Sylvester Medal

{| class="wikitable sortable plainrowheaders" border="1" style="align:left;"

|+ {{sronly|List of recipients of the Sylvester Medal}}

!scope=col width=4px |Year

!scope=col class="unsortable" | Portrait

!scope=col width=180px |Name

!scope=col width=120px class="unsortable" |Nationality

!scope=col width=940 px class="unsortable" |Rationale

!scope=col width=2px class="unsortable" |Notes

|-

!scope=row | 1901

| File:PSM V82 D416 Henri Poincare.png ||align="center" |{{sortname|Henri|Poincaré}}||{{Flagdeco|France}} French||"For his many and important contributions to mathematical science."|| align="center" |{{Cite journal |date=14 November 1901 |title=Notes |url=https://www.biodiversitylibrary.org/page/28540195 |journal=Nature |volume=65 |issue=1672 |pages=34–38 |doi=10.1038/065034a0 |eissn=1476-4687 |access-date=1 July 2024 |via=Biodiversity Heritage Library |archive-date=1 July 2024 |archive-url=https://web.archive.org/web/20240701100849/https://www.biodiversitylibrary.org/page/28540195 |url-status=live }}

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!scope=row | 1904

| File:Georg Cantor2.jpg ||align="center" |{{sortname|Georg|Cantor}}||{{Flagdeco|Germany}} German||"For his researches in the theories of aggregates and of sets of points of the arithmetic continuum, of transfinite numbers, and Fourier's series." || align="center" |{{Cite journal |date=10 November 1904 |title=Notes |url=https://books.google.com/books?id=4JRFAAAAYAAJ&pg=PA35 |url-status=live |journal=Nature |volume=71 |issue=1828 |pages=35–39 |bibcode=1904Natur..71...35. |doi=10.1038/071035a0 |eissn=1476-4687 |archive-url=https://web.archive.org/web/20240613062148/https://books.google.com/books?id=4JRFAAAAYAAJ&pg=PA35#v=onepage&q&f=false |archive-date=13 June 2024 |access-date=1 July 2024 |via=Biodiversity Heritage Library}}

|-

!scope=row | 1907

| File:Wilhelm Wirtinger 1928.jpg ||align="center" |{{sortname|Wilhelm|Wirtinger|}}||{{Flagdeco|Austria}} Austrian||"For his contributions to the general theory of functions."|| align="center" |{{Cite journal |date=14 November 1907 |title=Notes |url=https://www.biodiversitylibrary.org/page/28538937 |journal=Nature |volume=77 |issue=1985 |pages=38–42 |doi=10.1038/077038a0 |bibcode=1907Natur..77...38. |eissn=1476-4687 |access-date=1 July 2024 |via=Biodiversity Heritage Library |archive-date=1 July 2024 |archive-url=https://web.archive.org/web/20240701100848/https://www.biodiversitylibrary.org/page/28538937 |url-status=live }}

|-

!scope=row | 1910

| File:Henry Frederick Baker.jpg ||align="center" |{{sortname|Henry Frederick|Baker}}||{{Flagdeco|United Kingdom}} British||"For his researches in the theory of Abelian functions and for his edition of Sylvester's 'Collected Works{{' "}}|| align="center" |{{Cite journal |date=10 November 1910 |title=Notes |url=https://www.nature.com/articles/085046a0.pdf |url-status=live |journal=Nature |volume=85 |issue=2141 |pages=46–51 |bibcode=1910Natur..85...46. |doi=10.1038/085046a0 |eissn=1476-4687 |archive-url=https://web.archive.org/web/20231118133746/https://www.nature.com/articles/085046a0.pdf |archive-date=18 November 2023 |access-date=1 July 2024 |doi-access=free}}

|-

!scope=row | 1913

| File:James Glaisher. Photogravure after J. Mayall. Wellcome V0026436.jpg ||align="center" |{{sortname|James Whitbread Lee|Glaisher}}||{{Flagdeco|United Kingdom}} British||"For his mathematical researches."|| align="center" |{{Cite journal |date=20 November 1913 |title=Notes |url=https://www.biodiversitylibrary.org/page/28492839 |journal=Nature |volume=92 |issue=2299 |pages=350–354 |doi=10.1038/092350a0 |bibcode=1913Natur..92..350. |eissn=1476-4687 |access-date=1 July 2024 |via=Biodiversity Heritage Library |archive-date=1 July 2024 |archive-url=https://web.archive.org/web/20240701100850/https://www.biodiversitylibrary.org/page/28492839 |url-status=live }}

|-

!scope=row | 1916

| File:Jean Gaston Darboux, ante 1917 - Accademia delle Scienze di Torino 0123 B.jpg ||align="center" |{{sortname|Jean Gaston|Darboux}}||{{Flagdeco|France}} French||"For his contributions to mathematical science."|| align="center" |{{Cite journal |date=16 November 1916 |title=Notes |url=https://www.biodiversitylibrary.org/page/28517186 |url-status=live |journal=Nature |volume=98 |issue=2455 |pages=212–215 |bibcode=1916Natur..98..212. |doi=10.1038/098212a0 |eissn=1476-4687 |archive-url=https://web.archive.org/web/20240607204024/https://www.biodiversitylibrary.org/page/28517186 |archive-date=7 June 2024 |access-date=1 July 2024 |via=Biodiversity Heritage Library}}

