Fields medali sahifasining manbasini koʻrish

{{Mukofot
|nomi = Fields medali
|joriy_mukofotlar = 
|tasvir = FieldsMedalFront.jpg
|tasvir_izohi = Fields mukofoti obversi (oldi)
|soha = [[Matematika]]
|tashkilotchi = [[Xalqaro matematika ittifoqi]]
|mamlakat = Oʻzgarib turadi
|joy = 
|yil = 1936
|yil2 = 2018
|vebsayt = https://www.mathunion.org/imu-awards/fields-medal
}}
'''Fields medali''' ({{talaffuz|Filds}}) ({{lang-en|Fields Medal}}) — 40 yoshga toʻlmagan [[matematik]]larga [[Xalqaro matematika ittifoqi]] tomonidan beriladigan mukofot. Medal toʻrt yilda bir marta [[Xalqaro matematiklar kongressi]]da ikki, uch yoki toʻrt matematikka beriladi. Mukofot ittifoqning Xalqaro kongressida topshiriladi.

Fields medali matematiklarga beriladigan eng yuqori sharaflardan biri hisoblanadi va u „matematiklarning [[Nobel mukofoti]]“ deb taʼriflanadi. Ammo ikki mukofot oʻrtasida bir qancha muhim farqlar mavjud, shu jumladan, mukofotlarning berilish surati, mukofotlar soni va laureatlarga qoʻyiladigan cheklovlar. ARWU tomonidan har yili oʻtkaziladigan akademik mukammallik soʻroviga koʻra, Fields medali butun dunyo boʻylab matematika boʻyicha eng aʼlo mukofot sifatida koʻriladi. 2013-2014-yillarda IREG tomonidan oʻtkazilgan yana bir soʻrovda Fields Medali matematika boʻyicha [[Abel mukofoti]]dan keyingi ikkinchi eng nufuzli xalqaro mukofot deb topildi.

Sovrin 2006-yildan beri 15,000 Kanada dollariga teng boʻlgan pul mukofoti bilan birga beriladi. Mukofot kanadalik matematik [[John Charles Fields]] sharafiga nomlangan. Fields mukofotga asos solishda muhim rol oʻynagan. U hatto Fields medali dizaynini ishlab chiqqan va mukofotni moliyalashtirishga muhim hissa qoʻshgan.

Medal birinchi marta 1936-yilda Finlandiya matematigi [[Lars Ahlfors]] va amerikalik matematik [[Jesse Douglas]]ga berilgan. Sovrin 1950-yildan beri har toʻrt yilda bir marta berilib kelinmoqda. Uning maqsadi fanga katta hissa qoʻshgan yosh matematik tadqiqotchilarni eʼtirof etish va qoʻllab-quvvatlashdir. 2014-yilda eronlik matematik [[Maryam Mirzaxoniy]] Fields mukofoti bilan taqdirlangan birinchi ayol boʻldi. Bugunga qadar umumiy hisobda 60 kishiga Fields medali topshirildi.

== Fields mukofoti sovrindorlari ==
{| class="wikitable sortable" style="margin: 1ex auto 1ex auto"
|-
! Yil
! [[Xalqaro matematiklar kongressi]] boʻlib oʻtgan joy
! Sovrindorlar<ref name=IMU>{{veb manbasi|url=http://www.mathunSwitzerlandion.org/general/prizes/fields/prizewinners|title=The Fields Medalists, chronologically listed|publisher=[[International Mathematical Union]] (IMU)|date=8-may 2008-yil|accessdate=25-mart 2009-yil}}{{Oʻlikhavola|date=oktyabr 2022 |bot=InternetArchiveBot |fix-attempted=yes }}</ref>
! Fuqaroligi<br />(mukofot topshirilganda)
! Ishlagan joyi<br />(mukofot topshirilganda)
! Ishlagan joyi<br />(hozirgi/soʻnggi)
! Sabablari
|-
| rowspan=2| 1936
| rowspan=2| [[Oslo]], Norvegiya

| [[Lars Ahlfors]]
| [[Finlandiya]]
| [[Helsinki universiteti]], Finlandiya
| [[Harvard universiteti]], AQSh<ref>{{veb manbasi|url=http://www.ams.org/notices/199802/comm-krantz.pdf |format=PDF |title=Lars Valerian Ahlfors (1907-1996) |website=Ams.org |accessdate=2017-03-31}}</ref><ref>{{veb manbasi |url=http://www.math.harvard.edu/history/ahlfors/|title=Lars Ahlfors (1907-1996)
|date=7-noyabr 2004-yil|publisher=Harvard University, Dept. of Math.|accessdate=19-avgust 2014-yil}}</ref>
| <ref name="36reasons">{{veb manbasi |url=https://www.mathunion.org/fileadmin/IMU/Prizes/Fields/1936/index.html |title=Fields Medals 1936 |publisher=International Mathematical Union |website=mathunion.org}}</ref>

|-

| [[Jesse Douglas]]
| [[AQSh]]
| [[Massachusetts texnologiya instituti]], AQSh
| [[New York shahar kolleji]], US<ref>{{cite encyclopedia |url=http://www.britannica.com/EBchecked/topic/170174/Jesse-Douglas|title=Jesse Douglas
|date=28-may 2010-yil|encyclopedia=Encyclopædia Britannica|accessdate=19-avgust 2014-yil}}</ref><ref>{{veb manbasi |url=http://wdb.ugr.es/~geometry/seminar/files/talks/MMicallef20130207.pdf |format=PDF |title=The work of Jesse Douglas on Minimal Surfaces |author1=Mario J. Micallef |author2=J. Gray |website=Wdb.ugr.es |accessdate=2017-03-31 |archive-url=https://web.archive.org/web/20141006070205/http://wdb.ugr.es/~geometry/seminar/files/talks/MMicallef20130207.pdf |archive-date=6-oktyabr 2014-yil |dead-url=yes |df=dmy-all }}{{Webarxiv|url=https://web.archive.org/web/20141006070205/http://wdb.ugr.es/~geometry/seminar/files/talks/MMicallef20130207.pdf |date=2014-10-06 }}</ref>
| „Muayyan chegarani bogʻlovchi va shunday chegara orqali belgilanuvchi [[minimal sath]]larni aniqlashga bagʻishlangan [[Plateau masalasi]] boʻyicha muhim ishlarni bajargan“. ({{lang-en|Did important work on the [[:en:Plateau problem|Plateau problem]] which is concerned with finding [[:en:minimal surface|minimal surface]]s connecting and determined by some fixed boundary.}})<ref name="36reasons" />

