The

**Leroy P. Steele Prizes** are awarded every year by the

American Mathematical SocietyThe American Mathematical Society is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, which it does with various publications and conferences as well as annual monetary awards and prizes to mathematicians.The society is one of the...

, for distinguished research work and writing in the field of

mathematicsMathematics is the study of quantity, space, structure, and change. Mathematicians seek out patterns and formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proofs, which are arguments sufficient to convince other mathematicians of their validity...

. Since 1993 there has been a formal division into three categories.

The prizes have been given since 1970, from a bequest of Leroy P. Steele, and were set up in honor of

George David Birkhoff-External links:* − from National Academies Press, by Oswald Veblen....

,

William Fogg OsgoodWilliam Fogg Osgood was an American mathematician, born in Boston.In 1886, he graduated from Harvard, where, after studying at the universities of Göttingen and Erlangen , he was instructor , assistant professor , and thenceforth professor of mathematics...

and William Caspar Graustein. The way the prizes are awarded was changed in 1976 and 1993, but the initial aim of honoring expository writing as well as research has been retained. The prizes of $5,000 are not given on a strict national basis, but relate to mathematical activity in the USA, and writing in English (originally, or in translation).

## The Leroy P. Steele Prize for Lifetime Achievement

- 2011 John W. Milnor
- 2010 William Fulton
- 2009 Luis Caffarelli
Luis A. Caffarelli is an Argentinian mathematician and leader in the field of partial differential equations and their applications....

- 2008 George Lusztig
- 2007 Henry P. McKean
- 2006 Frederick W. Gehring, Dennis P. Sullivan
Dennis Parnell Sullivan is an American mathematician. He is known for work in topology, both algebraic and geometric, and on dynamical systems. He holds the Albert Einstein Chair at the City University of New York Graduate Center, and is a professor at Stony Brook University.-Work in topology:He...

- 2005 Israel M. Gelfand
Israel Moiseevich Gelfand, also written Israïl Moyseyovich Gel'fand, or Izrail M. Gelfand was a Soviet mathematician who made major contributions to many branches of mathematics, including group theory, representation theory and functional analysis...

- 2004 Cathleen Synge Morawetz
Cathleen Synge Morawetz is a mathematician. Morawetz's research was mainly in the study of the partial differential equations governing fluid flow, particularly those of mixed type occurring in transonic flow...

- 2003 Ron Graham
Ron Graham may refer to:*Ronald Graham , American mathematician*Ronald Graham , RAF Air Vice-Marshal*Ron Graham , Australian actor*Ronny Graham , American actor-See also:...

, Victor GuilleminVictor William Guillemin is a mathematician, a leader in the field of symplectic geometry, who has also made fundamental contributions to the fields of microlocal analysis, spectral theory, and mathematical physics...

- 2002 Michael Artin
Michael Artin is an American mathematician and a professor emeritus in the Massachusetts Institute of Technology mathematics department, known for his contributions to algebraic geometry. and also generally recognized as one of the outstanding professors in his field.Artin was born in Hamburg,...

, Elias Stein
- 2001 Harry Kesten
Harry Kesten is an American mathematician best known for his work in probability, most notably on random walks and percolation theory.- Biography :...

- 2000 Isadore M. Singer
- 1999 Richard V. Kadison
- 1998 Nathan Jacobson
Nathan Jacobson was an American mathematician....

- 1997 Ralph S. Phillips
Ralph Saul Phillips was an American mathematician and academic known for his contribution to functional analysis, scattering theory, and servomechanisms. He served as a Professor of mathematics at Stanford University...

- 1996 Goro Shimura
is a Japanese mathematician, and currently a professor emeritus of mathematics at Princeton University.Shimura was a colleague and a friend of Yutaka Taniyama...

- 1995 John T. Tate
- 1994 Louis Nirenberg
Louis Nirenberg is a Canadian mathematician, and one of the outstanding analysts of the twentieth century. He has made fundamental contributions to linear and nonlinear partial differential equations and their application to complex analysis and geometry.He was born in Hamilton, Ontario and...

