Cole Prize
Encyclopedia
The Frank Nelson Cole Prize, or Cole Prize for short, is one of two prize
s awarded to mathematician
s by the American Mathematical Society
, one for an outstanding contribution to algebra
, and the other for an outstanding contribution to number theory
. The prize is named after Frank Nelson Cole
, who served the Society for 25 years.
The first award for algebra was made in 1928 to L. E. Dickson, for his book Algebren und ihre Zahlentheorie, Orell Füssli, Zürich and Leipzig, 1927, while the first award for number theory was made in 1931 to H. S. Vandiver, for papers dealing with Fermat's last theorem
.
Although eligibility for the prize is not fully international, they are awarded to members of the Society and those who publish outstanding work in leading American journals.
For full citations, see external links.
For full citations, see external links.
Prize
A prize is an award to be given to a person or a group of people to recognise and reward actions or achievements. Official prizes often involve monetary rewards as well as the fame that comes with them...
s awarded to mathematician
Mathematician
A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....
s by the American Mathematical Society
American Mathematical Society
The American Mathematical Society is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, which it does with various publications and conferences as well as annual monetary awards and prizes to mathematicians.The society is one of the...
, one for an outstanding contribution to algebra
Algebra
Algebra is the branch of mathematics concerning the study of the rules of operations and relations, and the constructions and concepts arising from them, including terms, polynomials, equations and algebraic structures...
, and the other for an outstanding contribution to number theory
Number theory
Number theory is a branch of pure mathematics devoted primarily to the study of the integers. Number theorists study prime numbers as well...
. The prize is named after Frank Nelson Cole
Frank Nelson Cole
Frank Nelson Cole, Ph.D. was an American mathematician, born in Ashland, Massachusetts, and educated at Harvard, where he lectured on mathematics from 1885 to 1887....
, who served the Society for 25 years.
The first award for algebra was made in 1928 to L. E. Dickson, for his book Algebren und ihre Zahlentheorie, Orell Füssli, Zürich and Leipzig, 1927, while the first award for number theory was made in 1931 to H. S. Vandiver, for papers dealing with Fermat's last theorem
Fermat's Last Theorem
In number theory, Fermat's Last Theorem states that no three positive integers a, b, and c can satisfy the equation an + bn = cn for any integer value of n greater than two....
.
Although eligibility for the prize is not fully international, they are awarded to members of the Society and those who publish outstanding work in leading American journals.
Algebra Prize awards
- 1928 Leonard E. Dickson
- 1939 Abraham Adrian AlbertAbraham Adrian AlbertAbraham Adrian Albert was an American mathematician. In 1939, he received the first American Mathematical Society's Cole Prize in Algebra for his work on Riemann matrices...
- 1944 Oscar ZariskiOscar ZariskiOscar Zariski was a Russian mathematician and one of the most influential algebraic geometers of the 20th century.-Education:...
- 1949 Richard BrauerRichard BrauerRichard Dagobert Brauer was a leading German and American mathematician. He worked mainly in abstract algebra, but made important contributions to number theory...
- 1954 Harish-ChandraHarish-ChandraHarish-Chandra was an Indian mathematician, who did fundamental work in representation theory, especially Harmonic analysis on semisimple Lie groups. -Life:...
- 1960 Serge LangSerge LangSerge Lang was a French-born American mathematician. He was known for his work in number theory and for his mathematics textbooks, including the influential Algebra...
, Maxwell A. Rosenlicht - 1965 Walter FeitWalter FeitWalter Feit was a Jewish Austrian-American mathematician who worked in finite group theory and representation theory....
, John G. ThompsonJohn G. ThompsonJohn Griggs Thompson is a mathematician at the University of Florida noted for his work in the field of finite groups. He was awarded the Fields Medal in 1970, the Wolf Prize in 1992 and the 2008 Abel Prize.... - 1970 John R. StallingsJohn R. StallingsJohn Robert Stallings Jr. was a mathematician known for his seminal contributions to geometric group theory and 3-manifold topology. Stallings was a Professor Emeritus in the Department of Mathematics at the University of California at Berkeley where he had been a faculty member since 1967...
