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Tim Cochran
Thomas "Tim" Daniel Cochran (April 7, 1955 – December 16, 2014) was a professor of Mathematics at Rice University specializing in topology, especially low-dimensional topology, knot theory, the theory of knots and links and associated algebra. Education and career Tim Cochran was a valedictorian for the Severna Park High School Class of 1973. Later, he was an undergraduate at the Massachusetts Institute of Technology, and received his Doctor of Philosophy, Ph.D. from the University of California, Berkeley in 1982 (''Embedding 4-manifolds in S5''). He then returned to MIT as a C.L.E. Moore Postdoctoral Instructor from 1982 to 1984. He was an National Science Foundation, NSF postdoctoral fellow from 1985 to 1987. Following brief appointments at Berkeley and Northwestern University, he started at Rice University as an Associate Professor, associate professor in 1990. He became a full professor at Rice University in 1998. He died unexpectedly, aged 59, on December 16, 2014, while on ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Multnomah Falls
Multnomah Falls is a waterfall located on Multnomah Creek in the Columbia River Gorge, east of Troutdale, between Corbett and Dodson, Oregon, United States. The waterfall is accessible from the Historic Columbia River Highway and Interstate 84. Spanning two tiers on basalt cliffs, it is the tallest waterfall in the state of Oregon at in height. The Multnomah Creek Bridge, built in 1914, crosses below the falls, and is listed on the National Register of Historic Places. The land surrounding the falls was developed by Simon Benson in the early-twentieth century, with a pathway, viewing bridge, and adjacent lodge being constructed in 1925. The Multnomah Falls Lodge and the surrounding footpaths at the falls were added to the National Register of Historic Places in 1981. Contemporarily, the state of Oregon maintains a switchback trail that ascends to a talus slope above the falls, and descends to an observation deck that overlooks the falls' edge. The falls attract over two mil ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Northwestern University
Northwestern University is a private research university in Evanston, Illinois. Founded in 1851, Northwestern is the oldest chartered university in Illinois and is ranked among the most prestigious academic institutions in the world. Chartered by the Illinois General Assembly in 1851, Northwestern was established to serve the former Northwest Territory. The university was initially affiliated with the Methodist Episcopal Church but later became non-sectarian. By 1900, the university was the third largest university in the United States. In 1896, Northwestern became a founding member of the Big Ten Conference, and joined the Association of American Universities as an early member in 1917. The university is composed of eleven undergraduate, graduate, and professional schools, which include the Kellogg School of Management, the Pritzker School of Law, the Feinberg School of Medicine, the Weinberg College of Arts and Sciences, the Bienen School of Music, the McCormick ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1955 Births
Events January * January 3 – José Ramón Guizado becomes president of Panama. * January 17 – , the first nuclear-powered submarine, puts to sea for the first time, from Groton, Connecticut. * January 18– 20 – Battle of Yijiangshan Islands: The Chinese Communist People's Liberation Army seizes the islands from the Republic of China (Taiwan). * January 22 – In the United States, The Pentagon announces a plan to develop intercontinental ballistic missiles (ICBMs), armed with nuclear weapons. * January 23 – The Sutton Coldfield rail crash kills 17, near Birmingham, England. * January 25 – The Presidium of the Supreme Soviet of the Soviet Union announces the end of the war between the USSR and Germany, which began during World War II in 1941. * January 28 – The United States Congress authorizes President Dwight D. Eisenhower to use force to protect Formosa from the People's Republic of China. February * February 10 – The United States Sev ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Advances In Mathematics
''Advances in Mathematics'' is a peer-reviewed scientific journal covering research on pure mathematics. It was established in 1961 by Gian-Carlo Rota. The journal publishes 18 issues each year, in three volumes. At the origin, the journal aimed at publishing articles addressed to a broader "mathematical community", and not only to mathematicians in the author's field. Herbert Busemann writes, in the preface of the first issue, "The need for expository articles addressing either all mathematicians or only those in somewhat related fields has long been felt, but little has been done outside of the USSR. The serial publication ''Advances in Mathematics'' was created in response to this demand." Abstracting and indexing The journal is abstracted and indexed in: * |
Constance Leidy
Constance may refer to: Places *Konstanz, Germany, sometimes written as Constance in English *Constance Bay, Ottawa, Canada *Constance, Kentucky *Constance, Minnesota *Constance (Portugal) *Mount Constance, Washington State People *Constance (given name), female given name, also includes list of people with the name *Andrew Constance (born 1973), Australian politician *Angela Constance (born 1970), Scottish politician *Ansley Constance (born 1966), Seychelles politician *Lincoln Constance (1909–2001), American botanist *Nathan Constance (born 1979), English actor Other * ''Constance'' (album), a 2000 album by Southpacific * ''Constance'' (film), a 1998 erotic film directed by Knud Vesterskov * ''Constance'' (magazine), arts and literature magazine based in New Orleans * ''Constance'' (novel), 1982 novel by Lawrence Durrell *Constance Billard School for Girls, a fictional private school in ''Gossip Girl'' * HMS ''Constance'', six ships of the British Royal Navy *, later USS '' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
American Mathematical Society
The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, advocacy and other programs. The society is one of the four parts of the Joint Policy Board for Mathematics and a member of the Conference Board of the Mathematical Sciences. History The AMS was founded in 1888 as the New York Mathematical Society, the brainchild of Thomas Fiske, who was impressed by the London Mathematical Society on a visit to England. John Howard Van Amringe was the first president and Fiske became secretary. The society soon decided to publish a journal, but ran into some resistance, due to concerns about competing with the American Journal of Mathematics. The result was the ''Bulletin of the American Mathematical Society'', with Fiske as editor-in-chief. The de facto journal, as intended, was influential in in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Dehn Surgery