- 1993 Eugene B. Dynkin

## The Leroy P. Steele Prize for Mathematical Exposition

- 2011 Henryk Iwaniec
Henryk Iwaniec is a Polish American mathematician, and since 1987 a professor at Rutgers University. He was awarded the fourteenth Frank Nelson Cole Prize in Number Theory in 2002. He received the Leroy P. Steele Prize for Mathematical Exposition in 2011.-Background and education:Iwaniec studied...

- 2010 David Eisenbud
David Eisenbud is an American mathematician. He is a professor of mathematics at the University of California, Berkeley and was Director of the Mathematical Sciences Research Institute from 1997 to 2007....

- 2009 Ian G. Macdonald
Ian Grant Macdonald is a British mathematician known for his contributions to symmetric functions, special functions, Lie algebra theory and other aspects of algebraic combinatorics ....

, for his book *Symmetric functions and Hall polynomials*
- 2008 Neil Trudinger
Neil Sidney Trudinger is an Australian mathematician, known particularly for his work in the field of nonlinear elliptic partial differential equations....

- 2007 David Mumford
David Bryant Mumford is an American mathematician known for distinguished work in algebraic geometry, and then for research into vision and pattern theory. He won the Fields Medal and was a MacArthur Fellow. In 2010 he was awarded the National Medal of Science...

- 2006 Lars V. Hörmander
Lars Valter Hörmander is a Swedish mathematician who has been called "the foremost contributor to the modern theory of linear partial differential equations". He was awarded the Fields Medal in 1962, and the Wolf Prize in 1988...

- 2005 Branko Grünbaum
Branko Grünbaum is a Croatian-born mathematician and a professor emeritus at the University of Washington in Seattle. He received his Ph.D. in 1957 from Hebrew University of Jerusalem in Israel....

- 2004 John W. Milnor
- 2003 John B. Garnett
John Brady Garnett is an American mathematician at the University of California, Los Angeles, known for his work in harmonic analysis. He received his Ph.D. at the University of Washington in 1966, under the supervision of Irving Glicksberg. He received the Steele Prize for Mathematical Exposition...

- 2002 Yitzhak Katznelson
- 2001 Richard P. Stanley
Richard Peter Stanley is the Norman Levinson Professor of Applied Mathematics at the Massachusetts Institute of Technology, in Cambridge, Massachusetts. He received his Ph.D. at Harvard University in 1971 under the supervision of Gian-Carlo Rota...

, for his two-volume *Enumerative Combinatorics*
- 2000 John H. Conway
- 1999 Serge Lang
Serge Lang was a French-born American mathematician. He was known for his work in number theory and for his mathematics textbooks, including the influential Algebra...

- 1998 Joseph H. Silverman
Joseph Hillel Silverman is currently a professor of mathematics at Brown University. Joseph Silverman received an Sc.B. from Brown University in 1977 and a Ph.D. from Harvard University in 1982 under the direction of John Tate. He taught at M.I.T...

- 1997 Anthony W. Knapp
- 1996 Bruce C. Berndt
Bruce Carl Berndt is an American mathematician. He attended college at Albion College, graduating in 1961, where he also ran track....

, William FultonWilliam Edgar Fulton is an American mathematician, specializing in algebraic geometry. He received his undergraduate degree from Brown University in 1961 and his doctorate from Princeton University in 1966. Fulton worked at Princeton and Brandeis University from 1965 until 1970, when he began...

- 1995 Jean-Pierre Serre
Jean-Pierre Serre is a French mathematician. He has made contributions in the fields of algebraic geometry, number theory, and topology.-Early years:...

- 1994 Ingrid Daubechies
Ingrid Daubechies is a Belgian physicist and mathematician. She was between 2004 and 2011 the William R. Kenan Jr. Professor in the mathematics and applied mathematics departments at Princeton University. In January 2011 she moved to Duke University as a Professor in mathematics. She is the first...

- 1993 Walter Rudin
Walter Rudin was an American mathematician, for most of his career a Professor of Mathematics at the University of Wisconsin–Madison....

