This HTML5 document contains 202 embedded RDF statements represented using HTML+Microdata notation.

The embedded RDF content will be recognized by any processor of HTML5 Microdata.

Namespace Prefixes

PrefixIRI
dbpedia-dehttp://de.dbpedia.org/resource/
dctermshttp://purl.org/dc/terms/
yago-reshttp://yago-knowledge.org/resource/
dbohttp://dbpedia.org/ontology/
foafhttp://xmlns.com/foaf/0.1/
n27https://global.dbpedia.org/id/
n31https://www.math.princeton.edu/facultypapers/mather/
yagohttp://dbpedia.org/class/yago/
dbthttp://dbpedia.org/resource/Template:
dbpedia-ruhttp://ru.dbpedia.org/resource/
schemahttp://schema.org/
n15http://arz.dbpedia.org/resource/
rdfshttp://www.w3.org/2000/01/rdf-schema#
n13http://www.ontologydesignpatterns.org/ont/dul/DUL.owl#
freebasehttp://rdf.freebase.com/ns/
dbpedia-pthttp://pt.dbpedia.org/resource/
n12https://www.princeton.edu/news/2017/02/22/
dbpedia-simplehttp://simple.dbpedia.org/resource/
n17http://viaf.org/viaf/
n20http://commons.wikimedia.org/wiki/Special:FilePath/
dbpedia-fahttp://fa.dbpedia.org/resource/
rdfhttp://www.w3.org/1999/02/22-rdf-syntax-ns#
n33https://web.math.princeton.edu/WebCV/
dbpedia-arhttp://ar.dbpedia.org/resource/
owlhttp://www.w3.org/2002/07/owl#
dbpedia-skhttp://sk.dbpedia.org/resource/
dbpedia-frhttp://fr.dbpedia.org/resource/
wikipedia-enhttp://en.wikipedia.org/wiki/
dbphttp://dbpedia.org/property/
provhttp://www.w3.org/ns/prov#
dbchttp://dbpedia.org/resource/Category:
xsdhhttp://www.w3.org/2001/XMLSchema#
wikidatahttp://www.wikidata.org/entity/
goldhttp://purl.org/linguistics/gold/
dbrhttp://dbpedia.org/resource/
n34http://data.bibliotheken.nl/id/thes/

Statements

Subject Item
dbr:John_N._Mather
rdf:type
dbo:Person wikidata:Q19088 yago:Person100007846 yago:CausalAgent100007347 n13:NaturalPerson yago:Wikicat21st-centuryMathematicians dbo:Species wikidata:Q901 dbo:Scientist yago:YagoLegalActor yago:YagoLegalActorGeo yago:Colleague109935990 yago:Organism100004475 yago:WikicatAmericanPeople dbo:Eukaryote yago:Peer109626238 yago:Object100002684 schema:Person yago:Associate109816771 yago:WikicatGuggenheimFellows yago:Scientist110560637 dbo:Animal wikidata:Q215627 yago:PhysicalEntity100001930 yago:LivingThing100004258 wikidata:Q729 wikidata:Q5 yago:Mathematician110301261 yago:Wikicat20th-centuryMathematicians yago:Whole100003553 owl:Thing yago:WikicatLivingPeople foaf:Person
rdfs:label
جون ماثر (رياضياتي) John Mather (Mathematiker) John Mather (matemático) John N. Mather Мазер, Джон Норман John N. Mather
rdfs:comment
John Norman Mather (* 9. Juni 1942 in Los Angeles, Kalifornien; † 28. Januar 2017 in Princeton, New Jersey) war ein US-amerikanischer Mathematiker, der sich mit Differentialtopologie beschäftigte, speziell der Singularitätentheorie („Katastrophentheorie“). Джон Норман Ма́зер (англ. John Norman Mather; 9 июня 1942, Лос-Анджелес, США — 28 января 2017, Принстон, Нью-Джерси, США) — американский математик, специалист в области теории особенностей гладких отображений и теории динамических систем (в частности, гамильтоновой механике). John Norman Mather (June 9, 1942 – January 28, 2017) was a mathematician at Princeton University known for his work on singularity theory and Hamiltonian dynamics. He was descended from Atherton Mather (1663–1734), a cousin of Cotton Mather. His early work dealt with the stability of smooth mappings between smooth manifolds of dimensions n (for the source manifold N) and p (for the target manifold P). He determined