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- Sylvain Edward Cappell (* 10. September 1946 in Brüssel) ist ein US-amerikanischer Mathematiker, der sich mit Topologie befasst. Cappell kam um 1950 nach New York City, wo er die Bronx High School of Science besuchte. Als Schüler gewann er den Westinghouse Talentwettbewerb mit einer mathematischen Arbeit. Er studierte an der Columbia University mit dem Bachelorabschluss 1966 und wurde 1969 an der Princeton University bei William Browder promoviert (Super-spinning and knot complements). Ab 1969 war er an der Princeton University, wo er Assistant Professor wurde, und ab 1974 Associate Professor und ab 1978 Professor am Courant Institute of Mathematical Sciences of New York University. Er ist dort Silver Professor für Mathematik. Er ist bekannt für sein Codimension 1 Splitting Theorem in der höherdimensionalen geometrischen Topologie (hervorgegangen aus seiner Dissertation) und für eine Reihe von Resultaten mit Julius Shaneson unter anderem zur höherdimensionalen Knotentheorie. zum Problem topologischer Ähnlichkeit (nach Georges de Rham) und zuletzt zu geometrischen Anzahlen von Gitterpunkten mit zahlentheoretischen Anwendungen. Bei seinen Zerlegungssätzen geht es um die Frage, wann eine Zerlegung einer Mannigfaltigkeit M in eine Verbundene Summe von Untermannigfaltigkeiten N (mit Kodimension 1) Homotopie-invariant ist. Er zeigte, dass das der Fall ist, falls die Fundamentalgruppe von N Wurzel-abgeschlossen (square root closed) in der Fundamentalgruppe von M ist. Die Obstruktion für die Homotopie-invariante Zerlegung liegt in sogenannten UNil Gruppen. 1970/71 war er Gastprofessor an der Harvard University (und 1981 erneut in Harvard), 1973 am IHES und 1972 am Weizmann-Institut. Zu seinen Doktoranden gehört Shmuel Weinberger. 2012 wurde er Fellow der American Mathematical Society, 2018 Mitglied der American Academy of Arts and Sciences. 1989/90 war er Guggenheim Fellow, 1966/67 Woodrow Wilson Fellow und 1971 bis 1973 Sloan Research Fellow. Er ist US-amerikanischer Staatsbürger. Er ist seit 1966 verheiratet und hat vier Kinder. (de)
- Sylvain Edward Cappell (né le 10 septembre 1946), est un mathématicien belgo-américain et ancien élève de William Browder à l'Université de Princeton, est un topologue qui passe la majeure partie de sa carrière au Courant Institute of Mathematical Sciences à NYU, où il est maintenant le Silver Professor de Mathématiques. (fr)
- Sylvain Edward Cappell (born 1946), is a Belgian American mathematician and former student of William Browder at Princeton University, is a topologist who has spent most of his career at the Courant Institute of Mathematical Sciences at NYU, where he is now the Silver Professor of Mathematics. He was born in Brussels, Belgium and immigrated with his parents to New York City in 1950 and grew up largely in this city. In 1963, as a senior at the Bronx High School of Science, he won first place in the Westinghouse Science Talent Search for his work on "The Theory of Semi-cyclical Groups with Special Reference to Non-Aristotelian Logic." He then graduated from Columbia University in 1966, winning the Van Amringe Mathematical Prize. He is best known for his "codimension one splitting theorem", which is a standard tool in high-dimensional geometric topology, and a number of important results proven with his collaborator Julius Shaneson (now at the University of Pennsylvania). Their work includes many results in knot theory (and broad generalizations of that subject) and aspects of low-dimensional topology. They gave the first nontrivial examples of topological conjugacy of linear transformations, which led to a flowering of research on the topological study of spaces with singularities. More recently, they combined their understanding of singularities, first to lattice point counting in polytopes, then to Euler-Maclaurin type summation formulae, and most recently to counting lattice points in the circle. This last problem is a classical one, initiated by Gauss, and the paper is still being vetted by experts. In 2012 he became a fellow of the American Mathematical Society. Cappell was elected and served as a vice president of the AMS for the term of February 2010 through January 2013.In 2018 he was elected to be a member of the American Academy of Arts and Sciences. (en)
- Sylvain Edward Cappell (Bruxelas, 1946) é um matemático belgo-estadunidense, topologista que passou a maior parte de sua carreira no Instituto Courant de Ciências Matemáticas da Universidade de Nova Iorque. Nasceu em Bruxelas, Bélgica, imigrando com seus pais para Nova Iorque em 1950, onde passou a maior parte de sua adolescência. Em 1963, como um sênior da , ganhou o primeiro lugar do por seu trabalho "The Theory of Semi-cyclical Groups with Special Reference to Non-Aristotelian Logic." É mais conhecido por seu "codimension one splitting theorem", que é uma ferramenta padrão em dimensões superiores da topologia geométrica, e diversos resultados fundamentais provados com seu colaborador . Seus trabalhos incluem diversos resultados em teoria dos nós e aspectos da topologia de baixa dimensão. Forneceram os primeiros exemplos não-triviais da conjugação topológica de transformações lineares, que levou a um afloramento das pesquisas sobre o estudo topológico de espaços com singularidades. Em 2012 foi eleito fellow da American Mathematical Society. Foi palestrante convidado do Congresso Internacional de Matemáticos em Helsinque (1978). (pt)
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- Sylvain Edward Cappell (né le 10 septembre 1946), est un mathématicien belgo-américain et ancien élève de William Browder à l'Université de Princeton, est un topologue qui passe la majeure partie de sa carrière au Courant Institute of Mathematical Sciences à NYU, où il est maintenant le Silver Professor de Mathématiques. (fr)
- Sylvain Edward Cappell (* 10. September 1946 in Brüssel) ist ein US-amerikanischer Mathematiker, der sich mit Topologie befasst. Cappell kam um 1950 nach New York City, wo er die Bronx High School of Science besuchte. Als Schüler gewann er den Westinghouse Talentwettbewerb mit einer mathematischen Arbeit. Er studierte an der Columbia University mit dem Bachelorabschluss 1966 und wurde 1969 an der Princeton University bei William Browder promoviert (Super-spinning and knot complements). Ab 1969 war er an der Princeton University, wo er Assistant Professor wurde, und ab 1974 Associate Professor und ab 1978 Professor am Courant Institute of Mathematical Sciences of New York University. Er ist dort Silver Professor für Mathematik. (de)
- Sylvain Edward Cappell (born 1946), is a Belgian American mathematician and former student of William Browder at Princeton University, is a topologist who has spent most of his career at the Courant Institute of Mathematical Sciences at NYU, where he is now the Silver Professor of Mathematics. In 2012 he became a fellow of the American Mathematical Society. Cappell was elected and served as a vice president of the AMS for the term of February 2010 through January 2013.In 2018 he was elected to be a member of the American Academy of Arts and Sciences. (en)
- Sylvain Edward Cappell (Bruxelas, 1946) é um matemático belgo-estadunidense, topologista que passou a maior parte de sua carreira no Instituto Courant de Ciências Matemáticas da Universidade de Nova Iorque. Em 2012 foi eleito fellow da American Mathematical Society. Foi palestrante convidado do Congresso Internacional de Matemáticos em Helsinque (1978). (pt)
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