威廉·洛厄尔·普特南数学竞赛
威廉·洛厄尔·普特南数学竞赛,通常简称为普特南竞赛,是美国和加拿大高等教育机构注册的本科大学生的年度数学竞赛(无关学生的国籍)。它为尖子生颁发250至2,500美元的奖学金和现金奖,为顶尖学校颁发5,000至25,000美元,加上前五名个人得分手之一(被指定为putnam研究员),在哈佛获得最高12,000美元的奖学金和12,000美元的学费大学(普特南研究员奖Fellowship),[1]前100名个人得分手的名字在美国数学月刊(按字母顺序排列),前500名选手的姓名和地址邮寄给所有参与机构。它被广泛认为是世界上最负盛名的大学数学竞赛,它的难度在于,尽管专门研究数学的学生尝试了,但中位分数往往为零(120分)。
该竞赛成立于1927年,由伊丽莎白·洛厄尔·普特南为纪念她的丈夫威廉·洛厄尔·普特南,她是校际知识竞赛的倡导者。考试自1938年以来每年都提供,由美国数学协会管理。
比赛方式
普特南比赛现在在 12月的第一个星期六举行, 由两次3个小时的坐席组成, 由午休时间分开。考试由参与学校的教职员工监督。每个竞争对手都试图解决12个问题, 这些问题通常只需具备大学数学的基础知识才能解决, 但需要广泛的创造性思维。
12个问题中的每一个都值10分, 零以上的最常见分数是一个完整的解决方案的10分, 一个几乎完整的解决方案的9分, 以及一个解决方案的开始的1分。在前几年, 这12个问题各值1分, 没有给予部分信贷。考试被认为是非常困难的: 通常是由专门学习数学的学生尝试的, 但中位分数通常是零或 120个可能的 10 分, 截至 2010年, 只有4个完美分数。2003年, 在 3 615名参加考试的学生中, 1024 分 (28%) 得了10分或10分以上, 42 分足以达到最高的百分位。
在参与的学院, 任何希望参加考试的学生都可以参加考试 (受学校考试次数的限制);但学校的官方团队由3名事先指定的人组成。一支球队的得分是其三名队员的排名总和, 累计排名获胜最少。最终的结果完全有可能, 甚至是在一些机构中常见的结果, 表明选择了 "错误" 的团队--即一些不在官方团队中的学生的得分超过了正式团队成员。例如, 在 2010年, 麻省理工学院在考试前5名的得分手中有两名, 在24强中有 7名, 而加州理工在前五名中只有一名学生, 在前24名中只有4名学生;但加州理工在球队中排名第一, 而麻省理工则位居第二。
按照这个顺序, 前五名球队赢得了 2. 5万元、2万元、1. 5万元、1. 5万元、1万元、1万元和 500 美元的比赛, 球队成员分别获得 1000 元、800 元、600 元、400 元和 2000 元。
前五名的个人得分手名叫普特南研究员, 奖金为 2, 500 美元。拥有一线队的学校获得 2.5万元的奖励。每个第一名队员, 以及伊丽莎白·洛厄尔·普特南奖的获得者, 都能获得 1,000 美元。第六至第15名的人可获得 1000 美元, 接下来的10人可获得250美元。前100名学生的名字发表在《美国数学月刊》上, 考试成绩在考试结束后的今年4月初公布。
许多普特南研究员已成为数学和其他领域的杰出研究人员, 其中包括三名菲尔兹医学家--米尔诺、蒙福德和奎伦--以及两位诺贝尔物理学奖获得者--理查德·費曼和威尔逊。
得奖者
得分最高的团队
年份 | 第一名 | 第二名 | 第三名 | 第四名 | 第五名 |
---|---|---|---|---|---|
1938 | Toronto | UC Berkeley | Columbia | ||
1939 | Brooklyn College | MIT | Mississippi Woman's | ||
1940 | Toronto | Yale | Columbia | ||
1941 | Brooklyn College | UPenn | MIT | ||
1942 | Toronto | Yale | MIT | City College of NY | |
1946 | Toronto | MIT | Brooklyn College | Carnegie Tech | |
1947 | Harvard | Yale | Columbia | UPenn | |
1948 | Brooklyn College | Toronto | Harvard | City College of NY 和 McGill | |
1949 | Harvard | Toronto | Carnegie Tech | City College of NY | |
1950 | Caltech | Harvard | NYU | Toronto | |
1951 | Cornell | Harvard | Cooper Union | City College of NY | |
1952 | Queen's | Brooklyn Polytech | Harvard | MIT | |
1953 | Harvard | City College of NY | Cornell | UC Berkeley | |
1954 | Cornell | Harvard | MIT | Toronto | |
1955 | Harvard | Toronto | Yale | Kenyon | |
1956 | Harvard | Columbia | Queen's | MIT | |
1957 | Harvard | Columbia | Cornell | Caltech | |
1958 (Spring) | Brooklyn Polytech | Harvard | Toronto | Manitoba | |
1958 (Fall) | Harvard | Toronto | Caltech | Cornell | |
1959 | Brooklyn Polytech | Caltech | Toronto | Harvard | Case Tech |
1960 | UC Berkeley | Harvard | MIT | Michigan State | Cornell |
1961 | Michigan State | MIT | Caltech | Harvard | Dartmouth |