|-
|rowspan=2| 1950
|rowspan=2| [[Cambridge, Massachusetts|Cambridge]], AQSh

| [[Laurent Schwartz]]
| [[Fransiya]]
| [[Nancy universiteti]], Fransiya
| [[Paris 7 universiteti]], Fransiya<ref>{{veb manbasi |url=http://www-history.mcs.st-and.ac.uk/Biographies/Schwartz.html|title=Laurent Moise Schwartz
|date=24-iyun 2007-yil|publisher=School of Mathematics and Statistics University of St Andrews, Scotland|accessdate=19-avgust 2014-yil}}</ref><ref>{{Kitob manbasi |last=Schwartz |first=Laurent |date=1-Feb 2001-yil |title=Un mathématicien aux prises avec le siècle |trans-title=A Mathematician Grappling with His Century |url=https://www.springer.com/birkhauser/history+of+science/book/978-3-7643-6052-8 |archive-url=https://archive.today/20140821114917/http://www.springer.com/birkhauser/history+of+science/book/978-3-7643-6052-8 |dead-url=yes |archive-date=21-avgust 2014-yil |location=AMS |publisher=Birkhäuser |isbn=978-3-0348-7584-4 |accessdate=21-avgust 2014-yil |=http://www.springer.com/birkhauser/history+of+science/book/978-3-7643-6052-8 }} {{Webarxiv|url=https://archive.today/20140821114917/http://www.springer.com/birkhauser/history+of+science/book/978-3-7643-6052-8 |date=2014-08-21 }}</ref>
| "Developed the [[theory of distributions]], a new notion of generalized function motivated by the [[Dirac delta-function]] of theoretical physics."<ref name="50reasons">{{veb manbasi |url=https://www.mathunion.org/fileadmin/IMU/Prizes/Fields/1950/index.html |title=Fields Medals 1950 |publisher=International Mathematical Union |website=mathunion.org}}</ref>

|-

| [[Atle Selberg]]
| [[Norvegiya]]
| [[Perspektiv tadqiqotlar instituti]], AQSh
| [[Perspektiv tadqiqotlar instituti]], AQSh<ref>{{veb manbasi|url=http://www.ams.org/notices/200906/rtx090600692p-corrected.pdf |format=PDF |title=Remembering Atle Selberg, 1917-2007 |website=Ams.org |accessdate=2017-03-31}}</ref>
| "Developed generalizations of the [[Brun's sieve|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. Erdős), with a generalization to prime numbers in an arbitrary arithmetic progression."<ref name="50reasons" />

|-
|rowspan=2| 1954
|rowspan=2| [[Amsterdam]], Niderlandiya

| [[Kunihiko Kodayra]]
| [[Yaponiya]]
|  | [[Tokio universiteti]], Yaponiya va [[Perspektiv tadqiqotlar instituti]], AQSh<ref name="mathunion.org">{{veb manbasi|url=http://www.mathunion.org/ICM/ICM1954.1/ICM1954.1.ocr.pdf |format=PDF |title=Proceedings of the International Congress of Mathematicians |date=1954 |website=Mathunion.org |accessdate=2017-03-31}}</ref>
| [[Tokio universiteti]], Yaponiya<ref>{{veb manbasi|url=http://www.ams.org/notices/199803/comm-obit-spencer.pdf |format=PDF |title=Kunihiko Kodaira (1915-1997) |author=Donald C. Spencer |website=Ams.org |accessdate=2017-03-31}}</ref>
| "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 manifold]]s."<ref name="54reasons">{{veb manbasi |url=https://www.mathunion.org/fileadmin/IMU/Prizes/Fields/1954/index.html |title=Fields Medals 1954 |publisher=International Mathematical Union |website=mathunion.org}}</ref>

|-

| [[Jean-Pierre Serre]]
| [[Fransiya]]
| [[Nancy universiteti]], Fransiya
| [[Collège de France]], Fransiya<ref>{{veb manbasi|url=http://www.math.rug.nl/~top/lectures/delft.pdf |format=PDF |title=Jean-Pierre Serre |website=Math.rug.nl |accessdate=2017-03-31}}</ref><ref>{{cite encyclopedia |url=http://www.britannica.com/EBchecked/topic/535878/Jean-Pierre-Serre|title=Jean-Pierre Serre|date=5-Feb 1997-yil|encyclopedia=Encyclopædia Britannica|accessdate=19-avgust 2014-yil}}</ref>
| "Achieved major results on the [[homotopy group]]s of spheres, especially in his use of the method of [[spectral sequence]]s. Reformulated and extended some of the main results of complex variable theory in terms of [[sheaf (mathematics)|sheaves]]."<ref name="54reasons" />

|-
|rowspan=2| 1958
|rowspan=2| [[Edinburgh]], Buyuk Britaniya

| [[Klaus Roth]]
| [[Buyuk Britaniya]]
| [[London universitet kolleji]], Buyuk Britaniya
| [[London imperial kolleji]], Buyuk Britaniya<ref>{{Harvnb|McKinnon Riehm|Hoffman|2011|p=212}}</ref>
| "Solved in 1955 the famous [[Thue-Siegel-Roth theorem|Thue-Siegel problem]] concerning the approximation to [[algebraic number]]s by [[rational number]]s and proved in 1952 that a sequence with no three numbers in arithmetic progression has zero density (a conjecture of Erdős and Turán of 1935)."<ref name="58reasons">{{veb manbasi |url=https://www.mathunion.org/fileadmin/IMU/Prizes/Fields/1958/index.html |title=Fields Medals 1958 |publisher=International Mathematical Union |website=mathunion.org}}</ref>

|-

| [[René Thom]]
| [[Fransiya]]
| [[Strasbourg universiteti]], Fransiya
| [[Oliy ilmiy tadqiqotlar instituti]], Fransiya<ref>{{veb manbasi |url=http://www.robertnowlan.com/pdfs/Thom,%20Rene.pdf |format=PDF |title=René Thom |website=Robertnowlan.com |accessdate=2017-03-31 |archivedate=2016-05-27 |archiveurl=https://web.archive.org/web/20160527024340/http://www.robertnowlan.com/pdfs/Thom,%20Rene.pdf }} {{Webarxiv|url=https://web.archive.org/web/20160527024340/http://www.robertnowlan.com/pdfs/Thom,%20Rene.pdf |date=2016-05-27 }}</ref>
| "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."<ref name="58reasons" />

|-
|rowspan=2| 1962
|rowspan=2| [[Stockholm]], Shvetsiya

| [[Lars Hörmander]]
| [[Shvetsiya]]
| [[Stockholm unviersiteti]], Shvetsiya
| [[Lund universiteti]], Shvetsiya<ref>{{veb manbasi|url=http://smai.emath.fr/IMG/pdf/matapli100_Hormander.pdf |format=PDF |title=A tribute to Lars Hörmander |website=Smai.emath.fr |accessdate=2017-03-31}}</ref>
| "Worked in [[partial differential equation]]s. Specifically, contributed to the general theory of linear differential operators. The questions go back to one of [[Hilbert's problems]] at the 1900 congress."<ref name="62reasons">{{veb manbasi |url=https://www.mathunion.org/fileadmin/IMU/Prizes/Fields/1962/index.html |title=Fields Medals 1962 |publisher=International Mathematical Union |website=mathunion.org}}</ref>

|-

| [[John Milnor]]
| [[AQSh]]
| [[Princeton universiteti]], AQSh
| [[Stony Brook universiteti]], AQSh<ref>{{veb manbasi |url=http://www.math.sunysb.edu/~jack/|title=John W. Milnor|date=5-mart 1997-yil|publisher=Stony Brook University|accessdate=17-avgust 2014-yil}}</ref>
| "Proved that a 7-dimensional sphere can have several differential structures; this led to the creation of the field of [[differential topology]]."<ref name="62reasons" />

