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Daniel Burrill Ray
Daniel Burrill Ray (5 February 1928, Cleveland, Ohio – 19 February 1979) was an American mathematician. He is known for Ray-Singer torsion. Ray received his bachelor's degree summa cum laude in 1949 from Harvard College and his Ph.D. from Cornell University in 1953 under Mark Kac with thesis ''On Spectra of Second Order Differential Operators''. As a postdoc he was a Frank B. Jewett Fellow in 1953/54 at Bell Laboratories. From 1957 to 1979 he was a professor at Massachusetts Institute of Technology. In 1958, 1959, 1960 and 1961 he was at the Institute for Advanced Study The Institute for Advanced Study (IAS), located in Princeton, New Jersey, in the United States, is an independent center for theoretical research and intellectual inquiry. It has served as the academic home of internationally preeminent scholar .... He was a Sloan Fellow. Selected publications * On spectra of second-order differential operators. Trans. Amer. Math. Soc. 77 (1954) 299–321. * Stationary ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cleveland, Ohio
Cleveland ( ), officially the City of Cleveland, is a city in the U.S. state of Ohio and the county seat of Cuyahoga County. Located in the northeastern part of the state, it is situated along the southern shore of Lake Erie, across the U.S. maritime border with Canada, northeast of Cincinnati, northeast of Columbus, and approximately west of Pennsylvania. The largest city on Lake Erie and one of the major cities of the Great Lakes region, Cleveland ranks as the 54th-largest city in the U.S. with a 2020 population of 372,624. The city anchors both the Greater Cleveland metropolitan statistical area (MSA) and the larger Cleveland–Akron–Canton combined statistical area (CSA). The CSA is the most populous in Ohio and the 17th largest in the country, with a population of 3.63 million in 2020, while the MSA ranks as 34th largest at 2.09 million. Cleveland was founded in 1796 near the mouth of the Cuyahoga River by General Moses Cleaveland, after whom the city was named ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ronald Getoor
Ronald Kay Getoor (9 February 1929, Royal Oak, Michigan – 28 October 2017, La Jolla, San Diego, California) was an American mathematician. Getoor received from the University of Michigan bachelor's degree in 1950, master's degree in 1951, and Ph.D. in 1954 under Arthur Herbert Copeland with thesis ''Connections between operators in Hilbert space and random functions of second order''. As a postdoc he was an instructor at Princeton University. He became in 1956 an assistant professor and then full professor at the University of Washington. During the academic year 1964–1965 he was a visiting professor at Stanford University. From 1966 until his retirement in 2000 he was a professor at the University of California, San Diego. Getoor's research deals with probability theory, especially the theory of Markov processes and potential theory. In 1970 he was an invited speaker at the International Congress of Mathematicians in Nice. He was elected a Fellow of the Institute of Mathemati ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1928 Births
Nineteen or 19 may refer to: * 19 (number), the natural number following 18 and preceding 20 * one of the years 19 BC, AD 19, 1919, 2019 Films * ''19'' (film), a 2001 Japanese film * ''Nineteen'' (film), a 1987 science fiction film Music * 19 (band), a Japanese pop music duo Albums * ''19'' (Adele album), 2008 * ''19'', a 2003 album by Alsou * ''19'', a 2006 album by Evan Yo * ''19'', a 2018 album by MHD * ''19'', one half of the double album ''63/19'' by Kool A.D. * ''Number Nineteen'', a 1971 album by American jazz pianist Mal Waldron * ''XIX'' (EP), a 2019 EP by 1the9 Songs * "19" (song), a 1985 song by British musician Paul Hardcastle. * "Nineteen", a song by Bad4Good from the 1992 album '' Refugee'' * "Nineteen", a song by Karma to Burn from the 2001 album ''Almost Heathen''. * "Nineteen" (song), a 2007 song by American singer Billy Ray Cyrus. * "Nineteen", a song by Tegan and Sara from the 2007 album '' The Con''. * "XIX" (song), a 2014 song by Slipk ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Sloan Research Fellows
Sloan may refer to: *Sloan (surname) *MIT Sloan School of Management at the Massachusetts Institute of Technology, United States *Sloan (band), a Canadian rock band *Sloan Digital Sky Survey, a major astronomical survey **Sloan Great Wall, a galactic filament discovered by the Sloan Digital Sky Survey *Sloan Fellowship, a research grant to young scientists and scholars *Sloan Research Fellowship, a mid-career master's degree program in general management * Sloan Valve Company, a manufacturer of plumbing systems *''Urania sloanus'' or Sloan's urania, a species of moth * Alfred P. Sloan Foundation, a large philanthropic organization Places * Sloan, Indiana, an extinct town in Warren County * Sloan, Iowa, a city in Woodbury County * Sloan, Nevada, an unincorporated community in Clark County * Sloan, New York, a village in Erie County * Sloan Creek (other) * Sloan Lake (Minnesota), a lake in Minnesota * Mount Sloan, a mountain in British Columbia * Sloan Peak, a mountain in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Massachusetts Institute Of Technology Faculty
Massachusetts (Massachusett language, Massachusett: ''Muhsachuweesut [Massachusett writing systems, məhswatʃəwiːsət],'' English: , ), officially the Commonwealth of Massachusetts, is the most populous U.S. state, state in the New England region of the Northeastern United States. It borders on the Atlantic Ocean and Gulf of Maine to the east, Connecticut and Rhode Island to the south, New Hampshire and Vermont to the north, and New York (state), New York to the west. The state's capital and List of municipalities in Massachusetts, most populous city, as well as its cultural and financial center, is Boston. Massachusetts is also home to the urban area, urban core of Greater Boston, the largest metropolitan area in New England and a region profoundly influential upon American History of the United States, history, academia, and the Economy of the United States, research economy. Originally dependent on agriculture, fishing, and trade. Massachusetts was transformed into a manuf ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cornell University Alumni