1962 | Caltech | Dartmouth | Harvard | Queen's | UCLA |
1963 | Michigan State | Brooklyn College | UPenn | Caltech | MIT |
1964 | Caltech | MIT | Harvard | Case Tech | UC Berkeley |
1965 | Harvard | MIT | Toronto | Princeton | Caltech |
1966 | Harvard | MIT | Chicago | Michigan | Princeton |
1967 | Michigan State | Caltech | Harvard | MIT | Michigan |
1968 | MIT | Waterloo | UCLA | Michigan State | Kansas |
1969 | MIT | Rice | Chicago | Harvard | Yale |
1970 | Chicago | MIT | Toronto | Illinois Tech | Caltech |
1971 | Caltech | Chicago | Harvard | UC Davis | MIT |
1972 | Caltech | Oberlin | Harvard | Swarthmore | MIT |
1973 | Caltech | British Columbia | Chicago | Harvard | Princeton |
1974 | Waterloo | Chicago | Caltech | MIT | British Columbia |
1975 | Caltech | Chicago | MIT | Princeton | Harvard |
1976 | Caltech | Washington U in StL | Princeton | Case Western Reserve 和 MIT | |
1977 | Washington U in StL | UC Davis | Caltech | Princeton | MIT |
1978 | Case Western Reserve | Washington U in StL | Waterloo | Harvard | Caltech |
1979 | MIT | Caltech | Princeton | Stanford | Waterloo |
1980 | Washington U in StL | Harvard | Maryland | Chicago | UC Berkeley |
1981 | Washington U in StL | Princeton | Harvard | Stanford | Maryland |
1982 | Harvard | Waterloo | Caltech | Yale | Princeton |
1983 | Caltech | Washington U in StL | Waterloo | Princeton | Chicago |
1984 | UC Davis 和 Washington U in StL | Harvard | Princeton | Yale | |
1985 | Harvard | Princeton | UC Berkeley | Rice | Waterloo |
1986 | Harvard | Washington U in StL | UC Berkeley | Yale | MIT |
1987 | Harvard | Princeton | Carnegie Mellon | UC Berkeley | MIT |
1988 | Harvard | Princeton | Rice | Waterloo | Caltech |
1989 | Harvard | Princeton | Waterloo | Yale | Rice |
1990 | Harvard | Duke | Waterloo | Yale | Washington U in StL |
1991 | Harvard | Waterloo | Harvey Mudd | Stanford | Yale |
1992 | Harvard | Toronto | Waterloo | Princeton | Cornell |
1993 | Duke | Harvard | Miami University | MIT | Michigan |
1994 | Harvard | Cornell | MIT | Princeton | Waterloo |
1995 | Harvard | Cornell | MIT | Toronto | Princeton |
1996 | Duke | Princeton | Harvard | Washington U in StL | Caltech |
1997 | Harvard | Duke | Princeton | MIT | Washington U in StL |
1998 | Harvard | MIT | Princeton | Caltech | Waterloo |
1999 | Waterloo | Harvard | Duke | Michigan | Chicago |
2000 | Duke | MIT | Harvard | Caltech | Toronto |
2001 | Harvard | MIT | Duke | UC Berkeley | Stanford |
2002 | Harvard | Princeton | Duke | UC Berkeley | Stanford |
2003 | MIT | Harvard | Duke | Caltech | Harvey Mudd |
2004 | MIT | Princeton | Duke | Waterloo | Caltech |
2005 | Harvard | Princeton | Duke | MIT | Waterloo |