|-

|rowspan=4| 1966
|rowspan=4| [[Moskva]], SSSR

| [[Michael Atiyah]]
| [[Buyuk Britaniya]]
| [[Oxford unviersiteti]], Buyuk Britaniya
| [[Edinburgh universiteti]], Buyuk Britaniya<ref>{{veb manbasi|language=es|url=http://upcommons.upc.edu/video/bitstream/2099.2/946/17/Poster05-AbelPrize-CV.pdf |format=PDF |title=Sir Michael F. Atiyah : The Abel Prize |website=Upcommons.upc.edu |accessdate=2017-03-31}}</ref>
| "Did joint work with Hirzebruch in [[K-theory]]; proved jointly with Singer the [[Atiyah–Singer index theorem|index theorem]] of elliptic operators on complex manifolds; worked in collaboration with Bott to prove a fixed point theorem related to the '[[Lefschetz fixed-point theorem|Lefschetz formula]]'."<ref name="66reasons">{{veb manbasi |url=https://www.mathunion.org/fileadmin/IMU/Prizes/Fields/1966/index.html |title=Fields Medals 1966 |publisher=International Mathematical Union |website=mathunion.org}}</ref>

|-

| [[Paul Cohen]]
| [[AQSh]]
| [[Stanford universiteti]], AQSh
| [[Stanford universiteti]], AQSh<ref>{{veb manbasi |url=http://historicalsociety.stanford.edu/pdfmem/Cohen_P.pdf |title=Archived copy |accessdate=2014-08-24 |deadurl=yes |archiveurl=https://web.archive.org/web/20150105133237/http://historicalsociety.stanford.edu/pdfmem/Cohen_P.pdf |archivedate=5-yanvar 2015-yil |df=dmy-all }} {{Webarxiv|url=https://web.archive.org/web/20150105133237/http://historicalsociety.stanford.edu/pdfmem/Cohen_P.pdf |date=2015-01-05 }}</ref>
| "Used technique called "[[Forcing (mathematics)|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."<ref name="66reasons" />

|-

| [[Alexander Grothendieck]]
| Hech qanday
| [[Oliy ilmiy tadqiqotlar instituti]], Fransiya
| [[Ilmiy tadqiqotlar milliy instituti]], Fransiya<ref>{{veb manbasi |url=http://www.math.ucdenver.edu/~jloats/StudentCELEBS/Grothendieck_Trenkamp.pdf |format=PDF |title=Alexander Grothendieck |website=Math.ucdenver.edu |accessdate=2017-03-31 |archivedate=2016-10-20 |archiveurl=https://web.archive.org/web/20161020015323/http://www.math.ucdenver.edu/~jloats/StudentCELEBS/Grothendieck_Trenkamp.pdf }} {{Webarxiv|url=https://web.archive.org/web/20161020015323/http://www.math.ucdenver.edu/~jloats/StudentCELEBS/Grothendieck_Trenkamp.pdf |date=2016-10-20 }}</ref>
| "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 ʻ[[Grothendieck's Tôhoku paper|''Tôhoku'' paper]]’."<ref name="66reasons" />

|-

| [[Stephen Smale]]
| [[AQSh]]
| [[California universiteti, Berkeley]], AQSh
| [[Hong Kong shahar universiteti]], Hong Kong<ref>{{veb manbasi|url=http://www6.cityu.edu.hk/ma/people/profile/smales.htm|title=Prof. Stephen SMALE (史梅爾)|date=5-aprel 2012-yil|publisher=City University of Hong Kong|accessdate=18-avgust 2014-yil|arxivsana=2014-11-09|arxivurl=https://web.archive.org/web/20141109090333/http://www6.cityu.edu.hk/ma/people/profile/smales.htm}}</ref>
| "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 [[Handlebody|handle-bodies]] to solve this and related problems."<ref name="66reasons" />

|-

|rowspan=4| 1970
|rowspan=4| [[Nice]], Fransiya
| [[Alan Baker]]
| [[Buyuk Britaniya]]
| [[Cambridge universiteti]], Buyuk Britaniya
| [[Trinity kolleji, Cambridge]], Buyuk Britaniya<ref>{{veb manbasi |url=http://www.heidelberg-laureate-forum.org/blog/laureate/alan-baker|title=The Laureates|date=25-sentyabr 2013-yil|publisher=Heidelberg Laureate Forum Foundation (HLFF)|accessdate=16-avgust 2014-yil}}</ref>
| "[[Baker's theorem|Generalized]] the [[Gelfond-Schneider theorem]] (the solution to Hilbert's seventh problem). From this work he generated transcendental numbers not previously identified."<ref name="70reasons">{{veb manbasi |url=https://www.mathunion.org/fileadmin/IMU/Prizes/Fields/1970/index.html |title=Fields Medals 1970 |publisher=International Mathematical Union |website=mathunion.org}}</ref>

|-

| [[Heysuke Hironaka]]
| [[Yaponiya]]
| [[Harvard universiteti]], AQSh
| [[Kyoto universiteti]], Yaponiya<ref>{{veb manbasi|url=http://www.ams.org/notices/200509/fea-hironaka.pdf |format=PDF |title=Interview with Heisuke Hironaka |website=Ams.org |accessdate=2017-03-31}}</ref><ref>{{veb manbasi|url=http://www.kurims.kyoto-u.ac.jp/en/emeritus.html|title=No title|date=26-may 2007-yil|publisher=Research Institute for Mathematical Sciences, Kyoto, Japan|accessdate=16-avgust 2014-yil|arxivsana=2014-04-04|arxivurl=https://web.archive.org/web/20140404225904/http://www.kurims.kyoto-u.ac.jp/en/emeritus.html}}</ref>
| "Generalized work of Zariski who had proved for dimension ≤ 3 the theorem concerning the [[resolution of singularities]] on an [[algebraic variety]]. Hironaka proved the results in any dimension."<ref name="70reasons" />

|-

| [[Sergey Novikov]]
| [[Sovet Ittifoqi]]
| [[Moskva davlat universiteti]], SSSR
| [[Steklov matematika instituti]], Rossiya
[[Moskva davlat universiteti]], Rossiya
[[Maryland universiteti (College Park)|Maryland universiteti]], AQSh <ref>{{veb manbasi|url=http://www.mi.ras.ru/~snovikov/998.pdf |format=PDF |title=Interview with Sergey P. Novikov |website=Mi.ras.ru |accessdate=2017-03-31}}</ref><ref>{{veb manbasi |url=http://www.mi.ras.ru/~snovikov/index.html|title=Novikov, Sergei Petrovich|date=1-yanvar 2012-yil|publisher=Russian Academy of Science|accessdate=20-avgust 2014-yil}}</ref>
| "Made important advances in topology, the most well-known being his proof of the topological invariance of the [[Pontryagin class]]es of the differentiable manifold. His work included a study of the cohomology and homotopy of [[Thom space]]s."<ref name="70reasons" />

|-

| [[John Thompson]]
| [[AQSh]]
| [[Cambridge universiteti]], [[Angliya]]
| [[Cambridge universiteti]], Angliya
[[Florida universiteti]], [[AQSh]]<ref>{{veb manbasi |url=http://www.abelprize.no/c53860/binfil/download.php?tid=53792 |format=PDF |title=John Griggs Thompson |website=Abelprize.no |accessdate=2017-03-31 |archivedate=2016-06-11 |archiveurl=https://web.archive.org/web/20160611151241/http://www.abelprize.no/c53860/binfil/download.php?tid=53792 }} {{Webarxiv|url=https://web.archive.org/web/20160611151241/http://www.abelprize.no/c53860/binfil/download.php?tid=53792 |date=2016-06-11 }}</ref>
| "Proved jointly with [[Walter Feit|W. Feit]] that [[Feit–Thompson theorem|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."<ref name="70reasons" />

