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Abel Prize

From Wikipedia, the free encyclopedia
Norwegian international mathematics prize

Award
Abel Prize
Portrait of Niels Henrik Abel
Abel Prize logo
Awarded forOutstanding scientific work in the field ofmathematics
CountryNorway
Presented byGovernment of Norway
First award2003
Currently held byMasaki Kashiwara (2025)
Websitewww.abelprize.no

TheAbel Prize (/ˈɑːbəl/AH-bəl;Norwegian:Abelprisen[ˈɑ̀ːbl̩ˌpriːsn̩]) is awarded annually by theKing of Norway to one or more outstandingmathematicians.[1] It is named after the Norwegian mathematicianNiels Henrik Abel (1802–1829) and directly modeled after theNobel Prizes;[2][3][4][5][6][7][8] as such, it is sometimes considered theNobel Prize of mathematics.[9] It comes with a medal and a monetary award of 7.5 millionNorwegian kroner (NOK, aboutUS$873,000 in 2026; increased from 6 million NOK in 2019).

The Abel Prize's history dates back to 1899, when its establishment was proposed by the Norwegian mathematicianSophus Lie when he learned thatAlfred Nobel's plans for annual prizeswould not include a prize in mathematics. In 1902,King Oscar II of Sweden and Norway indicated his willingness to finance the creation of a mathematics prize to complement the Nobel Prizes, but the establishment of the prize was prevented by thedissolution of the union between Norway and Sweden in 1905. It took almost a century before the prize was finally established by the Government of Norway in 2001, and it was specifically intended "to give the mathematicians their own equivalent of a Nobel Prize."[7] The laureates are selected by the Abel Committee, the members of whom are appointed by theNorwegian Academy of Science and Letters.

The award ceremony takes place in theaula of theUniversity of Oslo, where theNobel Peace Prize was awarded between 1947 and 1989.[10] The Abel Prize board has also established an Abel symposium, administered by theNorwegian Mathematical Society, which takes place twice a year.[11]

History

[edit]

The prize was first proposed in 1899, to be part of the celebration of the 100th anniversary ofNiels Henrik Abel's birth in 1802.[12] The Norwegian mathematicianSophus Lie proposed establishing an Abel Prize when he learned thatAlfred Nobel's plans for annual prizes would not include a prize in mathematics.King Oscar II was willing to finance a mathematics prize in 1902, and the mathematiciansLudwig Sylow andCarl Størmer drew up statutes and rules for the proposed prize. However, Lie's influence decreased after his death, and thedissolution of the union between Sweden and Norway in 1905 ended the first attempt to create an Abel Prize.[12]

The prize is awarded in the aula of theDomus Media building of theUniversity of Oslo Faculty of Law, where theNobel Peace Prize was formerly awarded (it is now presented inOslo City Hall)

After interest in the concept of the prize had risen in 2001, a working group was formed to develop a proposal, which was presented to the Prime Minister of Norway in May. In August 2001, the Norwegian government announced that the prize would be awarded beginning in 2002, the two-hundredth anniversary of Abel's birth.Atle Selberg received an honorary Abel Prize in 2002, but the first actual Abel Prize was awarded in 2003.[12][13]

A book series presenting Abel Prize laureates and their research was commenced in 2010. The first three volumes cover the years 2003–2007, 2008–2012, and 2013–2017 respectively.[14][15][16]

In 2019,Karen Uhlenbeck became the first woman to win the Abel Prize, with the award committee citing "the fundamental impact of her work on analysis, geometry and mathematical physics.[17]TheBernt Michael Holmboe Memorial Prize was created in 2005. Named after Abel's teacher, it promotes excellence in teaching.[18]

Selection criteria and funding

[edit]

Anyone may submit a nomination for the Abel Prize, although self-nominations are not permitted. The nominee must be alive. If the awardee dies after being declared the winner, the prize will be awarded posthumously.

TheNorwegian Academy of Science and Letters declares the winner of the Abel Prize each March after recommendation by the Abel Committee, which consists of five leading mathematicians. Both Norwegians and non-Norwegians may serve on the Committee. They are elected by the Norwegian Academy of Science and Letters and nominated by theInternational Mathematical Union and theEuropean Mathematical Society.[12][19]

Funding

[edit]

The Norwegian Government gave the prize an initial funding of NOK 200 million (about €21.7 million[20]) in 2001. Previously, the funding came from the Abel foundation, but today the prize is financed directly through the national budget.

