Vladimir Igorevich Arnold (alternative spelling Arnol'd, Russian:
Влади́мир И́горевич Арно́льд, 12 June 1937
– 3 June 2010) was a Soviet and Russian mathematician.
While he is best known for the Kolmogorov–Arnold–Moser theorem
regarding the stability of integrable systems, he made important
contributions in several areas including dynamical systems theory,
catastrophe theory, topology, algebraic geometry, symplectic geometry,
differential equations, classical mechanics, hydrodynamics and
singularity theory, including posing the
ADE classification problem,
since his first main result—the solution of Hilbert's thirteenth
problem in 1957 at the age of 19.
Arnold was also known as a popularizer of mathematics. Through his
lectures, seminars, and as the author of several textbooks and popular
mathematics books, he influenced many mathematicians and
physicists. Many of his books were translated into English.
2 Popular mathematical writings
3.1 Dynamical systems
3.2 Singularity theory
3.3 Fluid dynamics
3.4 Real algebraic geometry
3.5 Symplectic geometry
4 Honours and awards
Fields Medal omission
5 Selected bibliography
5.1 Collected works
6 See also
8 Further reading
9 External links
Vladimir Igorevich Arnold was born on 12 June 1937 in Odessa, Soviet
Union. His father was Igor Vladimirovich Arnold (1900–1948), a
mathematician. His mother was Nina Alexandrovna Arnold (1909–1986,
née Isakovich), an art historian. When Arnold was thirteen, an
uncle who was an engineer told him about calculus and how it could be
used to understand some physical phenomena, this contributed to spark
his interest for mathematics, and he started to study by himself the
mathematical books his father had left to him, which included some
Leonhard Euler and Charles Hermite.
While a student of
Andrey Kolmogorov at
Moscow State University
Moscow State University and
still a teenager, Arnold showed in 1957 that any continuous function
of several variables can be constructed with a finite number of
two-variable functions, thereby solving Hilbert's thirteenth
problem. This is the Kolmogorov–Arnold representation theorem.
After graduating from
Moscow State University
Moscow State University in 1959, he worked there
until 1986 (a professor since 1965), and then at Steklov Mathematical
He became an academician of the Academy of Sciences of the Soviet
Russian Academy of Science
Russian Academy of Science since 1991) in 1990. Arnold can
be said to have initiated the theory of symplectic topology as a
distinct discipline. The
Arnold conjecture on the number of fixed
points of Hamiltonian symplectomorphisms and Lagrangian intersections
were also a major motivation in the development of Floer homology.
In 1999 he suffered a serious bike accident in Paris, resulting in
traumatic brain injury, and though he regained consciousness after a
few weeks, he had amnesia and for some time could not even recognize
his own wife at the hospital, but he went on to make a good
Arnold worked at the
Steklov Mathematical Institute
Steklov Mathematical Institute in
Moscow and at
Paris Dauphine University up until his death. As of 2006[update] he
was reported to have the highest citation index among Russian
scientists, and h-index of 40.
To his students and colleagues Arnold was known also for his sense of
humour. For example, once at his seminar in Moscow, at the beginning
of the school year, when he usually was formulating new problems, he
“There is a general principle that a stupid man can ask such
questions to which one hundred wise men would not be able to answer.
In accordance with this principle I shall formulate some
Arnold died of acute pancreatitis on 3 June 2010 in Paris, nine
days before his 73rd birthday. His students include Alexander
Givental, Victor Goryunov, Sabir Gusein-Zade, Emil Horozov, Boris
Khesin, Askold Khovanskii, Nikolay Nekhoroshev, Boris Shapiro,
Victor Vassiliev and Vladimir Zakalyukin.
He was buried on June 15 in Moscow, at the Novodevichy Monastery.
In a telegram to Arnold's family,
Russian President Dmitry Medvedev
“The death of Vladimir Arnold, one of the greatest mathematicians of
our time, is an irretrievable loss for world science. It is difficult
to overestimate the contribution made by academician Arnold to modern
mathematics and the prestige of Russian science.