|-

|rowspan=2| 1974
|rowspan=2| [[Vancouver (shahar)|Vancouver]], Kanada

| [[Enrico Bombieri]]
| [[Italiya]]
| [[Pisa universiteti]], Italiya
| [[Perspektiv tadqiqotlar instituti]], [[AQSh]]<ref>{{Kitob manbasi |editor1-last=BARTOCCI |editor1-first=CLAUDIO |editor2-last=Betti |editor2-first=Renato |editor3-last=Guerraggio |editor3-first=Angelo |display-editors = 3 |editor4-last=Lucchetti |editor4-first=Roberto Lucchetti |title=Vite Mathematiche |trans-title=Mathematical Lives: Protagonists of the Twentieth Century From Hilbert to Wiles |url=https://www.amazon.com/Mathematical-Lives-Protagonists-Twentieth-Century/dp/3642136052 |edition=2011 |publisher=Springer |publication-date=2011 |pages=2013–2014 |isbn=978-3642136054 |accessdate= 18-avgust 2014-yil}}</ref>
| "Major contributions in the primes, in [[univalent function]]s 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."<ref name="74reasons">{{veb manbasi |url=https://www.mathunion.org/fileadmin/IMU/Prizes/Fields/1974/index.html |title=Fields Medals 1974 |publisher=International Mathematical Union |website=mathunion.org}}</ref>

|-

| [[David Mumford]]
| [[AQSh]]
| [[Harvard universiteti]], AQSh
| [[Brown universiteti]], AQSh<ref>{{veb manbasi |url=http://www.dam.brown.edu/people/facultypage.mumford.html||title=David Mumford=12-may 2006-yil|publisher= The Division of Applied Mathematics, Brown University|accessdate=18-avgust 2014-yil}}</ref>
| "Contributed to problems of the existence and structure of [[Moduli space|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 surface]]s."<ref name="74reasons" />

|-
|rowspan=4| 1978
|rowspan=4| [[Helsinki]], Finlandiya

| [[Pierre Deligne]]
| [[Belgiya]]
| [[Oliy ilmiy tadqiqotlar instituti]], Fransiya
| [[Perspektiv tadqiqotlar instituti]], AQSh<ref>{{veb manbasi |url=http://www.abelprize.no/c57681/binfil/download.php?tid=57756 |format=PDF |title=Pierre Deligne |website=Abelprize.no |accessdate=2017-03-31 |archivedate=2016-03-03 |archiveurl=https://web.archive.org/web/20160303181225/http://www.abelprize.no/c57681/binfil/download.php?tid=57756 }} {{Webarxiv|url=https://web.archive.org/web/20160303181225/http://www.abelprize.no/c57681/binfil/download.php?tid=57756 |date=2016-03-03 }}<</ref>
| "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."<ref name="78reasons">{{veb manbasi |url=https://www.mathunion.org/fileadmin/IMU/Prizes/Fields/1978/index.html |title=Fields Medals 1978 |publisher=International Mathematical Union |website=mathunion.org}}</ref>

|-

| [[Charles Fefferman]]
| [[AQSh]]
| [[Princeton universiteti]], AQSh
| [[Princeton universiteti]], AQSh<ref>{{veb manbasi|url=http://web.math.princeton.edu/WebCV/FeffermanCV.pdf |format=PDF |title=CV : Charles Fefferman |website=Web.math.princeton.edu |accessdate=2017-03-31}}<</ref>
| "Contributed several innovations that revised the study of multidimensional complex analysis by finding correct generalizations of classical (low-dimensional) results."<ref name="78reasons" />

|-

| [[Grigoriy Margulis]]
| [[Sovet Ittifoqi]]
| [[Moskva davlat universiteti]], SSSR
| [[Yale universiteti]], AQSh<ref>{{veb manbasi|url=http://users.math.yale.edu/public_html/People/gam3.html|title=Yale Mathematics Department: Gregory A. Margulis|publisher=|accessdate=16-mart 2015-yil}}</ref>
| "Provided innovative analysis of the structure of [[Lie group]]s. His work belongs to combinatorics, differential geometry, ergodic theory, dynamical systems, and Lie groups."<ref name="78reasons" />

|-

| [[Daniel Quillen]]
| [[AQSh]]
| [[Massachusetts texnologiya instituti]], AQSh
| [[Oxford universiteti]], Angliya<ref>{{veb manbasi|url=http://www.ams.org/notices/201210/rtx121001392p.pdf |title=fea-memorial-quillen.dvi |website=Ams.org |format=PDF |date= |accessdate=2017-03-31}}</ref>
| "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."<ref name="78reasons" />

|-
|rowspan=3| 1982
|rowspan=3| [[Varshava]], Polsha

| [[Alain Connes]]
| [[Fransiya]]
| [[Oliy ilmiy tadqiqotlar instituti]], Fransiya
| Oliy ilmiy tadqiqotlar instituti, Fransiya
[[Collège de France]], Fransiya
[[Ohio davlat universiteti]], US<ref>{{veb manbasi |url=http://www.alainconnes.org/en/|title=Alain Connes|date=25-may 2012-yil|accessdate=18-avgust 2014-yil}}</ref>
| "Contributed to the theory of [[operator algebra]]s, 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*-algebra]]s to foliations and differential geometry in general."<ref name="82reasons">{{veb manbasi |url=https://www.mathunion.org/fileadmin/IMU/Prizes/Fields/1982/index.html |title=Fields Medals and Nevanlinna Prize 1982 |publisher=International Mathematical Union |website=mathunion.org}}</ref>

|-

| [[William Thurston]]
| [[AQSh]]
| [[Princeton universiteti]], AQSh
| [[Cornell universiteti]], AQSh<ref>{{veb manbasi |url=http://www.math.cornell.edu/spb/index.php|title=William P. Thurston, 1946-2012|date=30-avgust 2012-yil|accessdate=18-avgust 2014-yil}}</ref>
| "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-manifold]]s carry a hyperbolic structure."<ref name="82reasons" />

|-

| [[Shing-Tung Yau]]
| Hech qanday
| [[Perspektiv tadqiqotlar instituti]], [[AQSh]]
| [[Harvard universiteti]], AQSh<ref>{{veb manbasi |url=http://www.doctoryau.com/yau_cv.pdf |format=PDF |title=CV : Shing-Tung Yau |website=Doctoryau.com |accessdate=2017-03-31 |archivedate=2017-10-25 |archiveurl=https://web.archive.org/web/20171025135744/http://www.doctoryau.com/yau_cv.pdf }} {{Webarxiv|url=https://web.archive.org/web/20171025135744/http://www.doctoryau.com/yau_cv.pdf |date=2017-10-25 }}</ref>
| "Made contributions in differential equations, also to the [[Calabi conjecture]] in algebraic geometry, to the [[Positive energy theorem|positive mass conjecture]] of general relativity theory, and to real and complex [[Monge–Ampère equation]]s."<ref name="82reasons" />