Cornell University is a private statutory land-grant research university based in Ithaca, New York. It is a member of the Ivy League. Founded in 1865 by Ezra Cornell and Andrew Dickson White, Cornell was founded with the intention to teach and make contributions in all fields of knowledge—from the classics to the sciences, and from the theoretical to the applied. These ideals, unconventional for the time, are captured in Cornell's founding principle, a popular 1868 quotation from founder Ezra Cornell: "I would found an institution where any person can find instruction in any study." Cornell is ranked among the top global universities. The university is organized into seven undergraduate colleges and seven graduate divisions at its main Ithaca campus, with each college and division defining its specific admission standards and academic programs in near autonomy. The university also administers three satellite campuses, two in New York City and one in Education City, Qatar ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
New York University Alumni
New is an adjective referring to something recently made, discovered, or created. New or NEW may refer to: Music * New, singer of K-pop group The Boyz Albums and EPs * ''New'' (album), by Paul McCartney, 2013 * ''New'' (EP), by Regurgitator, 1995 Songs * "New" (Daya song), 2017 * "New" (Paul McCartney song), 2013 * "New" (No Doubt song), 1999 *"new", by Loona from '' Yves'', 2017 *"The New", by Interpol from ''Turn On the Bright Lights'', 2002 Acronyms * Net economic welfare, a proposed macroeconomic indicator * Net explosive weight, also known as net explosive quantity * Network of enlightened Women, a conservative university women's organization * Next Entertainment World, a South Korean film distribution company Identification codes * Nepal Bhasa language ISO 639 language code * New Century Financial Corporation (NYSE stock abbreviation) * Northeast Wrestling, a professional wrestling promotion in the northeastern United States Transport * New Orleans Lakefront Ai ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Robert McCallum Blumenthal
Robert "Bob" McCallum Blumenthal (7 February 1931, Chicago – 8 November 2012) was an American mathematician, specializing in probability theory. He is known for Blumenthal's zero-one law. Biography He received his Ph.D. in mathematics from Cornell University in 1956 under Gilbert Hunt with thesis ''An Extended Markov Property''. Blumenthal became in 1956 an instructor at the University of Washington, was eventually promoted to full professor, and in 1997 retired there. He was on sabbatical for the academic year 1961–1962 at the Institute for Advanced Study in Princeton and for the academic year 1966–1967 in Germany. Upon his death he was survived by his wife and two sons. Selected publications Articles * *with R. K. Getoor: *with R. K. Getoor: *with R. K. Getoor and Daniel Burrill Ray, D. B. Ray: *with R. K. Getoor: *with R. K. Getoor: Books *with R. K. Getoor: * References {{DEFAULTSORT:Blumenthal, Robert McCallum 1931 births 2012 deaths 20th-century ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Analytic Torsion
In mathematics, Reidemeister torsion (or R-torsion, or Reidemeister–Franz torsion) is a topological invariant of manifolds introduced by Kurt Reidemeister for 3-manifolds and generalized to higher dimensions by and . Analytic torsion (or Ray–Singer torsion) is an invariant of Riemannian manifolds defined by as an analytic analogue of Reidemeister torsion. and proved Ray and Singer's conjecture that Reidemeister torsion and analytic torsion are the same for compact Riemannian manifolds. Reidemeister torsion was the first invariant in algebraic topology that could distinguish between closed manifolds which are homotopy equivalent but not homeomorphic, and can thus be seen as the birth of geometric topology as a distinct field. It can be used to classify lens spaces. Reidemeister torsion is closely related to Whitehead torsion; see . It has also given some important motivation to arithmetic topology; see . For more recent work on torsion see the books and . Definition of a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Institute For Advanced Study
The Institute for Advanced Study (IAS), located in Princeton, New Jersey, in the United States, is an independent center for theoretical research and intellectual inquiry. It has served as the academic home of internationally preeminent scholars, including J. Robert Oppenheimer, Albert Einstein, Hermann Weyl, John von Neumann, and Kurt Gödel, many of whom had emigrated from Europe to the United States. It was founded in 1930 by American educator Abraham Flexner, together with philanthropists Louis Bamberger and Caroline Bamberger Fuld. Despite collaborative ties and neighboring geographic location, the institute, being independent, has "no formal links" with Princeton University. The institute does not charge tuition or fees. Flexner's guiding principle in founding the institute was the pursuit of knowledge for its own sake.Jogalekar. The faculty have no classes to teach. There are no degree programs or experimental facilities at the institute. Research is never contracted or ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Massachusetts Institute Of Technology
The Massachusetts Institute of Technology (MIT) is a private land-grant research university in Cambridge, Massachusetts. Established in 1861, MIT has played a key role in the development of modern technology and science, and is one of the most prestigious and highly ranked academic institutions in the world. Founded in response to the increasing industrialization of the United States, MIT adopted a European polytechnic university model and stressed laboratory instruction in applied science and engineering. MIT is one of three private land grant universities in the United States, the others being Cornell University and Tuskegee University. The institute has an urban campus that extends more than a mile (1.6 km) alongside the Charles River, and encompasses a number of major off-campus facilities such as the MIT Lincoln Laboratory, the Bates Center, and the Haystack Observatory, as well as affiliated laboratories such as the Broad and Whitehead Institutes. , 98 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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