|-

!scope=row | 1919

| File:Percy MacMahon.jpg ||align="center" |{{sortname|Percy Alexander|MacMahon}}||{{Flagdeco|United Kingdom}} British||"For his researches in pure mathematics, especially in connection with the partition of numbers and analysis"|| align="center" |{{Cite journal |date=13 November 1919 |title=Notes |url=https://www.biodiversitylibrary.org/page/19300259 |journal=Nature |volume=104 |issue=2611 |pages=295–299 |doi=10.1038/104295a0 |bibcode=1919Natur.104..295. |eissn=1476-4687 |access-date=1 July 2024 |via=Biodiversity Heritage Library |archive-date=1 July 2024 |archive-url=https://web.archive.org/web/20240701100853/https://www.biodiversitylibrary.org/page/19300259 |url-status=live }}

|-

!scope=row | 1922

| File:Levi-civita.jpg ||align="center" |{{sortname|Tullio|Levi-Civita}}||{{Flagdeco|Italy}} Italian||"For his researches in geometry and mechanics"|| align="center" |{{Cite journal |date=18 November 1922 |title=Current Topics and Events |url=https://www.nature.com/articles/110674b0.pdf |url-status=live |journal=Nature |volume=110 |issue=2768 |pages=674–678 |bibcode=1922Natur.110R.674. |doi=10.1038/110674b0 |eissn=1476-4687 |archive-url=https://web.archive.org/web/20240613062457/https://www.nature.com/articles/110674b0.pdf |archive-date=13 June 2024 |access-date=1 July 2024 |doi-access=free}}{{Cite journal |date=1 December 1922 |title=Chemistry at the Boston Meeting of the American Association |url=https://www.science.org/doi/10.1126/science.56.1457.628 |journal=Science |volume=56 |issue=1457 |pages=629 |doi=10.1126/science.56.1457.628 |jstor=1648570 |bibcode=1922Sci....56..628. |url-access=subscription |access-date=1 July 2024 |jstor-access=free |archive-date=21 January 2024 |archive-url=https://web.archive.org/web/20240121231314/https://www.science.org/doi/10.1126/science.56.1457.628 |url-status=live }}

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!scope=row | 1925

| File:Alfred North Whitehead - cropped.jpg ||align="center" |{{sortname|Alfred North|Whitehead}}||{{Flagdeco|United Kingdom}} British||"For his researches on the foundations of mathematics"|| align="center" |{{Cite journal |date=14 November 1925 |title=Current Topics and Events |url=https://www.nature.com/articles/116722a0.pdf |journal=Nature |volume=116 |issue=2924 |pages=722–725 |doi=10.1038/116722a0 |eissn=1476-4687 |access-date=1 July 2024 |doi-access=free |bibcode=1925Natur.116..722. |archive-date=1 July 2024 |archive-url=https://web.archive.org/web/20240701100846/https://www.nature.com/articles/116722a0.pdf |url-status=live }}

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!scope=row | 1928

| File:William Henry Young.jpg ||align="center" |{{sortname|William Henry|Young}}||{{Flagdeco|United Kingdom}} British||"For his contributions to the theory of functions of a real variable"|| align="center" |{{Cite journal |date=10 November 1928 |title=News and Views |url=https://www.nature.com/articles/122738b0.pdf |url-status=live |journal=Nature |volume=122 |issue=3080 |pages=738–743 |bibcode=1928Natur.122R.738. |doi=10.1038/122738b0 |eissn=1476-4687 |archive-url=https://web.archive.org/web/20231116205143/https://www.nature.com/articles/122738b0.pdf |archive-date=16 November 2023 |access-date=1 July 2024 |doi-access=free}}{{Cite journal |date=April 1929 |title=Notes |url=https://www.ams.org/journals/bull/1929-35-02/S0002-9904-1929-04731-1/S0002-9904-1929-04731-1.pdf |journal=Bulletin of the American Mathematical Society |publisher=American Mathematical Society |volume=35 |issue=2 |pages=281 |doi=10.1090/S0002-9904-1929-04731-1 |eissn=1088-9485 |mr=1561728 |access-date=1 July 2024 |doi-access=free |archive-date=3 December 2023 |archive-url=https://web.archive.org/web/20231203124135/https://www.ams.org/journals/bull/1929-35-02/S0002-9904-1929-04731-1/S0002-9904-1929-04731-1.pdf |url-status=live }}

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!scope=row | 1931

| File:Edmund Taylor Whitakker by Arthur Trevor Haddon.jpg ||align="center" | {{sortname|Edmund Taylor|Whittaker}}||{{Flagdeco|United Kingdom}} British||"For his original contributions to both pure and applied mathematics"|| align="center" |{{Cite journal |date=14 November 1931 |title=News and Views |url=https://www.nature.com/articles/128821a0.pdf |journal=Nature |volume=128 |issue=3231 |pages=821–824 |doi=10.1038/128821a0 |eissn=1476-4687 |access-date=1 July 2024 |doi-access=free |bibcode=1931Natur.128..821. |archive-date=1 July 2024 |archive-url=https://web.archive.org/web/20240701102353/https://www.nature.com/articles/128821a0.pdf |url-status=live }}