the precise dimensions (n,p) for which smooth mappings are stable with respect to smooth equivalence by diffeomorphisms of the source and target (i.e., infinitely differentiable coordinate changes). جون ماثر (بالإنجليزية: John N. Mather)‏ (و. 1942 – 2017 م) هو رياضياتي، وأستاذ جامعي أمريكي، ولد في لوس أنجلوس، كان عضوًا في الأكاديمية الوطنية للعلوم، توفي في برينستون، عن عمر يناهز 75 عاماً. John Norman Mather (Los Angeles, 9 de junho de 1942 – Princeton, 28 de janeiro de 2017) foi um matemático estadunidense conhecido por seu trabalho em teoria das singularidades e mecânica hamiltoniana. Foi palestrante convidado do Congresso Internacional de Matemáticos em Vancouver (1974: Foliations and local homology groups of diffeomorphisms) e em Berkeley (1986: Dynamics of area preserving mappings). John Norman Mather (9 juin 1942 - 28 janvier 2017) est un mathématicien de l'Université de Princeton connu pour ses travaux sur la théorie de la singularité et la dynamique hamiltonienne.
foaf:depiction
n20:John_N_Mather.jpg
dbo:birthPlace
dbr:Los_Angeles,_California
dbo:deathPlace
dbr:Princeton,_New_Jersey
dbp:deathPlace
dbr:Princeton,_New_Jersey
dbo:deathDate
2017-01-28
dbp:birthPlace
dbr:Los_Angeles,_California
dbo:birthDate
1942-06-09
dcterms:subject
dbc:21st-century_American_mathematicians dbc:Harvard_University_alumni dbc:Institute_for_Advanced_Study_visiting_scholars dbc:Dynamical_systems_theorists dbc:2017_deaths dbc:Princeton_University_alumni dbc:Princeton_University_faculty dbc:Members_of_the_United_States_National_Academy_of_Sciences dbc:Recipients_of_the_Great_Cross_of_the_National_Order_of_Scientific_Merit_(Brazil) dbc:20th-century_American_mathematicians dbc:People_from_Los_Angeles dbc:Brouwer_Medalists dbc:Mathematicians_from_California dbc:1942_births
dbo:wikiPageID
1343987
dbo:wikiPageRevisionID
1058454905
dbo:wikiPageWikiLink
dbr:John_Milnor dbc:21st-century_American_mathematicians dbr:Smooth_function dbr:Hamilton–Jacobi_equation dbc:Institute_for_Advanced_Study_visiting_scholars dbc:Dynamical_systems_theorists dbr:Albert_Fathi dbr:Smooth_manifold dbr:Weak_KAM_theory dbr:Richard_McGehee dbr:Mather_spectrum dbr:Princeton_University_Press dbr:George_David_Birkhoff_Prize dbr:Princeton_University dbr:National_Academy_of_Sciences dbc:2017_deaths dbc:Princeton_University_alumni dbc:Princeton_University_faculty dbr:Brouwer_Medal dbr:Aubry–Mather_theory dbr:Royal_Dutch_Mathematical_Society dbr:Singularity_theory dbr:Portable_Document_Format dbr:Gustav_A._Hedlund dbc:Members_of_the_United_States_National_Academy_of_Sciences dbr:National_Order_of_Scientific_Merit_(Brazil) dbr:Pierre-Louis_Lions dbc:Recipients_of_the_Great_Cross_of_the_National_Order_of_Scientific_Merit_(Brazil) dbr:Mathematics dbr:Marston_Morse dbc:20th-century_American_mathematicians dbr:George_David_Birkhoff dbr:Mather_theory dbr:Topologically_stratified_space dbr:Michael_G._Crandall dbr:Diffeomorphism dbr:Giovanni_Forni_(mathematician) dbr:Viscosity_solution dbr:Princeton,_New_Jersey dbr:Institut_des_Hautes_Études_Scientifiques dbc:People_from_Los_Angeles dbr:Anosov_diffeomorphism dbr:Cotton_Mather dbc:Brouwer_Medalists dbr:Mathematical_Research_Institute_of_Oberwolfach dbr:Harvard_University dbr:Painlevé_conjecture dbr:List_of_members_of_the_National_Academy_of_Sciences dbr:Topology dbr:John_J._Carty_Award_for_the_Advancement_of_Science dbr:Arnold_diffusion dbc:Mathematicians_from_California dbr:Hamiltonian_dynamics dbr:René_Thom dbr:Brazilian_Order_of_Scientific_Merit dbr:Whitney_topology dbc:1942_births dbr:Los_Angeles,_California dbc:Harvard_University_alumni