Teaching had a special place in Vladimir Arnold's life and he had
great influence as an enlightened mentor who taught several
generations of talented scientists.
The memory of
Vladimir Arnold will forever remain in the hearts of his
colleagues, friends and students, as well as everyone who knew and
admired this brilliant man.”
Popular mathematical writings
Arnold is well known for his lucid writing style, combining
mathematical rigour with physical intuition, and an easy
conversational style of teaching and education. His writings present a
fresh, often geometric approach to traditional mathematical topics
like ordinary differential equations, and his many textbooks have
proved influential in the development of new areas of mathematics. The
standard criticism about Arnold's pedagogy is that his books "are
beautiful treatments of their subjects that are appreciated by
experts, but too many details are omitted for students to learn the
mathematics required to prove the statements that he so effortlessly
justifies." His defense is that his books are meant to teach the
subject to "those who truly wish to understand it" (Chicone,
Arnold was an outspoken critic of the trend towards high levels of
abstraction in mathematics during the middle of the last century. He
had very strong opinions on how this approach—which was most
popularly implemented by the Bourbaki school in France—initially had
a negative impact on French mathematical education, and then later on
that of other countries as well. Arnold was very interested in
the history of mathematics. In an interview, he said he had
learned much of what he knew about mathematics through the study of
Felix Klein's book Development of
Mathematics in the 19th Century —a
book he often recommended to his students. He liked to study the
classics, most notably the works of Huygens, Newton and Poincaré,
and many times he reported to have found in their works ideas that had
not been explored yet.
This section needs expansion. You can help by adding to it. (February
See also: Hilbert's thirteenth problem, Arnold conjecture, and
Stability of the Solar System
Arnold worked on dynamical systems theory, catastrophe theory,
topology, algebraic geometry, symplectic geometry, differential
equations, classical mechanics, hydrodynamics and singularity
Kolmogorov–Arnold–Moser theorem and Arnold diffusion
Moser and Arnold expanded the ideas of Kolmogorov (who was inspired by
questions of Poincaré) and gave rise to what is now known as
Kolmogorov–Arnold–Moser theorem (or "KAM theory"), which concerns
the persistence of some quasi-periodic motions (nearly integrable
Hamiltonian systems) when they are perturbed. KAM theory shows that,
despite the perturbations, such systems can be stable over an infinite
period of time, and specifies what the conditions for this are.
In 1965, Arnold attended René Thom's seminar on catastrophe theory.
He later said of it: "I am deeply indebted to Thom, whose singularity
seminar at the Institut des Hautes Etudes Scientifiques, which I
frequented throughout the year 1965, profoundly changed my
mathematical universe." After this event, singularity theory
became one of the major interests of Arnold and his students.
Among his most famous results in this area is his classification of
simple singularities, contained in his paper "Normal forms of
functions near degenerate critical points, the Weyl groups of Ak,Dk,Ek
and Lagrangian singularities".
In 1966, Arnold published "Sur la géométrie différentielle des
groupes de Lie de dimension infinie et ses applications à
l'hydrodynamique des fluides parfaits", in which he presented a common
geometric interpretation for both the Euler's equations for rotating
rigid bodies and the Euler's equations of fluid dynamics, this
effectively linked topics previously thought to be unrelated, and
enabled mathematical solutions to many questions related to fluid
flows and their turbulence.
Real algebraic geometry
In the year 1971, Arnold published "On the arrangement of ovals of
real plane algebraic curves, involutions of four-dimensional smooth
manifolds, and the arithmetic of integral quadratic forms", which
gave new life to real algebraic geometry. In it, he made major
advances in the direction of a solution to Gudkov's conjecture, by
finding a connection between it and four-dimensional topology. The
conjecture was to be later fully solved by V. A. Rokhlin building on
The Arnold conjecture, linking the number of fixed points of
Hamiltonian symplectomorphisms and the topology of the subjacent
manifolds, was the motivating source of many of the pioneer studies in
According to Victor Vassiliev, Arnold "worked comparatively little on
topology for topology's sake." And he was rather motivated by problems
on other areas of mathematics where topology could be of use. His
contributions include the invention of a topological form of the
Abel–Ruffini theorem and the initial development of some of the
consequent ideas, a work which resulted in the creation of the field
of topological Galois theory in the 1960s.