The funding is controlled by the Board, which consists of members elected by the Norwegian Academy of Science and Letters.[19] The current board consists ofIngrid Kristine Glad (chair), Aslak Bakke Buan, Helge K. Dahle, Kristin Vinje, Cordian Riener and Gunn Elisabeth Birkelund.[21]

Laureates

[edit]
YearLaureate(s)ImageInstitution(s)Citation
2003Jean-Pierre SerreJean-Pierre SerreCollège de France"For playing a key role in shaping the modern form of many parts of mathematics, includingtopology,algebraic geometry andnumber theory."[22]
2004Michael AtiyahMichael AtiyaUniversity of Edinburgh
University of Cambridge
"For their discovery and proof of theindex theorem, bringing togethertopology,geometry andanalysis, and their outstanding role in building new bridges between mathematics andtheoretical physics."[23]
Isadore SingerIsadore SingerMassachusetts Institute of Technology
University of California, Berkeley
2005Peter LaxPeter LaxCourant Institute (NYU)"For his groundbreaking contributions to the theory and application ofpartial differential equations and to the computation of their solutions."[24]
2006Lennart CarlesonLennart CarlesonRoyal Institute of Technology"For his profound and seminal contributions toharmonic analysis and the theory of smoothdynamical systems."[25]
2007S. R. Srinivasa VaradhanS. R. Srinivasa VaradhanCourant Institute (NYU)"For his fundamental contributions toprobability theory and in particular for creating a unifiedtheory of large deviation."[26]
2008John G. ThompsonJohn Griggs ThompsonUniversity of Florida"For their profound achievements inalgebra and in particular for shaping moderngroup theory."[27]
Jacques TitsJacques TitsCollège de France
2009Mikhail GromovMikhail Leonidovich GromovInstitut des Hautes Études Scientifiques[28]
Courant Institute (NYU)[29]
"For his revolutionary contributions to geometry."[30]
2010John TateJohn TateUniversity of Texas at Austin"For his vast and lasting impact on thetheory of numbers."[31]
2011John MilnorJohn MilnorStony Brook University"For pioneering discoveries intopology,geometry, andalgebra."[32]
2012Endre SzemerédiEndre SzemerediAlfréd Rényi Institute
Rutgers University
"For his fundamental contributions todiscrete mathematics andtheoretical computer science, and in recognition of the profound and lasting impact of these contributions onadditive number theory andergodic theory."[33]
2013Pierre DelignePierre DeligneInstitute for Advanced Study"For seminal contributions toalgebraic geometry and for their transformative impact onnumber theory,representation theory, and related fields."[34]
2014Yakov SinaiYakov G SinaiPrinceton University
Landau Institute for Theoretical Physics[35]
"For his fundamental contributions todynamical systems,ergodic theory, andmathematical physics."[36]
2015John F. Nash Jr.John Forbes Nash Jr.Princeton University"For striking and seminal contributions to the theory of nonlinearpartial differential equations and its applications togeometric analysis."[37]
Louis NirenbergLouis NirenbergCourant Institute (NYU)
2016Andrew WilesAndrew WilesUniversity of Oxford[38][39]"Forhis stunning proof ofFermat's Last Theorem by way of the modularity conjecture for semistable elliptic curves, opening a new era in number theory."[40]
2017Yves MeyerYves MeyerÉcole normale supérieure Paris-Saclay"For his pivotal role in the development of the mathematical theory ofwavelets."[41]
2018Robert LanglandsRobert LanglandsInstitute for Advanced Study"Forhis visionary program connecting representation theory to number theory."[42]
2019Karen UhlenbeckKaren UhlenbeckUniversity of Texas at Austin"For her pioneering achievements in geometric partial differential equations,gauge theory andintegrable systems, and for the fundamental impact of her work on analysis, geometry and mathematical physics."[43]
2020Hillel FurstenbergHillel (Harry) FurstenbergHebrew University of Jerusalem"For pioneering the use of methods fromprobability anddynamics ingroup theory,number theory andcombinatorics."[44]
Grigory MargulisGrigory MargulisYale University
2021László LovászLaszlo LovaszEötvös Loránd University"For their foundational contributions to theoretical computer science and discrete mathematics, and their leading role in shaping them into central fields of modern mathematics".[45]
Avi WigdersonAvi WigersonInstitute for Advanced Study
2022Dennis SullivanDennis SullivanStony Brook University
CUNY Graduate Center
"For his groundbreaking contributions to topology in its broadest sense, and in particular its algebraic, geometric and dynamical aspects."[46]
2023Luis CaffarelliLuis CaffarelliUniversity of Texas at Austin"For his seminal contributions to regularity theory for nonlinear partial differential equations including free-boundary problems and theMonge–Ampère equation."[47]
2024Michel TalagrandMichel TalagrandCentre national de la recherche scientifique"For his groundbreaking contributions to probability theory and functional analysis, with outstanding applications in mathematical physics and statistics."[48]
2025Masaki KashiwaraMasaki KashiwaraResearch Institute for Mathematical Sciences"For his fundamental contributions to algebraic analysis and representation theory, in particular the development of the theory ofD-modules and the discovery ofcrystal graphs."[49]