, for his books *Principles of Mathematical Analysis* and *Real and Complex Analysis*

## The Leroy P. Steele Prize for Seminal Contribution to Research

- 2011 Ingrid Daubechies
Ingrid Daubechies is a Belgian physicist and mathematician. She was between 2004 and 2011 the William R. Kenan Jr. Professor in the mathematics and applied mathematics departments at Princeton University. In January 2011 she moved to Duke University as a Professor in mathematics. She is the first...

- 2010 Robert Griess
- 2009 Richard Hamilton
Richard Streit Hamilton is Davies Professor of mathematics at Columbia University.He received his B.A in 1963 from Yale University and Ph.D. in 1966 from Princeton University. Robert Gunning supervised his thesis...

- 2008 Endre Szemerédi
Endre Szemerédi is a Hungarian mathematician, working in the field of combinatorics and theoretical computer science. He is the State of New Jersey Professor of computer science at Rutgers University since 1986...

- 2007 Karen Uhlenbeck
Karen Keskulla Uhlenbeck is a professor and Sid W. Richardson Regents Chairholder in the Department of Mathematics at The University of Texas in Austin. In 1998 she was selected to be a Noether Lecturer. In 2000, she became a recipient of the National Medal of Science...

- 2006 Clifford S. Gardner, John M. Greene, Martin D. Kruskal
Martin David Kruskal was an American mathematician and physicist. He made fundamental contributions in many areas of mathematics and science, ranging from plasma physics to general relativity and from nonlinear analysis to asymptotic analysis...

, Robert M. MiuraRobert M. Miura is a Distinguished Professor of Mathematical Sciences and of Biomedical Engineering at New Jersey Institute of Technology in Newark, New Jersey.-Education:...

- 2005 Robert P. Langlands
- 2004 Lawrence C. Evans
Lawrence Craig Evans is an American mathematician and Professor of Mathematics at the University of California, Berkeley. He received his Ph.D. with thesis advisor Michael G. Crandall at the University of California, Los Angeles in 1975.His research is in the field of nonlinear partial...

and Nicolai V. Krylov
- 2003 Ronald Jensen
Ronald Björn Jensen is an American mathematician active in Europe, primarily known for his work in mathematical logic and set theory.-Career:...

and Michael MorleyMichael Darwin Morley is an American mathematician, currently professor emeritus at Cornell University.His research is in advanced mathematical logic and model theory, and he is best known for Morley's categoricity theorem, which he proved in his Ph.D. thesis "Categoricity in Power" in 1962.His...

- 2002 Mark Goresky
Robert Mark Goresky is a Canadian mathematician who invented intersection homology with Robert MacPherson.He received his Ph.D. from Brown University in 1976. His thesis, titled Geometric Cohomology and Homology of Stratified Objects, was written under the direction of MacPherson...

and Robert MacPherson
- 2001 Leslie F. Greengard and Vladimir Rokhlin
Vladimir Rokhlin is mathematician and professor of computer science and mathematics at the Yale University. He is co-inventor of the fast multipole method in 1987, recognised as one of the top-ten algorithms of the 20th century.-Short biography:Vladimir Rokhlin was born on August 4, 1952 in...

- 2000 Barry Mazur
-Life:Born in New York City, Mazur attended the Bronx High School of Science and MIT, although he did not graduate from the latter on account of failing a then-present ROTC requirement. Regardless, he was accepted for graduate school and received his Ph.D. from Princeton University in 1959,...

- 1999 Michael G. Crandall, John F. Nash
- 1998 Herbert Wilf
Herbert Saul Wilf is a mathematician, specializing in combinatorics and graph theory. He was the Thomas A. Scott Professor of Mathematics in Combinatorial Analysis and Computing at the University of Pennsylvania. He has written numerous books and research papers...

and Doron ZeilbergerDoron Zeilberger is an Israeli mathematician, known for his work in combinatorics.He is a Board of Governors Professor of Mathematics at Rutgers University...

- 1997 Mikhail Gromov
- 1996 Daniel Stroock and S. R. Srinivasa Varadhan
Sathamangalam Ranga Iyengar Srinivasa Varadhan FRS is an Indian-American mathematician from Madras , Tamil Nadu, India.-Biography:...