|-
|rowspan=3| 1986
|rowspan=3| [[Berkeley, California|Berkeley]], AQSh

| [[Simon Donaldson]]
| [[AQSh]]
| [[Oxford universiteti]], Buyuk Britaniya
| [[London imperial kolleji]], Buyuk Britaniya<ref>{{veb manbasi |url=http://wwwf.imperial.ac.uk/~skdona/|title=Simon Donaldson (Royal Society Research Professor)|date=16-yanvar 2008-yil|publisher= Department of Mathematics, Imperial College, Queen's Gate, London|accessdate=16-avgust 2014-yil}}</ref> [[Stony Brook University]], US<ref>{{veb manbasi|url=http://scgp.stonybrook.edu/people/faculty/bios/simon-donaldson|title=Simon Donaldson|publisher=|accessdate=16-mart 2015-yil}}</ref>
| "Received medal primarily for his work on topology of [[four-manifold]]s, especially for showing that there is a differential structure on euclidian four-space which is [[Exotic R4|different]] from the usual structure."<ref name="86reasons">{{veb manbasi |url=https://www.mathunion.org/fileadmin/IMU/Prizes/Fields/1986/index.html |title=Fields Medals and Nevanlinna Prize 1986 |publisher=International Mathematical Union |website=mathunion.org}}</ref>

|-

| [[Gerd Faltings]]
| [[Germaniya Federativ Respublikasi (1949—1990)|Germaniya Federativ Respublikasi]]
| [[Princeton universiteti]], AQSh
| [[Max Planck matematika instituti]], Germaniya<ref>{{veb manbasi|url=http://www.heidelberg-laureate-forum.org/blog/laureate/gerd-faltings/|title=The Laureates|date=6-oktyabr 2013-yil|publisher=Heidelberg Laureate Forum Foundation (HLFF)|accessdate=16-avgust 2014-yil|archivedate=2014-10-06|archiveurl=https://web.archive.org/web/20141006065705/http://www.heidelberg-laureate-forum.org/blog/laureate/gerd-faltings/}} {{Webarxiv|url=https://web.archive.org/web/20141006065705/http://www.heidelberg-laureate-forum.org/blog/laureate/gerd-faltings/ |date=2014-10-06 }}</ref>
| "Using methods of arithmetic algebraic geometry, he received medal primarily for his proof of the [[Mordell Conjecture]]."<ref name="86reasons" />

|-

| [[Michael Freedman]]
| [[AQSh]]
| [[California universiteti, San Diego]], AQSh
| [[Microsoft Research]], AQSh<ref>{{veb manbasi|url=http://celebratio.org/cmmedia/essaypdf/19_main_3.pdf|title=Michael H. Freedman|author=ROB KIRBY|deadurl=bot: unknown|archiveurl=https://web.archive.org/web/20141006102901/http://celebratio.org/cmmedia/essaypdf/19_main_3.pdf|archivedate=6-oktyabr 2014-yil|df=dmy-all}} {{Webarxiv|url=https://web.archive.org/web/20141006102901/http://celebratio.org/cmmedia/essaypdf/19_main_3.pdf |date=2014-10-06 }}</ref>
| "Developed new methods for topological analysis of [[four-manifold]]s. One of his results is a proof of the [[Generalized Poincaré conjecture|four-dimensional Poincaré Conjecture]]."<ref name="86reasons" />

|-
|rowspan=4| 1990
|rowspan=4| [[Kyoto]], Yaponiya

| [[Vladimir Drinfeld]]
| [[Sovet Ittifoqi]]
| [[B. I. Verkin nomidagi past harorat fizika-texnika instituti]], Sovet Ittifoqi<ref>{{cite encyclopedia |url=http://www.britannica.com/EBchecked/topic/171669/Vladimir-Gershonovich-Drinfeld|title=Vladimir Gershonovich Drinfeld|date=19-avgust 2009-yil|encyclopedia=Encyclopædia Britannica|accessdate=2-sentyabr 2014-yil}}</ref>
| [[Chicago universiteti]], AQSh<ref>{{veb manbasi |url=http://www-history.mcs.st-and.ac.uk/Biographies/Drinfeld.html |title=Vladimir Gershonovich Drinfeld|date=18-avgust 2009-yil|publisher=School of Mathematics and Statistics, University of St Andrews, Scotland|accessdate=16-avgust 2014-yil}}</ref>
| "For his work on [[quantum group]]s and for his work in number theory."

|-

| [[Vaughan Jones]]
| [[Yangi Zelandiya]]
| [[California universiteti, Berkeley]], AQSh
| California universiteti, Berkeley, AQSh,<ref>{{veb manbasi|url=http://math.berkeley.edu/~vfr/vita/|title=Curriculum Vitae: Vaughan F. R. Jones|publisher=University of California, Berkeley|date=10-noyabr 2001-yil|accessdate=16-avgust 2014-yil|deadurl=yes|archiveurl=https://web.archive.org/web/20130806082228/http://math.berkeley.edu/~vfr/vita|archivedate=6-avgust 2013-yil|df=dmy-all}} {{Webarxiv|url=https://web.archive.org/web/20130806082228/http://math.berkeley.edu/~vfr/vita |date=2013-08-06 }}</ref>
[[Vanderbilt universiteti]], AQSh<ref>{{veb manbasi|last=Salisbury|first=David|title=Fields Medalist joins Vanderbilt faculty|url=http://news.vanderbilt.edu/2011/04/vaughan-jones/|publisher=Vanderbilt University|accessdate=17-may 2011-yil|date=6-aprel 2011-yil}}</ref>
| "For his discovery of an unexpected link between the [[knot theory|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]]
| [[Yaponiya]]
| [[Kyoto universiteti]], Yaponiya
| [[Kyoto universiteti]], Yaponiya<ref>{{veb manbasi|url=http://www.heidelberg-laureate-forum.org/blog/laureate/shigefumi-mori/|title=The Laureates|publisher=Heidelberg Laureate Forum Foundation (HLFF)|date=10-aprel 2014-yil|accessdate=16-avgust 2014-yil|archivedate=2014-08-15|archiveurl=https://web.archive.org/web/20140815120453/http://www.heidelberg-laureate-forum.org/blog/laureate/shigefumi-mori/}} {{Webarxiv|url=https://web.archive.org/web/20140815120453/http://www.heidelberg-laureate-forum.org/blog/laureate/shigefumi-mori/ |date=2014-08-15 }}</ref>
| "For the proof of Hartshorne’s conjecture and his work on the classification of three-dimensional algebraic varieties."

|-

| [[Edward Witten]]
| [[AQSh]]
| [[Perspektiv tadqiqotlar instituti]], AQSh
| [[Perspektiv tadqiqotlar instituti]], AQSh<ref>{{veb manbasi |url=http://www.sns.ias.edu/~witten/CurrentCV.pdf |title=Archived copy |accessdate=2011-10-26 |deadurl=yes |archiveurl=https://web.archive.org/web/20120204111241/http://www.sns.ias.edu/~witten/CurrentCV.pdf |archivedate=4-fevral 2012-yil |df=dmy-all }} {{Webarxiv|url=https://web.archive.org/web/20120204111241/http://www.sns.ias.edu/~witten/CurrentCV.pdf |date=2012-02-04 }}</ref>
| "Time and again he has surprised the mathematical community by a brilliant application of physical insight leading to new and deep mathematical theorems."<ref>{{veb manbasi |url=http://www.mathunion.org/ICM/ICM1990.1/Main/icm1990.1.0031.0036.ocr.pdf |format=PDF |title=On the Work of Edward Witten |author=Michael Atiyah |website=Mathunion.org |accessdate=2017-03-31 |deadurl=yes |archiveurl=https://web.archive.org/web/20170301004342/http://www.mathunion.org/ICM/ICM1990.1/Main/icm1990.1.0031.0036.ocr.pdf |archivedate=1-mart 2017-yil |df=dmy-all }} {{Webarxiv|url=https://web.archive.org/web/20170301004342/http://www.mathunion.org/ICM/ICM1990.1/Main/icm1990.1.0031.0036.ocr.pdf |date=2017-03-01 }}</ref>

