The **Bôcher Memorial Prize** was founded by the American Mathematical Society in 1923 in memory of Maxime Bôcher with an initial endowment of $1,450 (contributed by members of that society). It is awarded every three years (formerly every five years) for a notable research memoir in analysis that has appeared during the past six years in a recognized North American journal or was authored by a member of the Society. This provision, introduced in 1971 and modified in 1993, is a liberalization of the terms of the award. The current award is $5,000.

- 1923 George David Birkhoff
- 1924 Eric Temple Bell, Solomon Lefschetz
- 1928 James W. Alexander II
- 1933 Marston Morse, Norbert Wiener
- 1938 John von Neumann
- 1943 Jesse Douglas
- 1948 Albert Schaeffer, Donald Spencer
- 1953 Norman Levinson
- 1959 Louis Nirenberg
- 1964 Paul Cohen
- 1969 Isadore Singer
- 1974 Donald Samuel Ornstein
- 1979 Alberto Calderón
- 1984 Luis Caffarelli, Richard Melrose
- 1989 Richard Schoen
- 1994 Leon Simon
- 1999 Demetrios Christodoulou, Sergiu Klainerman, Thomas Wolff
- 2002 Daniel Tătaru, Terence Tao, Lin Fanghua
- 2005 Frank Merle
- 2008 Alberto Bressan, Charles Fefferman, Carlos Kenig (de)
- 2011 Assaf Naor, Gunther Uhlmann
- 2014 Simon Brendle
- 2017 András Vasy

Alberto Bressan (born 15 June 1956) is an Italian mathematician at Penn State University. His primary field of research is mathematical analysis including hyperbolic systems of conservation laws, impulsive control of Lagrangian systems, and non-cooperative differential games.

Assaf NaorAssaf Naor (born May 7, 1975) is a Czech-Israeli mathematician, computer scientist, and a professor of mathematics at Princeton University.

BocherBocher may refer to:

Joan Bocher (died 1550), English Anabaptist burned at the stake for heresy

Maxime Bôcher (1867–1918), American mathematician who published about 100 papers on differential equations, series, and algebra

Tyge W. Böcher (1909–1983), Danish botanist, evolutionary biologist, plant ecologist and phytogeographer

Charles FeffermanCharles Louis Fefferman (born April 18, 1949) is an American mathematician at Princeton University. His primary field of research is mathematical analysis.

Courant Institute of Mathematical SciencesThe Courant Institute of Mathematical Sciences (CIMS) is an independent division of New York University (NYU) under the Faculty of Arts & Science that serves as a center for research and advanced training in computer science and mathematics. It is considered one of the leading and most prestigious mathematics schools and mathematical sciences research centers in the world. It is named after Richard Courant, one of the founders of the Courant Institute and also a mathematics professor at New York University from 1936 to 1972.

It is ranked #1 in applied mathematical research in US, #5 in citation impact worldwide, and #12 in citation worldwide. On the Faculty Scholarly Productivity Index, it is ranked #3 with an index of 1.84. It is also known for its extensive research in pure mathematical areas, such as partial differential equations, probability and geometry, as well as applied mathematical areas, such as computational biology, computational neuroscience, and mathematical finance. The Mathematics Department of the Institute has 18 members of the United States National Academy of Sciences (more than any other mathematics department in the U.S.) and five members of the National Academy of Engineering. Four faculty members have been awarded the National Medal of Science, one was honored with the Kyoto Prize, and nine have received career awards from the National Science Foundation. Courant Institute professors Peter Lax, S. R. Srinivasa Varadhan, Mikhail Gromov, Louis Nirenberg won the 2005, 2007, 2009 and 2015 Abel Prize respectively for their research in partial differential equations, probability and geometry. Louis Nirenberg also received the Chern Medal in 2010, and Subhash Khot won the Nevanlinna Prize in 2014.

The Director of the Courant Institute directly reports to New York University's Provost and President and works closely with deans and directors of other NYU colleges and divisions respectively. The undergraduate programs and graduate programs at the Courant Institute are run independently by the Institute, and formally associated with the NYU College of Arts and Science and NYU Graduate School of Arts and Science respectively.

Daniel TătaruDaniel Ioan Tătaru (born 6 May 1967, Piatra Neamţ, Romania) is a Romanian mathematician at University of California, Berkeley.

He earned his doctorate from the University of Virginia in 1992, under supervision of Irena Lasiecka.He won the 2002 Bôcher Memorial Prize for his research on partial differential equations. In 2012 he became a fellow of the American Mathematical Society. In 2013 he was selected as a Simons Investigator in mathematics.

Demetrios ChristodoulouDemetrios Christodoulou (Greek: Δημήτριος Χριστοδούλου; born October 19, 1951) is a Greek mathematician and physicist, who first became well known for his proof, together with Sergiu Klainerman, of the nonlinear stability of the Minkowski spacetime

of special relativity in the framework of general relativity.