dbo:wikiPageExternalLink
n12:john-mather-remembered-great-mathematician-dies-74 n31:notes_on_topological_stability.pdf n33:MatherBIB.pdf
owl:sameAs
n15:جون_ماثر dbpedia-sk:John_Norman_Mather dbpedia-fr:John_N._Mather dbpedia-simple:John_N._Mather dbpedia-pt:John_Mather_(matemático) yago-res:John_N._Mather dbpedia-fa:جان_ان._متری n27:45eFi wikidata:Q440717 dbpedia-ru:Мазер,_Джон_Норман dbpedia-de:John_Mather_(Mathematiker) freebase:m.04vbrk n17:282526928 n34:p072123737 dbpedia-ar:جون_ماثر_(رياضياتي)
dbp:workInstitution
dbr:Harvard_University dbr:Institut_des_Hautes_Études_Scientifiques Princeton University
dbp:wikiPageUsesTemplate
dbt:Death_date_and_age dbt:Short_description dbt:MathGenealogy dbt:Other_people dbt:Infobox_scientist dbt:Birth_date dbt:Reflist dbt:Third-party dbt:Authority_control
dbo:thumbnail
n20:John_N_Mather.jpg?width=300
dbp:almaMater
dbr:Harvard_University dbr:Princeton_University
dbp:birthDate
1942-06-09
dbp:birthName
John Norman Mather
dbp:caption
Mather at Oberwolfach in 2005
dbp:deathDate
2017-01-28
dbp:field
dbr:Mathematics
dbp:knownFor
Smooth functions dbr:Mather_theory dbr:Aubry–Mather_theory dbr:Topologically_stratified_space
dbp:nationality
American
dbp:residence
United States
dbo:abstract
John Norman Mather (* 9. Juni 1942 in Los Angeles, Kalifornien; † 28. Januar 2017 in Princeton, New Jersey) war ein US-amerikanischer Mathematiker, der sich mit Differentialtopologie beschäftigte, speziell der Singularitätentheorie („Katastrophentheorie“). Джон Норман Ма́зер (англ. John Norman Mather; 9 июня 1942, Лос-Анджелес, США — 28 января 2017, Принстон, Нью-Джерси, США) — американский математик, специалист в области теории особенностей гладких отображений и теории динамических систем (в частности, гамильтоновой механике). جون ماثر (بالإنجليزية: John N. Mather)‏ (و. 1942 – 2017 م) هو رياضياتي، وأستاذ جامعي أمريكي، ولد في لوس أنجلوس، كان عضوًا في الأكاديمية الوطنية للعلوم، توفي في برينستون، عن عمر يناهز 75 عاماً. John Norman Mather (June 9, 1942 – January 28, 2017) was a mathematician at Princeton University known for his work on singularity theory and Hamiltonian dynamics. He was descended from Atherton Mather (1663–1734), a cousin of Cotton Mather. His early work dealt with the stability of smooth mappings between smooth manifolds of dimensions n (for the source manifold N) and p (for the target manifold P). He determined the precise dimensions (n,p) for which smooth mappings are stable with respect to smooth equivalence by diffeomorphisms of the source and target (i.e., infinitely differentiable coordinate changes). Mather also proved the conjecture of the French topologist René Thom that under topological equivalence smooth mappings are generically stable: the subset of the space of smooth mappings between two smooth manifolds consisting of the topologically stable mappings is a dense subset in the smooth Whitney topology. His notes on the topic of topological stability are still a standard reference on the topic of topologically stratified spaces. In the 1970s, Mather switched to the field of dynamical systems. He made the following main contributions to dynamical systems that deeply influenced the field. 1. He introduced the concept of and gave a characterization of Anosov diffeomorphisms. 