- 1995 Edward Nelson
Edward Nelson is a professor in the Mathematics Department at Princeton University. He is known for his work on mathematical physics and mathematical logic...

- 1994 Louis de Branges
- 1993 George Daniel Mostow

## Leroy P. Steele Prizes awarded prior to 1993

- 1992 Jacques Dixmier
Jacques Dixmier is a French mathematician. He worked on operator algebras, and wrote several of the standard reference books on them, and introduced the Dixmier trace. He received his Ph.D. in 1949 from the University of Paris, and his students include Alain Connes.-Publications:*J. Dixmier,...

for his books von Neumann Algebras (Algèbres de von Neumann ), Gauthier-Villars, Paris (1957); C*-Algebras (Les C*-Algèbres et leurs Representations ), Gauthier-Villars, Paris (1964); and Enveloping Algebras (Algèbres Enveloppantes ), Gauthier-Villars, Paris (1974).
- 1992 James Glimm
James Gilbert Glimm is an American mathematical physicist, and Professor at the State University of New York at Stony Brook.James Glimm was born in Peoria, Illinois, USA on 24 March 1934.- Career :...

for his paper, Solution in the large for nonlinear hyperboic systems of conservation laws, Communications on Pure and Applied Mathematics, XVIII (1965), pp. 697-715.
- 1992: Peter D. Lax for his numerous and fundamental contributions to the theory and applications of linear and nonlinear partial differential equations and functional analysis, for his leadership in the development of computational and applied mathematics, and for his extraordinary impact as a teacher.
- 1991: Jean-François Treves for Pseudodifferential and Fourier Integral Operators, Volumes 1 and 2 (Plenum Press, 1980).
- 1991 Eugenio Calabi
Eugenio Calabi is a Italian American mathematician and professor emeritus at the University of Pennsylvania, specializing in differential geometry, partial differential equations and their applications....

for his fundamental work on global differential geometry, especially complex differential geometry.
- 1991 Armand Borel
Armand Borel was a Swiss mathematician, born in La Chaux-de-Fonds, and was a permanent professor at the Institute for Advanced Study in Princeton, New Jersey, United States from 1957 to 1993...

for his extensive contributions in geometry and topology, the theory of Lie groups, their lattices and representations and the theory of automorphic forms, the theory of algebraic groups and their representations and extensive organizational and educational efforts to develop and disseminate modern
- 1990 R. D. Richtmyer for his book Difference Methods for Initial-Value Problems (Interscience, 1st Edition 1957 and 2nd Edition, with K. Morton, 1967).
- 1990 Bertram Kostant
-Early life and education:Kostant grew up in New York City, where he graduated from the celebrated Stuyvesant High School in 1945. He went on to obtain an undergraduate degree in mathematics from Purdue University in 1950. He earned his Ph.D...

for his paper, On the existence and irreducibility of certain series of representations, Lie Groups and their Representations (1975), pp. 231-329.
- 1990 Raoul Bott
Raoul Bott, FRS was a Hungarian mathematician known for numerous basic contributions to geometry in its broad sense...

for having been instrumental in changing the face of geometry and topology, with his incisive contributions to characteristic classes, K-theory, index theory, and many other tools of modern mathematics.
- 1989 Daniel Gorenstein
Daniel E. Gorenstein was an American mathematician. He earned his undergraduate and graduate degrees at Harvard University, where he earned his Ph.D. in 1950 under Oscar Zariski, introducing in his dissertation Gorenstein rings...

for his book Finite Simple Groups, An Introduction to their Classification (Plenum Press, 1982); and his two survey articles The Classification of Finite Simple Groups and Classifying the Finite Simple Groups, Bulletin of the American Mathematical Society, volume 1 (1979) pp. 43-199, and volume 14 (1986) pp. 1-98, respectively.
- 1989 Alberto Calderón
Alberto Pedro Calderón was an Argentine mathematician best known for his work on the theory of partial differential equations and singular integral operators, and widely considered as one of the 20th century's most important mathematicians...

