User talk:Rezameyqani
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Fields Medal
More information Year, ICM Location ...
| Year | ICM Location | Medalists[1] | Affiliation (When Awarded) | Birthplace | Current/Last Affiliation | Citation |
|---|---|---|---|---|---|---|
| 1936 | Oslo, Norway | Lars Ahlfors | University of Helsinki, Finland | Finland | Harvard University, US[2][3] | "Awarded medal for research on covering surfaces related to Riemann surfaces of inverse functions of entire and meromorphic functions. Opened up a new fileds of analysis." |
| Jesse Douglas | Massachusetts Institute of Technology, US | United States | City College of New York, US[4][5] | "Did important work of the Plateau problem which is concerned with finding minimal surfaces connecting and determined by some fixed boundary." | ||
| 1950 | Cambridge, US | Laurent Schwartz | University of Nancy, France | France | University of Paris VII, France[6][7] | "Developed the theory of distributions, a new notion of generalized function motivated by the Dirac delta-function of theoretical physics." |
| Atle Selberg | Institute for Advanced Study, US | Norway | Institute for Advanced Study, US[8] | "Developed generalizations of the sieve methods of Viggo Brun; achieved major results on zeros of the Riemann zeta function; gave an elementary proof of the prime number theorem (with P. Erdös), with a generalization to prime numbers in an arbitrary arithmetic progression." | ||
| 1954 | Amsterdam, Netherland | Kunihiko Kodaira | Institute for Advanced Study, US | Japan | University of Tokyo, Japan[9] | "Achieved major results in the theory of harmonic integrals and numerous applications to Kählerian and more specifically to algebraic varieties. He demonstrated, by sheaf cohomology, that such varieties are Hodge manifolds." |
| Jean-Pierre Serre | University of Nancy, France | France | Collège de France, France[10][11] | "Achieved major results on the homotopy groups of spheres, especially in his use of the method of spectral sequences. Reformulated and exented some of the main results of complex variable theory in terms of sheaves." | ||
| 1958 | Edinburgh, UK | Klaus Roth | University College London, UK | Weimar Republic | Imperial College London, UK[12] | "Solved in 1955 the famous Thue-Siegel problem concerning the approximation to algebraic numbers by rational numbers and proved in 1952 that a sequence with no three numbers in arithmetic progression has zero density (a conjecture of Erdös and Turán of 1935)." |
| René Thom | University of Strasbourg, France | France | Institut des Hautes Études Scientifiques, France[13] | "In 1954 invented and developed the theory of cobordism in algebraic topology. This classification of manifolds used homotopy theory in a fundamental way and became a prime example of a general cohomology theory." | ||
| 1962 | Stockholm, Sweden | Lars Hörmander | University of Stockholm, Sweden | Sweden | Lund University, Sweden[14] | "Worked in partial diffential equations. Specifically, contributed to the general theory of linear differential operators. The questions go back to one of Hilbert's problems at the 1900 congress." |
| John Milnor | Princeton University, US | United States | Stony Brook University, US[15] | "Proved that a 7-dimensional sphere can have several differential structures; this led to the creation of the field of differential topology." | ||
| 1966 | Moscow, USSR | Michael Atiyah | University of Oxford, UK | United Kingdom | University of Edinburgh, UK[16] | "Did joint work with Hirzebruch in K-theory; proved jointly with Singer the index theorem of elliptic operators on complex manifolds; worked in collaboration with Bott to prove a fixed point theorem related to the "Lefschetz formula"." |
| Paul Joseph Cohen | Stanford University, US | United States | Stanford University, US[17] | "Used technique called "forcing" to prove the independence in set theory of the axiom of choice and of the generalized continuum hypothesis. The latter problem was the first of Hilbert's problems of the 1900 Congress." | ||
| Alexander Grothendieck | Institut des Hautes Études Scientifiques, France | Weimar Republic | Centre National de la Recherche Scientifique , France[18] | "Built on work of Weil and Zariski and effected fundamental advances in algebraic geometry. He introduced the idea of K-theory (the Grothendieck groups and rings). Revolutionized homological algebra in his celebrated "Tohoku paper"" | ||