|-
|rowspan=4| 1994
|rowspan=4| [[Zurich]], Shveysariya

| [[Jean Bourgain]]
| [[Belgiya]]
| [[Oliy ilmiy tadqiqotlar instituti]], Fransiya
| [[Perspektiv tadiqoqotlar instituti]], AQSh<ref>{{veb manbasi|url=https://www.math.ias.edu/files/bourgain/CVBourgain.pdf |format=PDF |title=CV : Jean Bourgain |website=Math.ias.edu |accessdate=2017-03-31}}</ref>
| "Bourgain's work touches on several central topics of mathematical analysis: the geometry of [[Banach space]]s, convexity in high dimensions, harmonic analysis, ergodic theory, and finally, nonlinear partial differential equations from mathematical physics."
|-

| [[Pierre-Louis Lions]]
| [[Fransiya]]
| [[Paris-Dauphine universiteti]], Fransiya
| [[Collège de France]], Fransiya
[[Politexnika maktabi (Paris)|Politexnika maktabi]], Fransiya<ref>{{veb manbasi|url=http://www.college-de-france.fr/site/pierre-louis-lions/biographie.htm|title=Collège de France|website=College-de-france.fr|date=16-dekabr 2013-yil|accessdate=18-avgust 2014-yil}}</ref>
| "... 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|"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 solution]]s, 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]]
| [[Fransiya]]
| [[Paris-Sud universiteti]], Fransiya
| [[Collège de France]], Fransiya<ref>{{veb manbasi|url=http://www.college-de-france.fr/site/jean-christophe-yoccoz/biographie.htm|title=Collège de France|website=College-de-france.fr|date=16-dekabr 2013-yil|accessdate=18-avgust 2014-yil}}</ref>
| "Proving stability properties - [[Stability theory|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."

|-

| [[Yefim Zelmanov]]
| [[Rossiya]]
| [[California universiteti, San Diego]], AQSh
| [[Steklov matematik instituti]], Rossiya,
[[California universiteti, San Diego]], AQSh<ref>{{veb manbasi|url=http://www.ime.usp.br/~grishkov/papers/CV.Zelm..pdf |format=PDF |title=CV : Efim Zelmanov |website=Ime.usp.br |accessdate=2017-03-31}}</ref>
| "For his solution to the restricted [[Burnside problem]]."

|-
|rowspan=4| 1998
|rowspan=4| [[Berlin]], Germany

| [[Richard Borcherds]]
| [[Buyuk Britaniya]]
| [[California universiteti, Berkeley]], AQSh
[[Cambridge universiteti]], Buyuk Britaniya
| [[California universiteti, Berkeley]], AQSh<ref>{{veb manbasi|url=http://www.heidelberg-laureate-forum.org/blog/laureate/richard-borcherds/|title=The Laureates|publisher=Heidelberg Laureate Forum Foundation (HLFF)|date=10-aprel 2014-yil|accessdate=16-avgust 2014-yil|archivedate=2014-10-06|archiveurl=https://web.archive.org/web/20141006103635/http://www.heidelberg-laureate-forum.org/blog/laureate/richard-borcherds/}} {{Webarxiv|url=https://web.archive.org/web/20141006103635/http://www.heidelberg-laureate-forum.org/blog/laureate/richard-borcherds/ |date=2014-10-06 }}</ref>
| "For his work on the introduction of [[Vertex operator algebra|vertex algebras]], the proof of the [[Monstrous moonshine|Moonshine conjecture]] and for his discovery of a new class of automorphic infinite products."

|-

| [[Timothy Gowers]]
| [[United Kingdom]]
| [[University of Cambridge]], UK
| [[University of Cambridge]], UK<ref>{{cite encyclopedia|url=http://www.britannica.com/EBchecked/topic/240293/William-Timothy-Gowers|title=William Timothy Gowers|encyclopedia=Encyclopædia Britannica|date=28-mart 2009-yil|accessdate=16-avgust 2014-yil}}</ref>
| "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."

|-

| [[Maksim Konsevich]]
| [[Rossiya]]
| [[Oliy ilmiy tadqiqotlar instituti]], Fransiya
[[Rutgers universiteti]], AQSh
| [[Oliy ilmiy tadqiqotlar instituti]], Fransiya
[[Rutgers uiversiteti]], AQSh<ref>{{veb manbasi|url=http://www.ihes.fr/~maxim/CVAnglais.html/|title=CURRICULUM VITAE|publisher=ihes|date=22-noyabr 2009-yil|accessdate=16-avgust 2014-yil|deadurl=yes|archiveurl=https://web.archive.org/web/20141010040126/http://www.ihes.fr/~maxim/CVAnglais.html|archivedate=10-oktyabr 2014-yil|df=dmy-all}} {{Webarxiv|url=https://web.archive.org/web/20141010040126/http://www.ihes.fr/~maxim/CVAnglais.html |date=2014-10-10 }}</ref>
| "Contributions to four problems of geometry."

|-

| [[Curtis McMullen]]
| [[AQSh]]
| [[Harvard universiteti]], AQSh
| [[Harvard universiteti]], AQSh<ref>{{veb manbasi|url=http://abel.math.harvard.edu/~ctm/vita/resume.pdf |format=PDF |title=CV : Curtis T McMullen |website=Abel.math.harvard.edu |accessdate=2017-03-31}}</ref>
| "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."

|-
|rowspan=2| 2002
|rowspan=2| [[Pekin]], Xitoy

| [[Laurent Lafforgue]]
| [[Fransiya]]
| [[Ilmiy tadqiqotlar milliy markazi]], Fransiya
| [[Ilmiy tadqiqotlar milliy markazi]], Fransiya<ref>{{veb manbasi|url=http://www.ihes.fr/~lafforgue/cv.html|title=Curriculum Vitae|publisher=ihes|date=6-dekabr 2005-yil|accessdate=19-avgust 2014-yil}}</ref>
| "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 Voyevodskiy]]
| [[Rossiya]]
| [[Perspektiv tadqiqotlar instituti]], AQSh
| [[Perspektiv tadqiqotlar instituti]], AQSh<ref>{{veb manbasi|url=http://www.math.ias.edu/~vladimir/Site3/home_files/mitcv12.pdf |format=PDF |title=CV : Vladimir Voevodsky |website=Math.ias.edu |accessdate=2017-03-31}}</ref>
| "He defined and developed motivic cohomology and the A1-homotopy theory of algebraic varieties; he proved the [[Milnor conjecture]]s on the K-theory of fields."

|-

|rowspan=4| 2006
|rowspan=4| [[Madrid]], Ispaniya

| [[Andrey Okunkov]]
| [[Rossiya]]
| [[Princeton universiteti]], AQSh
| [[Columbia universiteti]], AQSh<ref>{{veb manbasi|url=http://www.math.columbia.edu/people/directory/?dname=Okounkov&did=69|title=Department of Mathematics |date=20-dekabr 2012-yil|publisher=University of Columbia, Department of Mathematics|accessdate=19-avgust 2014-yil}}</ref>
| "For his contributions bridging probability, representation theory and algebraic geometry."

