@prefix rdf: . @prefix dbpedia: . @prefix ns2: . dbpedia:Richard_Borcherds rdf:type ns2:Scientist110560637 . @prefix dbpedia-owl: . dbpedia:Richard_Borcherds rdf:type dbpedia-owl:Person , ns2:Person100007846 , ns2:LivingPeople . @prefix foaf: . dbpedia:Richard_Borcherds rdf:type foaf:Person , ns2:FellowsOfTheRoyalSociety , ns2:BritishMathematicians , ns2:GroupTheorists , dbpedia-owl:Scientist , , , ns2:FieldsMedalists . @prefix owl: . dbpedia:Richard_Borcherds rdf:type owl:Thing . @prefix dbpprop: . dbpedia:Richard_Borcherds dbpprop:name "Richard Borcherds"@en , "Borcherds, Richard"@en . @prefix xsd: . @prefix ns8: . dbpedia:Richard_Borcherds ns8:birthDate "1959-11-29"^^xsd:date ; ns8:birthPlace dbpedia:South_Africa , dbpedia:Cape_Town ; ns8:residence dbpedia:United_States , dbpedia:United_Kingdom ; ns8:almaMater dbpedia:University_of_Cambridge . @prefix ns9: . dbpedia:Richard_Borcherds ns9:doctoralAdvisor dbpedia:John_Horton_Conway . @prefix ns10: . dbpedia:Richard_Borcherds owl:sameAs ns10:Richard_Borcherds , ; foaf:name "Richard Borcherds" , "Richard Borcherds"@de ; foaf:surname "Borcherds"@de . @prefix ns11: . dbpedia:Richard_Borcherds foaf:page ns11:Richard_Borcherds ; dbpedia-owl:knownFor , dbpedia:Group_theory , dbpedia:Number_theory ; ns8:knownFor , dbpedia:Group_theory , dbpedia:Number_theory ; dbpedia-owl:doctoralAdvisor dbpedia:John_Horton_Conway ; dbpprop:reference , , . @prefix rdfs: . dbpedia:Richard_Borcherds rdfs:label "Richard Borcherds"@de , "Richard Ewen Borcherds"@sv , "\u30EA\u30C1\u30E3\u30FC\u30C9\u30FB\u30DC\u30FC\u30C1\u30E3\u30FC\u30BA"@ja , "Richard Borcherds"@fi , "Richard Ewen Borcherds"@es , "Richard Borcherds"@en , "Richard Ewen Borcherds"@fr ; dbpedia-owl:thumbnail ; dbpedia-owl:birthDate "1959-11-29"^^xsd:date ; dbpedia-owl:birthPlace dbpedia:South_Africa , dbpedia:Cape_Town ; dbpedia-owl:residence dbpedia:United_Kingdom , dbpedia:United_States ; dbpedia-owl:almaMater dbpedia:University_of_Cambridge ; dbpprop:abstract "Richard E. Borcherds es un matem\u00E1tico que trabaja actualmente en Berkeley. Pas\u00F3 su infancia en Birmingham. En 1977 obtuvo medalla de plata en la olimpiada internacional de matem\u00E1ticas, y al a\u00F1o siguiente obtuvo la medalla de oro. El 28 de agosto de 1998 recibi\u00F3 la Medalla Fields por demostrar la conjetura moonshine, que es el centro del campo de investigaci\u00F3n llamado monstrous moonshine."@es , "\u30D5\u30A1\u30A4\u30EB:Richard Borcherds. jpg \u30EA\u30C1\u30E3\u30FC\u30C9\u30FB\u30DC\u30FC\u30C1\u30E3\u30FC\u30BA \u30EA\u30C1\u30E3\u30FC\u30C9\u30FB\u30DC\u30FC\u30C1\u30E3\u30FC\u30BA (Richard Ewen Borcherds, 1959\u5E74 -) \u306F\u3001\u5357\u30A2\u30D5\u30EA\u30AB\u5171\u548C\u56FD\u30B1\u30FC\u30D7\u30BF\u30A6\u30F3\u51FA\u8EAB\u306E\u30A4\u30AE\u30EA\u30B9\u306E\u6570\u5B66\u8005\u3067\u3042\u308B\u3002\u30B3\u30ED\u30F3\u30D3\u30A2\u5927\u5B66\u5352\u3002\u30B1\u30F3\u30D6\u30EA\u30C3\u30B8\u5927\u5B66\u3067\u30B8\u30E7\u30F3\u30FB\u30B3\u30F3\u30A6\u30A7\u30A4\u306E\u3082\u3068\u5B66\u4F4D\u3092\u53D6\u5F97\u3002 \u73FE\u5728\u3001\u30AB\u30EA\u30D5\u30A9\u30EB\u30CB\u30A2\u5927\u5B66\u30D0\u30FC\u30AF\u30EC\u30FC\u6821\u306E\u6570\u5B66\u306E\u6559\u6388\u3067\u3001 \u9802\u70B9\u4F5C\u7528\u7D20\u4EE3\u6570\u306E\u69CB\u6210\u3001\u30DC\u30FC\u30C1\u30E3\u30FC\u30BA\u7A4D\u306E\u69CB\u6210 \uFF08\u7121\u9650\u7A4D\u306B\u3088\u308B\u76F4\u4EA4\u7FA4<math>O_{2,n}(\\mathbb{R})</math>\u4E0A\u306E\u4FDD\u578B\u5F62\u5F0F\u306E\u7406\u8AD6\u3002\u3055\u3089\u306B\u306F\u30E2\u30B8\u30E5\u30E9\u30A4\u7A7A\u9593\u3068\u306E\u95A2\u9023\uFF09 \u30E0\u30FC\u30F3\u30B7\u30E3\u30A4\u30F3\u4E88\u60F3\u306E\u89E3\u6C7A\u306B\u3088\u308A\u3001\u6570\u5B66\u306E\u30CE\u30FC\u30D9\u30EB\u8CDE\u3068\u8A00\u308F\u308C\u3066\u3044\u308B\u30D5\u30A3\u30FC\u30EB\u30BA\u8CDE\u3092\u30011998\u5E74\u306B\u53D7\u8CDE\u3057\u305F\u3002 1977\u5E74\u306E\u56FD\u969B\u6570\u5B66\u30AA\u30EA\u30F3\u30D4\u30C3\u30AF\u3067\u306F\u9280\u30E1\u30C0\u30EB\u3001\u7FCC\u5E74\u306E1978\u5E74\u3067\u306F\u91D1\u30E1\u30C0\u30EB\u3092\u7372\u5F97\u3057\u3066\u3044\u308B\u3002"@ja , "Richard Ewen Borcherds (born 29 November, 1959) is a British mathematician specializing in lattices, number theory, group theory, and infinite-dimensional algebras. He was awarded the Fields Medal in 1998."@en , "Richard Ewen Borcherds ist ein englischer Mathematiker, der auf den Gebieten Gruppentheorie, Zahlentheorie und Geometrie arbeitet, speziell \u00FCber Gitter und unendlich dimensionale Algebren."@de , "Richard Ewen Borcherds est un math\u00E9maticien connu pour ses travaux en th\u00E9orie des groupes et en alg\u00E8bre de Lie. Il a fait ses \u00E9tudes \u00E0 la King Edward's School \u00E0 Birmingham, puis ensuite \u00E0 l'universit\u00E9 de Cambridge, o\u00F9 il suivait les cours de John Horton Conway. Apr\u00E8s avoir obtenu son doctorat, il a occup\u00E9 divers postes \u00E0 Cambridge et \u00E0 l'universit\u00E9 de Californie - Berkeley, o\u00F9 il est actuellement professeur en math\u00E9matiques. Borcherds est particuli\u00E8rement connu pour son travail reliant la th\u00E9orie des groupes finis \u00E0 d'autres secteurs des math\u00E9matiques. En particulier, il inventa la notion d'alg\u00E8bre vertex, qui est utilis\u00E9e dans la preuve de la conjecture Conway-Norton. Ce r\u00E9sultat est li\u00E9 \u00E0 la th\u00E9orie des repr\u00E9sentations du groupe Monstre, un groupe fini dont la structure n'avait jusque l\u00E0 pas \u00E9t\u00E9 bien comprise. Ces derni\u00E8res ann\u00E9es, Borcherds a essay\u00E9 de construire la th\u00E9orie quantique des champs d'une fa\u00E7on math\u00E9matiquement rigoureuse. En 1998 au 23 Congr\u00E8s international de math\u00E9matiques \u00E0 Berlin, il a re\u00E7u la m\u00E9daille Fields."@fr , "Richard Ewen Borcherds on brittil\u00E4inen matemaatikko, joka on erikoistunut lukuteoriaan, ryhm\u00E4teoriaan sek\u00E4 \u00E4\u00E4rellisen ryhm\u00E4n teoriaan, h\u00E4net on palkittu Fieldsin mitalilla vuonna 1998."@fi , "Richard Ewen Borcherds, f\u00F6dd 1959 i Kapstaden, \u00E4r en brittisk matematiker. Han arbetar huvudsakligen med gruppteori och talteori. Borcherds studerade under John Conway i Cambridge, och \u00E4r idag professor vid University of California at Berkeley. Han \u00E4r k\u00E4nd f\u00F6r att ha introducerat begreppet vertexalgebra, vilket han senare anv\u00E4nde f\u00F6r att bevisa Conway-Nortons f\u00F6rmodan, som relaterar den s\u00E5 kallade monstergruppen med vissa modul\u00E4ra funktioner. Vertexalgebra anv\u00E4ndes ocks\u00E5 av Igor Frenkel, James Lepowsky och Arne Meurman f\u00F6r att konstruera en o\u00E4ndligtdimensionell graderad algebra som monstergruppen verkar p\u00E5. Borcherds erh\u00F6ll 1998 \u00E5rs Fieldsmedalj f\u00F6r bland annat dessa arbeten."@sv ; rdfs:comment "Richard Ewen Borcherds (born 29 November, 1959) is a British mathematician specializing in lattices, number theory, group theory, and infinite-dimensional algebras. He was awarded the Fields Medal in 1998."