2006 | Princeton | Harvard | MIT | Toronto | Chicago |
2007 | Harvard | Princeton | MIT | Stanford | Duke |
2008 | Harvard | Princeton | MIT | Stanford | Caltech |
2009 | MIT | Harvard | Caltech | Stanford | Princeton |
2010 | Caltech | MIT | Harvard | UC Berkeley | Waterloo |
2011 | Harvard | Carnegie Mellon | Caltech | Stanford | MIT |
2012 | Harvard | MIT | UCLA | Stony Brook | Carnegie Mellon |
2013 | MIT | Carnegie Mellon | Stanford | Harvard | Caltech |
2014 | MIT | Harvard | RPI | Waterloo | Carnegie Mellon |
2015 | MIT | Carnegie Mellon | Princeton | Stanford | Harvard |
2016 | Carnegie Mellon | Princeton | Harvard | MIT | Stanford |
2017 | MIT | Harvard | Princeton | Toronto | UCLA |
按历史表现排名的团队
下面是按前五名的出场次数和冠军数量列出的团队表。
下表列出了在前五名 (截至2017年的比赛) 中完成的团队:
前五名 | 团队 |
---|---|
63 | Harvard |
48 | MIT |
33 | Caltech |
31 | Princeton |
19 | Waterloo, Toronto |
12 | Duke, Stanford |
11 | Chicago, Washington U in StL, Yale |
10 | UC Berkeley, Cornell |
9 | Carnegie Mellon (including former Carnegie Tech) |
5 | Brooklyn College, City College of NY, Columbia, Michigan State |
4 | Case Western Reserve (including former Case Tech), UCLA, Michigan, Rice |
3 | Brooklyn Polytech, UC Davis, Queen's, UPenn |
2 | British Columbia, Dartmouth, Harvey Mudd, Maryland |
1 | Cooper Union, Illinois Tech, Kansas, Kenyon, Manitoba, McGill, Miami University, RPI
NYU, Oberlin College, SUNY Stony Brook, Swarthmore, William Carey (under former name of Mississippi Woman's) |
下表列出了自 2000年 (截至2017年的比赛) 以来进入前五名的团队:
前五名 | 团队 |
---|---|
17 | Harvard, MIT |
10 | Princeton |
9 | Stanford |
8 | Caltech |
7 | Duke |
6 | Carnegie Mellon |
4 | Waterloo |
3 | UC Berkeley, Toronto |
2 | UCLA |
1 | Chicago, Harvey Mudd, Stony Brook, RPI |
下表列出了排名第一的团队 (截至2017年的比赛):
第一名 | 团队 |
---|---|
29 | Harvard |
10 | Caltech, MIT |
4 | Toronto, Washington U in StL |
3 | Brooklyn College, Duke, Michigan State |
2 | Brooklyn Polytech, Cornell, Waterloo |
1 | UC Berkeley, UC Davis, Carnegie Mellon, Case Western Reserve, Chicago, Princeton, Queen's |
普特南研究员
自第一场比赛以来, 考试成绩最高的5人 (或 6名, 如果打成平局) 被评为普特南研究员。在前五名中, 普特南研究员没有排名。学生不得参加普特南比赛4次以上。例如, 如果一个高三学生选择正式参与, 她实际上选择放弃他在大学的几年资格之一 (见加布里埃尔·卡罗尔)。这使得四次成为普特南研究员更加了不起。在比赛历史上, 只有8名学生曾4次担任普特南研究员, 另有 23 人三次获奖。下表列出了这些学生:
名字 | 学校 | 年份 | |||
---|---|---|---|---|---|
Don Coppersmith | MIT | 1968 | 1969 | 1970 | 1971 |
Arthur Rubin | Purdue, Caltech | 1970 | 1971 | 1972 | 1973 |
Bjorn Poonen | Harvard | 1985 | 1986 | 1987 | 1988 |
Ravi D. Vakil | Toronto | 1988 | 1989 | 1990 | 1991 |
Gabriel D. Carroll | UC Berkeley, Harvard | 2000 | 2001 | 2002 | 2003 |
Reid W. Barton | MIT | 2001 | 2002 | 2003 | 2004 |
Daniel Kane | MIT | 2003 | 2004 | 2005 | 2006 |
Brian R. Lawrence | Caltech | 2007 | 2008 | 2010 | 2011 |
