Who was a Hungarian-American mathematician, physicist, and computer scientist that helped introduce a technique for using unbounded operators to study modules generated by a single vector?
5f72bad361050c1d227709822003a349
Affiliated operator In mathematics, affiliated operators were introduced by Murray and von Neumann in the theory of von Neumann algebras as a technique for using unbounded operators to study modules generated by a single vector. Later Atiyah and Singer showed that index theorems for elliptic operators on closed manifolds with infinite fundamental group could naturally be phrased in terms of unbounded operators affiliated with the von Neumann algebra of the group. Algebraic properties of affiliated operators have proved important in L cohomology, an area between analysis and geometry that evolved from the study of such index theorems.
282b57090bb981f8945eb53c76919a94
John von Neumann John von Neumann ( ; Hungarian: "Neumann János Lajos" , ] ; December 28, 1903 – February 8, 1957) was a Hungarian-American mathematician, physicist, and computer scientist. He made major contributions to a number of fields, including mathematics (foundations of mathematics, functional analysis, ergodic theory, representation theory, operator algebras, geometry, topology, and numerical analysis), physics (quantum mechanics, hydrodynamics, and quantum statistical mechanics), economics (game theory), computing (Von Neumann architecture, linear programming, self-replicating machines, stochastic computing), and statistics.
2bf3932e00fc9e097d6583a3722085da
Bhubaneswar Mishra Bhubaneswar Mishra (or Bud Mishra, born 9 November 1961) is an Indian American computer scientist and professor at the Courant Institute of Mathematical Sciences of New York University. He is known for his applied contributions to bioinformatics, cybersecurity, and computational finance. Mishra is listed as an ISI highly cited researcher in Computer Science.
3bd95ff71d183db2a983fcc124ae064c
Vasily Vladimirov Vasilii Sergeevich Vladimirov (Russian: Васи́лий Серге́евич Влади́миров ) (9 January 1923 – 3 November 2012) was a Soviet mathematician and mathematical physicist working in the fields of number theory, mathematical physics, quantum field theory, numerical analysis, generalized functions, several complex variables, p-adic analysis, multidimensional tauberian theorems.
28ce741463061c12932a2286e3fe8bc0
Wolfgang Krull Wolfgang Krull (26 August 1899 – 12 April 1971) was a German mathematician who made fundamental contributions to commutative algebra, introducing concepts that are now central to the subject.
3de2c05b881fd7e98853f06b41d03f70
Green's identities In mathematics, Green's identities are a set of three identities in vector calculus relating the bulk with the boundary of a region on which differential operators act. They are named after the mathematician George Green, who discovered Green's theorem.
20a15b115fbe9f8c58c27eabb9e39d53
Paul Funk Paul Georg Funk (14 April 1886, Vienna – 3 June 1969, Vienna) was an Austrian mathematician who introduced the Funk transform and who worked on the calculus of variations. He was one of David Hilbert's students.
02ef91af8690ca2dae74c0dfcca2c357
Frobenius covariant In matrix theory, the Frobenius covariants of a square matrix A are special polynomials of it, namely projection matrices "A" associated with the eigenvalues and eigenvectors of A . They are named after the mathematician Ferdinand Frobenius.
e33d7dd1b12b1d300d74875002a37194
Ivan Cherednik Ivan Cherednik (Иван Владимирович Чередник) is a Russian mathematician. He introduced double affine Hecke algebras, and used them to prove Macdonald's constant term conjecture in . He has also dealt with algebraic geometry, number theory and Soliton equations. His research interests include representation theory, mathematical physics, and algebraic combinatorics. He is currently a professor of mathematics at the University of North Carolina at Chapel Hill, specializing in combinatorics.
6f6f5c24560d6f474697d3561cb4ece6
John Harnad John Harnad (born "Hernád János", Budapest) is a Hungarian-born mathematical physicist. He did his undergraduate studies at McGill University and his doctorate at the University of Oxford (D.Phil. 1972) under the supervision of John C. Taylor. He is currently Director of the Mathematical Physics group at the Centre de recherches mathématiques (CRM), a national research centre in mathematics at the Université de Montréal and Professor in the Department of Mathematics and Statistics at Concordia University. He is an affiliate member of
08fad8fdca5f112c9a68304e4c30cf37
András Prékopa András Prékopa (September 11, 1929 – September 18, 2016) was a Hungarian mathematician, a member of the Hungarian Academy of Sciences.
3043c47a2f5fba40e0a1d295c759f0d4
Farkas Bolyai Farkas Bolyai (] ; 9 February 1775 – 20 November 1856; also known as Wolfgang Bolyai in Germany) was a Hungarian mathematician, mainly known for his work in geometry.
a945808c82be89db8f950f285be00b60
Monster vertex algebra The monster vertex algebra (or moonshine module) is a vertex algebra acted on by the monster group that was constructed by Igor Frenkel, James Lepowsky, and Arne Meurman. R. Borcherds used it to prove the monstrous moonshine conjectures, by applying the Goddard–Thorn theorem of string theory to construct the monster Lie algebra, an infinite-dimensional generalized Kac–Moody algebra acted on by the monster.