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!scope=row | 1934

| || align="center" |{{sortname|Bertrand|Russell}}||{{Flagdeco|United Kingdom}} British||"For his distinguished work on the foundations of mathematics"|| align="center" |{{Cite journal |date=10 November 1934 |title=Medal Awards of the Royal Society |url=https://www.nature.com/articles/134727a0.pdf |url-status=live |journal=Nature |volume=134 |issue=3393 |pages=727 |bibcode=1934Natur.134Q.727. |doi=10.1038/134727a0 |eissn=1476-4687 |archive-url=https://web.archive.org/web/20240607211038/https://www.nature.com/articles/134727a0.pdf |archive-date=7 June 2024 |access-date=1 July 2024 |doi-access=free}}{{Cite journal |date=January 1935 |title=Notes |url=https://www.ams.org/journals/bull/1935-41-01/S0002-9904-1935-06030-6/S0002-9904-1935-06030-6.pdf |journal=Bulletin of the American Mathematical Society |publisher=American Mathematical Society |volume=41 |issue=1 |pages=15–18 |doi=10.1090/S0002-9904-1935-06030-6 |eissn=1088-9485 |mr=1563019 |access-date=1 July 2024 |doi-access=free |archive-date=3 December 2023 |archive-url=https://web.archive.org/web/20231203055552/https://www.ams.org/journals/bull/1935-41-01/S0002-9904-1935-06030-6/S0002-9904-1935-06030-6.pdf |url-status=live }}

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!scope=row | 1937

| File:AugustusEdwardHoughLove.jpg ||align="center" |{{sortname|Augustus Edward Hough|Love}}||{{Flagdeco|United Kingdom}} British||"In recognition of his researches in classical mathematical physics"|| align="center" | {{Cite journal |date=13 November 1937 |title=Royal Society Medallists and Officers |url=https://www.nature.com/articles/140840a0.pdf |journal=Nature |volume=140 |issue=3550 |pages=840 |doi=10.1038/140840a0 |eissn=1476-4687 |access-date=1 July 2024 |doi-access=free|bibcode=1937Natur.140Q.840. }}

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!scope=row | 1940

| File:Godfrey Harold Hardy 1.jpg ||align="center" |{{sortname|Godfrey Harold|Hardy}}||{{Flagdeco|United Kingdom}} British||"For his important contributions to many branches of pure mathematics."|| align="center" |{{Cite journal |date=23 November 1940 |title=Royal Society Medallists |url=https://www.nature.com/articles/146679a0.pdf |url-status=live |journal=Nature |volume=146 |issue=3708 |pages=679 |bibcode=1940Natur.146Q.679. |doi=10.1038/146679a0 |eissn=1476-4687 |archive-url=https://web.archive.org/web/20231117184246/https://www.nature.com/articles/146679a0.pdf |archive-date=17 November 2023 |access-date=1 July 2024 |doi-access=free}}

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!scope=row | 1943

| File:John Edensor Littlewood.jpg ||align="center" |{{sortname|John Edensor|Littlewood}}||{{Flagdeco|United Kingdom}} British||"For his mathematical discoveries and supreme insight in the analytical theory of numbers."|| align="center" |{{Cite journal |date=13 November 1943 |title=Royal Society: Medal Awards |url=https://www.nature.com/articles/152559b0.pdf |journal=Nature |volume=152 |issue=3863 |pages=559 |doi=10.1038/152559b0 |eissn=1476-4687 |access-date=1 July 2024 |doi-access=free|bibcode=1943Natur.152R.559. }}

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!scope=row | 1946

| align="center" |— ||align="center" | {{sortname|George Neville|Watson}}||{{Flagdeco|United Kingdom}} British||"For his distinguished contributions to pure mathematics in the field of mathematical analysis and in particular for his work on asymptotic expansion and on general transforms.|| align="center" |{{Cite journal |date=30 November 1946 |title=Royal Society – Medal Awards |url=https://www.nature.com/articles/158781b0.pdf |url-status=live |journal=Nature |volume=158 |issue=4022 |pages=781 |bibcode=1946Natur.158R.781. |doi=10.1038/158781b0 |eissn=1476-4687 |archive-url=https://web.archive.org/web/20231118143422/https://www.nature.com/articles/158781b0.pdf |archive-date=18 November 2023 |access-date=1 July 2024 |doi-access=free}}

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!scope=row | 1949

| File:Louis Mordell.jpeg ||align="center" |{{sortname|Louis Joel|Mordell}}||{{Flagdeco|United Kingdom}} British||"For his distinguished researches in pure mathematics, especially for his discoveries in the theory of numbers."|| align="center" |{{Cite journal |date=12 November 1949 |title=News and Views |url=https://www.nature.com/articles/164819b0.pdf |journal=Nature |volume=164 |issue=4176 |pages=819 |doi=10.1038/164819b0 |eissn=1476-4687 |access-date=1 July 2024 |doi-access=free |archive-date=1 July 2024 |archive-url=https://web.archive.org/web/20240701100849/https://www.nature.com/articles/164819b0.pdf |url-status=live }}

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!scope=row | 1952

| align="center" |— ||align="center" | {{sortname|Abram Samoilovitch|Besicovitch}}||{{Flagdeco|Russia}} Russian||"For his outstanding work on almost-periodic functions, the theory of measure and integration and many other topics of theory of functions."|| align="center" |{{Cite journal |date=15 November 1952 |title=Royal Society – Awards of Medals |url=https://www.nature.com/articles/170826a0.pdf |url-status=live |journal=Nature |volume=170 |issue=4333 |pages=826 |bibcode=1952Natur.170Q.826. |doi=10.1038/170826a0 |eissn=1476-4687 |archive-url=https://web.archive.org/web/20240613064337/https://www.nature.com/articles/170826a0.pdf |archive-date=13 June 2024 |access-date=1 July 2024 |doi-access=free}}

