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Isadore M. Singer
Isadore Manuel Singer (May 3, 1924 – February 11, 2021) was an American mathematician. He was an Emeritus Institute Professor in the Department of Mathematics at the Massachusetts Institute of Technology and a Professor Emeritus of Mathematics at the University of California, Berkeley. Singer is noted for his work with Michael Atiyah, proving the Atiyah–Singer index theorem in 1962, which paved the way for new interactions between pure mathematics and theoretical physics. In early 1980s, while a professor at Berkeley, Singer co-founded the Mathematical Sciences Research Institute (MSRI) with Shiing-Shen Chern and Calvin Moore. Biography Early life and education Singer was born on May 3, 1924, in Detroit, Michigan, to Polish Jewish immigrants. His father Simon was employed as a printer and only spoke Yiddish, and his mother, Freda (Rosemaity), worked as a seamstress. Singer learned English swiftly and subsequently taught it to the rest of his family. Isadore was born with ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Isidore Singer
Isidore Singer (10 November 1859 – 20 February 1939) was an American encyclopedist and editor of '' The Jewish Encyclopedia'' and founder of the American League for the Rights of Man. Biography Singer was born in 1859 in Weisskirchen, Moravia, in the Austrian Empire. He studied at the University of Vienna and the Humboldt University of Berlin, receiving his Ph.D. in 1884. France After editing the ''Allgemeine oesterreichische Literaturzeitung'' (Austrian literary newspaper) from 1885 to 1886, he became literary secretary to the French ambassador in Vienna. From 1887, he worked in Paris in the press bureau of the French foreign office and was active in the campaign on behalf of Alfred Dreyfus. In 1893 he founded a short-lived biweekly called ''La Vraie Parole'' as a foil to the anti-Jewish '' La Libre Parole''. New York Singer moved to New York City in 1895 where he learned English and taught French, raising the money for the ''Jewish Encyclopedia'' he had en ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Dan Freed
Daniel Stuart Freed (born 17 April 1959) is an American mathematician, specializing in global analysis and its applications to supersymmetry, string theory, and quantum field theory. Since 1989, he has been a professor at the University of Texas at Austin. Freed studied at Harvard University, where he received his bachelor's and master's degrees in 1981. He received his Ph.D. from the University of California, Berkeley in 1985 with thesis ''The geometry of loop groups'' under Isadore Singer. As a postdoc, Freed was a Moore Instructor at the Massachusetts Institute of Technology, and then became an assistant professor at the University of Chicago. Beginning in 1989, he was an associate professor, and from 1994, a professor at the University of Texas at Austin. From 1996 to 1998, he was at the Institute for Advanced Study (IAS) and he was a visiting scientist at the Institut des Hautes Études Scientifiques (1995, 1999). In the academic year 2002/2003, Freed was a Guggenheim Fellow, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Wigner Medal
The International Colloquium on Group Theoretical Methods in Physics is an academic conference devoted to applications of group theory to physics. It was founded in 1972 by Henri Bacry and Aloysio Janner. It hosts a colloquium every two years. The ICGTMP is led by a standing committee, which helps select winners for the two major awards presented at the conference: the Wigner Medal and the Weyl Prize. Wigner Medal The Wigner Medal is an award designed "to recognize outstanding contributions to the understanding of physics through Group Theory". The Wigner Medal is administered by The Group Theory and Fundamental Physics Foundation, a publicly supported organization. Donations are tax-deductible as provided pursuant to the provisions of Section 170 of the Internal Revenue Code, a federal code of the United States. The award was first presented in 1978 to Eugene Wigner, and was first awarded at the Integrative Conference on Group Theory and Mathematical Physics. List of conferen ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
National Medal Of Science
The National Medal of Science is an honor bestowed by the President of the United States to individuals in science and engineering who have made important contributions to the advancement of knowledge in the fields of behavioral and social sciences, biology, chemistry, engineering, mathematics and physics. The twelve member presidential Committee on the National Medal of Science is responsible for selecting award recipients and is administered by the National Science Foundation (NSF). History The National Medal of Science was established on August 25, 1959, by an act of the Congress of the United States under . The medal was originally to honor scientists in the fields of the "physical, biological, mathematical, or engineering sciences". The Committee on the National Medal of Science was established on August 23, 1961, by executive order 10961 of President John F. Kennedy. On January 7, 1979, the American Association for the Advancement of Science (AAAS) passed a resolution ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bôcher Memorial Prize
The Bôcher Memorial Prize was founded by the American Mathematical Society in 1923 in memory of Maxime Bôcher with an initial endowment of $1,450 (contributed by members of that society). It is awarded every three years (formerly every five years) for a notable research work in analysis that has appeared during the past six years. The work must be published in a recognized, peer-reviewed venue. The current award is $5,000. There have been thirty-seven prize recipients. The first woman to win the award, Laure Saint-Raymond, did so in 2020. About eighty percent of the journal articles recognized since 2000 have been from ''Annals of Mathematics'', the ''Journal of the American Mathematical Society'', ''Inventiones Mathematicae'', and ''Acta Mathematica''. Past winners * 1923 George David Birkhoff for ::''Dynamical systems with two degrees of freedom.'' Trans. Amer. Math. Soc. 18 (1917), 119-300. * 1924 Eric Temple Bell for ::''Arithmetical paraphrases. I,II.'' Trans. Amer. Mat ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Kadison–Singer Problem
