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Ronald Fintushel
Ronald Alan Fintushel (born 1945) is an American mathematician, specializing in low-dimensional geometric topology (specifically of 4-manifolds) and the mathematics of gauge theory. Education and career Fintushel studied mathematics at Columbia University with a bachelor's degree in 1967 and at the University of Illinois at Urbana–Champaign with a master's degree in 1969. In 1975 he received his Ph.D. from the State University of New York at Binghamton with thesis ''Orbit maps of local S^1-actions on manifolds of dimension less than five '' under the supervision of Louis McAuley. Fintushel was a professor at Tulane University and is a professor at Michigan State University. His research deals with geometric topology, in particular of 4-manifolds (including the computation of Donaldson and Seiberg-Witten invariants) with links to gauge theory, knot theory, and symplectic geometry. He works closely with Ronald J. Stern. In 1998 he was an Invited Speaker, with Ronald J. Stern, wit ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Geometric Topology
In mathematics, geometric topology is the study of manifolds and Map (mathematics)#Maps as functions, maps between them, particularly embeddings of one manifold into another. History Geometric topology as an area distinct from algebraic topology may be said to have originated in the 1935 classification of lens spaces by Reidemeister torsion, which required distinguishing spaces that are homotopy equivalent but not homeomorphic. This was the origin of simple homotopy, ''simple'' homotopy theory. The use of the term geometric topology to describe these seems to have originated rather recently. Differences between low-dimensional and high-dimensional topology Manifolds differ radically in behavior in high and low dimension. High-dimensional topology refers to manifolds of dimension 5 and above, or in relative terms, embeddings in codimension 3 and above. Low-dimensional topology is concerned with questions in dimensions up to 4, or embeddings in codimension up to 2. Dimensio ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Michigan Mathematical Journal
The ''Michigan Mathematical Journal'' (established 1952) is published by the mathematics department at the University of Michigan. An important early editor for the Journal was George Piranian. Historically, the Journal has been published a small number of times in a given year (currently four), in all areas of mathematics Mathematics is a field of study that discovers and organizes methods, Mathematical theory, theories and theorems that are developed and Mathematical proof, proved for the needs of empirical sciences and mathematics itself. There are many ar .... The current Managing Editor is Mircea Mustaţă. References External links * Mathematics journals University of Michigan 1952 establishments in Michigan Academic journals established in 1952 {{math-journal-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Tulane University Faculty
The Tulane University of Louisiana (commonly referred to as Tulane University) is a private research university in New Orleans, Louisiana, United States. Founded as the Medical College of Louisiana in 1834 by a cohort of medical doctors, it became a comprehensive public university in the University of Louisiana in 1847. The institution became private under the endowments of Paul Tulane and Josephine Louise Newcomb in 1884 and 1887. The Tulane University School of Law and Tulane University Medical School are, respectively, the 12th oldest law school and 15th oldest medical school in the United States. Tulane has been a member of the Association of American Universities since 1958 and is classified among "R1: Doctoral Universities – Very high research activity". Alumni include 12 governors of Louisiana; 1 Chief Justice of the United States; members of the United States Congress, including a Speaker of the House; 2 Surgeons General of the United States; 23 Marshall Scholars; ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Binghamton University Alumni
Binghamton ( ) is a City (New York), city in the United States, U.S. state of New York (state), New York, and serves as the county seat of Broome County, New York, Broome County. Surrounded by rolling hills, it lies in the state's Southern Tier region near the Pennsylvania border, in a bowl-shaped valley at the confluence of the Susquehanna River, Susquehanna and Chenango River, Chenango Rivers. Binghamton is the principal city and cultural center of the Binghamton metropolitan area (also known as Greater Binghamton, or historically the Triple Cities, including Endicott and Johnson City), home to a quarter million people. The city's population, according to the 2020 United States census, is 47,969. From the days of the Rail transport in the United States, railroad, Binghamton was a transportation crossroads and a manufacturing center, and has been known at different times for the production of cigars, shoes, and computers. IBM was founded nearby, and the flight simulator was in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Illinois Urbana-Champaign Alumni
A university () is an institution of tertiary education and research which awards academic degrees in several academic disciplines. ''University'' is derived from the Latin phrase , which roughly means "community of teachers and scholars". Universities typically offer both undergraduate and postgraduate programs. The first universities in Europe were established by Catholic monks. The University of Bologna (), Italy, which was founded in 1088, is the first university in the sense of: *being a high degree-awarding institute. *using the word (which was coined at its foundation). *having independence from the ecclesiastic schools and issuing secular as well as non-secular degrees (with teaching conducted by both clergy and non-clergy): grammar, rhetoric, logic, theology, canon law and notarial law.Hunt Janin: "The university in medieval life, 1179–1499", McFarland, 2008, , p. 55f.de Ridder-Symoens, Hilde''A History of the University in Europe: Volume 1, Universities in the Midd ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Columbia University Alumni