| Stephen Smale | University of California, Berkeley, US | United States | City University of Hong Kong, Hong Kong[19] | "Worked in differential topology where he proved the generalized Poincaré conjecture in dimension n>=5: Every closed, n-dimensional manifold homotopy-equivalent to the n-dimensional sphere is homeomorphic to it. Introduced the method of handle-bodies to solve this and related problems." | ||
| 1970 | Nice, France | Alan Baker | University of Cambridge, UK | United Kingdom | Trinity College, Cambridge, UK[20] | "Generalized the Gelfond-Schneider theorem (the solution to Hilbert's seventh problem). From this work he generated transcendental numbers not previously identified." |
| Heisuke Hironaka | Harvard University, US | Japan | Kyoto University, Japan[21][22] | "Generalized work of Zariski who had proved for dimension" | ||
| John G. Thompson | University of Cambridge, UK | United States | University of Cambridge, UK [23] | "Proved jointly with W. Feit that all non-cyclic finite simple groups have even order. The extension of this work by Thompson determined the minimal simple finite groups, that is, the simple finite groups whose proper subgroups are solvable." | ||
| Sergei Novikov | Moscow State University, USSR | USSR | Steklov Mathematical Institute, Russia
Moscow State University, Russia |
"Made important advances in topology, the most well-known being his proof of the topological invariance of the Pontrjagin classes of the differentiable manifold. His work included a study of the cohomology and homotopy of Thom spaces." | ||
| 1974 | Vancouver, Canada | Enrico Bombieri | University of Pisa, Italy | Italy | Institute for Advanced Study, US[26] | "Major contributions in the primes, in univalent functions and the local Bieberbach conjecture, in theory of functions of several complex variables, and in theory of partial differential equations and minimal surfaces - in particular, to the solution of Bernstein's problem in higher dimensions." |
| David Mumford | Harvard University, US | United States | Brown University, US[27] | "Contributed to problems of the existence and structure of varieties of moduli, varieties whose points parametrize isomorphism classes of some type of geometric object. Also made several important contributions to the theory of algebraic surfaces." | ||
| 1978 | Helsinki, Finland | Pierre Deligne | Institut des Hautes Études Scientifiques, France | Belgium | Institute for Advanced Study, US[28] | "Gave solution of the three Weil conjectures concerning generalizations of the Riemann hypothesis to finite fields. His work did much to unify algebraic geometry and algebraic number theory." |
| Charles Fefferman | Princeton University, US | United States | Princeton University, US[29] | "Contributed several innovations that revised the study of multidimensional complex analysis by finding correct generalizations of classical (low-dimensional) results." | ||
| Daniel Quillen | Massachusetts Institute of Technology, US | United States | University of Oxford, UK[30] | "The prime architect of the higher algebraic K-theory, a new tool that successfully employed geometric and topological methods and ideas to formulate and solve major problems in algebra, particularly ring theory and module theory." | ||
| Grigori Margulis | Princeton University, US | USSR | Yale University, US[31] | "Provided innovative analysis of the structure of Lie groups. His work belongs to combinatorics, differential geometry, ergodic theory, dynamical systems, and Lie groups." | ||
| 1982 | Warsaw, Poland | Alain Connes | Institut des Hautes Études Scientifiques, France | France | Institut des Hautes Études Scientifiques, France
Collège de France, France |
"Contributed to the theory of operator algebras, particularly the general classification and structure theorem of factors of type III, classification of automorphisms of the hyperfinite factor, classification of injective factors, and applications of the theory of C*-algebras to foliations and differential geometry in general." |
| William Thurston | Princeton University, US | United States | Cornell University, US[33] | "Revolutionized study of topology in 2 and 3 dimensions, showing interplay between analysis, topology, and geometry. Contributed idea that a very large class of closed 3-manifolds carry a hyperbolic structure." | ||