Distribution by country and proportion of dual nationals

[edit]

As for 2025, 11 out of 26 recipients were dual nationals.

Number of recipients and dual nationals by country (2003-2025).

See also

[edit]

References

[edit]
  1. ^"Statutes for Niels Henrik Abel's Prize in Mathematics (The Abel Prize)". Retrieved21 July 2022.
  2. ^Chang, Kenneth (20 March 2018)."Robert P. Langlands Is Awarded the Abel Prize, a Top Math Honor".The New York Times.Archived from the original on 3 April 2019. Retrieved23 March 2018.
  3. ^Dreifus, Claudia (29 March 2005)."From Budapest to Los Alamos, a Life in Mathematics".The New York Times.Archived from the original on 29 May 2015. Retrieved18 February 2017.
  4. ^Cipra, Barry A. (26 March 2009)."Russian Mathematician Wins Abel Prize".ScienceNOW.Archived from the original on 29 March 2009. Retrieved29 March 2009.
  5. ^Laursen, Lucas (26 March 2009)."Geometer wins maths 'Nobel'".Nature.doi:10.1038/news.2009.196.Archived from the original on 22 March 2019. Retrieved17 October 2012.
  6. ^Foderaro, Lisa W. (31 May 2009)."In N.Y.U.'s Tally of Abel Prizes for Mathematics, Gromov Makes Three".The New York Times.Archived from the original on 2 April 2019. Retrieved17 October 2012.
  7. ^abDevlin, Keith (April 2004)."Abel Prize Awarded: The Mathematicians' Nobel".Mathematical Association of America. Archived fromthe original on 27 August 2012. Retrieved4 November 2012.
  8. ^Piergiorgio Odifreddi; Arturo Sangalli (2006).The Mathematical Century: The 30 Greatest Problems of the Last 100 Years. Princeton University Press. p. 6.ISBN 0-691-12805-7.Archived from the original on 29 December 2016. Retrieved23 March 2016.
  9. ^"Abel Prize Awarded to Japanese Mathematician Who Abstracted Abstractions".The New York Times. 26 March 2025. Archived fromthe original on 16 September 2025. Retrieved5 December 2025.
  10. ^"University of Oslo". Oslo Opera House.Archived from the original on 3 August 2018. Retrieved22 December 2012.
  11. ^"Main Page". The Norwegian Academy of Science and Letters.Archived from the original on 18 June 2019. Retrieved26 July 2012.
  12. ^abcd"The History of the Abel Prize".www.abelprize.no. Retrieved21 July 2022.
  13. ^O'Connor, John J.;Robertson, Edmund F.,"Atle Selberg",MacTutor History of Mathematics Archive,University of St Andrews
  14. ^H. Holden;R. Piene, eds. (2010).The Abel Prize 2003–2007. Heidelberg: Springer.doi:10.1007/978-3-642-01373-7.ISBN 978-3-642-01372-0.Archived from the original on 1 November 2009. Retrieved28 August 2017.
  15. ^H. Holden;R. Piene, eds. (2014).The Abel Prize 2008–2012. Heidelberg: Springer.doi:10.1007/978-3-642-39449-2.ISBN 978-3-642-39449-2.Archived from the original on 21 February 2015. Retrieved28 August 2017.
  16. ^H. Holden;R. Piene, eds. (2019).The Abel Prize 2013–2017. Heidelberg: Springer.doi:10.1007/978-3-319-99028-6.ISBN 978-3-319-99027-9.S2CID 239378974.Archived from the original on 6 August 2019. Retrieved6 August 2019.
  17. ^Change, Kenneth (19 March 2019)."Karen Uhlenbeck Is First Woman to Receive Abel Prize in Mathematics".The New York Times.Archived from the original on 4 May 2019. Retrieved19 March 2019.
  18. ^"Abel Prize | mathematics award".Encyclopedia Britannica.Archived from the original on 26 January 2020. Retrieved19 May 2020.
  19. ^ab"Nomination Guidelines". The Norwegian Academy of Science and Letters. Archived fromthe original on 2 August 2018. Retrieved26 July 2012.