|-

| [[Grigoriy Perelman]] ''(mukofotni rad etgan)''
| [[Rossiya]]
| Hech qanday
| [[Rossiya Fanlar akademiyasining V. A. Steklov nomidagi matematika institutining Sankt-Peterburg boʻlimi]], Rossiya<ref>{{cite encyclopedia|url=http://www.britannica.com/EBchecked/topic/1272681/Grigori-Perelman|title=Encyclopædia Britannica |date=28-may 2008-yil|encyclopedia=Encyclopædia Britannica|accessdate=19-avgust 2014-yil}}</ref>
| "For his contributions to geometry and his revolutionary insights into the analytical and geometric structure of the [[Ricci flow]]."

|-

| [[Terence Tao]]
| [[Avstraliya]]
| [[California universiteti, Los Angeles]], AQSh
| [[California universiteti, Los Angeles]], AQSh<ref>{{veb manbasi|url=https://www.math.ucla.edu/~tao/preprints/cv.html|title=Vitae and Bibliography for Terence Tao|date=16-mart 2010-yil|publisher=UCLA Dept. of Math.|accessdate=19-avgust 2014-yil}}</ref>
| "For his contributions to partial differential equations, combinatorics, harmonic analysis and additive number theory."

|-

| [[Wendelin Werner]]
| [[Fransiya]]
|  [[Paris-Sud universiteti]], Fransiya
| [[ETH Zurich]], Shveysariya<ref>{{veb manbasi|url=http://www.math.ethz.ch/~wewerner/|title=Wendelin WERNER|date=18-sentyabr 2013-yil|publisher=ETH Zurich|accessdate=19-avgust 2014-yil|arxivsana=2014-10-06|arxivurl=https://web.archive.org/web/20141006131413/http://www.math.ethz.ch/~wewerner/}}</ref>
| "For his contributions to the development of [[Schramm–Loewner evolution|stochastic Loewner evolution]], the geometry of two-dimensional [[Brownian motion]], and [[conformal field theory]]."

|-
|rowspan=4| 2010
|rowspan=4| [[Haydarobod]], Hindiston

| [[Elon Lindenstrauss]]
| [[Isroil]]
| [[Quddus yahudiy universiteti]], Isroil
[[Princeton universiteti]], AQSh
| [[Quddus yahudiy universiteti]], Isroil<ref>{{veb manbasi|url=http://www.huji.ac.il/huji/nobel/lindE.htm|title=Nobel at HU|date=5-iyul 2011-yil|publisher=The Hebrew University of Jerusalem|accessdate=16-avgust 2014-yil}}</ref>
| "For his results on measure rigidity in [[ergodic theory]], and their applications to number theory."

|-

| [[Ngo Bao Tyau]]
| [[Vyetnam]], [[Fransiya]]
| [[Paris-Sud universiteti]], Fransiya
[[Perspektiv tadqiqotlar instituti]], AQSh
| [[Chicago universiteti]], AQSh
Vietnam Institute for Advanced Study, Vietnam<ref>{{veb manbasi|url=http://www.heidelberg-laureate-forum.org/blog/laureate/bao-chau-ngo/|title=Ngô Bảo Châu › Heidelberg Laureate Forum|publisher=|accessdate=16-mart 2015-yil|archivedate=2015-02-07|archiveurl=https://web.archive.org/web/20150207021714/http://www.heidelberg-laureate-forum.org/blog/laureate/bao-chau-ngo/}} {{Webarxiv|url=https://web.archive.org/web/20150207021714/http://www.heidelberg-laureate-forum.org/blog/laureate/bao-chau-ngo/ |date=2015-02-07 }}</ref>
| "For his proof of the [[Fundamental lemma (Langlands program)|Fundamental Lemma]] in the theory of [[automorphic form]]s through the introduction of new algebro-geometric methods."

|-

| [[Stanislav Smirnov]]
| [[Rossiya]]
| [[Geneva universiteti]], Shveysariya
| [[Geneva universiteti]], Shveysariya
[[Sankt-Peterburg davlat universiteti]], Rossiya<ref>{{veb manbasi|url=http://www.unige.ch/~smirnov/|title=Home Page  of Stanislav Smirnov|publisher=|accessdate=16-mart 2015-yil}}</ref>
| "For the proof of conformal invariance of percolation and the planar [[Ising model]] in statistical physics."

|-

| [[Cédric Villani]]
| [[Fransiya]]
| [[Oliy normal maktab (Lyon)|Oliy normal maktab]], Fransiya
[[Henri Poincaré instituti]], Fransiya
| [[Lyon universiteti]], Fransiya
[[Henri Poincaré instituti]], Fransiya<ref>{{veb manbasi |url=http://cedricvillani.org/wp-content/uploads/2012/10/cv-2012.pdf |format=PDF |title=CV : Cedric Villani |website=Cedricvillani.org |accessdate=2017-03-31 |archivedate=2016-06-23 |archiveurl=https://web.archive.org/web/20160623224603/http://cedricvillani.org/wp-content/uploads/2012/10/cv-2012.pdf }} {{Webarxiv|url=https://web.archive.org/web/20160623224603/http://cedricvillani.org/wp-content/uploads/2012/10/cv-2012.pdf |date=2016-06-23 }}</ref>
| "For his proofs of nonlinear [[Landau damping]] and convergence to equilibrium for the [[Boltzmann equation]]."

|-
|rowspan=4| 2014
|rowspan=4| [[Seoul]], Janubiy Koreya

| [[Artur Avila]]
| [[Braziliya]], [[Fransiya]]
| [[Paris Diderot universiteti]], [[Fransiya]]
[[Ilmiy tadqiqotlar milliy markazi]], Fransiya<br/>
[[Instituto Nacional de Matemática Pura e Aplicada]], [[Braziliya]]
| [[Zurich universiteti]], [[Shveysariya]]
[[Instituto Nacional de Matemática Pura e Aplicada]], [[Braziliya]]
| "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."<ref name="14reasons">{{veb manbasi |url=https://www.mathunion.org/imu-awards/fields-medal/fields-medals-2014 |title=Fields Medals 2014 |publisher=International Mathematical Union |website=mathunion.org}}</ref>

|-

| [[Manjul Bhargava]]
| [[Kanada]], [[AQSh]]
| [[Princeton universiteti]], AQSh
| [[Princeton universiteti]], AQSh<ref>{{veb manbasi|url=http://www2.maths.ox.ac.uk/cmi/library/research_award/Bhargava/CV.pdf |format=PDF |title=CV : Manjul Bhargava |website=2.maths.ox.ac.uk |accessdate=2017-03-31}}</ref><ref>{{veb manbasi |url=http://www.mathunion.org/fileadmin/IMU/Prizes/2014/news_release_bhargava.pdf |format=PDF |title=The Work of Manjul Bhargava |website=Mathunion.org |accessdate=2017-03-31 |deadurl=yes |archiveurl=https://web.archive.org/web/20170713133635/http://www.mathunion.org/fileadmin/IMU/Prizes/2014/news_release_bhargava.pdf |archivedate=13-iyul 2017-yil |df=dmy-all }} {{Webarxiv|url=https://web.archive.org/web/20170713133635/http://www.mathunion.org/fileadmin/IMU/Prizes/2014/news_release_bhargava.pdf |date=2017-07-13 }}</ref><ref>{{veb manbasi|url=http://www.math.princeton.edu/directory/faculty|title=Faculty|date=8-may 2012-yil|publisher=The Princeton University, Department of Mathematics|accessdate=19-dekabr 2014-yil|deadurl=yes|archiveurl=https://web.archive.org/web/20141225194217/http://www.math.princeton.edu/directory/faculty|archivedate=25-dekabr 2014-yil|df=dmy-all}} {{Webarxiv|url=https://web.archive.org/web/20141225194217/http://www.math.princeton.edu/directory/faculty |date=2014-12-25 }}</ref>
| "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 curve]]s."<ref name="14reasons" />

