威廉·洛厄爾·普特南數學競賽
威廉·洛厄爾·普特南數學競賽,通常簡稱為普特南競賽,是[[美國[[和加拿大高等教育機構註冊的本科大學生的年度數學競賽(沒有國籍限制)。它為頂尖學生頒發獎學金和現金獎勵,從 250 美元到 2,500 美元不等,為頂尖學校頒發 5,000 美元到 25,000 美元,此外,考試成績的前五名(被指定為普特南會員),在哈佛獲得最高12,000美元的獎學金(Putnam Fellow Prize Fellowship),[1]得分前100名的個人選手名字會被刊登在美國數學月刊(按字母順序排列),前500名選手的姓名和地址會被發送給所有參與機構。它以世界上最負盛名的大學生數學競賽被廣泛認可,其難度從儘管有數學系學生參與其中然中位數仍常常為零可見一斑(滿分120分)。
該競賽於1927年開始,由伊莉莎白·洛厄爾·普特南為紀念她的丈夫威廉·洛厄爾·普特南(William Lowell Putnam)設立。考試自1938年以來以每年一次的頻率進行(特例為1943、1944、1945停辦,1958年兩次),管理方為美國數學協會。
比賽方式
編輯普特南比賽通常在12月的第一個星期六舉行, 由兩次3個小時的考試組成, 由午休時間分開,一般學校會提供免費午餐。考試由參與學校的教職員工監督。這些問題通常需具備大學數學的基礎知識才能解決, 但需要廣泛的創造性思維。
12個問題中的每一題都值10分, 零以上的最常見分數是10分(完整答案/證明), 9分(幾乎完整的答案/證明), 以及1分(答案的最開始一部分,一般較為容易)。在前幾年, 這12個問題各值1分, 沒有給予部分得分。考試被普遍認為是極度困難的,通常只有專門學習數學的學生才能看懂並嘗試。 但中位分數通常是零或一分, 截至2010年, 只有4個滿分。2003年, 在3615名參加考試的學生中, 1024名考生(28%) 得了10分或10分以上, 若可以取得42分便足以達到最高的百分位(>=99%)。
在參與的學院(大學), 任何希望參加考試的學生都可以參加考試 (受學校考試次數的限制); 在2019年之前,學校的隊伍由三名事先指定的個人組成。到2019年為止,每支隊伍的得分是3名隊員的排名之和,累積排名最低的隊伍獲勝。最終的結果完全有可能(甚至是在一些機構中常見的結果),表明選擇了 "錯誤" 的團隊--即一些不在官方團隊中的學生的得分超過了正式團隊成員。例如, 在 2010年, 麻省理工學院在考試前5名的得分手中有兩名, 在24強中有 7名, 而加州理工在前五名中只有一名學生, 在前24名中只有4名學生;但加州理工排名第一, 而麻省理工則位居第二。
按照這個順序, 前五名的團隊會依次贏得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, 團隊成員會分別獲得1000美金,800美金,600美金,400美金和200美金。
前五名的個人得分手名叫普特南會員, 獎金為 2,500 美元。第一名的隊伍的學校獲得25000美金的獎勵。排名第一的隊伍的隊員以及伊莉莎白·洛厄爾·普特南獎的獲得者, 都能獲得 1,000 美元。第六至第15名的人可獲得 1,000 美元, 接下來的10人可獲得250美元。前100名學生的名字發表在《美國數學月刊》上, 考試成績在考試結束後的4月初公布。
許多普特南會員已成為數學和其他領域的傑出研究人員, 其中包括三名菲爾茲獎得主--米爾諾(同時也是阿貝爾獎的獲得主)、蒙福德和奎倫--以及兩位諾貝爾物理學獎獲得者--理察·費曼和威爾遜。
得獎者
編輯得分最高的團隊
編輯年份 | 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 |
按歷史表現排名的團隊
編輯下面是按前五名的出場次數和冠軍數量列出的團隊表。
下表列出了在前五名 (截至2021年的比賽) 中完成的團隊:
前五名 | 團隊 |
---|---|
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 (舊名為Mississippi Woman's) |
下表列出了自 2000年 (截至2021年的比賽) 以來進入前五名的團隊:
前五名 | 團隊 |
---|---|
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團隊 (截至2021年的比賽):
第一名 | 團隊 |
---|---|
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 |
普特南會員
編輯自第一場比賽以來, 考試成績最高的5人 (或6名, 如果打成平局) 被評為普特南會員。在前五名中, 普特南會員沒有排名。學生不得參加普特南比賽4次以上。例如, 如果一個高三學生選擇正式參與, 她實際上選擇放棄他在大學的幾年資格之一 (見加布里埃爾·卡羅爾)。這使得四次成為普特南會員更加了不起。在比賽歷史上, 只有8名學生曾4次擔任普特南會員, 另有23人三次獲獎。下表列出了這些學生:
名字 | 學校 | 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會員, 以及他們進入前五名的年份。
名字(學校) | 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 |
伊莉莎白·洛厄爾·普特南獎獲得者
編輯自1992年以來, 伊莉莎白·洛厄爾·普特南獎頒發給一名得分較高的女參與者。粗體表示他們是會員的年份。
名字 | 學校 | 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 |
- ^ Putnam Competition Individual and Team Winners | Mathematical Association of America. www.maa.org. [2018-12-31]. (原始內容存檔於2013-06-26).