for his paper Uniqueness in the Cauchy Problem for Partial Differential Equations, American Journal ofMathematics, volume 80 (1958), pp. 16-36.
- 1989 Irving Kaplansky
Irving Kaplansky was a Canadian mathematician.-Biography:He was born in Toronto, Ontario, Canada, after his parents emigrated from Poland and attended the University of Toronto as an undergraduate. After receiving his Ph.D...

for his lasting impact on mathematics, particularly mathematics in America. By his energetic example, his enthusiastic exposition, and his overall generosity, he has made striking changes in mathematics and has inspired generations of younger mathematicians.
- 1988 Sigurdur Helgason
Sigurdur Helgason is an Icelandic-American mathematician specializing in integral geometry and its generalizations to symmetric spaces. He was born in Akureyri, Iceland. Since 1965, he has been a professor of mathematics at the Massachusetts Institute of Technology. He was winner of the 1988...

for his books Differential Geometry and Symmetric Spaces (Academic Press, 1962), Differential Geometry, Lie Groups, and Symmetric Spaces (Academic Press, 1978); and Groups and Geometric Analysis (Academic Press, 1984).
- 1988 Gian-Carlo Rota
Gian-Carlo Rota was an Italian-born American mathematician and philosopher.-Life:Rota was born in Vigevano, Italy...

for his paper On the foundations of combinatorial theory, I. Theory of Möbius functions, Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete, volume 2 (1964), pp. 340-368.
- 1988 Deane Montgomery
Deane Montgomery was a mathematician specializing in topology who was one of the contributors to the final resolution of Hilbert's fifth problem in the 1950s. He served as President of the American Mathematical Society from 1961 to 1962....

for his lasting impact on mathematics, particularly mathematics in America. He is one of the founders of the modern theory of transformation groups and is particularly known for his contributions to the solution of Hilbert's fifth problem.
- 1987 Martin Gardner
Martin Gardner was an American mathematics and science writer specializing in recreational mathematics, but with interests encompassing micromagic, stage magic, literature , philosophy, scientific skepticism, and religion...

for his many books and articles on mathematics and particularly for his column "Mathematical Games" in Scientific American.
- 1987 Herbert Federer
Herbert Federer was an American mathematician. He is one of the creators of geometric measure theory, at the meeting point of differential geometry and mathematical analysis.-Career:...

and Wendell Fleming for their pioneering paper, Normal and integral currents, Annals of Mathematics, volume 72 (1960), pp. 458-520.
- 1987 Samuel Eilenberg
Samuel Eilenberg was a Polish and American mathematician of Jewish descent. He was born in Warsaw, Russian Empire and died in New York City, USA, where he had spent much of his career as a professor at Columbia University.He earned his Ph.D. from University of Warsaw in 1936. His thesis advisor...

for his fundamental contributions to topology and algebra, in particular for his classic papers on singular homology and his work on axiomatic homology theory which had a profound influence on the development of algebraic toplogy.
- 1986 Donald E. Knuth for his expository work, The Art of Computer Programming, 3 Volumes (1st Edition 1968, 2nd Edition 1973).
- 1986 Rudolf E. Kálmán for his two fundamental papers: A new approach to linear filtering and prediction problems, Journal of Basic Engineering, volume 82, (1960), pp. 35-45; and Mathematical description of linear dynamical systems, SIAM Journal on Control and Optimization, volume 1 (1963), pp. 152-192; and for his contribution to a third paper, (with R. S. Bucy) New results in linear filtering and prediction theory, Journal of Basic Engineering, volume 83D (1961), pp. 95-108.
- 1986 Saunders Mac Lane
Saunders Mac Lane was an American mathematician who cofounded category theory with Samuel Eilenberg.-Career:...

for his many contributions to algebra and algebraic topology, and in particular for his pioneering work in homological and categorical algebra.
- 1985 Michael Spivak
Michael David Spivak is a mathematician specializing in differential geometry, an expositor of mathematics, and the founder of Publish-or-Perish Press. He is the author of the five-volume Comprehensive Introduction to Differential Geometry. He received a Ph.D...