Jesse DouglasJesse Douglas (3 July 1897 – 7 September 1965) was an American mathematician and Fields Medalist known for his general solution of the Problem of Plateau.

Leon SimonLeon Melvyn Simon (born 1945) is a Leroy P. Steele Prize and Bôcher Prize-winning mathematician. He is currently Professor Emeritus in the Mathematics Department at Stanford University.

Lin FanghuaLin Fanghua (Chinese: 林芳華; pinyin: Lín Fānghuá; born 1959), also sometimes written as Fang-Hua Lin, is a Chinese-born American mathematician. He is currently the Silver Professor at the Courant Institute of Mathematical Sciences. He applies rigorous analysis to nonlinear systems and is a leader in this field.

List of Jewish American mathematiciansThis is a list of famous Jewish American mathematicians. For other famous Jewish Americans, see List of Jewish Americans.

Milton Abramowitz (1915-1958), mathematician *

Abraham Adrian Albert (1905-1972), abstract algebra *

Kenneth Appel, four-color problem

Robert Aumann, mathematician in game theory; Nobel Prize in Economics (2005)

Richard Bellman, dynamic programming *

Lipman Bers, non-linear elliptic equations

Salomon Bochner, harmonic analysis *

Raoul Bott, geometry (Jewish mother) *

Richard Brauer, modular representation theory *

Eugenio Calabi, differential geometry *

Paul Cohen, set theorist, Fields Medal (1966) *

Richard Courant, mathematician *

George Dantzig, simplex algorithm *

Martin Davis, mathematician *

Max Dehn, mathematician

Persi Diaconis, statistician (Jewish mother) *

Jesse Douglas, mathematician, Fields Medal (1936)

Samuel Eilenberg, category theorist *

Noam Elkies, mathematician *

Charles Fefferman, mathematician, Fields Medal (1978) *

Mitchell Feigenbaum, chaos theorist

William Feller, probability theory

Michael Freedman, mathematician, Fields Medal (1986) (Jewish father) *

Dorian Goldfeld, number theorist, Cole Prize *

Michael Golomb, theory of approximation

Solomon Golomb, polyominoes

Dovid Gottlieb, mathematition

Branko Grünbaum (1929-2018), discrete geometry *

Paul Halmos, mathematician *

E. Morton Jellinek, biostatistician

Mark Kac, mathematician *

Irving Kaplansky, mathematician *

Edward Kasner, mathematician

Nick Katz, algebraic geometry *

Joseph B. Keller, applied mathematician, National Medal of Science, Wolf Prize, Royal Society (Foreign Member)

Martin Kruskal, mathematician *

Cornelius Lanczos, mathematician and mathematical physicist

Peter Lax, mathematician, Abel Prize (2005) *

Solomon Lefschetz, algebraic topology *

Emma Lehmer, mathematician

Norman Levinson, mathematician *

George Lusztig, representation theory *

Barry Mazur, mathematician *

Ernest A. Michael, general topology *

Louis Mordell, number theorist *

Boris Mordukhovich, variational analysis *

John von Neumann, mathematician

Emanuel Parzen, mathematician

George Pólya, mathematician *

Emil Post, logician *

Herbert Robbins, statistician *

Abraham Robinson, nonstandard analysis *

Arthur Rubin, mathematician

Shlomo Sawilowsky, statistician

Gary Seitz, mathematician *

Isadore Singer, mathematician, Abel Prize (2004) *

Richard P. Stanley, mathematician *

Elias Stein, mathematician *

Shlomo Sternberg, mathematician

Alfred Tarski, logician, mathematician, philosopher

Stanislaw Ulam, mathematician *

André Weil, mathematician *

Norbert Wiener, mathematician, Bôcher Memorial Prize, National Medal of Science *

Edward Witten, M-theory, Fields Medal (1990) *

Oscar Zariski, algebraic geometry *

Marston MorseHarold Calvin Marston Morse (March 24, 1892 – June 22, 1977) was an American mathematician best known for his work on the calculus of variations in the large, a subject where he introduced the technique of differential topology now known as Morse theory. The Morse–Palais lemma, one of the key results in Morse theory, is named after him, as is the Thue–Morse sequence, an infinite binary sequence with many applications. In 1933 he was awarded the Bôcher Memorial Prize for his work in mathematical analysis.

Maxime BôcherMaxime Bôcher (August 28, 1867 – September 12, 1918) was an American mathematician who published about 100 papers on differential equations, series, and algebra. He also wrote elementary texts such as Trigonometry and Analytic Geometry. Bôcher's theorem, Bôcher's equation, and the Bôcher Memorial Prize are named after him.