Arnold conjectured the existence of the gömböc.
Honours and awards
Lenin Prize (1965, with Andrey Kolmogorov), "for work on celestial
Crafoord Prize (1982, with Louis Nirenberg), "for contributions to
the theory of non-linear differential equations."
Foreign Honorary Member of the American Academy of Arts and Sciences
Foreign Member of the Royal Society
Foreign Member of the Royal Society (ForMemRS) of London in
Lobachevsky Prize of the Russian Academy of Sciences (1992)
Harvey Prize (1994), "for basic contribution to the stability theory
of dynamical systems, his pioneering work on singularity theory and
seminal contributions to analysis and geometry."
Dannie Heineman Prize for Mathematical Physics (2001), "for his
fundamental contributions to our understanding of dynamics and of
singularities of maps with profound consequences for mechanics,
astrophysics, statistical mechanics, hydrodynamics and optics."
Wolf Prize in
Mathematics (2001), "for his deep and influential work
in a multitude of areas of mathematics, including dynamical systems,
differential equations, and singularity theory."
State Prize of the Russian Federation
State Prize of the Russian Federation (2007), "for outstanding
success in mathematics."
Shaw Prize in mathematical sciences (2008, with Ludwig Faddeev), "for
their contributions to mathematical physics."
The minor planet
10031 Vladarnolda was named after him in 1981 by
Lyudmila Georgievna Karachkina.
The Arnold Mathematical Journal, published for the first time in 2015,
is named after him.
He was a plenary speaker at both the 1974 and 1983 International
Congress of Mathematicians in
Vancouver and Warsaw, respectively.
Fields Medal omission
Even though Arnold was nominated for the 1974 Fields Medal, which was
then viewed as the highest honour a mathematician could receive,
interference from the Soviet government led to it being withdrawn.
Arnold's public opposition to the persecution of dissidents had led
him into direct conflict with influential Soviet officials, and he
suffered persecution himself, including not being allowed to leave the
Soviet Union during most of the 1970s and 1980s.
1966: "Sur la géométrie différentielle des groupes de Lie de
dimension infine et ses applications a l'hydrodynamique des fluides
Annales de l'Institut Fourier 16: 319–361
1980: Mathematical Methods of Classical Mechanics, Springer-Verlag,
1985: (with S. M. Gusein-Zade & A. N. Varchenko) Singularities of
Differentiable Maps, Volume I: The Classification of Critical Points,
Caustics and Wave Fronts. Birkhäuser.
1988: (with S. M. Gusein-Zade & A. N. Varchenko) Singularities of
Differentiable Maps, Volume II: Monodromy and Asymptotics of
Integrals. Monographs in Mathematics. Birkhäuser.
1988: Geometrical Methods In The Theory Of Ordinary Differential
Equations, Springer-Verlag ISBN 0-387-96649-8.
1978; Ordinary Differential Equations, The MIT Press
1989: (with A. Avez) Ergodic Problems of Classical Mechanics,
Addison-Wesley ISBN 0-201-09406-1.
1990: Huygens and Barrow, Newton and Hooke: Pioneers in mathematical
analysis and catastrophe theory from evolvents to quasicrystals, Eric
J.F. Primrose translator,
Birkhäuser Verlag (1990)
1995:Topological Invariants of Plane Curves and Caustics, American
Mathematical Society (1994) ISBN 978-0-8218-0308-0
1999: (with Valentin Afraimovich) Bifurcation Theory And Catastrophe
Theory Springer ISBN 3-540-65379-1
1998: "On the teaching of mathematics" (Russian) Uspekhi Mat. Nauk 53
(1998), no. 1(319), 229–234; translation in Russian Math. Surveys
2004: Teoriya Katastrof (Catastrophe Theory, in Russian), 4th ed.
Editorial-URSS (2004), ISBN 5-354-00674-0.