for his five-volume set, A Comprehensive Introduction to Differential Geometry (second edition, Publish or Perish, 1979).
- 1985 Robert Steinberg
Robert Steinberg is a mathematician at the University of California, Los Angeles who invented the Steinberg representation, the Steinberg group in algebraic K-theory, and the Steinberg groups in Lie theory that yield finite simple groups over finite fields. He received his Ph.D...

for three papers on various aspects of the theory of algebraic groups: Representations of algebraic groups, Nagoya Mathematical Journal, volume 22 (1963), pp. 33-56; Regular elements of semisimple algebraic groups, Institut des Hautes Études Scientifiques, Publications Mathématiques, volume 25 (1965), pp. 49-80; and Endomorphisms of linear algebraic groups, Memoirs of the American Mathematical Society, volume 80 (1968).
- 1985 Hassler Whitney
Hassler Whitney was an American mathematician. He was one of the founders of singularity theory, and did foundational work in manifolds, embeddings, immersions, and characteristic classes.-Work:...

for his fundamental work on geometric problems, particularly in the general theory of manifolds, in the study of differentiable functions on closed sets, in geometric integration theory, and in the geometry of the tangents to a singular analytic space.
- 1984 Elias M. Stein
Elias Menachem Stein is a mathematician and a leading figure in the field of harmonic analysis. He is the Albert Baldwin Dod Professor of Mathematics at Princeton University.-Biography:...

for his book, Singular integrals and the differentiability properties of functions, Princeton University Press (1970).
- 1984 Lennart Carleson
Lennart Axel Edvard Carleson is a Swedish mathematician, known as a leader in the field of harmonic analysis.-Life:He was a student of Arne Beurling and received his Ph.D. from Uppsala University in 1950...

for his papers: An interpolation problem for bounded analytic functions, American Journal of Mathematics, volume 80 (1958), pp. 921-930; Interpolation by bounded analytic functions and the Corona problem, Annals of Mathematics (2), volume 76 (1962), pp. 547-559; and On convergence and growth of partial sums of Fourier series, Acta Mathematica volume 116 (1966), pp. 135-157.
- 1984 Joseph L. Doob for his fundamental work in establishing probability as a branch of mathematics and for his continuing profound influence on its development.
- 1983 Paul R. Halmos for his many graduate texts in mathematics and for his articles on how to write, talk and publish mathematics.
- 1983 Stephen Cole Kleene
Stephen Cole Kleene was an American mathematician who helped lay the foundations for theoretical computer science...

for three important papers which formed the basis for later developments in generalized recursion theory and descriptive set theory: Arithmetical predicates and function quantifiers, Transactions of the American Mathematical Society 79 (1955), pp. 312-340; On the forms of the predicates in the theory of constructive ordinals (second paper), American Journal of Mathematics 77 (1955), pp. 405-428; and Hierarchies of number-theoretic predicates, Bulletin of the American Mathematical Society 61 (1955), pp. 193-213.
- 1983 Shiing-Shen Chern
Shiing-Shen Chern was a Chinese American mathematician, one of the leaders in differential geometry of the twentieth century.-Early years in China:...

for the cumulative influence of his total mathematical work, high level of research over a period of time, particular influence on the development of the field of differential geometry, and influence on mathematics through Ph.D. students.
- 1982 Lars Ahlfors for his expository work in Complex analysis (McGraw-Hill Book Company, New York, 1953), and in Lectures on quasiconformal mappings (D. Van Nostrand Co., Inc., New York, 1966) and Conformal invariants (McGraw-Hill Book Company, New York, 1973).
- 1982 Tsit-Yuen Lam for his expository work in his book Algebraic theory of quadratic forms (1973), and four of his papers: K_0 and K_1-an introduction to algebraic K-theory (1975), Ten lectures on quadratic forms over fields (1977), Serre's conjecture (1978), and The theory of ordered fields (1980).
- 1982 John W. Milnor for a paper of fundamental and lasting importance, On manifolds homeomorphic to the 7-sphere, Annals of Mathematics (2) 64 (1956), pp. 399-405.
- 1982 Fritz John
Fritz John was a German-born mathematician specialising in partial differential equations and ill-posed problems. His early work was on the Radon transform and he is remembered for John's equation.-Biography:...