Columbia most often refers to: * Columbia (personification), the historical personification of the United States * Columbia University, a private university in New York City * Columbia Pictures, an American film studio owned by Sony Pictures * Columbia Sportswear, an American clothing company * Columbia, South Carolina * Columbia, Missouri Columbia may also refer to: Places North America Natural features * Columbia Plateau, a geologic and geographic region in the U.S. Pacific Northwest * Columbia River, in Canada and the United States ** Columbia Bar, a sandbar in the estuary of the Columbia River ** Columbia Country, the region of British Columbia encompassing the northern portion of that river's upper reaches *** Columbia Valley, a region within the Columbia Country ** Columbia Lake, a lake at the head of the Columbia River *** Columbia Wetlands, a protected area near Columbia Lake ** Columbia Slough, along the Columbia watercourse near Portland, Oregon * Glacial Lake ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
American Topologists
American(s) may refer to: * American, something of, from, or related to the United States of America, commonly known as the "United States" or "America" ** Americans, citizens and nationals of the United States of America ** American ancestry, people who self-identify their ancestry as "American" ** American English, the set of varieties of the English language native to the United States ** Native Americans in the United States, indigenous peoples of the United States * American, something of, from, or related to the Americas, also known as "America" ** Indigenous peoples of the Americas * American (word), for analysis and history of the meanings in various contexts Organizations * American Airlines, U.S.-based airline headquartered in Fort Worth, Texas * American Athletic Conference, an American college athletic conference * American Recordings (record label), a record label that was previously known as Def American * American University, in Washington, D.C. Sports teams S ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
21st-century American Mathematicians
File:1st century collage.png, From top left, clockwise: Jesus is crucified by Roman authorities in Judaea (17th century painting). Four different men ( Galba, Otho, Vitellius, and Vespasian) claim the title of Emperor within the span of a year; The Great Fire of Rome (18th-century painting) sees the destruction of two-thirds of the city, precipitating the empire's first persecution against Christians, who are blamed for the disaster; The Roman Colosseum is built and holds its inaugural games; Roman forces besiege Jerusalem during the First Jewish–Roman War (19th-century painting); The Trưng sisters lead a rebellion against the Chinese Han dynasty (anachronistic depiction); Boudica, queen of the British Iceni leads a rebellion against Rome (19th-century statue); Knife-shaped coin of the Xin dynasty., 335px rect 30 30 737 1077 Crucifixion of Jesus rect 767 30 1815 1077 Year of the Four Emperors rect 1846 30 3223 1077 Great Fire of Rome rect 30 1108 1106 2155 Boudic ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Living People
Purpose: Because living persons may suffer personal harm from inappropriate information, we should watch their articles carefully. By adding an article to this category, it marks them with a notice about sources whenever someone tries to edit them, to remind them of WP:BLP (biographies of living persons) policy that these articles must maintain a neutral point of view, maintain factual accuracy, and be properly sourced. Recent changes to these articles are listed on Special:RecentChangesLinked/Living people. Organization: This category should not be sub-categorized. Entries are generally sorted by family name In many societies, a surname, family name, or last name is the mostly hereditary portion of one's personal name that indicates one's family. It is typically combined with a given name to form the full name of a person, although several give .... Maintenance: Individuals of advanced age (over 90), for whom there has been no new documentation in the last ten ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1946 Births
1946 (Roman numerals, MCMXLVI) was a common year starting on Tuesday of the Gregorian calendar, the 1946th year of the Common Era (CE) and ''Anno Domini'' (AD) designations, the 946th year of the 2nd millennium, the 46th year of the 20th century, and the 7th year of the 1940s decade. Events January * January 6 – The 1946 North Vietnamese parliamentary election, first general election ever in Vietnam is held. * January 7 – The Allies of World War II recognize the Austrian republic with its 1937 borders, and divide the country into four Allied-occupied Austria, occupation zones. * January 10 ** The first meeting of the United Nations is held, at Methodist Central Hall Westminster in London. ** ''Project Diana'' bounces radar waves off the Moon, measuring the exact distance between the Earth and the Moon, and proves that communication is possible between Earth and outer space, effectively opening the Space Age. * January 11 – Enver Hoxha declares the People's Republic ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
(−2,3,7) Pretzel Knot
In geometric topology, a branch of mathematics, the (−2, 3, 7) pretzel knot, sometimes called the Fintushel–Stern knot (after Ron Fintushel and Ronald J. Stern), is an important example of a pretzel knot which exhibits various interesting phenomena under three-dimensional and four-dimensional surgery constructions. Mathematical properties The (−2, 3, 7) pretzel knot has 7 ''exceptional'' slopes, Dehn surgery slopes which give non-hyperbolic 3-manifolds. Among the enumerated knots, the only other hyperbolic knot with 7 or more is the figure-eight knot The figure-eight knot or figure-of-eight knot is a type of stopper knot. It is very important in sailing, rock climbing and caving as a method of stopping ropes from running out of retaining devices. Like the overhand knot, which will jam under ..., which has 10. All other hyperbolic knots are conjectured to have at most 6 exceptional slopes. Further reading * Kirby, R., (1978). "Pro ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