| Shing-Tung Yau | Institute for Advanced Study, US | China | Harvard University, US[34] | "Made contributions in differential equations, also to the Calabi conjecture in algebraic geometry, to the positive mass conjecture of general relativity theory, and to real and complex Monge-Ampère equations." | ||
| 1986 | Berkeley, US | Simon Donaldson | University of Oxford, UK | United Kingdom | Imperial College London, UK[35] | "Received medal primarily for his work on topology of four-manifolds, especially for showing that there is a differential structure on euclidian four-space which is different from the usual structure." |
| Gerd Faltings | Princeton University, US | West Germany | Max Planck Institute for Mathematics, Germany[36] | "Using methods of arithmetic algebraic geometry, he received medal primarily for his proof of the Mordell Conjecture." | ||
| Michael Freedman | University of California, San Diego, US | United States | Microsoft Station Q, US[37] | "Developed new methods for topological analysis of four-manifolds. One of his results is a proof of the four-dimensional Poincaré Conjecture." | ||
| 1990 | Kyoto, Japan | Vladimir Drinfeld | University of Kharkiv, USSR | USSR | University of Chicago, US[38] | "For his work on quantum groups and for his work in number theory." |
| Vaughan F. R. Jones | University of California, Berkeley, US | New Zealand | University of California, Berkeley, US[39], | "for his discovery of an unexpected link between the mathematical study of knots – a field that dates back to the 19th century – and statistical mechanics, a form of mathematics used to study complex systems with large numbers of components." | ||
| Shigefumi Mori | Kyoto University, Japan | Japan | Kyoto University, Japan[41] | "for the proof of Hartshorne’s conjecture and his work on the classification of three-dimensional algebraic varieties." | ||
| Edward Witten | Institute for Advanced Study, US | United States | Institute for Advanced Study, US[42] | "... his ability to interpret physical ideas in mathematical form is quite unique."[43] | ||
| 1994 | Zurich, Switzerland | Jean Bourgain | Institut des Hautes Études Scientifiques, France | Belgium | Institute for Advanced Study, France[44] | "Bourgain's work touches on several central topics of mathematical analysis: the geometry of Banach spaces, convexity in high dimensions, harmonic analysis, ergodic theory, and finally, nonlinear partial differential equations from mathematical physics." |
| Pierre-Louis Lions | Paris Dauphine University, France | France | Collège de France, France
École polytechnique, France[45] |
"... such nonlinear partial differential equation simply do not have smooth or even C1 solutions existing after short times. ... The only option is therefore to search for some kind of "weak" solution. This undertaking is in effect to figure out how to allow for certain kinds of "physically correct" singularities and how to forbid others. ... Lions and Crandall at last broke open the problem by focusing attention on viscosity solutions, which are defined in terms of certain inequalities holding wherever the graph of the solution is touched on one side or the other by a smooth test function." | ||
| Jean-Christophe Yoccoz | Paris-Sud 11 University, France | France | Collège de France, France[46] | "proving stability properties - dynamic stability, such as that sought for the solar system, or structural stability, meaning persistence under parameter changes of the global properties of the system." | ||
| Efim Zelmanov | University of California, San Diego, US | USSR | Steklov Mathematical Institute, Russia, | "For his solution to the restricted Burnside problem." | ||
| 1998 | Berlin, Germany | Richard Borcherds | University of California, Berkeley, US | South Africa | University of California, Berkeley, US[48] | "for his work on the introduction of vertex algebras, the proof of the Moonshine conjecture and for his discovery of a new class of automorphic infinite products" |
| Timothy Gowers | University of Cambridge, UK | United Kingdom | University of Cambridge, UK[49] | "William Timothy Gowers has provided important contributions to functional analysis, making extensive use of methods from combination theory. These two fields apparently have little to do with each other, and a significant achievement of Gowers has been to combine these fruitfully." | ||