In mathematics, the Kadison–Singer problem, posed in 1959, was a problem in functional analysis about whether certain extensions of certain linear functionals on certain C*-algebras were unique. The uniqueness was proved in 2013. The statement arose from work on the foundations of quantum mechanics done by Paul Dirac in the 1940s and was formalized in 1959 by Richard Kadison and Isadore Singer. The problem was subsequently shown to be equivalent to numerous open problems in pure mathematics, applied mathematics, engineering and computer science. Kadison, Singer, and most later authors believed the statement to be false, but, in 2013, it was proven true by Adam Marcus, Daniel Spielman and Nikhil Srivastava, who received the 2014 Pólya Prize for the achievement. The solution was made possible by a reformulation provided by Joel Anderson, who showed in 1979 that his "paving conjecture", which only involves operators on finite-dimensional Hilbert spaces, is equivalent to the Kadi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ray–Singer 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 o ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Atiyah–Hitchin–Singer Theorem
In differential geometry and gauge theory, the Atiyah–Hitchin–Singer theorem, introduced by , states that the space of SU(2) anti self dual Yang–Mills fields on a 4-sphere with index Index (or its plural form indices) may refer to: Arts, entertainment, and media Fictional entities * Index (''A Certain Magical Index''), a character in the light novel series ''A Certain Magical Index'' * The Index, an item on a Halo megastru ... ''k'' > 0 has dimension 8''k'' – 3. References * * Differential geometry {{differential-geometry-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Atiyah–Singer Index Theorem
In differential geometry, the Atiyah–Singer index theorem, proved by Michael Atiyah and Isadore Singer (1963), states that for an elliptic differential operator on a compact manifold, the analytical index (related to the dimension of the space of solutions) is equal to the topological index (defined in terms of some topological data). It includes many other theorems, such as the Chern–Gauss–Bonnet theorem and Riemann–Roch theorem, as special cases, and has applications to theoretical physics. History The index problem for elliptic differential operators was posed by Israel Gel'fand. He noticed the homotopy invariance of the index, and asked for a formula for it by means of topological invariants. Some of the motivating examples included the Riemann–Roch theorem and its generalization the Hirzebruch–Riemann–Roch theorem, and the Hirzebruch signature theorem. Friedrich Hirzebruch and Armand Borel had proved the integrality of the  genus of a spin manifold, a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Holonomy
In differential geometry, the holonomy of a connection on a smooth manifold is a general geometrical consequence of the curvature of the connection measuring the extent to which parallel transport around closed loops fails to preserve the geometrical data being transported. For flat connections, the associated holonomy is a type of monodromy and is an inherently global notion. For curved connections, holonomy has nontrivial local and global features. Any kind of connection on a manifold gives rise, through its parallel transport maps, to some notion of holonomy. The most common forms of holonomy are for connections possessing some kind of symmetry. Important examples include: holonomy of the Levi-Civita connection in Riemannian geometry (called Riemannian holonomy), holonomy of connections in vector bundles, holonomy of Cartan connections, and holonomy of connections in principal bundles. In each of these cases, the holonomy of the connection can be identified with a Lie g ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Nancy K
Nancy may refer to: Places France * Nancy, France, a city in the northeastern French department of Meurthe-et-Moselle and formerly the capital of the duchy of Lorraine ** Arrondissement of Nancy, surrounding and including the city of Nancy ** Roman Catholic Diocese of Nancy, surrounding and including the city of Nancy ** École de Nancy, the spearhead of the Art Nouveau in France ** Musée de l'École de Nancy, a museum * Nancy-sur-Cluses, Haute-Savoie United States * Nancy, Kentucky * Mount Nancy, in the White Mountains of New Hampshire * Nancy, Virginia People * Nancy (given name), including a list of people and fictional characters with the name * Nancy (singer) (born Nancy Jewel McDonie), member of Momoland * Jean-Luc Nancy (1940–2021), French philosopher * Nazmun Munira Nancy, Bangladeshi singer Vessels * * ''Nancy'' (1803 ship), a sloop wrecked near Jervis Bay in 1805 * ''Nancy'' (1789 ship), a schooner built in Detroit in 1789, best known for play ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Gerald Schwarz
Gerald Walter Schwarz (born February 15, 1946, Portland, Oregon, United States) is an American mathematician and Professor Emeritus at Brandeis University. Schwarz specializes in invariant theory, algebraic group actions and invariant differential operators. Early life and education Of German descent, Schwarz's father, Ernst, was one of the 30,000 Jews seized during Kristallnacht. He was imprisoned at the Buchenwald concentration camp until his wife, Elaine, managed to secure a visa to travel abroad. Upon his release from the camp, the couple fled to England where Gerald's older brother, Maurice, was born. In November 1939, Ernst, Elaine and Maurice arrived in the United States, eventually settling in Portland, Oregon. Gerald was born seven years later. He spent his childhood in Portland, then moved to Cambridge, Massachusetts to attend school. Schwarz earned his B.S. and M.S. degrees from the Massachusetts Institute of Technology (MIT) in 1969 and his Ph.D. in mathematics from MI ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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