Karen Uhlenbeck
Karen Keskulla Uhlenbeck ForMemRS (born August 24, 1942) is an American mathematician and one of the founders of modern geometric analysis. She is a professor emeritus of mathematics at the University of Texas at Austin, where she held the Sid W. Richardson Foundation Regents Chair. She is currently a distinguished visiting professor at the Institute for Advanced Study and a visiting senior research scholar at Princeton University. Uhlenbeck was elected to the American Philosophical Society in 2007. She won the 2019 Abel Prize for "her pioneering achievements in geometric partial differential equations, gauge theory, and integrable systems, and for the fundamental impact of her work on analysis, geometry and mathematical physics." She is the first, and so far only, woman to win the prize since its inception in 2003. She donated half of the prize money to organizations which promote more engagement of women in research mathematics. Life and career Uhlenbeck was born in Clevel ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Cleveland
Cleveland is a city in the U.S. state of Ohio and the county seat of Cuyahoga County. Located along the southern shore of Lake Erie, it is situated across the Canada–U.S. maritime border and approximately west of the Ohio-Pennsylvania state border. Cleveland is the most populous city on Lake Erie, the second-most populous city in Ohio, and the 53rd-most populous city in the U.S. with a population of 372,624 in 2020. The city anchors the Cleveland metropolitan area, the 33rd-largest in the U.S. at 2.18 million residents, as well as the larger Cleveland– Akron– Canton combined statistical area with 3.63 million residents. Cleveland was founded in 1796 near the mouth of the Cuyahoga River as part of the Connecticut Western Reserve in modern-day Northeast Ohio by General Moses Cleaveland, after whom the city was named. The city's location on the river and the lake shore allowed it to grow into a major commercial and industrial metropolis by the late 19th century, ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Partial Differential Equations
In mathematics, a partial differential equation (PDE) is an equation which involves a multivariable function and one or more of its partial derivatives. The function is often thought of as an "unknown" that solves the equation, similar to how is thought of as an unknown number solving, e.g., an algebraic equation like . However, it is usually impossible to write down explicit formulae for solutions of partial differential equations. There is correspondingly a vast amount of modern mathematical and scientific research on methods to numerically approximate solutions of certain partial differential equations using computers. Partial differential equations also occupy a large sector of pure mathematical research, in which the usual questions are, broadly speaking, on the identification of general qualitative features of solutions of various partial differential equations, such as existence, uniqueness, regularity and stability. Among the many open questions are the existence an ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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American Philosophical Society
The American Philosophical Society (APS) is an American scholarly organization and learned society founded in 1743 in Philadelphia that promotes knowledge in the humanities and natural sciences through research, professional meetings, publications, source text, library resources, and community outreach. It was founded by the polymath Benjamin Franklin and is considered the first learned society founded in what became the United States.Philosophical Hall, the society's headquarters and a museum, is located just east of Independence Hall in Independence National Historical Park. In 1965, in recognition of the building's history, it was designated a National Historic Landmark. The society has about 1,000 elected members. As of April 2020, 5,710 members had been inducted since its creation. Through research grants, published journals, the American Philosophical Society Museum, an extensive library, and regular meetings, the society supports a variety of disciplines in the humanitie ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Princeton University
Princeton University is a private university, private Ivy League research university in Princeton, New Jersey, United States. Founded in 1746 in Elizabeth, New Jersey, Elizabeth as the College of New Jersey, Princeton is the List of Colonial Colleges, fourth-oldest institution of higher education in the United States and one of the nine colonial colleges chartered before the American Revolution. The institution moved to Newark, New Jersey, Newark in 1747 and then to its Mercer County, New Jersey, Mercer County campus in Princeton nine years later. It officially became a university in 1896 and was subsequently renamed Princeton University. The university is governed by the Trustees of Princeton University and has an endowment of $37.7 billion, the largest List of colleges and universities in the United States by endowment, endowment per student in the United States. Princeton provides undergraduate education, undergraduate and graduate education, graduate instruction in the hu ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Agnes Scott College
Agnes Scott College is a Private university, private Women's Colleges in the Southern United States, women's Liberal arts colleges in the United States, liberal arts college in Decatur, Georgia. The college enrolls approximately 1,000 undergraduate and graduate students. The college is affiliated with the Presbyterian Church (USA), Presbyterian Church and is considered one of the Seven Sisters of the South. It also offers co-educational graduate programs. History The college was founded in 1889 as Decatur Female Seminary by Presbyterian minister Frank Henry Gaines. In 1890, the name was changed to Agnes Scott Institute to honor the mother of the college's primary benefactor, Col. George Washington Scott. The name was changed again to Agnes Scott College in 1906 and remains today a Women's Colleges in the Southern United States, women's college. Agnes Scott is considered the first higher education institution in the state of Georgia to receive regional accreditation. The ninth ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Geometric Analysis