Edward L. Kaplan | Carnegie Tech | 1939 | 1940 | 1941 | |
Andrew M. Gleason | Yale | 1940 | 1941 | 1942 | |
Donald J. Newman | City College of NY | 1948 | 1949 | 1950 | |
James B. Herreshoff IV | UC Berkeley | 1951 | 1952 | 1953 | |
Samuel Jacob Klein | City College of NY | 1953 | 1959 | 1960 | |
Randall L. Dougherty | UC Berkeley | 1978 | 1979 | 1980 | |
Eric D. Carlson | Michigan State | 1980 | 1982 | 1983 | |
David W. Ash | Waterloo | 1981 | 1982 | 1983 | |
Noam D. Elkies | Columbia | 1982 | 1983 | 1984 | |
David J. Grabiner | Princeton | 1986 | 1987 | 1988 | |
David J. Moews | Harvard | 1986 | 1987 | 1988 | |
J. P. Grossman | Toronto | 1993 | 1994 | 1995 | |
Kiran S. Kedlaya | Harvard | 1993 | 1994 | 1995 | |
Lenhard L. Ng | Harvard | 1993 | 1994 | 1995 | |
Ciprian Manolescu | Harvard | 1997 | 1998 | 2000 | |
Aaron Pixton | Princeton | 2004 | 2005 | 2007 | |
Yufei Zhao | MIT | 2006 | 2008 | 2009 | |
Arnav Tripathy | Harvard | 2007 | 2008 | 2009 | |
Seok Hyeong Lee | Stanford | 2008 | 2010 | 2011 | |
Evan O'Dorney | UC Berkeley, Harvard | 2011 | 2012 | 2013 | |
Zipei Nie | MIT | 2012 | 2013 | 2014 | |
David Yang | MIT | 2013 | 2014 | 2015 | |
Yunkun Zhou | MIT | 2015 | 2016 | 2017 |
在下表中列出了1938年至今的所有普特南研究员, 以及他们进入前五名的年份。
名字(学校) | 年份 |
---|---|
George W. Mackey (Rice) | 1938 |
Irving Kaplansky (Toronto) | 1938 |
Michael J. Norris (College of St. Thomas) | 1938 |
Robert W. Gibson (Fort Hays Kansas State) | 1938 |
Bernard Sherman (Brooklyn College) | 1938, 1939 |
Abraham Hillman (Brooklyn College) | 1939 |
Richard P. Feynman (MIT) | 1939 |
William Nierenberg (City College of NY) | 1939 |
Edward L. Kaplan (Carnegie Tech) | 1939, 1940, 1941 |
John Cotton Maynard (Toronto) | 1940 |
Robert Maughan Snow (George Washington) | 1940 |
W. J. R. Crosby (Toronto) | 1940 |
Andrew M. Gleason (Yale) | 1940, 1941, 1942 |
Paul C. Rosenbloom (UPenn) | 1941 |
Richard F. Arens (UCLA) | 1941 |
Samuel I. Askovitz (UPenn) | 1941 |
Harold Victor Lyons (Toronto) | 1942 |
Harvey Cohn (City College of NY) | 1942 |
Melvin A. Preston (Toronto) | 1942 |
Warren S. Loud (MIT) | 1942 |
Donald A. Fraser (Toronto) | 1946 |
Eugenio Calabi (MIT) | 1946 |
Felix Browder (MIT) | 1946 |
J. Arthur Greenwood (Harvard) | 1946 |
Maxwell A. Rosenlicht (Columbia) | 1946, 1947 |
Clarence Wilson Hewlett, Jr. (Harvard) | 1947 |
William Turanski (UPenn) | 1947 |
Eoin L. Whitney (Alberta) | 1947, 1948 |
W. Forrest Stinespring (Harvard) | 1947, 1949 |
George F. D. Duff (Toronto) | 1948 |
Harry Gonshor (McGill) | 1948 |
Leonard Geller (Brooklyn College) | 1948 |
Robert L. Mills (Columbia) | 1948 |
Donald J. Newman (City College of NY) | 1948, 1949, 1950 |
Ariel Zemach (Harvard) | 1949 |
