Charles P. Boyer
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Charles P. Boyer
Charles Place Boyer (born April 1942) is an American mathematician, specializing in differential geometry and moduli spaces. He is known as one of the four mathematicians who jointly proved in 1992 the Atiyah–Jones conjecture. Boyer graduated from Pennsylvania State University with a B.S. in 1966 and a Ph.D. in 1972. His thesis ''Field Theory on a Seven-Dimensional Homogeneous Space of the Poincaré Group'' was written under the supervision of Gordon N. Fleming. After receiving his Ph.D. Boyer worked for a number of years at the Instituto de Investigaciones en Matemáticas Aplicadas y en Sistemas (IIMAS) of the Universidad Nacional Autónoma de México (UNAM). At IIMAS-UNAM he was from 1972 to 1973 a visiting researcher, from 1974 to 1975 a researcher (List of academic ranks#Mexico, Asociado C), from 1975 to 1978 a researcher (List of academic ranks#Mexico, Titular A), and from 1978 to 1981 a researcher (List of academic ranks#Mexico, Titular B). He was from 1973 to 1974 a visiti ...
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Moduli Space
In mathematics, in particular algebraic geometry, a moduli space is a geometric space (usually a scheme or an algebraic stack) whose points represent algebro-geometric objects of some fixed kind, or isomorphism classes of such objects. Such spaces frequently arise as solutions to classification problems: If one can show that a collection of interesting objects (e.g., the smooth algebraic curves of a fixed genus) can be given the structure of a geometric space, then one can parametrize such objects by introducing coordinates on the resulting space. In this context, the term "modulus" is used synonymously with "parameter"; moduli spaces were first understood as spaces of parameters rather than as spaces of objects. A variant of moduli spaces is formal moduli. Motivation Moduli spaces are spaces of solutions of geometric classification problems. That is, the points of a moduli space correspond to solutions of geometric problems. Here different solutions are identified if the ...
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1942 Births
Year 194 ( CXCIV) was a common year starting on Tuesday (link will display the full calendar) of the Julian calendar. At the time, it was known as the Year of the Consulship of Septimius and Septimius (or, less frequently, year 947 '' Ab urbe condita''). The denomination 194 for this year has been used since the early medieval period, when the Anno Domini calendar era became the prevalent method in Europe for naming years. Events By place Roman Empire * Emperor Septimius Severus and Decimus Clodius Septimius Albinus Caesar become Roman Consuls. * Battle of Issus: Septimius Severus marches with his army (12 legions) to Cilicia, and defeats Pescennius Niger, Roman governor of Syria. Pescennius retreats to Antioch, and is executed by Severus' troops. * Septimius Severus besieges Byzantium (194–196); the city walls suffer extensive damage. Asia * Battle of Yan Province: Warlords Cao Cao and Lü Bu fight for control over Yan Province; the battle lasts f ...
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Clarkson University Faculty
Clarkson may refer to: People *Clarkson (surname) Given name *Clarkson Nott Potter (1825–1882), American attorney and politician *Clarkson Frederick Stanfield (1793–1867), English painter Places Australia * Clarkson, Western Australia ** Clarkson railway station, a Transperth station in the suburb Canada * Clarkson, Ontario ** Clarkson GO Station, a station in the GO Transit network located in the community South Africa * Clarkson, Eastern Cape United States * Clarkson, California, a ghost town in California * Clarkson, Kentucky * Clarkson, Maryland * Clarkson, Missouri * Clarkson, Nebraska * Clarkson, New York, a town ** Clarkson (CDP), New York, a census-designated place in the town * Clarkson, Ohio * Clarkson, Oklahoma * Clarkson, Texas Education * Clarkson College, Omaha, Nebraska, US * Clarkson University, Potsdam, New York, US Business * Clarkson plc Clarkson PLC, often referred to simply as Clarksons, is a provider of shipping services, and is headquarter ...
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Eberly College Of Science Alumni
Eberly is a surname. Notable people with the surname include: * Angelina Eberly (1798–1860) * Bob Eberly (1916–1981), American singer *Don Eberly (born 1953), American writer * George A. Eberly (1871–1958), Justice of the Nebraska Supreme Court * Janice Eberly (born c. 1964), American economist *Joseph H. Eberly (born 1935), American physicist *Lynn Eberly (fl. 1990s–2010s), American statistician * Robert E. Eberly (1918–2004), American chief executive See also *Eberle Eberle is a Southern German diminutive form of the surname Eber. Notable people with the surname include: * Abastenia St. Leger Eberle (1878–1942), American sculptor * Adam Eberle (1804–1832), German painter *Adolf Eberle (1843–1914), German ... * Everly (other) {{surname, Eberly ...
