among other things, it creates a strong connection between algebraic varieties and algebra K-theory and it provides a framework for studying many new cohomology theories. One consequence of Voevodsky's work is a proof of the Milnor Conjecture, for many years the main open question in algebraic K-theory. His work is said to be "characterized by an ability to handle highly abstract ideas with ease and flexibility and to deploy those ideas in solving quite concrete mathematical problems."

5. About The Prizes fields medal and Rolf Nevanlinna Prizes. fields medal. The following text by EberhardKnobloch describes the design of the medal The fields medal. Obverse http://www.mathunion.org/medals/

6. Fields Medals And Nevanlinna Prize 1994 David Mumford of Harvard University, chair of the fields medal Committee and vicepresidentof the International Mathematical Union (IMU), called the medalists http://www.mathunion.org/medals/1994/

7. Dpmms: Baker University of Cambridge. Number theory, transcendence, logarithmic forms, effective methods, Diophantine geometry, Diophantine analysis. fields medal, FRS. http://www.dpmms.cam.ac.uk/site2000/Staff/baker01.html

STAFF LIST: PURE MATHEMATICS Alan Baker, FRS Title: Professor of Pure Mathematics Email a.baker@dpmms.cam.ac.uk Telephone (direct line): (+44) (0)1223.337974 Secretary: Mrs. M.Bailey (+44) (0) 1223.337994 Fax: (+44) (0)1223.337920 College: Trinity College Personal Home Page Courses Given, 2000-01 Graduate Students Research Interests: Keywords : Number theory, transcendence, logarithmic forms, effective methods, Diophantine geometry, Diophantine analysis. Long Description "Baker's Theorem'' on the linear independence of logarithms of algebraic numbers has been the key to a vast range of developments in number theory over the past thirty years. Amongst the most significant are applications to the effective solution of Diophantine equations, to the resolution of class-number problems, to the theory of p -adic L Return to Departmental Staff List Email: office@dpmms.cam.ac.uk Email: office@dpmms.cam.ac.uk

8. Fields Medal The fields medal John Charles Fields' Will established the fields medal, which has played the role of the Nobel Prize in Mathematics. http://www-groups.dcs.st-and.ac.uk/~history/Societies/FieldsMedal.html

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. In 1998 they were awarded to: Richard E. Borcherds (Cambridge Univ.), for his work in automorphic forms and mathematical physics William T. Gowers (Cambridge Univ.), for his work in functional analysis and combinatorics Maxim Kontsevich (Institut des Hautes Etudes Scientifiques and Rutgers Univ.), for his work in algebraic geometry, algebraic topology, and mathematical physics Curtis T. McMullen

9. Fields Medal The fields medal. John Charles Fields' Will established the fields medal,which has played the role of the Nobel Prize in Mathematics. http://www-gap.dcs.st-and.ac.uk/~history/Societies/FieldsMedal.html

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. In 1998 they were awarded to: Richard E. Borcherds (Cambridge Univ.), for his work in automorphic forms and mathematical physics William T. Gowers (Cambridge Univ.), for his work in functional analysis and combinatorics Maxim Kontsevich (Institut des Hautes Etudes Scientifiques and Rutgers Univ.), for his work in algebraic geometry, algebraic topology, and mathematical physics Curtis T. McMullen

10. Dpmms: Gowers Analysis, combinatorics, number theory. fields medal 1998. http://www.dpmms.cam.ac.uk/site2000/Staff/gowers01.html

STAFF LIST: PURE MATHEMATICS Prof. W. Timothy Gowers, FRS Title: Rouse Ball Professor of Mathematics Email: w.t.gowers@dpmms.cam.ac.uk Telephone (direct line): (+44) (0)1223.337973 Fax: (+44) (0)1223.337920 College: Trinity College Personal Home Page Courses Given 2000-01 Graduate Students Research Interests: Keywords : Analysis, combinatorics Long Description I am interested in problems that are "combinatorial" in the sense that they can be attacked from first principles. I prefer problems that depend on estimates and approximations as opposed to exact formulae. This description applies to certain problems in functional analysis and number theory, as well as to combinatorics as traditionally understood. My most recent result is a new proof of a theorem of Szemerédi on arithmetic progressions. Return to Departmental Staff List Email: office@dpmms.cam.ac.uk

11. Yau Yau was awarded a fields medal in 1982 for his contributions to partial differentialequations, to the Calabi conjecture in algebraic geometry, to the positive http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Yau.html

Shing-Tung Yau Born: 4 April 1949 in Kwuntung, China Click the picture above to see two larger pictures Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Shing-Tung Yau studied for his doctorate at the University of California at Berkeley under Chern 's supervision. He received his Ph.D. in 1971 and, during session 1971-72, Yau was a member of the Institute for Advanced Study at Princeton. Yau was appointed assistant professor at the State University of New York at Stony Brook in 1972. In 1974 he was appointed an associate professor at Stanford University. He was promoted to full professor at Stanford before returning to the Institute for Advanced Study at Princeton in 1979. In 1980 he was made a professor at the Institute for Advanced Study at Princeton, a position he held until 1984 when he moved to a chair at the University of California at San Diego. In 1988 he was appointed professor at Harvard University. Yau was awarded a Fields Medal in 1982 for his contributions to partial differential equations , to the Calabi conjecture in algebraic geometry , to the positive mass conjecture of general relativity theory, and to real and complex Monge equations. In fact the 1982 Fields Medals were announced at a meeting of the General Assembly of the International Mathematical Union in Warsaw in early August 1982. They were not presented until the International Congress in Warsaw which could not be held in 1982 as scheduled and was delayed until the following year.