| Maxim Kontsevich | Institut des Hautes Études Scientifiques, France | USSR | Institut des Hautes Études Scientifiques, France | "contributions to four problems of geometry" | ||
| Curtis T. McMullen | Harvard University, US | United States | Harvard University, US[51] | "He has made important contributions to various branches of the theory of dynamical systems, such as the algorithmic study of polynomial equations, the study of the distribution of the points of a lattice of a Lie group, hyperbolic geometry, holomorphic dynamics and the renormalization of maps of the interval." | ||
| 2002 | Beijing, China | Laurent Lafforgue | Institut des Hautes Études Scientifiques, France | France | Institut des Hautes Études Scientifiques, France[52] | "Laurent Lafforgue has been awarded the Fields Medal for his proof of the Langlands correspondence for the full linear groups
GLr (r≥1 ) over function fields." |
| Vladimir Voevodsky | Institute for Advanced Study, US | USSR | Institute for Advanced Study, US[53] | " he defined and developed motivic cohomology and the
A1-homotopy theory of algebraic varieties; he proved the Milnor conjectures on the K-theory of fields" | ||
| 2006 | Madrid, Spain | Andrei Okounkov | Princeton University, US | USSR | Columbia University, US[54] | "for his contributions bridging probability,
representation theory and algebraic geometry" |
| Grigori Perelman | None | USSR | Steklov Mathematical Institute, Russia[55] | "for his contributions to geometry and his revolutionary insights into the analytical and geometric structure of the Ricci flow" | ||
| Terence Tao | University of California, Los Angeles, US | Australia | University of California, Los Angeles, US[56] | "for his contributions to partial differential equations, combinatorics, harmonic analysis and additive number theory " | ||
| Wendelin Werner | Paris-Sud 11 University, France | West Germany | ETH Zurich, Switzerland[57] | "for his contributions to the development of stochastic Loewner evolution, the geometry of two-dimensional Brownian motion, and conformal field theory" | ||
| 2010 | Hyderabad, India | Elon Lindenstrauss | Hebrew University of Jerusalem, Israel | Israel | Hebrew University of Jerusalem, Israel[58] | "For his results on measure rigidity in ergodic theory, and their applications to number theory." |
| Ngô Bảo Châu | Paris-Sud 11 University, France | North Vietnam | Paris-Sud 11 University, France
Vietnam Institute for Advanced Study, Vietnam[59] |
"For his proof of the Fundamental Lemma in the theory of automorphic forms through the introduction of new algebro-geometric methods" | ||
| Stanislav Smirnov | University of Geneva, Switzerland | USSR | University of Geneva, Switzerland[60] | "For the proof of conformal invariance of percolation and the planar Ising model in statistical physics" | ||
| Cédric Villani | École Normale Supérieure de Lyon, France
Institut Henri Poincaré, France |
France | Lyon University, France
Institut Henri Poincaré, France[61] |
"For his proofs of nonlinear Landau damping and convergence to equilibrium for the Boltzmann equation." | ||
| 2014 | Seoul, South Korea | Artur Avila | Paris Diderot University, France
CNRS, France |
Brazil | Paris Diderot University, France
CNRS, France Instituto Nacional de Matemática Pura e Aplicada, Brazil[62] |
"is awarded a Fields Medal for his profound contributions to dynamical systems theory, which have changed the face of the field, using the powerful idea of renormalization as a unifying principle." |
| Manjul Bhargava | Princeton University, US | Canada | Princeton University, US[63][64] | "is awarded a Fields Medal for developing powerful new methods in the geometry of numbers, which he applied to count rings of small rank and to bound the average rank of elliptic curves." | ||
| Martin Hairer | University of Warwick, UK | Austria | University of Warwick, UK[65][66][67] | "is awarded a Fields Medal for his outstanding contributions to the theory of stochastic partial differential equations, and in particular for the creation of a theory of regularity structures for such equations." | ||
| Maryam Mirzakhani | Stanford University, US | Iran | Stanford University, US[68][69] | "is awarded the Fields Medal for her outstanding contributions to the dynamics and geometry of Riemann surfaces and their moduli spaces." | ||
| 2018 | Rio de Janeiro, Brazil[70] | n/a | n/a | n/a | n/a | n/a |
Close
- "List of Fields Medallists". International Mathematical Union (IMU). 8 May 2008. Retrieved 25 March 2009.