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!scope=row | 1955

| align="center" |— ||align="center" | {{sortname|Edward Charles|Titchmarsh}}||{{Flagdeco|United Kingdom}} British||"For his distinguished researches on the Riemann zeta-function, analytical theory of numbers, Fourier analysis, and eigenfunction expansions."|| align="center" |{{cite web |last1=O'Connor |first1=J. J. |last2=Robertson |first2=E. F. |author-link2=Edmund F. Robertson |date=October 2003 |title=Edward Charles Titchmarsh |url=https://mathshistory.st-andrews.ac.uk/Biographies/Titchmarsh/ |access-date=1 July 2024 |website=MacTutor History of Mathematics Archive |publisher=University of St Andrews |archive-date=11 December 2023 |archive-url=https://web.archive.org/web/20231211211156/https://mathshistory.st-andrews.ac.uk/Biographies/Titchmarsh/ |url-status=live }}

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!scope=row | 1958

| File:Max Newman.jpg ||align="center" |{{sortname|Max|Newman}}||{{Flagdeco|United Kingdom}} British||"for his distinguished contributions to combinatory topology, Boolean algebras and mathematical logic."|| align="center" |{{Cite journal |date=15 November 1958 |title=Royal Society – Medal Awards |url=https://archive.org/details/dli.calcutta.07191/page/1344/mode/2up?view=theater |journal=Nature |volume=182 |issue=4646 |pages=1344–1345 |bibcode=1958Natur.182R1344. |doi=10.1038/1821344b0 |eissn=1476-4687 |access-date=1 July 2024 |via=Internet Archive}}

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!scope=row | 1961

| File:Philip Hall.jpg ||align="center" |{{sortname|Philip|Hall}}||{{Flagdeco|United Kingdom}} British||"For his distinguished researches in algebra."|| align="center" |{{Cite journal |date=31 May 1962 |title=Society's Notes |url=https://royalsocietypublishing.org/doi/10.1098/rsnr.1962.0009 |journal=Notes and Records of the Royal Society of London |publisher=Royal Society |volume=17 |issue=1 |pages=96–99 |doi=10.1098/rsnr.1962.0009 |eissn=1743-0178 |jstor=531017 |access-date=1 July 2024 |archive-date=1 July 2024 |archive-url=https://web.archive.org/web/20240701195451/https://royalsocietypublishing.org/doi/10.1098/rsnr.1962.0009 |url-status=live }}

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!scope=row | 1964

| File:Mary cartwright.jpg ||align="center" |{{sortname|Mary|Cartwright}}||{{Flagdeco|United Kingdom}} British||"For her distinguished contributions to analysis and the theory of functions of a real and complex variable."|| align="center" |{{Cite journal |date=21 November 1964 |title=The Royal Society of London – Medal Awards |url=https://www.nature.com/articles/204728a0.pdf |url-status=live |journal=Nature |volume=204 |issue=4960 |pages=728 |bibcode=1964Natur.204Q.728. |doi=10.1038/204728a0 |eissn=1476-4687 |archive-url=https://web.archive.org/web/20240607204031/https://www.nature.com/articles/204728a0.pdf |archive-date=7 June 2024 |access-date=1 July 2024 |doi-access=free}}

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!scope=row | 1967

| File:HaroldDavenport 1931 MFO9219.jpg ||align="center" |{{sortname|Harold|Davenport}}||{{Flagdeco|United Kingdom}} British|| "For his many distinguished contributions to the theory of numbers."|| align="center" |{{Cite journal |date=30 June 1968 |title=The Society's Notes |url=https://royalsocietypublishing.org/doi/10.1098/rsnr.1968.0014 |journal=Notes and Records of the Royal Society of London |publisher=Royal Society |volume=23 |issue=1 |pages=105 |doi=10.1098/rsnr.1968.0014 |eissn=1476-4687 |jstor=530856 |access-date=1 July 2024}}

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!scope=row | 1970

| align="center" |— ||align="center" | {{sortname|George Frederick James|Temple}}||{{Flagdeco|United Kingdom}} British||"For his many distinguished contributions to applied mathematics, especially in his work on distribution theory."|| align="center" |{{Cite journal |date=30 June 1971 |title=The Society's Notes |url=https://royalsocietypublishing.org/doi/abs/10.1098/rsnr.1971.0011 |url-status=live |journal=Notes and Records of the Royal Society of London |publisher=Royal Society |volume=26 |issue=1 |pages=113–118 |doi=10.1098/rsnr.1971.0011 |eissn=1476-4687 |jstor=531058 |s2cid=202574906 |archive-url=https://web.archive.org/web/20240607204029/https://royalsocietypublishing.org/doi/abs/10.1098/rsnr.1971.0011 |archive-date=7 June 2024 |access-date=1 July 2024}}

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!scope=row | 1973

| align="center" |— ||align="center" | {{sortname|John William Scott|Cassels}}||{{Flagdeco|United Kingdom}} British|| "For his numerous important contributions to the theory of numbers."|| align="center" |{{cite web |last1=O'Connor |first1=J. J. |last2=Robertson |first2=E. F. |author-link2=Edmund F. Robertson |date=September 2009 |title=John William Scott Cassels |url=https://mathshistory.st-andrews.ac.uk/Biographies/Cassels/ |access-date=1 July 2024 |website=MacTutor History of Mathematics Archive |publisher=University of St Andrews |archive-date=27 May 2024 |archive-url=https://web.archive.org/web/20240527084019/https://mathshistory.st-andrews.ac.uk/Biographies/Cassels/ |url-status=live }}