, Richard G. Swan - 1975 Hyman BassHyman BassHyman Bass is an American mathematician, known for work in algebra and in mathematics education. From 1959-1998 he was Professor in the Mathematics Department at Columbia University, where he is now professor emeritus...
, Daniel G. Quillen - 1980 Michael AschbacherMichael AschbacherMichael George Aschbacher is an American mathematician best known for his work on finite groups. He was a leading figure in the completion of the classification of finite simple groups in the 1970s and 1980s. It later turned out that the classification was incomplete, because the case of quasithin...
, Melvin HochsterMelvin HochsterMelvin Hochster is an eminent American mathematician, regarded as one of the leading commutative algebraists active today. He is currently the Jack E. McLaughlin Distinguished University Professor of Mathematics at the University of Michigan.Hochster attended Stuyvesant High School, where he was... - 1985 George Lusztig
- 1990 Shigefumi MoriShigefumi Mori-References:*Heisuke Hironaka, Fields Medallists Lectures, Michael F. Atiyah , Daniel Iagolnitzer ; World Scientific Publishing, 2007. ISBN 9810231172...
- 1995 Michel RaynaudMichel RaynaudMichel Raynaud is a French mathematician working in algebraic geometry. Since 1967 he has been a professor at Paris-Sud 11 University.In 1983 he published a proof of the Manin-Mumford conjecture....
, David HarbaterDavid HarbaterDavid Harbater is an American mathematician, well known for his work in Galois theory, algebraic geometry and arithmetic geometry.-Life and work:... - 2000 Andrei SuslinAndrei SuslinAndrei Suslin is a Russian mathematician who has made major contributions to the field of algebra, especially algebraic K-theory and its connections with algebraic geometry. He is currently a Trustee Chair and Professor of mathematics at Northwestern University.He was born on December 27, 1950,...
, Aise Johan de JongAise Johan de JongAise Johan de Jong is a Dutch mathematician born in Belgium. He currently is a professor of mathematics at the Columbia University. His research interest includes algebraic geometry.... - 2003 Hiraku NakajimaHiraku NakajimaHiraku Nakajima is a Japanese mathematician. In 2002 he was plenary speaker at the ICM Beijing. He won the 2003 Cole Prize in algebra for his work on representation theory and geometry...
- 2006 János KollárJános KollárJános Kollár is a Hungarian mathematician, specializing in algebraic geometry. He is a member of the National Academy of Sciences since 2005 and received the Cole Prize in 2006....
- 2009 Christopher HaconChristopher HaconChristopher Derek Hacon is a mathematician with British, Italian and US nationalities. In 2009 he was awarded the Cole Prize for outstanding contribution to algebra, along with James McKernan. He was also awarded the Clay Research Award...
, James McKernanJames McKernanJames McKernan is a British mathematician, and a professor of mathematics at MIT in the United States.McKernan was the joint winner of the Cole Prize in 2009, and joint recipient of the Clay Research Award in 2007. Both honors were received jointly with his colleague Christopher Hacon.-External...
For full citations, see external links.
Number Theory Prize awards
- 1931 Harry VandiverHarry VandiverHarry Schultz Vandiver was an American mathematician, known for work in number theory.He was born in Philadelphia, Pennsylvania to John Lyon and Ida Frances Vandiver...
- 1941 Claude ChevalleyClaude ChevalleyClaude Chevalley was a French mathematician who made important contributions to number theory, algebraic geometry, class field theory, finite group theory, and the theory of algebraic groups...
- 1946 Henry B. Mann
- 1951 Paul ErdősPaul ErdosPaul Erdős was a Hungarian mathematician. Erdős published more papers than any other mathematician in history, working with hundreds of collaborators. He worked on problems in combinatorics, graph theory, number theory, classical analysis, approximation theory, set theory, and probability theory...
- 1956 John TateJohn TateJohn Torrence Tate Jr. is an American mathematician, distinguished for many fundamental contributions in algebraic number theory, arithmetic geometry and related areas in algebraic geometry.-Biography:...
- 1962 Kenkichi IwasawaKenkichi IwasawaKenkichi Iwasawa was a Japanese mathematician who is known for his influence on algebraic number theory.Iwasawa was born in Shinshuku-mura, a town near Kiryū, in Gunma Prefecture...