- "Lars Ahlfors (1907-1996)". Harvard University, Dept. of Math. 7 November 2004. Retrieved 19 August 2014.
- "Jesse Douglas". Encyclopedia Britannica. 28 May 2010. Retrieved 19 August 2014.
- "Laurent Moise Schwartz". School of Mathematics and Statistics University of St Andrews, Scotland. 24 June 2007. Retrieved 19 August 2014.
- Schwartz, Laurent (1 Feb 2001). Un mathématicien aux prises avec le siècle. AMS: Birkhäuser. ISBN 978-3-0348-7584-4. Retrieved 21 August 2014.
{{cite book}}: Unknown parameter|trans_title=ignored (|trans-title=suggested) (help) - "Jean-Pierre Serre". Encyclopedia Britannica. 5 Feb 1997. Retrieved 19 August 2014.
- Mckinnon Riehm, Elaine; Hoffman, Frances (3 November 2011). Turbulent Times in Mathematics: The Life of J.C. Fields and the History of the Fields Medal. American Math Society: American Mathematical Society. p. 212. ISBN 978-0821869147. Retrieved 16 August 2014.
- "John W. Milnor". Stony Brook University. 5 March 1997. Retrieved 17 August 2014.
- "Prof. Stephen SMALE (史梅爾)". City University of Hong Kong. 5 April 2012. Retrieved 18 August 2014.
- "The Laureates". Heidelberg Laureate Forum Foundation (HLFF). 25 September 2013. Retrieved 16 August 2014.
- "No title". Research Institute for Mathematical Sciences,Kyoto,Japan. 26 May 2007. Retrieved 16 August 2014.
- "Novikov, Sergei Petrovich". Russian Academy of Science. 1 January 2012. Retrieved 20 August 2014.
- BARTOCCI, CLAUDIO; Betti, Renato; Guerraggio, Angelo; Lucchetti, Roberto Lucchetti, eds. (2011 pages=2013-2014). Vite Mathematiche (2011 ed.). Springer. ISBN 978-3642136054. Retrieved 18 August 2014.
{{cite book}}: Check date values in:|publication-date=(help); Missing pipe in:|publication-date=(help); Unknown parameter|trans_title=ignored (|trans-title=suggested) (help) - "David Mumford=12 May 2006". The Division of Applied Mathematics, Brown University. Retrieved 18 August 2014.
{{cite web}}: Cite has empty unknown parameter:|1=(help) - "Alain Connes". 25 May 2012. Retrieved 18 August 2014.
- "William P. Thurston, 1946-2012". 30 August 2012. Retrieved 18 August 2014.
- "Simon Donaldson (Royal Society Research Professor)". Department of Mathematics, Imperial College, Queen's Gate, London. 16 January 2008. Retrieved 16 August 2014.
- "The Laureates". Heidelberg Laureate Forum Foundation (HLFF). 6 October 2013. Retrieved 16 August 2014.
- "Vladimir Gershonovich Drinfeld". School of Mathematics and Statistics, University of St Andrews, Scotland. 18 August 2009. Retrieved 16 August 2014.
- "Curriculum Vitae: Vaughan F. R. Jones". University of California, Berkeley. 10 November 2001. Retrieved 16 August 2014.
- Salisbury, David (6 April 2011). "Fields Medalist joins Vanderbilt faculty". Vanderbilt University. Retrieved 17 May 2011.