for the cumulative influence of his total mathematical work, high level of research over a period of time, particular influence on the development of a field, and influence on mathematics through Ph.D. students.
- 1981 Oscar Zariski
Oscar Zariski was a Russian mathematician and one of the most influential algebraic geometers of the 20th century.-Education:...

for his work in algebraic geometry, especially his fundamental contributions to the algebraic foundations of this subject.
- 1981 Eberhard Hopf
Eberhard Frederich Ferdinand Hopf was a mathematician and astronomer, one of the founding fathers of ergodic theory and a pioneer of bifurcation theory who also made significant contributions to the subjects of partial differential equations and integral equations, fluid dynamics, and differential...

for three papers of fundamental and lasting importance: Abzweigung einer periodischen Lösung von einer stationären Lösung eines Differential systems, Berichte über die Verhandlungen der Sächsischen Akademie der Wissenschaften zu Leipzig. Mathematisch-Naturwissenschaftliche Klasse, volume 95 (1943), pp. 3-22; A mathematical example displaying features of turbulence, Communications on Applied Mathematics, volume 1 (1948), pp. 303-322; and The partial differential equation u_t + uu_x = u_{xx}, Communications on Pure and Applied Mathematics, volume 3 (1950), pp. 201-230.
- 1981 Nelson Dunford
Nelson Dunford was an American mathematician, known for his work in functional analysis, namely integration of vector valued functions, ergodic theory, and linear operators. The Dunford decomposition, Dunford–Pettis property, and Dunford-Schwartz theorem bear his name.He studied mathematics at the...

, Jacob T. Schwartz for their expository book, Linear operators, Part I, General theory, 1958; Part II, Spectral theory, 1963; Part III, Spectral operators, 1971, Interscience Publishers, New York.
- 1980 André Weil
André Weil was an influential mathematician of the 20th century, renowned for the breadth and quality of his research output, its influence on future work, and the elegance of his exposition. He is especially known for his foundational work in number theory and algebraic geometry...

for the total effect of his work on the general course of twentieth century mathematics, especially in the many areas in which he has made fundamental contributions.
- 1980 Harold M. Edwards for mathematical exposition in his books Riemann's zeta function, Pure and Applied Mathematics, number 58, Academic Press, New York and London, 1974; and Fermat's last theorem, Graduate Texts in Mathematics, number 50, Springer-Verlag, New York and Berlin, 1977.
- 1980 Gerhard Hochschild
Gerhard Paul Hochschild was an American mathematician who worked on Lie groups, algebraic groups, homological algebra and algebraic number theory....

for his significant work in homological algebra and its applications.
- 1979 Antoni Zygmund
Antoni Zygmund was a Polish-born American mathematician.-Life:Born in Warsaw, Zygmund obtained his PhD from Warsaw University and became a professor at Stefan Batory University at Wilno...

for his cumulative influence on the theory of Fourier series, real variables, and related areas of analysis.
- 1979 Robin Hartshorne
Robin Cope Hartshorne is an American mathematician. Hartshorne is an algebraic geometer who studied with Zariski, Mumford, J.-P. Serre and Grothendieck....

for his expository research article Equivalence relations on algebraic cycles and subvarieties of small codimension, Proceedings of Symposia in Pure Mathematics, volume 29, American Mathematical Society, 1975, pp. 129-164; and his book Algebraic geometry, Springer-Verlag, Berlin and New York, 1977.
- 1979 Joseph J. Kohn
Joseph John Kohn is a Professor Emeritus of mathematics at Princeton University, where he does research on partial differential operators and function theory.-Life and work:...

for his fundamental paper: Harmonic integrals on strongly convex domains. I, II, Annals of Mathematics, Series 2, volume 78 (1963), pp. 112-248 and volume 79 (1964), pp. 450-472.
- 1979 Salomon Bochner
Salomon Bochner was an American mathematician of Austrian-Hungarian origin, known for wide-ranging work in mathematical analysis, probability theory and differential geometry.- Life :...

for his cumulative influence on the fields of probability theory, Fourier analysis, several complex variables, and differential geometry.
- 1979 Hans Lewy
Hans Lewy was an American mathematician, known for his work on partial differential equations and on the theory of functions of several complex variables....

for three fundamental papers: On the local character of the solutions of an atypical linear differential equation in three variables and a related theorem for regular functions of two complex variables, Annals of Mathematics, Series 2, volume 64 (1956), pp. 514-522; An example of a smooth linear partial differential equation without solution, Annals of Mathematics, Series 2, volume 66 (1957), pp. 155-158; On hulls of holomorphy, Communications in Pure and Applied Mathematics, volume 13 (1960), pp. 587-591.
- 1976, 1977, 1978: No awards were made.
- 1975 George W. Mackey for his paper, Ergodic theory and its significance for statistical mechanics and probability theory, Advances in Mathematics, volume 12 (1974), pp. 178-286.
- 1975 H. Blaine Lawson
Blaine Lawson is a mathematician best known for his work in minimal surfaces, calibrated geometry, and algebraic cycles. His current position is...

for his paper, Foliations, Bulletin of the American Mathematical Society, volume 80 (1974), pp. 369-418.
- 1975 Lipman Bers
Lipman Bers was an American mathematician born in Riga who created the theory of pseudoanalytic functions and worked on Riemann surfaces and Kleinian groups.-Biography:...

for his paper, Uniformization, moduli, and Kleinian groups, Bulletin of the London Mathematical Society, volume 4 (1972), pp. 257-300.
- 1975 Martin Davis
Martin David Davis, is an American mathematician, known for his work on Hilbert's tenth problem . He received his Ph.D. from Princeton University in 1950, where his adviser was Alonzo Church . He is Professor Emeritus at New York University. He is the co-inventor of the Davis-Putnam and the DPLL...

for his paper, Hilbert's tenth problem is unsolvable, American Mathematical Monthly, volume 80 (1973), pp. 233-269.
- 1975 Joseph L. Taylor for his paper, Measure algebras, CBMS Regional Conference Series in Mathematics, Number 16, American Mathematical Society, 1972.
- 1972 Edward B. Curtis for his paper, Simplicial homotopy theory, Advances in Mathematics, volume 6 (1971), pp. 107-209.
- 1972 William J. Ellison for his paper, Waring's problem, American Mathematical Monthly, volume 78 (1971), pp. 10-36.
- 1972 Lawrence E. Payne for his paper, Isoperimetric inequalities and their applications, SIAM Review, volume 9 (1967), pp. 453-488.
- 1972 Dana S. Scott for his paper, A proof of the independence of the continuum hypothesis, Mathematical Systems Theory, volume 1 (1967), pp. 89-111.
- 1971 James B. Carrell for his paper, written jointly with Jean A. Dieudonne, Invariant theory, old and new, Advances in Mathematics, volume 4 (1970), pp. 1-80.
- 1971 Jean Dieudonné
Jean Alexandre Eugène Dieudonné was a French mathematician, notable for research in abstract algebra and functional analysis, for close involvement with the Nicolas Bourbaki pseudonymous group and the Éléments de géométrie algébrique project of Alexander Grothendieck, and as a historian of...

for his paper, Algebraic geometry, Advances in Mathematics, volume 3 (1969), pp. 223-321, and for his paper, written jointly with James B. Carrell, Invariant theory, old and new, Advances in Mathematics, volume 4 (1970), pp. 1-80.
- 1971 Phillip A. Griffiths for his paper, Periods of integrals on algebraic manifolds, Bulletin of the American Mathematical Society, volume 76 (1970), pp. 228-296.
- 1970 Solomon Lefschetz
Solomon Lefschetz was an American mathematician who did fundamental work on algebraic topology, its applications to algebraic geometry, and the theory of non-linear ordinary differential equations.-Life:...

for his paper, A page of mathematical autobiography, Bulletin of the American Mathematical Society,volume 74 (1968), pp. 854-879.

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