David L. Yarmush (Harvard) | 1949 |
John W. Milnor (Princeton) | 1949, 1950 |
John P. Mayberry (Toronto) | 1950 |
Richard J. Semple (Toronto) | 1950 |
Z. Alexander Melzak (British Columbia) | 1950 |
Arthur P. Dempster (Toronto) | 1951 |
Harold Widom (City College of NY) | 1951 |
Herbert C. Kranzer (NYU) | 1951 |
Peter John Redmond (Cooper Union) | 1951 |
James B. Herreshoff IV (UC Berkeley) | 1951, 1952, 1953 |
Eugene R. Rodemich (Washington U in StL) | 1952 |
Gerhard Rayna (Harvard) | 1952 |
Richard G. Swan (Princeton) | 1952 |
Walter Lewis Baily, Jr. (MIT) | 1952 |
Marshall L. Freimer (Harvard) | 1953 |
Norman Bauman (Harvard) | 1953 |
Tai Tsun Wu (Minnesota) | 1953 |
Samuel Jacob Klein (City College of NY) | 1953, 1959, 1960 |
Benjamin Muckenhoupt (Harvard) | 1954 |
James Daniel Bjorken (MIT) | 1954 |
Leonard Evens (Cornell) | 1954 |
William P. Hanf (UC Berkeley) | 1954 |
Kenneth G. Wilson (Harvard) | 1954, 1956 |
Howard C. Rumsey, Jr. (Caltech) | 1955 |
Jack Towber (Brooklyn College) | 1955 |
David B. Mumford (Harvard) | 1955, 1956 |
Trevor Barker (Kenyon) | 1955, 1956 |
Everett C. Dade (Harvard) | 1955, 1957 |
Richard Michael Friedberg (Harvard) | 1956 |
David M. Bloom (Columbia) | 1956, 1957 |
J. Ian Richards (Minnesota) | 1957 |
Richard T. Bumby (MIT) | 1957 |
Rohit J. Parikh (Harvard) | 1957 |
David R. Brillinger (Toronto) | Spring 1958 |
Donald J. C. Bures (Queen's) | Spring 1958 |
Lawrence A. Shepp (Brooklyn Polytech) | Spring 1958 |
Richard M. Dudley (Harvard) | Spring 1958 |
Joseph Lipman (Toronto) | Spring 1958, Fall 1958 |
Alan Gaisford Waterman (San Diego State) | Fall 1958 |
John Rex Forrester Hewett (Toronto) | Fall 1958 |
Robin C. Hartshorne (Harvard) | Fall 1958 |
Alfred W. Hales (Caltech) | Fall 1958, 1959 |
Daniel G. Quillen (Harvard) | 1959 |
Donald Passman (Brooklyn Polytech) | 1959 |
Donald S. Gorman (Harvard) | 1959 |
I. Martin Isaacs (Brooklyn Polytech) | 1959 |
Stephen L. Adler (Harvard) | 1959 |
Stephen Lichtenbaum (Harvard) | 1959 |
Jon H. Folkman (UC Berkeley) | 1960 |
Louis Jaeckel (UCLA) | 1960 |
Melvin Hochster (Harvard) | 1960 |
William R. Emerson (Caltech) | 1960 |
Barry Wolk (Manitoba) | 1961 |
Elwyn R. Berlekamp (MIT) | 1961 |
Edward Anton Bender (Caltech) | 1961, 1962 |
John Hathaway Lindsey (Caltech) | 1961, 1962 |
William C. Waterhouse (Harvard) | 1961, 1962 |
John William Wood (Harvard) | 1962 |
Robert S. Strichartz (Dartmouth) | 1962 |
Joel H. Spencer (MIT) | 1963 |
Lawrence A. Zalcman (Dartmouth) | 1963 |
Lawrence J. Corwin (Harvard) | 1963 |
Robert E. Greene (Michigan State) | 1963 |
Stephen E. Crick, Jr. (Michigan State) | 1963 |
Barry B. MacKichan (Harvard) | 1964 |
Fred William Roush (UNC Chapel Hill) | 1964 |