2001: "Tsepniye Drobi" (Continued Fractions, in Russian), Moscow
2007; Yesterday and Long Ago, Springer (2007),
2004: Vladimir I. Arnold (ed.). Arnold's Problems (2nd ed.).
Springer-Verlag. ISBN 3-540-20748-1.
2014: V. I. Arnold (2014). Mathematical Understanding of Nature:
Essays on Amazing Physical Phenomena and Their Understanding by
Mathematicians. American Mathematical Society.
Real Algebraic Geometry.
Lectures on Partial Differential Equations.
2015: Experimental Mathematics. American Mathematical Society
(translated from Russian, 2015).
2015: Lectures and Problems: A Gift to Young Mathematicians, American
Math Society, (translated from Russian, 2015)
Arnolʹd, Vladimir Igorevich (1991). The Theory of Singularities and
Its Applications. Cambridge University Press.
2009: A. B. Givental; B. A. Khesin; J. E. Marsden; A. N. Varchenko; V.
A. Vassilev; O. Ya. Viro; V. M. Zakalyukin (editors). Collected Works,
Volume I: Representations of Functions, Celestial Mechanics, and KAM
Theory (1957–1965). Springer
2013: A. B. Givental; B. A. Khesin; A. N. Varchenko; V. A. Vassilev;
O. Ya. Viro; (editors). Collected Works, Volume II: Hydrodynamics,
Bifurcation Theory, and Algebraic
Geometry (1965–1972). Springer.
List of things named after Vladimir Arnold
Independent University of Moscow
^ a b c Khesin, Boris; Tabachnikov, Sergei (2017). "Vladimir Igorevich
Arnold. 12 June 1937 — 3 June 2010". Biographical Memoirs of Fellows
of the Royal Society. doi:10.1098/rsbm.2017.0016.
^ a b
Vladimir Arnold at the
Mathematics Genealogy Project
^ Mort d'un grand mathématicien russe, AFP (Le Figaro)
^ a b Gusein-Zade, S. M.; Varchenko, A. N. . "Obituary: Vladimir
Arnold (12 June 1937–3 June 2010)", Newsletter of the European
Mathematical Society, Issue 78 (December 2010), pp. 28–29.
^ a b O'Connor, John J.; Robertson, Edmund F., "Vladimir Arnold",
MacTutor History of
Mathematics archive, University of St
^ Bartocci, Claudio; Betti, Renato; Guerraggio, Angelo; Lucchetti,
Roberto; Williams, Kim (2010). Mathematical Lives: Protagonists of the
Twentieth Century From Hilbert to Wiles. Springer. p. 211.
^ Табачников, С. Л. . "Интервью с
В.И.Арнольдом", Квант, 1990, Nº 7, pp. 2–7. (in
^ Daniel Robertz (13 October 2014). Formal Algorithmic Elimination for
PDEs. Springer. p. 192. ISBN 978-3-319-11445-3.
Great Russian Encyclopedia
Great Russian Encyclopedia (2005), Moscow: Bol'shaya Rossiyskaya
Enciklopediya Publisher, vol. 2.
^ Arnold: Yesterday and Long Ago (2010)
^ Polterovich and Scherbak (2011)
^ List of Russian Scientists with High Citation Index
^ "Vladimir Arnold". The Daily Telegraph. London. 12 July 2010.
^ Kenneth Chang (June 11, 2010). "
Vladimir Arnold Dies at 72;
Pioneering Mathematician". The New York Times. Retrieved 12 June
^ "Number's up as top mathematician
Vladimir Arnold dies". Herald Sun.
4 June 2010. Retrieved 2010-06-06.
^ "From V. I. Arnold's web page". Retrieved 12 June 2013.
^ "Condolences to the family of Vladimir Arnold". Presidential Press
and Information Office. 15 June 2010. Retrieved 1 September
^ Carmen Chicone (2007), Book review of "Ordinary Differential
Equations", by Vladimir I. Arnold. Springer-Verlag, Berlin, 2006. SIAM
Review 49(2):335–336. (Chicone mentions the criticism but does not
agree with it.)
^ See  and other essays in .