Geometric analysis is a mathematical discipline where tools from differential equations, especially elliptic partial differential equations (PDEs), are used to establish new results in differential geometry and differential topology. The use of linear elliptic PDEs dates at least as far back as Hodge theory. More recently, it refers largely to the use of nonlinear partial differential equations to study geometric and topological properties of spaces, such as submanifolds of Euclidean space, Riemannian manifolds, and symplectic manifolds. This approach dates back to the work by Tibor Radó and Jesse Douglas on minimal surfaces, John Forbes Nash Jr. on isometric embeddings of Riemannian manifolds into Euclidean space, work by Louis Nirenberg on the Minkowski problem and the Weyl problem, and work by Aleksandr Danilovich Aleksandrov and Aleksei Pogorelov on convex hypersurfaces. In the 1980s fundamental contributions by Karen Uhlenbeck,Jackson, Allyn. (2019)Founder of geom ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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ForMemRS
Fellowship of the Royal Society (FRS, ForMemRS and HonFRS) is an award granted by the Fellows of the Royal Society of London to individuals who have made a "substantial contribution to the improvement of natural science, natural knowledge, including mathematics, engineering science, and medical science". Overview Fellowship of the Society, the oldest known scientific academy in continuous existence, is a significant honour. It has been awarded to :Fellows of the Royal Society, around 8,000 fellows, including eminent scientists Isaac Newton (1672), Benjamin Franklin (1756), Charles Babbage (1816), Michael Faraday (1824), Charles Darwin (1839), Ernest Rutherford (1903), Srinivasa Ramanujan (1918), Jagadish Chandra Bose (1920), Albert Einstein (1921), Paul Dirac (1930), Subrahmanyan Chandrasekhar (1944), Prasanta Chandra Mahalanobis (1945), Dorothy Hodgkin (1947), Alan Turing (1951), Lise Meitner (1955), Satyendra Nath Bose (1958), and Francis Crick (1959). More recently, fellow ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Richard Palais
Richard Sheldon Palais (born May 22, 1931) is an American mathematician working in differential geometry. Education and career Palais studied at Harvard University, where he obtained a B.A. in 1952, an M.A. in 1954 and a Ph.D. in 1956. His PhD thesis, entitled ''A Global Formulation of the Lie Theory of Transformation Groups,'' was supervised by Andrew M. Gleason and George Mackey. Palais was a postdoctoral researcher at University of Chicago from 1956 to 1958 and at the Institute for Advanced Study from 1958 to 1960. He moved then to Brandeis University, where he worked as assistant professor in 1960-1962, as associate professor in 1962-1965 and as full professor from 1965 until his retirement in 2003. From 2004 he is adjunct professor at the University of California, Irvine. Palais was awarded a Sloan Fellowship in 1965. In 1970, he was an invited speaker at the International Congress of Mathematicians in Nice. From 1965 to 1982 he was an editor for the '' Journal of Di ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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University Of Illinois At Urbana–Champaign
The University of Illinois Urbana-Champaign (UIUC, U of I, Illinois, or University of Illinois) is a public land-grant research university in the Champaign–Urbana metropolitan area, Illinois, United States. Established in 1867, it is the founding campus and flagship institution of the University of Illinois System. With over 59,000 students, the University of Illinois is one of the largest public universities by enrollment in the United States. The university contains 16 schools and colleges and offers more than 150 undergraduate and over 100 graduate programs of study. The university holds 651 buildings on and its annual operating budget in 2016 was over $2 billion. The University of Illinois Urbana-Champaign also operates a research park home to innovation centers for over 90 start-up companies and multinational corporations. The University of Illinois Urbana-Champaign is a member of the Association of American Universities and is classified among "R1: Doctoral Univ ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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University Of Illinois At Chicago
The University of Illinois Chicago (UIC) is a public research university in Chicago, Illinois, United States. Its campus is in the Near West Side community area, adjacent to the Chicago Loop. The second campus established under the University of Illinois system, UIC is also the largest university in the Chicago metropolitan area, having more than 33,000 students enrolled in 16 colleges. It is classified among "R1: Doctoral Universities – Very high research activity." UIC competes in NCAA Division I Missouri Valley Conference. History Beginnings The University of Illinois Chicago traces its origins to several health colleges founded during the late 19th century, including the Chicago College of Pharmacy, which opened in 1859, the College of Physicians and Surgeons (1882), and the Columbian College of Dentistry (1893). The University of Illinois was chartered in 1867 in Champaign-Urbana, as the state's land-grant university. In exchange for agreeing to the Champaign-Ur ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |