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），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(William Lowell Putnam)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