^ a b An Interview with Vladimir Arnol'd, by S. H. Lui, AMS Notices,
^ Oleg Karpenkov. "Vladimir Igorevich Arnold"
^ B. Khesin and S. Tabachnikov, Tribute to Vladimir Arnold, Notices of
the AMS, 59:3 (2012) 378–399.
^ Goryunov, V.; Zakalyukin, V. (2011), "Vladimir I. Arnold", Moscow
Mathematical Journal, 11 (3) .
^ See for example: Arnold, V. I.; Vasilev, V. A. (1989), "Newton's
Principia read 300 years later" and Arnold, V. I. (2006); "Forgotten
and neglected theories of Poincaré".
^ Szpiro, George G. (2008-07-29). Poincare's Prize: The Hundred-Year
Quest to Solve One of Math's Greatest Puzzles. Penguin.
^ "Archived copy" (PDF). Archived from the original (PDF) on
2015-07-14. Retrieved 2015-02-22.
^ Note: It also appears in another article by him, but in English:
Local Normal Forms of Functions,
^ Dirk Siersma; Charles Wall; V. Zakalyukin (30 June 2001). New
Developments in Singularity Theory. Springer Science & Business
Media. p. 29. ISBN 978-0-7923-6996-7.
Terence Tao (22 March 2013). Compactness and Contradiction. American
Mathematical Soc. pp. 205–206.
^ IAMP News Bulletin, July 2010, pp. 25–26
^ Note: The paper also appears with other names, as in
^ A. G. Khovanskii; Aleksandr Nikolaevich Varchenko; V. A. Vasiliev
(1997). Topics in Singularity Theory: V. I. Arnold's 60th Anniversary
Collection (preface). American Mathematical Soc. p. 10.
^ Arnold: Swimming Against the Tide. p. 159.
^ "Arnold and Symplectic Geometry", by Helmut Hofer
^ "Vladimir Igorevich Arnold and the invention of symplectic
topology", by Michèle Audin
Topology in Arnold's work", by Victor Vassiliev
Bulletin (New Series) of The American Mathematical Society Volume 45,
Number 2, April 2008, pp. 329–334
^ Mackenzie, Dana (2010-12-29). What's Happening in the Mathematical
Sciences. American Mathematical Soc. p. 104.
^ O. Karpenkov, "Vladimir Igorevich Arnold", Internat. Math.
Nachrichten, no. 214, pp. 49–57, 2010. (link to arXiv preprint)
^ Harold M. Schmeck Jr. (June 27, 1982). "American and Russian Share
Prize in Mathematics". New York Times.
^ "Book of Members, 1780-2010: Chapter A" (PDF). American Academy of
Arts and Sciences. Retrieved 25 April 2011.
^ D. B. Anosov, A. A. Bolibrukh, Lyudvig D. Faddeev, A. A. Gonchar, M.
L. Gromov, S. M. Gusein-Zade, Yu. S. Il'yashenko, B. A. Khesin, A. G.
Khovanskii, M. L. Kontsevich, V. V. Kozlov, Yu. I. Manin, A. I.
Neishtadt, S. P. Novikov, Yu. S. Osipov, M. B. Sevryuk, Yakov G.
Sinai, A. N. Tyurin, A. N. Varchenko, V. A. Vasil'ev, V. M. Vershik
and V. M. Zakalyukin (1997) . "Vladimir Igorevich Arnol'd (on his
sixtieth birthday)". Russian Mathematical Surveys, Volume 52, Number
5. (translated from the Russian by R. F. Wheeler)
^ American Physical Society – 2001 Dannie Heineman Prize for
Mathematical Physics Recipient
^ The Wolf Foundation – Vladimir I. Arnold Winner of
Wolf Prize in
^ Названы лауреаты Государственной
Kommersant 20 May 2008.
^ Lutz D. Schmadel. Dictionary of Minor Planet Names. Springer Science
& Business Media. p. 717. ISBN 978-3-642-29718-2.