12. Fields Institute For Research In Mathematical Sciences The fields medal John Charles Fields Will established the fields medal, which has played the role of the Nobel Prize in Mathematics. http://www.fields.utoronto.ca/

Promoting research, education and training, and cooperation with business March 18, 2003 Home About Us Prizes and Honours People ... Mathematics Outside Mathematics Colloquium - Ray Kapral (March 21) Thematic Program on Automorphic Forms (January - May 2003) To see all our activities, visit our Calendar of Events Phone: Business Fax: Members Fax: The Fields Institute for Research in Mathematical Sciences 222 College Street Toronto, Ontario Canada E-Mail: geninfo@fields.utoronto.ca

13. Prize The fields medal and Nevanlinna Prize to be awarded at the ICM 2002. Lists previous winners. http://www.icm2002.org.cn/general/prize.htm

What's ICM2002? ICM History What's IMU? ICM Prize About CMS Mathematics In China Mathematics Institutes in Beijing Acknowledgment Fields Medal / Nevanlinna Prize In physics or literature there is the Nobel Prize, and in mathematics there is the " Fields Medal ". This highest scientific award for mathematicians will be presented at the Opening Ceremony of the International Congress of Mathematicians, Beijing 2002. The International Mathematical Union will also award the Nevanlinna Prize for outstanding work in the fields of theoretical computer science at the same time.

14. Yau Yau was awarded a fields medal in 1982 for his contributions to partial differential equations, to the Calabi conjecture http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Yau.html

Shing-Tung Yau Born: 4 April 1949 in Kwuntung, China Click the picture above to see two larger pictures Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Shing-Tung Yau studied for his doctorate at the University of California at Berkeley under Chern 's supervision. He received his Ph.D. in 1971 and, during session 1971-72, Yau was a member of the Institute for Advanced Study at Princeton. Yau was appointed assistant professor at the State University of New York at Stony Brook in 1972. In 1974 he was appointed an associate professor at Stanford University. He was promoted to full professor at Stanford before returning to the Institute for Advanced Study at Princeton in 1979. In 1980 he was made a professor at the Institute for Advanced Study at Princeton, a position he held until 1984 when he moved to a chair at the University of California at San Diego. In 1988 he was appointed professor at Harvard University. Yau was awarded a Fields Medal in 1982 for his contributions to partial differential equations , to the Calabi conjecture in algebraic geometry , to the positive mass conjecture of general relativity theory, and to real and complex Monge equations. In fact the 1982 Fields Medals were announced at a meeting of the General Assembly of the International Mathematical Union in Warsaw in early August 1982. They were not presented until the International Congress in Warsaw which could not be held in 1982 as scheduled and was delayed until the following year.

15. Fields Medal -- From MathWorld fields medal, see also. Portions of this entry contributed by Michel Barran. Thefirst fields medal was awarded in 1936 at the World Congress in Oslo. http://mathworld.wolfram.com/FieldsMedal.html

History and Terminology Prizes Math Contributors Barran Fields Medal Portions of this entry contributed by Michel Barran The Fields Medals are commonly regarded as mathematics' closest analog to the Nobel Prize (which does not exist in mathematics), and are awarded every four years by the International Mathematical Union to one or more outstanding researchers. "Fields Medals" are more properly known by their official name, "International medals for outstanding discoveries in mathematics." The Field medals were first proposed at the 1924 International Congress of Mathematicians in Toronto, where a resolution was adopted stating that at each subsequent conference, 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' 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. The Fields Medal is the highest scientific award for mathematicians, and is presented every four years at the International Congress of Mathematicians, together with a prize of 15,000 Canadian dollars. The first Fields Medal was awarded in 1936 at the World Congress in Oslo. The Fields Medal is made of gold, and shows the head of

16. Nevanlinna Prize -- From MathWorld The International Mathematical Union is the organization that awards the prestigiousfields medal, and both awards are presented at the International Congress http://mathworld.wolfram.com/NevanlinnaPrize.html

History and Terminology Prizes Math Contributors Healy Nevanlinna Prize This entry contributed by Brandon Healy The Nevanlinna Prize is awarded by the International Mathematical Union to outstanding contributors to the mathematical aspects of information science. The International Mathematical Union is the organization that awards the prestigious Fields medal , and both awards are presented at the International Congress of Mathematics. Winners receive a gold medal and cash prize similar to the prizes received by Fields Medal winners. The Nevanlinna prize was first presented in 1983 at the Warsaw congress. The International Mathematical Union has clarified the intent of the prize to be related to the mathematical aspects of information science, including the following. 1. All mathematical aspects of computer science (e.g., complexity theory , logic of programming languages, machine models, cryptography). 2. Scientific computing, numerical analysis and optimization 3. Information theory, signal processing, control theory, and the modeling of intelligence. The award is named for Rolf Nevanlinna, a Finnish mathematician who was the president of the International Mathematical Union from 1959-1962 and the organizer of the International Congress of Mathematics held in Stockholm in 1962. The prize is financed by the University of Helsinki where Nevanlinna had been the rector.