Roger E. Howe (Harvard) | 1964 |
Rufus (Robert) Bowen (UC Berkeley) | 1964, 1965 |
Vern Poythress (Caltech) | 1964 |
Andreas R. Blass (Detroit) | 1965 |
Barry Simon (Harvard) | 1965 |
Daniel Fendel (Harvard) | 1965 |
Lon M. Rosen (Toronto) | 1965 |
Marshall W. Buck (Harvard) | 1966 |
Robert E. Maas (Santa Clara) | 1966 |
Robert S. Winternitz (MIT) | 1966 |
Theodore C. Chang (MIT) | 1966 |
Richard C. Schroeppel (MIT) | 1966, 1967 |
David R. Haynor (Harvard) | 1967 |
Dennis A. Hejhal (Chicago) | 1967 |
Don B. Zagier (MIT) | 1967 |
Peter L. Montgomery (UC Berkeley) | 1967 |
Dean G. Huffman (Yale) | 1968 |
Gerald S. Gras (MIT) | 1968 |
Neal Koblitz (Harvard) | 1968 |
Gerald A. Edgar (UC Santa Barbara) | 1968, 1969 |
Don Coppersmith (MIT) | 1968, 1969, 1970, 1971 |
Alan R. Beale (Rice) | 1969 |
Steven K. Winkler (MIT) | 1969, 1970 |
Robert A. Oliver (Chicago) | 1969, 1970 |
Jeffrey Lagarias (MIT) | 1970 |
Jockum Aniansson (Yale) | 1970 |
Arthur Rubin (Purdue, Caltech) | 1970, 1971, 1972, 1973 |
Dale Peterson (Yale) | 1971 |
David Shucker (Swarthmore) | 1971 |
Robert Israel (Chicago) | 1971 |
Michael Yoder (Caltech) | 1971, 1972 |
Arthur Rothstein (Reed) | 1972 |
David Vogan (Chicago) | 1972 |
Dean Hickerson (UC Davis) | 1972 |
Ira Gessel (Harvard) | 1972 |
Angelos J. Tsirimokos (Princeton) | 1973 |
Matthew L. Ginsberg (Wesleyan) | 1973 |
Peter G. De Buda (Toronto) | 1973 |
David J. Anick (MIT) | 1973, 1975 |
Grant M. Roberts (Waterloo) | 1974 |
James B. Saxe (Union) | 1974 |
Karl C. Rubin (Princeton) | 1974 |
Philip N. Strenski (Armstrong State) | 1974 |
Thomas G. Goodwillie (Harvard) | 1974, 1975 |
Ernest S. Davis (MIT) | 1975 |
Franklin T. Adams (Chicago) | 1975 |
Christopher L. Henley (Caltech) | 1975, 1976 |
David J. Wright (Cornell) | 1976 |
Nathaniel S. Kuhn (Harvard) | 1976 |
Paul M. Herdeg (Case Western Reserve) | 1976 |
Philip I. Harrington (Washington U in StL) | 1976 |
Steven T. Tschantz (UC Berkeley) | 1976, 1978 |
Adam L. Stephanides (Chicago) | 1977, 1981 |
Michael Roberts (MIT) | 1977 |
Paul A. Vojta (Minnesota) | 1977 |
Stephen W. Modzelewski (Harvard) | 1977 |
Russell D. Lyons (Case Western Reserve) | 1977, 1978 |
Mark R. Kleiman (Princeton) | 1978 |
Peter W. Shor (Caltech) | 1978 |
Randall L. Dougherty (UC Berkeley) | 1978, 1979, 1980 |
Charles H. Walter (Princeton) | 1979 |
Mark G. Pleszkoch (Virginia) | 1979 |
Miller Puckette (MIT) | 1979 |
Richard Mifflin (Rice) | 1979 |
Daniel J. Goldstein (Chicago) | 1980 |
Laurence E. Penn (Harvard) | 1980 |
Michael Raship (Harvard) | 1980 |
Eric D. Carlson (Michigan State) | 1980, 1982, 1983 |
Robin A. Pemantle (UC Berkeley) | 1981 |
Scott R. Fluhrer (Case Western Reserve) | 1981 |