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!scope=row | 1976

| File:David Kendall.jpg ||align="center" |{{sortname|David George|Kendall}}||{{Flagdeco|United Kingdom}} British|| "For his many distinguished contributions to probability theory and its applications."|| align="center" |{{Cite journal |date=2 December 1976 |title=Announcements |url=https://archive.org/details/dli.calcutta.07286/page/490/mode/2up?view=theater |journal=Nature |volume=264 |issue=5585 |pages=491–492 |bibcode=1976Natur.264..491. |doi=10.1038/264491a0 |eissn=1476-4687 |access-date=1 July 2024 |via=Internet Archive}}

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!scope=row | 1979

| File:Graham Higman.jpg ||align="center" | {{sortname|Graham|Higman}}||{{Flagdeco|United Kingdom}} British|| "For his distinguished and profoundly influential contributions to the theory of finite and infinite groups.|| align="center" |{{Cite journal |date=31 July 1977 |title=The Society's Notes |url=https://royalsocietypublishing.org/doi/10.1098/rsnr.1977.0009 |journal=Notes and Records of the Royal Society of London |publisher=Royal Society |volume=32 |issue=1 |pages=107–112 |doi=10.1098/rsnr.1977.0009 |eissn=1476-4687 |jstor=531768 |access-date=1 July 2024 |archive-date=7 June 2024 |archive-url=https://web.archive.org/web/20240607204032/https://royalsocietypublishing.org/doi/10.1098/rsnr.1977.0009 |url-status=live }}

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!scope=row | 1982

| File:Puppe Adams.jpg ||align="center" | {{sortname|John Frank|Adams}}||{{Flagdeco|United Kingdom}} British||"For his solution of several outstanding problems of algebraic topology and of the methods he invented for this purpose which have proved of prime importance in the theory of the subject."|| align="center" |{{Cite journal |last1=Huxley |first1=Andrew |author-link=Andrew Huxley |date=22 January 1983 |title=Address of the President Sir Andrew Huxley at the Anniversary Meeting, 30 November 1982 |url=https://royalsocietypublishing.org/doi/10.1098/rspb.1983.0001 |url-status=live |journal=Proceedings of the Royal Society of London |publisher=Royal Society |volume=217 |issue=1207 |pages=117–128 |bibcode=1983RSPSB.217..117. |doi=10.1098/rspb.1983.0001 |jstor=2397469 |pmid=6132388 |s2cid=202575411 |archive-url=https://web.archive.org/web/20240607204028/https://royalsocietypublishing.org/doi/10.1098/rspb.1983.0001 |archive-date=7 June 2024 |access-date=1 July 2024}}

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!scope=row | 1985

| File:John Griggs Thompson.jpg ||align="center" | {{sortname|John Griggs|Thompson}}||{{Flagdeco|United States}} American||"For his fundamental contributions leading to the complete classification of all finite simple groups."|| align="center" |{{Cite journal |last1=Huxley |first1=Andrew |author-link=Andrew Huxley |date=9 June 1986 |title=The award of medals by the President, Sir Andrew Huxley, O.M., at the Anniversary Meeting, 30 November 1985 |url=https://royalsocietypublishing.org/doi/10.1098/rspa.1986.0048 |journal=Proceedings of the Royal Society of London |publisher=Royal Society |volume=405 |issue=1829 |pages=183 |doi=10.1098/rspa.1986.0048 |jstor=2397973 |access-date=1 July 2024 |archive-date=1 July 2024 |archive-url=https://web.archive.org/web/20240701195452/https://royalsocietypublishing.org/doi/10.1098/rspa.1986.0048 |url-status=live }}

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!scope=row | 1988

| File:Charles Terence Clegg Wall (С. T. C. Wall), August 2006.jpeg ||align="center" | {{sortname|Charles T. C. |Wall|C. T. C. Wall}}||{{Flagdeco|United Kingdom}} British||"For his contributions to the topology of manifolds and related topics in algebra and geometry."|| align="center" |{{Cite journal |date=8 March 1989 |title=The Award of Medals by the President, Sir George Porter, at the Anniversary Meeting, 30 November 1988 |url=https://royalsocietypublishing.org/doi/10.1098/rspa.1989.0017 |url-status=live |journal=Proceedings of the Royal Society of London |publisher=Royal Society |volume=422 |issue=1862 |pages=1–6 |bibcode=1989RSPSA.422....1. |doi=10.1098/rspa.1989.0017 |jstor=2398521 |pmid=2565571 |s2cid=6423882 |archive-url=https://web.archive.org/web/20240607204027/https://royalsocietypublishing.org/doi/10.1098/rspa.1989.0017 |archive-date=7 June 2024 |access-date=1 July 2024}}{{Cite journal |date=September 1988 |title=Royal Society News |url=https://www.lms.ac.uk/sites/default/files/inline-files/153%20-%20Sept%201988.pdf |journal=The London Mathematical Society Newsletter |publisher=London Mathematical Society |issue=153 |pages=4 |eissn=2516-385X |access-date=1 July 2024 |archive-date=8 June 2023 |archive-url=https://web.archive.org/web/20230608192025/https://www.lms.ac.uk/sites/default/files/inline-files/153%20-%20Sept%201988.pdf |url-status=live }}

