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(没有国籍限制)。它为顶尖学生颁发奖学金和现金奖励,从 250 美元到 2,500 美元不等,为顶尖学校颁发 5,000 美元到 25,000 美元,此外,考试成绩的前五名(被指定为普特南会员),在哈佛获得最高12,000美元的奖学金(Putnam Fellow Prize Fellowship),[1]得分前100名的个人选手名字会被刊登在美国数学月刊(按字母顺序排列),前500名选手的姓名和地址会被发送给所有参与机构。它以世界上最负盛名的大学生数学竞赛被广泛认可,其难度从尽管有数学系学生参与其中然中位数仍常常为零可见一斑(满分120分)。

该竞赛于1927年开始,由伊丽莎白·洛厄尔·普特南为纪念她的丈夫威廉·洛厄尔·普特南设立。考试自1938年以来以每年一次的频率进行(特例为1943、1944、1945停办,1958年两次),管理方为美国数学协会。


比赛方式

普特南比赛通常在12月的第一个星期六举行, 由两次3个小时的考试组成, 由午休时间分开,一般学校会提供免费午餐。考试由参与学校的教职员工监督。这些问题通常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个问题中的每一题都值10分, 零以上的最常见分数是10分(完整答案/证明), 9分(几乎完整的答案/证明), 以及1分(答案的最开始一部分,一般较为容易)。在前几年, 这12个问题各值1分, 没有给予部分得分。考试被普遍认为是极度困难的,通常只有专门学习数学的学生才能看懂并尝试。 但中位分数通常是零或一分, 截至2010年, 只有4个满分。2003年, 在3615名参加考试的学生中, 1024名考生(28%) 得了10分或10分以上, 若可以取得42分便足以达到最高的百分位(>=99%)。

在参与的学院(大学), 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); 在2019年之前,学校的队伍由三名事先指定的个人组成。到2019年为止,每支队伍的得分是3名队员的排名之和,累积排名最低的队伍获胜。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;但加州理工排名第一, 而麻省理工则位居第二。

按照这个顺序, 前五名的团队会依次赢得25,000美金、2,0000美金、15,000美金、15,000美金、10,000美金和5,000美元, 团队成员会分别获得1000美金,800美金,600美金,400美金和200美金。

前五名的个人得分手名叫普特南会员, 奖金为 2,500 美元。第一名的队伍的学校获得25000美金的奖励。排名第一的队伍的队员以及伊丽莎白·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 1,000 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4月初公布。

许多普特南会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奖得主--米尔诺(同时也是阿贝尔奖的获得主)、蒙福德和奎伦--以及两位诺贝尔物理学奖获得者--理查德·费曼和威尔逊。

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
2018 Harvard MIT UCLA Columbia Stanford
2019 MIT Harvard Stanford UCLA Waterloo
2021 MIT Princeton Harvard Stanford 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2021年的比赛) 中完成的团队:

前五名 团队
68 Harvard
51 MIT
33 Caltech
32 Princeton
20 Waterloo
19 Toronto
15 Stanford
12 Duke
11 Chicago, Washington University in St. Louis, Yale
10 UC Berkeley, Cornell
9 Carnegie Mellon(包括前身Carnegie Tech)
7 UCLA
6 Columbia
5 Brooklyn College, City College of New York, Michigan State
4 Case Western Reserve (包括前身Case Tech), Michigan, Rice
3 Brooklyn Polytech, UC Davis, Queen's University at Kingston, University of Pennsylvania
2 British Columbia, Dartmouth, Harvey Mudd, Maryland
1 Cooper Union, Illinois Tech, Kansas, Kenyon, Manitoba, McGill, Miami University, Rensselaer Polytechnic Institute,

NYU, Oberlin college, Stony Brook, Swarthmore college, William Carey (旧名为Mississippi Woman's)

下表列出了自 2000年 (截至2021年的比赛) 以来进入前五名的团队:

前五名 团队
20 Harvard, MIT
12 Stanford
11 Princeton
8 Caltech
7 Duke
6 Carnegie Mellon
5 waterloo, UCLA
3 UC Berkeley, Toronto
1 Chicago, Harvey Mudd, Stony Brook, Rensselaer Polytechnic Institute , Columbia

下表列出了排名第一的团队 (截至2021年的比赛):

第一名 团队
30 Harvard
11 MIT
10 Caltech
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

普特南会员

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) 被评为普特南会员。在前五名中, 普特南会员没有排名。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会员更加了不起。在比赛历史上, 只有8名学生曾4次担任普特南会员, 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会员, 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。粗体表示他们是会员的年份。

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, 2018
Simona Diaconu Princeton 2016
Ni Yan UCLA 2017
Laura Pierson Harvard 2019
Qi Qi MIT 2019
Hanzhi Zheng Stanford 2019
Dain Kim MIT 2021
  1. ^ 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).