In topology, a branch of mathematics, a Dehn surgery, named after Max Dehn, is a construction used to modify 3-manifolds. The process takes as input a 3-manifold together with a link. It is often conceptualized as two steps: ''drilling'' then ''filling''. Definitions * Given a 3-manifold M and a link L \subset M, the manifold M drilled along L is obtained by removing an open tubular neighborhood of L from M. If L = L_1\cup\dots\cup L_k , the drilled manifold has k torus boundary components T_1\cup\dots\cup T_k. The manifold ''M drilled along L'' is also known as the link complement, since if one removed the corresponding closed tubular neighborhood from M, one obtains a manifold diffeomorphic to M \setminus L. * Given a 3-manifold whose boundary is made of 2-tori T_1\cup\dots\cup T_k, we may glue in one solid torus by a homeomorphism (resp. diffeomorphism) of its boundary to each of the torus boundary components T_i of the original 3-manifold. There are many inequivalent way ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Slam-dunk
In the mathematical field of low-dimensional topology, the slam-dunk is a particular modification of a given surgery diagram in the 3-sphere for a 3-manifold. The name, but not the move, is due to Tim Cochran. Let ''K'' be a component of the link in the diagram and ''J'' be a component that circles ''K'' as a meridian. Suppose ''K'' has integer coefficient ''n'' and ''J'' has coefficient a rational number ''r''. Then we can obtain a new diagram by deleting ''J'' and changing the coefficient of ''K'' to ''n-1/r''. This is the slam-dunk. The name of the move is suggested by the proof that these diagrams give the same 3-manifold. First, do the surgery on ''K'', replacing a tubular neighborhood of ''K'' by another solid torus ''T'' according to the surgery coefficient ''n''. Since ''J'' is a meridian, it can be pushed, or "slam dunked", into ''T''. Since ''n'' is an integer, ''J'' intersects the meridian of ''T'' once, and so ''J'' must be isotopic to a longitude of ''T''. Th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Link Concordance
In mathematics, two links L_0 \subset S^n and L_1 \subset S^n are concordant if there exists an embedding f : L_0 \times ,1\to S^n \times ,1/math> such that f(L_0 \times \) = L_0 \times \ and f(L_0 \times \) = L_1 \times \. By its nature, link concordance is an equivalence relation. It is weaker than isotopy, and stronger than homotopy: isotopy implies concordance implies homotopy. A link is a slice link if it is concordant to the unlink. Concordance invariants A function of a link that is invariant under concordance is called a concordance invariant. The linking number of any two components of a link is one of the most elementary concordance invariants. The signature of a knot is also a concordance invariant. A subtler concordance invariant are the Milnor invariants, and in fact all rational finite type concordance invariants are Milnor invariants and their products, though non-finite type concordance invariants exist. Higher dimensions One can analogously define ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Solvable Filtration
In mathematics, solvable may refer to: *Solvable group, a group that can be constructed by compositions of abelian groups, or equivalently a group whose derived series reaches the trivial group in finitely many steps *Solvable extension, a field extension whose Galois group is a solvable group *Solvable equation, a polynomial equation whose Galois group is solvable, or equivalently, one whose solutions may be expressed by nested radicals *Solvable Lie algebra, a Lie algebra whose derived series reaches the zero algebra in finitely many steps * Solvable problem, a computational problem that can be solved by a Turing machine *Exactly solvable model in statistical mechanics, a system whose solution can be expressed in closed form, or alternatively, another name for completely integrable systems See also * solved game * solubility In chemistry, solubility is the ability of a substance, the solute, to form a solution with another substance, the solvent. Insolubility is the opposi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Peter Teichner
Peter Teichner (born June 30, 1963 in Bratislava, Czechoslovakia) is a German mathematician and one of the directors of the Max Planck Institute for Mathematics in Bonn. His main areas of work are topology and geometry. Life In 1988, Peter Teichner graduated from the University of Mainz with a degree in mathematics. After graduating, he worked for one year in Canada, funded by the "Government of Canada Award", at McMaster University in Hamilton (Ontario). From 1989 to 1990 he was affiliated with the Max Planck Institute for Mathematics. From 1990 to 1992 he worked at the University of Mainz as a research assistant, and in 1992 he received his doctorate with Matthias Kreck as his advisor. The title of his doctoral thesis was Topological four-manifolds with finite fundamental group. With a Feodor Lynen Scholarship from the Humboldt Foundation, he went to UC San Diego from 1992 to 1995 and collaborated with Michael Freedman. In 1995 he worked at the Institut des Hautes Études Sc ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Kent Orr
Kent is a county in South East England and one of the home counties. It borders Greater London to the north-west, Surrey to the west and East Sussex to the south-west, and Essex to the north across the estuary of the River Thames; it faces the French department of Pas-de-Calais across the Strait of Dover. The county town is Maidstone. It is the fifth most populous county in England, the most populous non-Metropolitan county and the most populous of the home counties. Kent was one of the first British territories to be settled by Germanic tribes, most notably the Jutes, following the withdrawal of the Romans. Canterbury Cathedral in Kent, the oldest cathedral in England, has been the seat of the Archbishops of Canterbury since the conversion of England to Christianity that began in the 6th century with Saint Augustine. Rochester Cathedral in Medway is England's second-oldest cathedral. Located between London and the Strait of Dover, which separates England from mainland Europ ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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