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Differential Geometers
Differential geometry is a mathematical discipline that studies the geometry of smooth shapes and smooth spaces, otherwise known as smooth manifolds. It uses the techniques of differential calculus, integral calculus, linear algebra and multilinear algebra. The field has its origins in the study of spherical geometry as far back as antiquity. It also relates to astronomy, the geodesy of the Earth, and later the study of hyperbolic geometry by Lobachevsky. The simplest examples of smooth spaces are the plane and space curves and surfaces in the three-dimensional Euclidean space, and the study of these shapes formed the basis for development of modern differential geometry during the 18th and 19th centuries. Since the late 19th century, differential geometry has grown into a field concerned more generally with geometric structures on differentiable manifolds. A geometric structure is one which defines some notion of size, distance, shape, volume, or other rigidifying structur ...
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21st-century American Mathematicians
The 1st century was the century spanning AD 1 ( I) through AD 100 ( C) according to the Julian calendar. It is often written as the or to distinguish it from the 1st century BC (or BCE) which preceded it. The 1st century is considered part of the Classical era, epoch, or historical period. The 1st century also saw the appearance of Christianity. During this period, Europe, North Africa and the Near East fell under increasing domination by the Roman Empire, which continued expanding, most notably conquering Britain under the emperor Claudius (AD 43). The reforms introduced by Augustus during his long reign stabilized the empire after the turmoil of the previous century's civil wars. Later in the century the Julio-Claudian dynasty, which had been founded by Augustus, came to an end with the suicide of Nero in AD 68. There followed the famous Year of Four Emperors, a brief period of civil war and instability, which was finally brought to an end by Vespasian, ninth Roman emperor ...
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Living People
Related categories * :Year of birth missing (living people) / :Year of birth unknown * :Date of birth missing (living people) / :Date of birth unknown * :Place of birth missing (living people) / :Place of birth unknown * :Year of death missing / :Year of death unknown * :Date of death missing / :Date of death unknown * :Place of death missing / :Place of death unknown * :Missing middle or first names See also * :Dead people * :Template:L, which generates this category or death years, and birth year and sort keys. : {{DEFAULTSORT:Living people 21st-century people People by status ...
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Sasakian Manifold
In differential geometry, a Sasakian manifold (named after Shigeo Sasaki) is a contact manifold (M,\theta) equipped with a special kind of Riemannian metric g, called a ''Sasakian'' metric. Definition A Sasakian metric is defined using the construction of the ''Riemannian cone''. Given a Riemannian manifold (M,g), its Riemannian cone is the product :(M\times ^)\, of M with a half-line ^, equipped with the ''cone metric'' : t^2 g + dt^2,\, where t is the parameter in ^. A manifold M equipped with a 1-form \theta is contact if and only if the 2-form :t^2\,d\theta + 2t\, dt \cdot \theta\, on its cone is symplectic (this is one of the possible definitions of a contact structure). A contact Riemannian manifold is Sasakian, if its Riemannian cone with the cone metric is a Kähler manifold with Kähler form :t^2\,d\theta + 2t\,dt \cdot \theta. Examples As an example consider :S^\hookrightarrow ^=^ where the right hand side is a natural Kähler manifold and read as the cone ove ...
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Atiyah–Jones Conjecture
In mathematics, the Atiyah–Jones conjecture is a conjecture about the homology of the moduli spaces of instantons. The original form of the conjecture considered instantons over a 4 dimensional sphere. It was introduced by and proved by . The more general version of the Atiyah–Jones conjecture is a question about the homology of the moduli spaces of instantons An instanton (or pseudoparticle) is a notion appearing in theoretical and mathematical physics. An instanton is a classical solution to equations of motion with a finite, non-zero action, either in quantum mechanics or in quantum field theory. Mo ... on any 4 dimensional real manifold, or on a complex surface. The Atiyah–Jones conjecture has been proved for Ruled Surfaces by R. J. Milgram and J. Hurtubise, and for Rational Surfaces by Elizabeth Gasparim. The conjecture remains unproved for other types of 4 manifolds. References * * * * * {{DEFAULTSORT:Atiyah-Jones conjecture Topology Quantum chromodynamics C ...
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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 i ...
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University Of New Mexico
The University of New Mexico (UNM; es, Universidad de Nuevo México) is a public research university in Albuquerque, New Mexico. Founded in 1889, it is the state's flagship academic institution and the largest by enrollment, with over 25,400 students in 2021. UNM comprises twelve colleges and schools, including the only law school in New Mexico. It offers 94 baccalaureate, 71 masters, and 37 doctoral degrees. The main campus spans in central Albuquerque, with branch campuses in Gallup, Los Alamos, Rio Rancho, Taos, and Los Lunas. UNM is classified among "R1: Doctoral Universities – Very high research activity", and spent over $243 million on research and development in 2021, ranking 103rd in the nation. UNM's NCAA Division I program ( FBS for football) offers 16 varsity sports; known as the Lobos, the teams compete in the Mountain West Conference and have won national championships in skiing and cross country running. The official school colors are cherry and ...
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