17. Fields Medal Prize For more details about the origins of the fields medal we recommend the article Thefields medal. Obverse The head represents Archimedes facing right. http://www.icm2002.org.cn/general/prize/fmedal.htm

What's ICM2002? ICM History What's IMU? ICM Prize Fields Medal Nevanlinna Previous Winners About CMS Mathematics In China ... Acknowledgment Fields Medal Prize At the 1924 International Congress of Mathematicians in Toronto, a resolution was adopted that at each ICM, two gold medals should be awarded to recognize outstanding mathematical achievement. Professor J. D. 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. For more details about the origins of the Fields Medal we recommend the article: Henry S. Tropp, "

18. Fields Medal Prize Winners -- 1966 Michael Francis ATIYAH born April 22, 1929, London Oxford University.Did joint work with Hirzebruch in Ktheory; proved jointly http://www.icm2002.org.cn/general/prize/medal/1966.htm

What's ICM2002? ICM History What's IMU? ICM Prize ... Acknowledgment Fields Medal Prize Winners (1966) Michael Francis ATIYAH born April 22, 1929, London Oxford University Did joint work with Hirzebruch in K -theory; proved jointly with Singer the index theorem of elliptic operators on complex manifolds; worked in collaboration with Bott to prove a fixed point theorem related to the "Lefschetz formula". Paul Joseph COHEN born April 2, 1934, Long Branch, New Jersey Stanford University Used technique called "forcing" to prove the independence in set theory of the axiom of choice and of the generalized continuum hypothesis. The latter problem was the first of Hilbert's problems of the 1900 Congress. Alexander GROTHENDIECK born March 28, 1928, Berlin University of Paris Built on work of Weil and Zariski and effected fundamental advances in algebraic geometry. He introduced the idea of K -theory (the Grothendieck groups and rings). Revolutionized homological algebra in his celebrated "Tohoku paper".

19. Fields Medal - Wikipedia fields medal. From Wikipedia, the free encyclopedia. The mathematicians.External link. IMU fields medal page http//elib.zib.de/IMU/medals/. http://www.wikipedia.org/wiki/Fields_Medal

Main Page Recent changes Edit this page Older versions Special pages Set my user preferences My watchlist Recently updated pages Upload image files Image list Registered users Site statistics Random article Orphaned articles Orphaned images Popular articles Most wanted articles Short articles Long articles Newly created articles All pages by title Blocked IP addresses Maintenance page External book sources Printable version Talk Log in Help Other languages: Deutsch Esperanto Slovensko Fields Medal From Wikipedia, the free encyclopedia. The Fields Medal is a prize awarded to up to four mathematicians (not over forty years of age) at each International Congress of Mathematicians since 1936 and regularly since at the initiative of the Canadian mathematican John Charles Fields . The purpose is to give recognition and support to young mathematical researchers having already made important contributions. Beijing China Laurent Lafforgue Vladimir Voevodsky ... Jesse Douglas See also: International Mathematical Union Nevanlinna Prize , another prize for outstanding mathematicians, Mathematician , for other mathematicians External link IMU Fields medal page: http://elib.zib.de/IMU/medals/

20. Math Digest Institute Faculty Member Wins fields medal, Town Topics, August 21, 2002. Topmathematician earns fields medal, The Princeton Packet, August 20, 2002. http://www.ams.org/new-in-math/mathdigest/200209-prizes.html

Mathematical Digest Short Summaries of Articles about Mathematics in the Popular Press "Medals Honor Work on Linkages and Proof," by Charles Seife. Science, 23 Aug 2002, pages 1253-1255. "Prestigious prizes for young maths masters." Nature, 22 August 2002. "Number crunchers," by Keith Devlin. The Guardian, 22 August 2002. "Math Prizes," by Ivars Peterson. Science News , 24 August 2002, page 117. "Wie die Weichgummiwissenschaft verbluefft," by Gero von Randow and Ulf von Rauchhaupt. Frankfurter Allgemeine Zeitung, 21 August 2002. "Brueckenschlaege in der Mathematik: Vergabe der Fields-Medaillen in Peking," by George Szpiro. Neue Zuercher Zeitung, 21 August 2002. "Graue Theorie, goldene Ehre," by Tobias Huerter. Sueddeutsche Zeitung, 21 August 2002. "Math = beauty + truth / (really hard)," by David Appell. Salon.com, September 5, 2002. "Franzose und Russe erhalten hoechsten Mathematiker-Preis." Web site of Spektrum der Wissenschaft, 21 August 2002. "Langlands a inspire L. Lafforgue," Pour la science

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