^ Editorial (2015), "Journal Description Arnold Mathematical Journal",
Arnold Mathematical Journal, 1 (1): 1–3,
^ Martin L. White (2015). "Vladimir Igorevich Arnold". Encyclopædia
^ Thomas H. Maugh II (June 23, 2010). "Vladimir Arnold, noted Russian
mathematician, dies at 72". The Washington Post. Retrieved March 18,
^ Review by Ian N. Sneddon (Bulletin of the American Mathematical
Society, Vol. 2):
^ Review by R. Broucke (Celestial Mechanics, Vol. 28):
^ Kazarinoff, N. (1991-09-01). "Huygens and Barrow, Newton and Hooke:
Pioneers in Mathematical Analysis and Catastrophe Theory from
Evolvents to Quasicrystals (V. I. Arnol'd)". SIAM Review. 33 (3):
493–495. doi:10.1137/1033119. ISSN 0036-1445.
^ Thiele, R. (1993-01-01). "Arnol'd, V. I., Huygens and Barrow, Newton
and Hooke. Pioneers in Mathematical Analysis and Catastrophe Theory
from Evolvents to Quasicrystals. Basel etc.,
Birkhäuser Verlag 1990.
118 pp., sfr 24.00. ISBN 3-7643-2383-3". Journal of Applied
Mathematics and Mechanics. 73 (1): 34–34.
^ Heggie, Douglas C. (1991-06-01). "V. I. Arnol'd, Huygens and Barrow,
Newton and Hooke, translated by E. J. F. Primrose (Birkhäuser Verlag,
Basel 1990), 118 pp., 3 7643 2383 3, sFr 24." Proceedings of the
Edinburgh Mathematical Society (Series 2). 34 (02): 335–336.
doi:10.1017/S0013091500007240. ISSN 1464-3839.
^ Goryunov, V. V. (1996-10-01). "V. I. Arnold Topological invariants
of plane curves and caustics (University Lecture Series, Vol. 5,
American Mathematical Society, Providence, RI, 1995), 60pp.,
paperback, 0 8218 0308 5, £17.50." Proceedings of the Edinburgh
Mathematical Society (Series 2). 39 (03): 590–591.
doi:10.1017/S0013091500023348. ISSN 1464-3839.
^ Bernfeld, Stephen R. (1985-01-01). "Review of Catastrophe Theory".
SIAM Review. 27 (1): 90–91. doi:10.1137/1027019.
Khesin, Boris; Tabachnikov, Serge (Coordinating Editors). "Tribute to
Vladimir Arnold", Notices of the American Mathematical Society, March
2012, Volume 59, Number 3, pp. 378–399.
Khesin, Boris; Tabachnikov, Serge (Coordinating Editors). "Memories of
Vladimir Arnold", Notices of the American Mathematical Society, April
2012, Volume 59, Number 4, pp. 482–502.
Boris A. Khesin; Serge L. Tabachnikov (2014). Arnold: Swimming Against
the Tide. American Mathematical Society.
Leonid Polterovich; Inna Scherbak (7 September 2011). "V.I. Arnold
(1937–2010)". Jahresbericht der Deutschen Mathematiker-Vereinigung.
113 (4): 185–219. doi:10.1365/s13291-011-0027-6.
"Features: "Knotted Vortex Lines and Vortex Tubes in Stationary Fluid
Flows"; "On Delusive Nodal Sets of Free Oscillations"" (PDF). EMS
Newsletter (96): 26–48. June 2015. ISSN 1027-488X.
Wikimedia Commons has media related to Vladimir Arnold.