- "The Laureates". Heidelberg Laureate Forum Foundation (HLFF). 10 April 2014. Retrieved 16 August 2014.
- "Collège de France". 16 December 2013. Retrieved 18 August 2014.
- "Collège de France". 16 December 2013. Retrieved 18 August 2014.
- "The Laureates". Heidelberg Laureate Forum Foundation (HLFF). 10 April 2014. Retrieved 16 August 2014.
- "William Timothy Gowers". Encyclopedia Britannica. 28 March 2009. Retrieved 16 August 2014.
- "CURRICULUM VITAE". ihes. 22 November 2009. Retrieved 16 August 2014.
- "Curriculum Vitae". ihes. 6 December 2005. Retrieved 19 August 2014.
- "Department of Mathematics". University of Columbia, Department of Mathematics. 20 December 2012. Retrieved 19 August 2014.
- "Encylopedia Britannica". Encylopedia Britannica. 28 May 2008. Retrieved 19 August 2014.
- "Vitae and Bibliography for Terence Tao". UCLA Dept. of Math. 16 March 2010. Retrieved 19 August 2014.
- "Wendelin WERNER". ETH Zurich. 18 September 2013. Retrieved 19 August 2014.
- "Nobel at HU". The Hebrew University of Jerusalem. 5 July 2011. Retrieved 16 August 2014.
- "Department of Mathematics". Stanford University. 22 January 2009. Retrieved 19 August 2014.
- "Fazendo as contas para o futuro — Ciência Hoje" (in (in Portuguese)). Cienciahoje.uol.com.br. 2014-02-25. Retrieved 2014-08-14.
{{cite web}}: CS1 maint: unrecognized language (link)
Fields Medal questions
You can remove this notice at any time by removing the {{Talkback}} or {{Tb}} template.
skin'. Cheers, -- Larry.europe (talk) 10:35, 21 August 2014 (UTC)
A barnstar for you!
 |
The Resilient Barnstar |
| I appreciate your work at Fields Medal, and your willingness to come back after a setback and work with other editors. There are lots of excellent editors (many of them admins) who got drawn into an edit war and were blocked, particularly as new users. It's easy to do, and it's not a mark of shame. Your perseverance and civil actions are a good example. Acroterion (talk) 01:49, 22 August 2014 (UTC) |
Fields Medals by Affiliation
Upon appointment, the Fields medalists were working in the following institutions:
More information Affiliation, Medal(s) ...
Close
B Verkin Institute for Low Temperature Physics and Engineering
I checked to see if I could fix the red link for the Institute for Low Temperature Physics and Engineering. It turns out there are five articles across EnWikipedia trying to link to it, and all five try to link to it under slightly different names. I must have been hit by a moment of insanity but for some reason I'm in the middle of trying to fix this. We don't have an article for it but I did find one on the Russian Wikipedia. So... ummm... I'm seeing if I can pull it over using Google-translate. Alsee (talk) 05:19, 5 September 2014 (UTC)
- @Alsee Keep up the good work! In my opinion, you can link the Russian version until you or anyone else can translate and build a reliable page for this Institution. And about your suggestion on removing "Current/Last Affiliation" column of the table, I think it would be inappropriate since many of laureates do not work on the same institution in the time of receiving the medal. I know that table somehow looks ugly, but suppose that a reader who has very little information about the medal, is interested to learn about it. if we just have the "Affiliation (when awarded)" column, it would give him/her misleading info. Do you agree? Cheers Rezameyqani (talk) 05:33, 5 September 2014 (UTC)
- @Rezameyqani Thanks. Don't worry, I'm not touching Last Affiliation. I was just tossing out my thoughts. Birthplace and Nationality columns were actually causing problems, we're better off without them. I'm fine with Last Affiliation... it just seems weak. All the other columns have clear strong value. Alsee (talk) 05:48, 5 September 2014 (UTC)
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