Norman LevinsonNorman Levinson (August 11, 1912 in Lynn, Massachusetts – October 10, 1975 in Boston) was an American mathematician. Some of his major contributions were in the study of Fourier transforms, complex analysis, non-linear differential equations, number theory, and signal processing. He worked closely with Norbert Wiener in his early career. He joined the faculty of the Massachusetts Institute of Technology in 1937. In 1954, he was awarded the Bôcher Memorial Prize of the American Mathematical Society and in 1971 the Chauvenet Prize (after winning in 1970 the Lester R. Ford Award) of the Mathematical Association of America for his paper A Motivated Account of an Elementary Proof of the Prime Number Theorem. In 1974 he published a paper proving that more than a third of the zeros of the Riemann zeta function lie on the critical line, a result later improved to two fifths by Conrey.

He received both his bachelor's degree and his master's degree in electrical engineering from MIT in 1934, where he had studied under Norbert Wiener and took almost all of the graduate-level courses in mathematics. He received the MIT Redfield Proctor Traveling Fellowship to study at the University of Cambridge, with the assurance that MIT would reward him with a Ph.D. upon his return regardless of whatever he produced at Cambridge. Within the first four months in Cambridge, he had already produced two papers. In 1935, MIT awarded him with the Ph.D. in mathematics.

His death in 1975 was caused by a brain tumor. He was married since 1938; his widow Zipporah died at age 93 in 2009, survived by two daughters and four grandchildren. Norman Levinson's doctoral students include Raymond Redheffer and Harold Shapiro.

Richard Burt MelroseRichard Burt Melrose (1949, Australia) is an Australian mathematician, who works on geometric analysis, partial differential equations, and differential geometry.

Melrose received in 1974 his Ph.D. from Cambridge University under F. Gerard Friedlander with thesis Initial and Initial-Boundary Value Problems. He then became a research fellow at St John’s College, Cambridge. In 1977 he was a visiting scholar at the Institute for Advanced Study. Since 1976 he has been a professor at MIT, where since 2006 he has been the Simons Professor of Mathematics. From 1999 to 2002 he was the chair of the committee for pure mathematics at MIT.

In 1984 Melrose received the Bôcher Memorial Prize for his work on scattering theory. Since 1986 he has been a Fellow of the American Academy of Arts and Sciences. For the academic year 1992–1993 he was a Guggenheim Fellow. He was in 1978 an invited speaker (Singularities of solutions of boundary value problems) at the ICM in Helsinki and in 1990 a plenary speaker (Pseudodifferential operators, corners and singular limits) at the ICM in Kyoto.

His doctoral students include Mark S. Joshi, John M. Lee, and András Vasy.

Sergiu KlainermanSergiu Klainerman (born May 13, 1950) is a mathematician known for his contributions to the study of hyperbolic differential equations and general relativity. He is currently the Eugene Higgins Professor of Mathematics at Princeton University, where he has been teaching since 1987. From 1980 to 1987 he was a faculty member at New York University.

Klainerman is a member of the U.S. National Academy of Sciences (elected 2005), a foreign member of the French Academy of Sciences (elected 2002) and a Fellow of the American Academy of Arts and Sciences (elected 1996).

He was elected to the 2018 class of fellows of the American Mathematical Society.He was named a MacArthur Fellow in 1991 and Guggenheim Fellow in 1997.

Klainerman was awarded the Bôcher Memorial Prize by the American Mathematical Society in 1999 "for his contributions to nonlinear hyperbolic equations". He is currently a co-Editor-in-Chief of Publications Mathématiques de l'IHÉS.

Terence TaoTerence Chi-Shen Tao (born 17 July 1975) is an Australian born American mathematician who has worked in various areas of mathematics. He currently focuses on harmonic analysis, partial differential equations, algebraic combinatorics, arithmetic combinatorics, geometric combinatorics, compressed sensing and analytic number theory. As of 2015, he holds the James and Carol Collins chair in mathematics at the University of California, Los Angeles. Tao was a co-recipient of the 2006 Fields Medal and the 2014 Breakthrough Prize in Mathematics.

Thomas WolffThomas Wolff (July 14, 1954, New York City – July 31, 2000, Kern County) was a noted mathematician, working primarily in the fields of harmonic analysis, complex analysis, and partial differential equations. As an undergraduate at Harvard University he regularly played poker with his classmate Bill Gates. While a graduate student at the University of California, Berkeley from 1976 to 1979, under the direction of Donald Sarason, he obtained a new proof of the corona theorem, a famously difficult theorem in complex analysis. He was made Professor of Mathematics at Caltech in 1986, and was there from 1988–1992 and from 1995 to his death in a car accident in 2000. He also held positions at the University of Washington, University of Chicago, New York University, and University of California, Berkeley.

He received the Salem Prize in 1985 and the Bôcher Memorial Prize in 1999, for his contributions to analysis and particularly to the Kakeya conjecture.

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