Wikiquote has quotations related to: Vladimir Arnold
V. I. Arnold's web page
Personal web page
V. I. Arnold lecturing on Continued Fractions
A short curriculum vitae
On Teaching Mathematics, text of a talk espousing Arnold's opinions on
Problems from 5 to 15, a text by Arnold for school students, available
at the IMAGINARY platform
Vladimir Arnold at the
Mathematics Genealogy Project
S. Kutateladze, Arnold Is Gone
В.Б.Демидовичем (2009), МЕХМАТЯНЕ
ВСПОМИНАЮТ 2: В.И.Арнольд, pp. 25–58
Author profile in the database zbMATH
Laureates of the
Wolf Prize in Mathematics
Israel Gelfand / Carl L. Siegel (1978)
Jean Leray /
André Weil (1979)
Henri Cartan /
Andrey Kolmogorov (1980)
Lars Ahlfors /
Oscar Zariski (1981)
Hassler Whitney /
Mark Krein (1982)
Shiing-Shen Chern /
Paul Erdős (1983/84)
Kunihiko Kodaira /
Hans Lewy (1984/85)
Samuel Eilenberg /
Atle Selberg (1986)
Kiyosi Itô /
Peter Lax (1987)
Friedrich Hirzebruch /
Lars Hörmander (1988)
Alberto Calderón /
John Milnor (1989)
Ennio de Giorgi /
Ilya Piatetski-Shapiro (1990)
Lennart Carleson /
John G. Thompson
John G. Thompson (1992)
Mikhail Gromov /
Jacques Tits (1993)
Jürgen Moser (1994/95)
Robert Langlands /
Andrew Wiles (1995/96)
Joseph Keller / Yakov G. Sinai (1996/97)
László Lovász /
Elias M. Stein
Elias M. Stein (1999)
Raoul Bott /
Jean-Pierre Serre (2000)
Vladimir Arnold /
Saharon Shelah (2001)
Mikio Sato /
John Tate (2002/03)
Grigory Margulis / Sergei Novikov (2005)
Stephen Smale /
Hillel Furstenberg (2006/07)
Pierre Deligne / Phillip A. Griffiths / David B. Mumford (2008)
Dennis Sullivan /
Shing-Tung Yau (2010)
Michael Aschbacher /
Luis Caffarelli (2012)
George Mostow /
Michael Artin (2013)
Peter Sarnak (2014)
James G. Arthur (2015)
Richard Schoen /
Charles Fefferman (2017)
Alexander Beilinson /
Vladimir Drinfeld (2018)
Shaw Prize laureates
Jim Peebles (2004)
Geoffrey Marcy and
Michel Mayor (2005)
Adam Riess and
Brian Schmidt (2006)
Peter Goldreich (2007)
Reinhard Genzel (2008)
Frank Shu (2009)
Lyman Page and
David Spergel (2010)
Enrico Costa and Gerald Fishman (2011)
David Jewitt and
Jane Luu (2012)
Steven Balbus and John Hawley (2013)
Shaun Cole and John Peacock (2014)
William Borucki (2015)
Kip Thorne and
Rainer Weiss (2016)
Simon White (2017)
Stanley Norman Cohen, Herbert Boyer, Kan Yuet-wai and Richard Doll
Michael Berridge (2005)
Xiaodong Wang (2006)
Robert Lefkowitz (2007)
Ian Wilmut, Keith Campbell and
Shinya Yamanaka (2008)
Douglas Coleman and Jeffrey Friedman (2009)
David Julius (2010)
Ruslan Medzhitov and
Bruce Beutler (2011)
Franz-Ulrich Hartl and Arthur Horwich (2012)
Michael Rosbash and Michael Young (2013)
Kazutoshi Mori and
Peter Walter (2014)
Bonnie Bassler and
Everett Peter Greenberg (2015)
Adrian Bird and
Huda Zoghbi (2016)
Ian R. Gibbons
Ian R. Gibbons and
Ronald Vale (2017)
Shiing-Shen Chern (2004)
Andrew Wiles (2005)
David Mumford and
Wu Wenjun (2006)
Robert Langlands and Richard Taylor (2007)
Vladimir Arnold and
Ludvig Faddeev (2008)
Simon Donaldson and
Clifford Taubes (2009)
Jean Bourgain (2010)
Demetrios Christodoulou and
Richard S. Hamilton
Richard S. Hamilton (2011)
Maxim Kontsevich (2012)
David Donoho (2013)
George Lusztig (2014)
Gerd Faltings and
Henryk Iwaniec (2015)
Nigel Hitchin (2016)
János Kollár and
Claire Voisin (2017)
ISNI: 0000 0001 0898 3070
BNF: cb11889174b (data)