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!scope=row | 1991

| ||align="center" | {{sortname|Klaus Friedrich|Roth}}||{{Flagdeco|United Kingdom}} British||"For his many contributions to number theory and in particular his solution of the famous problem concerning approximating algebraic numbers by rationals."|| align="center" |{{Cite journal |last1=Atiyah |first1=Michael |author-link=Michael Atiyah |date=31 January 1993 |title=Address of the President, Sir Michael Atiyah, given at the Anniversary meeting on 29 November 1991 |url=https://royalsocietypublishing.org/doi/10.1098/rsnr.1992.0010 |journal=Notes and Records of the Royal Society of London |publisher=Royal Society |volume=46 |issue=1 |pages=166 |doi=10.1098/rsnr.1992.0010 |jstor=531447 |access-date=1 July 2024 |archive-date=1 July 2024 |archive-url=https://web.archive.org/web/20240701195452/https://royalsocietypublishing.org/doi/10.1098/rsnr.1992.0010 |url-status=live }}{{Cite journal |date=September 1991 |title=Royal Society News |url=https://www.lms.ac.uk/sites/default/files/inline-files/186%20-%20Sept%201991.pdf |journal=The London Mathematical Society Newsletter |publisher=London Mathematical Society |issue=186 |pages=7 |eissn=2516-385X |access-date=1 July 2024 |archive-date=29 May 2023 |archive-url=https://web.archive.org/web/20230529015506/https://www.lms.ac.uk/sites/default/files/inline-files/186%20-%20Sept%201991.pdf |url-status=live }}

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!scope=row | 1994

| align="center" |— ||align="center" | {{sortname|Peter|Whittle|Peter Whittle (mathematician)}}||{{Flagdeco|New Zealand}} New Zealander||"For his major distinctive contributions to time series analysis, to optimisation theory, and to a wide range of topics in applied probability theory and the mathematics of operational research."|| align="center" |{{Cite journal |last1=Atiyah |first1=Michael |author-link=Michael Atiyah |date=31 January 1995 |title=Address of the President, Sir Michael Atiyah, O.M., Given at the Anniversary Meeting on 30 November 1994 |url=https://royalsocietypublishing.org/doi/10.1098/rsnr.1995.0010 |url-status=live |journal=Notes and Records of the Royal Society of London |publisher=Royal Society |volume=49 |issue=1 |pages=148 |doi=10.1098/rsnr.1995.0010 |jstor=531890 |s2cid=202575185 |archive-url=https://web.archive.org/web/20240607204027/https://royalsocietypublishing.org/doi/10.1098/rsnr.1995.0010 |archive-date=7 June 2024 |access-date=1 July 2024}}{{Cite journal |date=September 1994 |title=Royal Society Medal |url=https://www.lms.ac.uk/sites/default/files/inline-files/219%20-%20Sept%201994_0.pdf |journal=The London Mathematical Society Newsletter |publisher=London Mathematical Society |issue=219 |pages=8 |eissn=2516-385X |access-date=1 July 2024 |archive-date=29 May 2023 |archive-url=https://web.archive.org/web/20230529030719/https://www.lms.ac.uk/sites/default/files/inline-files/219%20-%20Sept%201994_0.pdf |url-status=live }}

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!scope=row | 1997

| File:H.S.M. Coxeter.jpeg ||align="center" | {{sortname|Harold Scott MacDonald|Coxeter}}||{{Flagdeco|United Kingdom}} British
{{Flagdeco|Canada}} Canadian|| "For his achievements in geometry, notably projective geometry, non-euclidean geometry and the analysis of spatial shapes and patterns, and for his substantial contributions to practical group-theory which pervade much modern mathematics."|| align="center" |{{Cite web |date=24 May 2002 |title=Awards |url=https://www.timeshighereducation.com/features/awards/102820.article |url-access=subscription |access-date=1 July 2024 |website=Times Higher Education |issn=0049-3929 |archive-date=27 April 2019 |archive-url=https://web.archive.org/web/20190427182503/https://www.timeshighereducation.com/features/awards/102820.article |url-status=live }}{{Cite journal |date=December 1997 |title=Coxeter Receives Sylvester Medal |url=https://www.ams.org/journals/notices/199712/199712FullIssue.pdf?adat=%201997&trk=&cat=none&type=.pdf |journal=Notices of the American Mathematical Society |publisher=American Mathematical Society |volume=44 |issue=11 |pages=1479 |issn=0002-9920 |access-date=1 July 2024}}

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!scope=row | 2000

| File:Hitchin70.jpg ||align="center" | {{sortname|Nigel James|Hitchin}}||{{Flagdeco|United Kingdom}} British|| "For his important contributions to many parts of differential geometry combining this with complex geometry, integrable systems and mathematical physics interweaving the most modern ideas with the classical literature."|| align="center" |{{Cite journal |date=December 2000 |title=Sylvester Medal |url=https://www.lms.ac.uk/sites/default/files/inline-files/288%20-%20Dec%202000.pdf |journal=The London Mathematical Society Newsletter |publisher=London Mathematical Society |issue=288 |pages=2 |eissn=2516-385X |access-date=1 July 2024 |archive-date=8 June 2023 |archive-url=https://web.archive.org/web/20230608181000/https://www.lms.ac.uk/sites/default/files/inline-files/288%20-%20Dec%202000.pdf |url-status=live }}

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!scope=row | 2003

| File:Carleson cropped.jpg ||align="center" | {{sortname|Lennart|Carleson}}||{{Flagdeco|Sweden}} Swedish|| "For his deep and fundamental contributions to mathematics in the field of analysis and complex dynamics."|| align="center" |{{Cite journal |date=September 2003 |title=Sylvester Medal |url=https://www.lms.ac.uk/sites/lms.ac.uk/files/files/318%20-%20September%202003.pdf |journal=The London Mathematical Society Newsletter |publisher=London Mathematical Society |issue=318 |pages=8 |eissn=2516-385X |access-date=1 July 2024 |archive-date=7 March 2023 |archive-url=https://web.archive.org/web/20230307005456/https://www.lms.ac.uk/sites/lms.ac.uk/files/files/318%20-%20September%202003.pdf |url-status=live }}