2. Jointly with Richard McGehee, he gave an example of collinear four-body problem which has initial conditions leading to solutions that blow up in finite time. This was the first result that made the Painlevé conjecture plausible. 3. He developed a variational theory for the globally action minimizing orbits for twist maps (convex Hamiltonian systems of two degrees of freedom), along the line of the work of George David Birkhoff, Marston Morse, Gustav A. Hedlund, et al. This theory is now known as . 4. He developed the Aubry–Mather theory in higher dimensions, a theory which is now called . This theory turned out to be deeply related to the viscosity solution theory of Michael G. Crandall, Pierre-Louis Lions et al. for Hamilton–Jacobi equation. The link was revealed in the of Albert Fathi. 5. He announced a proof of Arnold diffusion for nearly integrable Hamiltonian systems with three degrees of freedom. He prepared the technique, formulated a proper concept of genericity and made some important progresses towards its solution. 6. In a series of papers, he proved that for certain regularity r, depending on the dimension of the smooth manifold M, the group Diff(M, r) is perfect, i.e. equal to its own commutator subgroup, where Diff(M, r) is the group of C^r diffeomorphisms of a smooth manifold M that are isotopic to the identity through a compactly supported C^r isotopy. He also constructed counterexamples where the regularity-dimension condition is violated. Mather was one of the three editors of the Annals of Mathematics Studies series published by Princeton University Press. He was a member of the National Academy of Sciences beginning in 1988. He received the John J. Carty Award of the National Academy of Sciences in 1978 (for pure mathematics) and the George David Birkhoff Prize in applied mathematics in 2003. He also received the Brazilian Order of Scientific Merit in 2000 and the Brouwer Medal from the Royal Dutch Mathematical Society in 2014. John Norman Mather (Los Angeles, 9 de junho de 1942 – Princeton, 28 de janeiro de 2017) foi um matemático estadunidense conhecido por seu trabalho em teoria das singularidades e mecânica hamiltoniana. Foi palestrante convidado do Congresso Internacional de Matemáticos em Vancouver (1974: Foliations and local homology groups of diffeomorphisms) e em Berkeley (1986: Dynamics of area preserving mappings). John Norman Mather (9 juin 1942 - 28 janvier 2017) est un mathématicien de l'Université de Princeton connu pour ses travaux sur la théorie de la singularité et la dynamique hamiltonienne.
dbp:doctoralAdvisor
dbr:John_Milnor
dbp:doctoralStudents
dbr:Giovanni_Forni_(mathematician)
dbp:prizes
dbr:Brouwer_Medal dbr:John_J._Carty_Award_for_the_Advancement_of_Science dbr:National_Order_of_Scientific_Merit_(Brazil) dbr:George_David_Birkhoff_Prize
dbo:doctoralAdvisor
dbr:John_Milnor
dbo:doctoralStudent
dbr:Giovanni_Forni_(mathematician)
gold:hypernym
dbr:Mathematician
schema:sameAs
n17:282526928
prov:wasDerivedFrom
wikipedia-en:John_N._Mather?oldid=1058454905&ns=0
dbo:wikiPageLength
8992
dbo:birthName
John Norman Mather
dbo:academicDiscipline
dbr:Mathematics
dbo:almaMater
dbr:Harvard_University dbr:Princeton_University
dbo:award
dbr:National_Order_of_Scientific_Merit_(Brazil) dbr:John_J._Carty_Award_for_the_Advancement_of_Science dbr:George_David_Birkhoff_Prize dbr:Brouwer_Medal
dbo:knownFor
dbr:Aubry–Mather_theory dbr:Topologically_stratified_space dbr:Mather_theory dbr:Smooth_function
foaf:isPrimaryTopicOf
wikipedia-en:John_N._Mather