4250913c465145b52638cfea1750d3d8
Michael Makkai Michael Makkai (Hungarian: "Makkai Mihály" , 24 June 1939 in Budapest, Hungary) is Canadian mathematician of Hungarian origin, specializing in mathematical logic. He works in model theory, category theory, algebraic logic, and in the theory of topoi. He was awarded his PhD from the Eötvös Loránd University, Budapest, in 1966, having been supervised by Rózsa Péter and Andrzej Mostowski. He then worked at the Mathematical Institute of the Hungarian Academy of Sciences. Between 1974 and 2010, he was professor of mathematics at the McGill University, retiring in 2010. He is an external member of the Hungarian Academy of Sciences (1995).
a2e052418a88689e131ea1f2cbe04198
Harold Edwards (mathematician) Harold Mortimer Edwards, Jr. (born August 6, 1936) is an American mathematician working in number theory, algebra, and the history and philosophy of mathematics.
d7a50ba0f28f3e328c51ee91655a9a9f
Nicolae Popescu Nicolae Popescu, Ph.D., D.Phil. (] ; 22 September 1937 – 29 July 2010) was a Romanian mathematician and Emeritus Professor. Popescu was elected a Member of the Romanian Academy in 1992. He is best known for his contributions to Algebra and the theory of Abelian categories. Since 1964 and until 2007 he collaborated on the characterization of abelian categories with the well-known French mathematician Pierre Gabriel. His areas of expertise were: Category theory, Abelian categories with Applications to Rings and Modules, adjoint functors, limits/colimits, Theory of Sheaves, Theory of Rings, Fields and Polynomials, and Valuation Theory; he also had interests and published in the following areas: Algebraic Topology, Algebraic Geometry, Commutative Algebra, K-Theory, Class-Field theory, and Algebraic Function Theory. He published between 1962 and 2008 more than 102 papers in peer-reviewed, mathematics journals, several monographs on the theory of sheaves, and also six books on abelian category theory and abstract algebra. In a Grothendieck-like, energetic style, he initiated and provided scientific leadership to several seminars on category theory, sheaves and abstract algebra which resulted in a continuous stream of high-quality mathematical publications in international, peer-reviewed mathematics journals by several members participating in his Seminar series. His book "Abelian Categories with Applications to Rings and Modules" continues to provide valuable information to mathematicians around the world. His latest contributions have also branched into valuation and number theory. He has published over 110 original, peer-reviewed articles in mathematics, mostly in category theory, algebraic geometry, and Galois and number theory.
fc51c457c14c13c2267fac1a524a3661
Alan Edelman Alan Stuart Edelman (born June 1963) is an American mathematician and computer scientist. He is a Professor of Applied Mathematics at the Massachusetts Institute of Technology and a Principal Investigator at the MIT Computer Science and AI Laboratory (CSAIL) where he leads a group in Applied Computing. In 2004 Professor Edelman founded Interactive Supercomputing, recently acquired by Microsoft.
12c6c32f747f82e22888404ea25acd10
Joseph L. Walsh Joseph Leonard "Joe" Walsh (September 21, 1895 – December 6, 1973) was an American mathematician who worked mainly in the field of analysis. The Walsh function and the Walsh–Hadamard code are named after him. The Grace–Walsh–Szegő coincidence theorem is important in the study of the location of the zeros of multivariate polynomials.
7e07f0f57db130437b2c69568f921ab0
Jerome Goldstein Jerome (Jerry) Arthur Goldstein (born August 5, 1941 in Pittsburgh, Pennsylvania) is an American mathematician whose main interests are partial differential equations, operator theory, stochastic analysis, fluid dynamics, quantum theory, and mathematical finance.
bff03a84b85cb5b6db6848232f1d2848
Hungarian algorithm The Hungarian method is a combinatorial optimization algorithm that solves the assignment problem in polynomial time and which anticipated later primal-dual methods. It was developed and published in 1955 by Harold Kuhn, who gave the name "Hungarian method" because the algorithm was largely based on the earlier works of two Hungarian mathematicians: Dénes Kőnig and Jenő Egerváry.
a94f10a2f34587ba843666baec36225a
Richard Davis Anderson Richard Davis Anderson, Sr. (17 February 1922 – 4 March 2008) was an American mathematician known internationally for his work in infinite-dimensional topology. Much of his early work focused on proofs surrounding Hilbert space and Hilbert cubes.
a80ff2cb0c6c6938ac916eeb1547f262
Béla Szőkefalvi-Nagy Béla Szőkefalvi-Nagy (29 July 1913, Kolozsvár – 21 December 1998, Szeged) was a Hungarian mathematician. His father, Gyula Szőkefalvi-Nagy was also a famed mathematician. Szőkefalvi-Nagy collaborated with Alfréd Haar and Frigyes Riesz, founders of the Szegedian school of mathematics. He contributed to the theory of Fourier series and approximation theory. His most important achievements were made in functional analysis, especially, in the theory of Hilbert space operators. He was editor-in-chief of the "Zentralblatt für Mathematik", the "Acta Scientiarum Mathematicarum", and the "Analysis Mathematica". He was awarded the Lomonosov Medal in 1979: the Béla Szőkefalvi-Nagy Medal honoring his memory is awarded yearly by Bolyai Institute.