David W. Ash (Waterloo) | 1981, 1982, 1983 |
Michael J. Larsen (Harvard) | 1981, 1983 |
Brian R. Hunt (Maryland) | 1982 |
Edward A. Shpiz (Washington U in StL) | 1982 |
Noam D. Elkies (Columbia) | 1982, 1983, 1984 |
Gregg N. Patruno (Princeton) | 1983 |
Benji N. Fisher (Harvard) | 1984 |
Daniel W. Johnson (Rose-Hulman Tech) | 1984 |
Richard A. Stong (Washington U in StL) | 1984 |
Michael Reid (Harvard) | 1984, 1987 |
Everett W. Howe (Caltech) | 1985 |
Keith A. Ramsay (Chicago) | 1985 |
Martin V. Hildebrand (Williams) | 1985 |
Douglas S. Jungreis (Harvard) | 1985, 1986 |
Bjorn Poonen (Harvard) | 1985, 1986, 1987, 1988 |
David I. Zuckerman (Harvard) | 1986 |
Waldemar P. Horwat (MIT) | 1986 |
David J. Grabiner (Princeton) | 1986, 1987, 1988 |
David J. Moews (Harvard) | 1986, 1987, 1988 |
Constantin S. Teleman (Harvard) | 1987 |
John S. Tillinghast (UC Davis) | 1987 |
Jeremy A. Kahn (Harvard) | 1988 |
Ravi D. Vakil (Toronto) | 1988, 1989, 1990, 1991 |
Andrew H. Kresch (Yale) | 1989 |
Christos A. Athanasiadis (MIT) | 1989 |
Colin M. Springer (Waterloo) | 1989 |
Sihao Wu (Yale) | 1989 |
William P. Cross (Caltech) | 1989 |
Jordan Lampe (UC Berkeley) | 1990 |
Raymond M. Sidney (Harvard) | 1990 |
Eric K. Wepsic (Harvard) | 1990, 1991 |
Jordan S. Ellenberg (Harvard) | 1990, 1992 |
Joshua B. Fischman (Princeton) | 1991 |
Xi Chen (Missouri–Rolla) | 1991 |
Samuel A. Kutin (Harvard) | 1991, 1992 |
Jeffrey M. Vanderkam (Duke) | 1992 |
Serban M. Nacu (Harvard) | 1992 |
Adam Logan (Princeton) | 1992, 1993 |
Craig B. Gentry (Duke) | 1993 |
Wei-Hwa Huang (Caltech) | 1993 |
J. P. Grossman (Toronto) | 1993, 1994, 1995 |
Kiran S. Kedlaya (Harvard) | 1993, 1994, 1995 |
Lenhard L. Ng (Harvard) | 1993, 1994, 1995 |
William R. Mann (Princeton) | 1994 |
Jeremy L. Bem (Cornell) | 1994, 1996 |
Sergey V. Levin (Harvard) | 1995 |
Yevgeniy Dodis (NYU) | 1995 |
Dragos N. Oprea (Harvard) | 1996 |
Ioana Dumitriu (NYU) | 1996 |
Robert D. Kleinberg (Cornell) | 1996 |
Stephen S. Wang (Harvard) | 1996 |
Daniel K. Schepler (Washington U in StL) | 1996, 1997 |
Ovidiu Savin (Pittsburgh) | 1997 |
Patrick K. Corn (Harvard) | 1997 |
Samuel Grushevsky (Harvard) | 1997 |
Mike Develin (Harvard) | 1997, 1998 |
Ciprian Manolescu (Harvard) | 1997, 1998, 2000 |
Ari M. Turner (Princeton) | 1998 |
Nathan G. Curtis (Duke) | 1998 |
Kevin D. Lacker (Duke) | 1998, 2001 |
Christopher C. Mihelich (Harvard) | 1999 |
Colin A. Percival (Simon Fraser) | 1999 |
Davesh Maulik (Harvard) | 1999 |
Derek I.E. Kisman (Waterloo) | 1999 |
Sabin Cautis (Waterloo) | 1999 |
Stewart Ellis (OSU) | 1999 |
Abhinav Kumar (MIT) | 1999, 2000 |
Pavlo Pylyavskyy (MIT) | 2000 |
Alexander B. Schwartz (Harvard) | 2000, 2002 |