  20. ^"Google Currency Converter". Archived fromthe original on 28 March 2017. Retrieved27 March 2017.
  21. ^"The Abel Board".www.abelprize.no. Retrieved30 December 2022.
  22. ^"2003: Jean-Pierre Serre". The Norwegian Academy of Science and Letters. Retrieved21 July 2022.
  23. ^"2004: Sir Michael Francis Atiyah and Isadore M. Singer". The Norwegian Academy of Science and Letters. Retrieved21 July 2022.
  24. ^"2005: Peter D. Lax". The Norwegian Academy of Science and Letters. Retrieved21 July 2022.
  25. ^"2006: Lennart Carleson". The Norwegian Academy of Science and Letters. Retrieved21 July 2022.
  26. ^"2007: Srinivasa S. R. Varadhan". The Norwegian Academy of Science and Letters. Retrieved21 July 2022.
  27. ^"2008: John Griggs Thompson and Jacques Tits". The Norwegian Academy of Science and Letters. Retrieved21 July 2022.
  28. ^"The Abel Committee's Citation 2009". The Norwegian Academy of Science and Letters.Archived from the original on 22 August 2016. Retrieved9 August 2016.
  29. ^Foderaro, Lisa W. (31 May 2009)."In N.Y.U.'s Tally of Abel Prizes for Mathematics, Gromov Makes Three".The New York Times.Archived from the original on 2 April 2019. Retrieved17 October 2012.
  30. ^"2009: Mikhail Leonidovich Gromov". The Norwegian Academy of Science and Letters. Retrieved21 July 2022.
  31. ^"2010: John Torrence Tate". The Norwegian Academy of Science and Letters. Retrieved21 July 2022.
  32. ^"2011: John Milnor". The Norwegian Academy of Science and Letters. Retrieved21 July 2022.
  33. ^"2012: Endre Szemerédi". The Norwegian Academy of Science and Letters. Retrieved21 July 2022.
  34. ^"The Abel Prize Laureate 2013". The Norwegian Academy of Science and Letters. Retrieved21 July 2022.
  35. ^"The Abel Committee's Citation 2014". The Norwegian Academy of Science and Letters. Archived fromthe original on 22 August 2016. Retrieved9 August 2016.
  36. ^"2014: Yakov G. Sinai". The Norwegian Academy of Science and Letters. Retrieved21 July 2022.
  37. ^"2015: John F. Nash and Louis Nirenberg". The Norwegian Academy of Science and Letters. Retrieved21 July 2022.
  38. ^"The Abel Committee's Citation 2016". The Norwegian Academy of Science and Letters. Archived fromthe original on 2 August 2016. Retrieved9 August 2016.
  39. ^"Sir Andrew J. Wiles receives the Abel Prize" (Press release). The Norwegian Academy of Science and Letters. Archived fromthe original on 22 August 2016. Retrieved9 August 2016.
  40. ^"2016: Sir Andrew J. Wiles". The Norwegian Academy of Science and Letters. Retrieved21 July 2022.
  41. ^"2017: Yves Meyer". The Norwegian Academy of Science and Letters. Retrieved21 July 2022.
  42. ^"2018: Robert P. Langlands". The Norwegian Academy of Science and Letters. Retrieved21 July 2022.
  43. ^"2019: Karen Keskulla Uhlenbeck". The Norwegian Academy of Science and Letters. Retrieved21 July 2022.
  44. ^"2020: Hillel Furstenberg and Gregory Margulis". The Norwegian Academy of Science and Letters. Retrieved21 July 2022.
  45. ^"2021: László Lovász and Avi Wigderson".abelprize.no. Retrieved21 July 2022.
  46. ^"Prize winner 2022". The Norwegian Academy of Science and Letters. Retrieved25 March 2022.
  47. ^"Prize winner 2023". The Norwegian Academy of Science and Letters. Retrieved22 March 2023.
  48. ^"Prize winner 2024". The Norwegian Academy of Science and Letters. Retrieved20 March 2024.
  49. ^"Prize winner 2025". The Norwegian Academy of Science and Letters. Retrieved25 March 2025.

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