@en , "Richard Ewen Borcherds ist ein englischer Mathematiker, der auf den Gebieten Gruppentheorie, Zahlentheorie und Geometrie arbeitet, speziell \u00FCber Gitter und unendlich dimensionale Algebren."@de , "Richard Ewen Borcherds est un math\u00E9maticien connu pour ses travaux en th\u00E9orie des groupes et en alg\u00E8bre de Lie. Il a fait ses \u00E9tudes \u00E0 la King Edward's School \u00E0 Birmingham, puis ensuite \u00E0 l'universit\u00E9 de Cambridge, o\u00F9 il suivait les cours de John Horton Conway. Apr\u00E8s avoir obtenu son doctorat, il a occup\u00E9 divers postes \u00E0 Cambridge et \u00E0 l'universit\u00E9 de Californie - Berkeley, o\u00F9 il est actuellement professeur en math\u00E9matiques."@fr , "Richard E. Borcherds es un matem\u00E1tico que trabaja actualmente en Berkeley. Pas\u00F3 su infancia en Birmingham. En 1977 obtuvo medalla de plata en la olimpiada internacional de matem\u00E1ticas, y al a\u00F1o siguiente obtuvo la medalla de oro. El 28 de agosto de 1998 recibi\u00F3 la Medalla Fields por demostrar la conjetura moonshine, que es el centro del campo de investigaci\u00F3n llamado monstrous moonshine."@es , "\u30D5\u30A1\u30A4\u30EB:Richard Borcherds."@ja , "Richard Ewen Borcherds, f\u00F6dd 1959 i Kapstaden, \u00E4r en brittisk matematiker. Han arbetar huvudsakligen med gruppteori och talteori. Borcherds studerade under John Conway i Cambridge, och \u00E4r idag professor vid University of California at Berkeley. Han \u00E4r k\u00E4nd f\u00F6r att ha introducerat begreppet vertexalgebra, vilket han senare anv\u00E4nde f\u00F6r att bevisa Conway-Nortons f\u00F6rmodan, som relaterar den s\u00E5 kallade monstergruppen med vissa modul\u00E4ra funktioner."@sv , "Richard Ewen Borcherds on brittil\u00E4inen matemaatikko, joka on erikoistunut lukuteoriaan, ryhm\u00E4teoriaan sek\u00E4 \u00E4\u00E4rellisen ryhm\u00E4n teoriaan, h\u00E4net on palkittu Fieldsin mitalilla vuonna 1998."@fi ; foaf:depiction ; foaf:givenname "Richard"@de . @prefix skos: . @prefix ns14: . dbpedia:Richard_Borcherds skos:subject ns14:British_mathematicians , ns14:Living_people , , ns14:Group_theorists , , ns14:Fields_Medalists , , ns14:Fellows_of_the_Royal_Society , , . @prefix ns15: . dbpedia:Richard_Borcherds dbpprop:wikiPageUsesTemplate ns15:infobox_scientist , ns15:persondata ; dbpprop:nationality "British"@en . @prefix ns16: . dbpedia:Richard_Borcherds dbpprop:birthDate ns16:birth_date_and_age ; dbpprop:birthPlace dbpedia:Cape_Town , dbpedia:South_Africa ; dbpprop:almaMater dbpedia:University_of_Cambridge ; dbpprop:field dbpedia:Mathematician ; dbpprop:residence dbpedia:United_Kingdom , dbpedia:United_States ; dbpprop:societies dbpedia:Royal_Society ; dbpprop:workInstitution , dbpedia:University_of_Cambridge ; dbpprop:shortDescription dbpedia:Mathematician ; dbpprop:knownFor , dbpedia:Group_theory , dbpedia:Number_theory ; dbpprop:doctoralAdvisor dbpedia:John_Horton_Conway ; dbpprop:prizes dbpedia:Fields_Medal ; dbpprop:erdosNumber dbpedia:Erdos_number . @prefix ns17: . dbpedia:Richard_Borcherds dbpprop:hasPhotoCollection ns17:Richard_Borcherds . @prefix ns18: . dbpedia:Richard_Borcherds dbpprop:wordnet_type ns18:synset-scientist-noun-1 . dbpedia:John_Horton_Conway ns9:doctoralStudent dbpedia:Richard_Borcherds ; dbpedia-owl:doctoralStudent dbpedia:Richard_Borcherds ; dbpprop:doctoralStudents dbpedia:Richard_Borcherds . dbpprop:redirect dbpedia:Richard_Borcherds , dbpedia:Richard_Borcherds . dbpedia:Richard_Ewen_Borcherds dbpprop:redirect dbpedia:Richard_Borcherds . @prefix yago: . yago:Richard_Borcherds owl:sameAs dbpedia:Richard_Borcherds .