Gabriel D. Carroll (UC Berkeley, Harvard) | 2000, 2001, 2002, 2003 |
George Lee, Jr. (Harvard) | 2001 |
Jan K. Siwanowicz (City College of NY) | 2001 |
Reid W. Barton (MIT) | 2001, 2002, 2003, 2004 |
Deniss Cebikins (MIT) | 2002 |
Melanie E. Wood (Duke) | 2002 |
Ralph C. Furmaniak (Waterloo) | 2003 |
Ana Caraiani (Princeton) | 2003, 2004 |
Daniel M. Kane (MIT) | 2003, 2004, 2005, 2006 |
Vladimir V. Barzov (MIT) | 2004 |
Aaron Pixton (Princeton) | 2004, 2005, 2007 |
Oleg Golberg (MIT) | 2005 |
Matthew M. Ince (MIT) | 2005 |
Ricky I. Liu (Harvard) | 2005 |
Tiankai Liu (Harvard) | 2005, 2006 |
Hansheng Diao (MIT) | 2006 |
Po-Ru Loh (Caltech) | 2006 |
Yufei Zhao (MIT) | 2006, 2008, 2009 |
Jason C. Bland (Caltech) | 2007 |
Brian R. Lawrence (Caltech) | 2007, 2008, 2010, 2011 |
Qingchun Ren (MIT) | 2007, 2009 |
Xuancheng Shao (MIT) | 2007 |
Arnav Tripathy (Harvard) | 2007, 2008, 2009 |
Seok Hyeong Lee (Stanford) | 2008, 2010, 2011 |
Bohua Zhan (MIT) | 2008 |
William Johnson (U of Washington) | 2009 |
Xiaosheng Mu (Yale) | 2009, 2011 |
Yu Deng (MIT) | 2010 |
Colin P. Sandon (MIT) | 2010 |
Alex (Lin) Zhai (Harvard) | 2010 |
Samuel S. Elder (Caltech) | 2011 |
Evan O'Dorney (Harvard) | 2011, 2012, 2013 |
Benjamin P. Gunby (MIT) | 2012 |
Eric K. Larson (Harvard) | 2012 |
Mitchell M. Lee (MIT) | 2012, 2013 |
Zipei Nie (MIT) | 2012, 2013, 2014 |
Bobby Shen (MIT) | 2013, 2014 |
David Yang (MIT) | 2013, 2014, 2015 |
Ravi Jagadeesan (Harvard) | 2014 |
Mark Sellke (MIT) | 2014 |
Lingfu Zhang (MIT) | 2014 |
Pakawut Jiradilok (Harvard) | 2015 |
Bumsoo Kim (Princeton) | 2015 |
Gyujin Oh (Stanford) | 2015 |
Daniel Spivak (Waterloo) | 2015 |
Yunkun Zhou (MIT) | 2015, 2016, 2017 |
Joshua D. Brakensiek (Carnegie Mellon) | 2016 |
Dong Ryul Kim (Harvard) | 2016 |
Thomas E. Swayze (Carnegie Mellon) | 2016 |
Samuel Zbarsky (Carnegie Mellon) | 2016 |
Ömer Cerrahoğlu (MIT) | 2017 |
Jiyang Gao (MIT) | 2017 |
Junyao Peng (MIT) | 2017 |
Ashwin Sah (MIT) | 2017 |
David Stoner (Harvard) | 2017 |
伊丽莎白·洛厄尔·普特南奖获得者
自1992年以来, 伊丽莎白·洛厄尔·普特南奖颁发给一名得分较高的女参与者。他们是研究员的年份是粗体的。
名字 | 学校 | 年份 |
---|---|---|
Dana Pascovici | Dartmouth | 1992 |
Ruth A. Britto-Pacumio | MIT | 1994 |
Ioana Dumitriu | NYU | 1995, 1996, 1997 |
Wai Ling Yee | Waterloo | 1999 |
Melanie E. Wood | Duke | 2001, 2002 |
Ana Caraiani | Princeton | 2003, 2004 |
Alison B. Miller | Harvard | 2005, 2006, 2007 |
Viktoriya Krakovna | Toronto | 2008 |
Yinghui Wang | MIT | 2010 |
Fei Song | Virginia | 2011 |
Xiao Wu | Yale | 2013 |
Danielle Wang | MIT | 2015 |
Simona Diaconu | Princeton | 2016 |
Ni Yan | UCLA | 2017 |
- ^ Putnam Competition Individual and Team Winners | Mathematical Association of America. www.maa.org. [2018-12-31]. (原始内容存档于2013-06-26).