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!scope=row | 2006

| File:Peter Swinnerton-Dyer.jpeg ||align="center" | {{sortname|Peter|Swinnerton-Dyer}}||{{Flagdeco|United Kingdom}} British|| "For his fundamental work in arithmetic geometry and his many contributions to the theory of ordinary differential equations."|| align="center" |{{Cite journal |date=November 2006 |title=Sylvester Medal |url=https://www.lms.ac.uk/sites/lms.ac.uk/files/files/353%20-%20November%202006.pdf |journal=The London Mathematical Society Newsletter |publisher=London Mathematical Society |issue=356 |pages=13 |eissn=2516-385X |access-date=1 July 2024 |archive-date=7 March 2023 |archive-url=https://web.archive.org/web/20230307005433/https://www.lms.ac.uk/sites/lms.ac.uk/files/files/353%20-%20November%202006.pdf |url-status=live }}{{Cite journal |last=Jackson |first=Allyn |date=October 2006 |title=Swinnerton-Dyer Receives Sylvester Medal |url=https://www.ams.org/notices/200609/people.pdf |journal=Notices of the American Mathematical Society |publisher=American Mathematical Society |volume=53 |issue=9 |pages=1062 |eissn=1088-9477 |access-date=1 July 2024}}

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!scope=row | 2009

| File:John M Ball 1983 (headshot).jpg ||align="center" | {{sortname|John M.|Ball}}||{{Flagdeco|United Kingdom}} British|| "For his seminal work in mechanics and nonlinear analysis and his encouragement of mathematical research in developing countries."|| align="center" |{{Cite web |date=6 August 2009 |title=Appointments |url=https://www.timeshighereducation.com/news/appointments/407625.article |url-access=subscription |access-date=1 July 2024 |website=Times Higher Education |issn=0049-3929 |archive-date=1 July 2024 |archive-url=https://web.archive.org/web/20240701195452/https://www.timeshighereducation.com/news/appointments/407625.article |url-status=live }}{{Cite journal |date=October 2009 |title=Sylvester Medal |url=https://www.lms.ac.uk/sites/lms.ac.uk/files/files/385%20-%20October%202009.pdf |journal=The London Mathematical Society Newsletter |publisher=London Mathematical Society |issue=385 |pages=3 |eissn=2516-385X |access-date=1 July 2024 |archive-date=7 March 2023 |archive-url=https://web.archive.org/web/20230307005438/https://www.lms.ac.uk/sites/lms.ac.uk/files/files/385%20-%20October%202009.pdf |url-status=live }}

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!scope=row | 2010

| File:Graeme Segal.jpeg ||align="center" | {{sortname|Graeme|Segal}}||{{Flagdeco|United Kingdom}} British|| "For his highly influential and elegant work on the development of topology, geometry and quantum field theory, bridging the gap between physics and pure mathematics."|| align="center" |{{Cite web |date=9 June 2010 |title=Graeme Segal awarded the 2010 Sylvester Medal |url=https://www.maths.ox.ac.uk/node/689 |access-date=1 July 2024 |website=Mathematical Institute, University of Oxford |archive-date=1 July 2024 |archive-url=https://web.archive.org/web/20240701195454/https://www.maths.ox.ac.uk/node/689 |url-status=live }}

|-

!scope=row | 2012

| align="center" |— ||align="center" | {{sortname|John Francis|Toland}}||{{Flagdeco|United Kingdom}} British
{{Flagdeco|Ireland}} Irish|| "For his original theorems and remarkable discoveries in nonlinear partial differential equations, including applications to water waves."|| align="center" |{{Cite web |title=Professor John Toland awarded Sylvester Medal |url=https://www.joh.cam.ac.uk/professor-john-toland-awarded-sylvester-medal |access-date=1 July 2024 |website=St John's College, Cambridge}}{{Cite journal |date=September 2012 |title=Royal Society Sylvester Medal |url=https://www.lms.ac.uk/sites/lms.ac.uk/files/files/417%20-%20Sep%202012.pdf |journal=The London Mathematical Society Newsletter |publisher=London Mathematical Society |issue=417 |pages=9 |eissn=2516-385X |access-date=1 July 2024 |archive-date=7 March 2023 |archive-url=https://web.archive.org/web/20230307005329/https://www.lms.ac.uk/sites/lms.ac.uk/files/files/417%20-%20Sep%202012.pdf |url-status=live }}

|-

!scope=row | 2014

| File:Ben Green.jpg || align="center" |{{sortname|Ben|Green|Ben_Green_(mathematician)}}||{{Flagdeco|United Kingdom}} British|| "For his famous result on primes in arithmetic progression, and his subsequent proofs of a number of spectacular theorems over the last five to ten years."|| align="center" |{{Cite web |date=5 August 2014 |title=Ben Green wins the Sylvester medal of the Royal Society |url=https://www.magd.ox.ac.uk/news/ben-green-wins-the-sylvester-medal-of-the-royal-society/ |access-date=1 July 2024 |website=Magdalen College, Oxford |archive-date=1 July 2024 |archive-url=https://web.archive.org/web/20240701195453/https://www.magd.ox.ac.uk/news/ben-green-wins-the-sylvester-medal-of-the-royal-society/ |url-status=live }}{{Cite journal |date=October 2015 |title=Green Awarded Sylvester Medal |url=https://www.ams.org/notices/201509/201509-full-issue.pdf |journal=Notices of the American Mathematical Society |publisher=American Mathematical Society |volume=62 |issue=9 |pages=1081 |eissn=1088-9477 |access-date=1 July 2024}}