, Bernard M. Dwork - 1967 James AxJames AxJames Burton Ax was a mathematician who proved several results in algebra and number theory by using model theory. He shared the seventh Frank Nelson Cole Prize in Number Theory with Simon B. Kochen, which was awarded for a series of three joint papers on Diophantine problems.James Ax earned his...
, Simon B. KochenSimon B. KochenSimon Bernhard Kochen is an American mathematician, working in the fields of model theory, number theory and quantum mechanics.... - 1972 Wolfgang M. SchmidtWolfgang M. SchmidtWolfgang M. Schmidt is a mathematician born in 1933. He studied mathematics at the University of Vienna, where he received his PhD, which was supervised by Edmund Hlawka, in 1955...
- 1977 Goro ShimuraGoro Shimurais a Japanese mathematician, and currently a professor emeritus of mathematics at Princeton University.Shimura was a colleague and a friend of Yutaka Taniyama...
- 1982 Robert P. Langlands, Barry MazurBarry Mazur-Life:Born in New York City, Mazur attended the Bronx High School of Science and MIT, although he did not graduate from the latter on account of failing a then-present ROTC requirement. Regardless, he was accepted for graduate school and received his Ph.D. from Princeton University in 1959,...
- 1987 Dorian M. GoldfeldDorian M. GoldfeldDorian Morris Goldfeld is an American mathematician.He received his B.S. degree in 1967 from Columbia University. His doctoral dissertation entitled "Some Methods of Averaging in the Analytical Theory of Numbers" was completed under the supervision of Patrick X. Gallagher in 1969, also at Columbia...
, Benedict GrossBenedict GrossBenedict Hyman Gross is an American mathematician, the George Vasmer Leverett Professor of Mathematics at Harvard University and former Dean of Harvard College....
, Don ZagierDon ZagierDon Bernard Zagier is an American mathematician whose main area of work is number theory. He is currently one of the directors of the Max Planck Institute for Mathematics in Bonn, Germany, and a professor at the Collège de France in Paris, France.He was born in Heidelberg, Germany... - 1992 Karl RubinKarl RubinKarl Rubin is an American mathematician at University of California, Irvine as Thorp Professor of Mathematics. His research interest is in elliptic curves. He was the first mathematician to show that some elliptic curves over the rationals have finite Tate-Shafarevich groups...
, Paul VojtaPaul VojtaPaul Alan Vojta is an American mathematician, known for his work in number theory on diophantine geometry and diophantine approximation.... - 1997 Andrew J. Wiles
- 2002 Henryk IwaniecHenryk IwaniecHenryk Iwaniec is a Polish American mathematician, and since 1987 a professor at Rutgers University. He was awarded the fourteenth Frank Nelson Cole Prize in Number Theory in 2002. He received the Leroy P. Steele Prize for Mathematical Exposition in 2011.-Background and education:Iwaniec studied...
, Richard TaylorRichard Taylor (mathematician)-External links:**... - 2005 Peter SarnakPeter SarnakPeter Clive Sarnak is a South African-born mathematician. He has been Eugene Higgins Professor of Mathematics at Princeton University since 2002, succeeding Andrew Wiles, and is an editor of the Annals of Mathematics...
- 2008 Manjul BhargavaManjul BhargavaManjul Bhargava is a Canadian-American mathematician of Indian origin. He is the R. Brandon Fradd Professor of Mathematics at Princeton University...
- 2011 Chandrashekhar KhareChandrashekhar KhareChandrashekhar B. Khare is a professor of mathematics at the University of California Los Angeles. In 2005, he made a major advance in the field of Galois representations and number theory by proving the level 1 Serre conjecture, and later a proof of the full conjecture with Jean-Pierre Wintenberger...
, Jean-Pierre WintenbergerJean-Pierre WintenbergerJean-Pierre Wintenberger is a French mathematician, and currently a professor of mathematics at the University of Strasbourg. He was corecipient of the 2011 Cole Prize in number theory, along with Chandrashekhar Khare, for his proof of Serre's modularity conjecture.Wintenberger earned his Ph.D. at...
For full citations, see external links.
See also
- List of prizes, medals, and awards – mathematics