|-

| [[Martin Hairer]]
| [[Avstriya]]
| [[Warwick universiteti]], Buyuk Britaniya
| [[London imperial kolleji]], Buyuk Britaniya
| <ref name="14reasons" />

|-

| [[Maryam Mirzaxoniy]]
| [[Eron]]
| [[Stanford universiteti]], AQSh
| [[Stanford universiteti]], AQSh<ref>{{veb manbasi|url=http://www2.maths.ox.ac.uk/cmi/library/annual_report/ar2008/08Interview.pdf|title=Interview with Research Fellow Maryam Mirzakhani|publisher=}}</ref><ref>{{veb manbasi|url=http://mathematics.stanford.edu/people/faculty-lecturers/|title=Department of Mathematics|date=22-yanvar 2009-yil|publisher=Stanford University|accessdate=19-dekabr 2014-yil}}</ref>
| <ref name="14reasons" />

|-

|rowspan=4| 2018
|rowspan=4| [[Rio de Janeiro]], Braziliya
| [[Caucher Birkar]]
| [[Eron]], [[Britaniya]]
| [[Cambridge universiteti]], Britaniya
| [[Cambridge universiteti]], Britaniya
| "For the proof of the boundedness of [[Fano varieties]] and for contributions to the [[minimal model program]]."<ref name="18reasons">{{veb manbasi |url=https://www.mathunion.org/imu-awards/fields-medal/fields-medals-2018 |title=Fields Medals 2018 |publisher=International Mathematical Union |website=mathunion.org}}</ref>

|-

| [[Alessio Figalli]]
| [[Italiya]]
| [[Swiss Federal Institute of Technology Zurich]], [[Shveysariya]]
| [[Swiss Federal Institute of Technology Zurich]], [[Shveysariya]]
| "For contributions to the theory of [[optimal transport]] and its applications in [[partial differential equation]]s, [[metric geometry]] and [[probability]]."<ref name="18reasons" />

|-

| [[Peter Scholze]]
| [[Germaniya]]
| [[Bonn universiteti]], Germaniya
| [[Bonn universiteti]], Germaniya
| "For transforming arithmetic algebraic geometry over [[p-adic field]]s through his introduction of [[perfectoid space]]s, with application to [[Galois representation]]s, and for the development of new [[cohomology theory|cohomology theories]]."<ref name="18reasons" />

|-

| [[Akshay Venkatesh]]
| [[Avstraliya]]
| [[Stanford universiteti]], AQSh
| [[Stanford universiteti]], AQSh
[[Perspektiv tadqiqotlar instituti]], AQSh<ref>{{veb manbasi|url=https://www.ias.edu/press-releases/faculty-appointee-akshay-venkatesh-awarded-2018-fields-medal|title=Faculty Appointee Akshay Venkatesh Awarded 2018 Fields Medal|publisher=}}</ref>
|"For his synthesis of [[analytic number theory]], [[Dynamical system|homogeneous dynamics]], [[topology]], and [[representation theory]], which has resolved long-standing problems in areas such as the equidistribution of arithmetic objects."<ref name="18reasons" />
|-

|rowspan=4| 2022
|rowspan=4| [[Helsinki]], Finlandiya{{refn|ICM 2022 was originally planned to be held in [[Saint Petersburg]], Russia, but was moved online following the [[2022 Russian invasion of Ukraine]]. The award ceremony for the Fields Medals and prize winner lectures took place in Helsinki, Finland and were live-streamed.<ref>{{Veb manbasi |title=Decision of the Executive Committee of the IMU on the upcoming ICM 2022 and IMU General Assembly |url=https://www.mathunion.org/fileadmin/IMU/ICM2022/ICM_2022_statement.pdf}}</ref><ref>{{veb manbasi|url=https://www.mathunion.org/icm/virtual-icm-2022|title=Virtual ICM 2022|website=International Mathematical Union}}</ref>||group="izoh"}}
| [[Hugo Duminil-Copin]]
|
| [[Institut des Hautes Études Scientifiques]], Fransiya  
[[Geneva universiteti]], Shveysariya <ref name="unige.ch">{{veb manbasi | url=https://www.unige.ch/sciences/math/fields2022/en | title=Hugo Duminil-Copin – Fields Medal 2022 – UNIGE | date=28 June 2022 }}</ref>
| [[Institut des Hautes Études Scientifiques]], Fransiya  
[[Geneva universiteti]], Shveysariya <ref name="unige.ch"/>
| "For solving longstanding problems in the probabilistic theory of phase transitions in statistical physics, especially in dimensions three and four."<ref name="2022fields">{{veb manbasi|url=https://www.mathunion.org/imu-awards/fields-medal/fields-medals-2022|title=Fields Medals 2022|website=International Mathematical Union}}</ref>

|-
| [[June Huh]]
|
| [[Princeton universiteti]], [[AQSh]]
| [[Princeton universiteti]], [[AQSh]]
| "For bringing the ideas of [[Hodge theory]] to combinatorics, the proof of the Dowling–Wilson conjecture for geometric lattices, the proof of the Heron–Rota–Welsh conjecture for [[matroid]]s, the development of the theory of Lorentzian polynomials, and the proof of the strong Mason conjecture."<ref name="2022fields" />

|-
| [[James Maynard]]
|
| [[Oxford universiteti]], [[Buyuk Britaniya]]
| [[Oxford universiteti]], [[Buyuk Britaniya]]
| "For contributions to analytic number theory, which have led to major advances in the understanding of the structure of prime numbers and in Diophantine approximation."<ref name="2022fields" />

|-
| [[Marina Vyazovskaya]]
|
| [[École Polytechnique Fédérale de Lausanne]], [[Shveysariya]]
| [[École Polytechnique Fédérale de Lausanne]], [[Shveysariya]]
| "For the proof that the [[E8 lattice#Sphere packings and kissing numbers|<math>E_8</math> lattice]] provides the densest packing of identical spheres in 8 dimensions, and further contributions to related extremal problems and interpolation problems in Fourier analysis."<ref name="2022fields" />
|}

== Izohlar ==
{{manbalar|group="izoh"}}

== Manbalar ==
{{manbalar|2}}

== Havolalar ==
{{Commons turkum|Fields medal|Fields medali}}
* [https://www.mathunion.org/imu-awards/fields-medal Rasmiy sahifa ([[Xalqaro matematika ittifoqi]] saytida)] {{Webarxiv|url=https://web.archive.org/web/20181226015744/https://www.mathunion.org/imu-awards/fields-medal |date=2018-12-26 }} {{ref-en}}
{{Fields medali sovrindorlari}}

[[Turkum:Fields medali]]