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!scope=row | 2016

| File:Timothy Gowers Washington 2009.jpg ||align="center" | {{sortname|Timothy|Gowers}}||{{Flagdeco|United Kingdom}} British|| "For his groundbreaking results in the theory of Banach spaces, pure combinatorics, and additive number theory."|| align="center" |{{Cite web |date=19 July 2016 |title=Tim Gowers receives major maths awards |url=https://www.trin.cam.ac.uk/news/tim-gowers-receives-major-maths-awards/ |access-date=1 July 2024 |website=Trinity College, Cambridge |archive-date=1 July 2024 |archive-url=https://web.archive.org/web/20240701195459/https://www.trin.cam.ac.uk/news/tim-gowers-receives-major-maths-awards/ |url-status=live }}

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!scope=row | 2018

| File:Dusa McDuff, 1993 Oct (portioned).jpg ||align="center" | {{sortname|Dusa|McDuff}}||{{Flagdeco|United Kingdom}} British|| "For leading the development of the new field of symplectic geometry and topology."|| align="center" |{{Cite web |date=21 July 2018 |title=Dusa McDuff awarded Sylvester medal |url=https://www.mathunion.org/cwm/news-and-events/2018-07-21/dusa-mcduff-awarded-sylvester-medal |access-date=1 July 2024 |website=International Mathematics Union}}

|-

!scope=row | 2019

|File:Peter Sarnak (cropped).jpg ||align="center" |{{sortname|Peter|Sarnak}}||{{Flagdeco|United States}} American
{{Flagdeco|South Africa}} South African|| "For transformational contributions across number theory, combinatorics, analysis and geometry."|| align="center" |{{Cite web |last=Fuller-Wright |first=Liz |date=23 July 2019 |title=Peter Sarnak wins Royal Society Sylvester Medal |url=https://www.math.princeton.edu/news/peter-sarnak-wins-royal-society-sylvester-medal |access-date=1 July 2024 |website=Princeton University Department of Mathematics |archive-date=1 July 2024 |archive-url=https://web.archive.org/web/20240701195452/https://www.math.princeton.edu/news/peter-sarnak-wins-royal-society-sylvester-medal |url-status=live }}

|-

!scope=row | 2020

| File:Bryan Birch 2011 (cropped).png ||align="center" | {{sortname|Bryan John|Birch}}||{{Flagdeco|United Kingdom}} British|| "For driving the theory of elliptic curves, through the Birch-Swinnerton-Dyer conjecture and the theory of Heegner points."|| align="center" |{{Cite web |date=4 August 2020 |title=Bryan Birch awarded the Royal Society's Sylvester Medal for 2020 |url=https://www.maths.ox.ac.uk/node/36577 |access-date=1 July 2024 |website=Mathematical Institute, University of Oxford |archive-date=1 July 2024 |archive-url=https://web.archive.org/web/20240701195453/https://www.maths.ox.ac.uk/node/36577 |url-status=live }}

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!scope=row | 2021

| File:Frances Kirwan.jpg ||align="center" | {{sortname|Frances|Kirwan}}||{{Flagdeco|United Kingdom}} British|| "For her research on quotients in algebraic geometry, including links with symplectic geometry and topology, which has had many applications."|| align="center" |{{Cite web |date=24 August 2021 |title=Frances Kirwan awarded the Royal Society's Sylvester Medal for 2021 |url=https://www.maths.ox.ac.uk/node/39575 |access-date=1 July 2024 |website=Mathematical Institute, University of Oxford}}

|-

!scope=row | 2022

| File:Roger Heath-Brown.jpg ||align="center" | {{sortname|Roger|Heath-Brown}}||{{Flagdeco|United Kingdom}} British|| "For his many important contributions to the study of prime numbers and solutions to equations in integers."|| align="center" |{{Cite web |date=24 August 2022 |title=Roger Heath-Brown awarded the Sylvester Medal |url=https://www.maths.ox.ac.uk/node/61066 |access-date=1 July 2024 |website=Mathematical Institute, University of Oxford |archive-date=5 June 2023 |archive-url=https://web.archive.org/web/20230605212901/https://www.maths.ox.ac.uk/node/61066 |url-status=live }}

|-

!scope=row | 2023

| File:Miles Reid.jpeg ||align="center" | {{sortname|Miles|Reid}}||{{Flagdeco|United Kingdom}} British|| "For his exceptionally creative research and fundamental insights into higher-dimensional algebraic geometry, in particular the minimal model program for 3-folds, and for untiring work for the community of algebraic geometers."|| align="center" |{{Cite web |date=8 September 2023 |title=Sylvester Medal awarded to Miles Reid |url=https://www.lms.ac.uk/news/sylvester-2023 |access-date=1 July 2024 |website=London Mathematical Society |archive-date=30 January 2024 |archive-url=https://web.archive.org/web/20240130223508/https://www.lms.ac.uk/news/sylvester-2023 |url-status=live }}

|-

!scope=row | 2024

| File:Professor_Philip_Kumar_Maini_FRS.jpg ||align="center" |{{sortname|Philip|Maini}}||{{Flagdeco|United Kingdom}} British|| "For his contributions to mathematical biology, especially the interdisciplinary modelling of biomedical phenomena and systems."||align="center" |[https://royalsociety.org/medals-and-prizes/sylvester-medal/ Sylvester Medal 2024]

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• Awards, lectures and medals of the Royal Society
• List of mathematics awards

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Category:Awards of the Royal Society

Category:Mathematics awards

Category:Triennial events

Category:Awards established in 1901

Category:1901 in science