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Chelsea Walton
Chelsea Walton is a mathematician whose research interests include noncommutative algebra, noncommutative algebraic geometry, symmetry in quantum mechanics, Hopf algebras, and quantum groups. She is an associate professor at Rice University and a Sloan Research Fellow. Education and career Walton is African-American, originally from Detroit, Michigan, and was educated in the Detroit public schools. As a child she made a letter frequency table from her children's dictionary, and as a high school student, seeking a way to "do logic puzzles all day and get paid for this", she was already planning a career as a mathematics professor. She graduated from Michigan State University in 2005, and completed her Ph.D. at the University of Michigan in 2011. Her dissertation, ''On Degenerations and Deformations of Sklyanin Algebras'',Walton, C. M. (2011). ''On degenerations and deformations of Sklyanin algebras'' (Doctoral dissertation, University of Michigan). was jointly supervised by and ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematical Research Institute Of Oberwolfach
The Oberwolfach Research Institute for Mathematics (german: Mathematisches Forschungsinstitut Oberwolfach) is a center for mathematical research in Oberwolfach, Germany. It was founded by mathematician Wilhelm Süss in 1944. It organizes weekly workshops on diverse topics where mathematicians and scientists from all over the world come to do collaborative research. The Institute is a member of the Leibniz Association, funded mainly by the German Federal Ministry of Education and Research and by the state of Baden-Württemberg. It also receives substantial funding from the ''Friends of Oberwolfach'' foundation, from the ''Oberwolfach Foundation'' and from numerous donors. History The Oberwolfach Research Institute for Mathematics (MFO) was founded as the ''Reich Institute of Mathematics'' (German: ''Reichsinstitut für Mathematik'') on 1 September 1944. It was one of several research institutes founded by the Nazis in order to further the German war effort, which at that ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Washington
The University of Washington (UW, simply Washington, or informally U-Dub) is a public research university in Seattle, Washington. Founded in 1861, Washington is one of the oldest universities on the West Coast; it was established in Seattle approximately a decade after the city's founding. The university has a 703 acre main campus located in the city's University District, as well as campuses in Tacoma and Bothell. Overall, UW encompasses over 500 buildings and over 20 million gross square footage of space, including one of the largest library systems in the world with more than 26 university libraries, art centers, museums, laboratories, lecture halls, and stadiums. The university offers degrees through 140 departments, and functions on a quarter system. Washington is the flagship institution of the six public universities in Washington state. It is known for its medical, engineering, and scientific research. Washington is a member of the Association of American Universiti ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Gizmodo
''Gizmodo'' ( ) is a design, technology, science and science fiction website. It was originally launched as part of the Gawker Media network run by Nick Denton, and runs on the Kinja platform. ''Gizmodo'' also includes the subsite ''io9'', which focuses on science fiction and futurism. ''Gizmodo'' is now part of G/O Media, owned by private equity firm Great Hill Partners. History The blog, launched in 2002, was originally edited by Peter Rojas, who was later recruited by Weblogs, Inc. to launch their similar technology blog, ''Engadget''. By mid-2004, ''Gizmodo'' and ''Gawker'' together were bringing in revenue of approximately $6,500 per month. Gizmodo then launched in other locations: *In 2005, VNU and Gawker Media formed an alliance to republish ''Gizmodo'' across Europe, with VNU translating the content into French, German, Dutch, Spanish, Italian and Portuguese, and adding local European-interest material. *In 2006, ''Gizmodo Japan'' was launched by Mediagene, with add ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Fields Institute
The Fields Institute for Research in Mathematical Sciences, commonly known simply as the Fields Institute, is an international centre for scientific research in mathematical sciences. It is an independent non-profit with strong ties to 20 Ontario universities, including the University of Toronto, where it occupies a purpose-built building on the St. George campus. Fields was established in 1992, and was briefly based at the University of Waterloo before relocating to Toronto in 1995. The institute is named after Canadian mathematician John Charles Fields, after whom the Fields Medal is also named. Fields' name was given to the institute in recognition of his contributions to mathematics and his work on behalf of high level mathematical scholarship in Canada. As a centre for mathematical activity, the institute brings together mathematicians from Canada and abroad. It also supports the collaboration between professional mathematicians and researchers in other domains, such as sta ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
International Mathematical Union
The International Mathematical Union (IMU) is an international non-governmental organization devoted to international cooperation in the field of mathematics across the world. It is a member of the International Science Council (ISC) and supports the International Congress of Mathematicians. Its members are national mathematics organizations from more than 80 countries. The objectives of the International Mathematical Union (IMU) are: promoting international cooperation in mathematics, supporting and assisting the International Congress of Mathematicians (ICM) and other international scientific meetings/conferences, acknowledging outstanding research contributions to mathematics through the awarding of scientific prizes, and encouraging and supporting other international mathematical activities, considered likely to contribute to the development of mathematical science in any of its aspects, whether pure, applied, or educational. The IMU was established in 1920, but dissolved in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Witt Algebra
In mathematics, the complex Witt algebra, named after Ernst Witt, is the Lie algebra of meromorphic vector fields defined on the Riemann sphere that are holomorphic except at two fixed points. It is also the complexification of the Lie algebra of polynomial vector fields on a circle, and the Lie algebra of derivations of the ring C 'z'',''z''−1 There are some related Lie algebras defined over finite fields, that are also called Witt algebras. The complex Witt algebra was first defined by Cartan (1909), and its analogues over finite fields were studied by Witt in the 1930s. Basis A basis for the Witt algebra is given by the vector fields L_n=-z^ \frac, for ''n'' in ''\mathbb Z''. The Lie bracket of two vector fields is given by : _m,L_n(m-n)L_. This algebra has a central extension called the Virasoro algebra that is important in two-dimensional conformal field theory and string theory. Note that by restricting ''n'' to 1,0,-1, one gets a subalgebra. Taken over th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Universal Enveloping Algebra
In mathematics, the universal enveloping algebra of a Lie algebra is the unital associative algebra whose representations correspond precisely to the representations of that Lie algebra. Universal enveloping algebras are used in the representation theory of Lie groups and Lie algebras. For example, Verma modules can be constructed as quotients of the universal enveloping algebra. In addition, the enveloping algebra gives a precise definition for the Casimir operators. Because Casimir operators commute with all elements of a Lie algebra, they can be used to classify representations. The precise definition also allows the importation of Casimir operators into other areas of mathematics, specifically, those that have a differential algebra. They also play a central role in some recent developments in mathematics. In particular, their dual provides a commutative example of the objects studied in non-commutative geometry, the quantum groups. This dual can be shown, by the Gelfand–N ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Poisson Geometry
In differential geometry, a Poisson structure on a smooth manifold M is a Lie bracket \ (called a Poisson bracket in this special case) on the algebra (M) of smooth functions on M , subject to the Leibniz rule : \ = \h + g \ . Equivalently, \ defines a Lie algebra structure on the vector space (M) of smooth functions on M such that X_:= \: (M) \to (M) is a vector field for each smooth function f (making (M) into a Poisson algebra). Poisson structures on manifolds were introduced by André Lichnerowicz in 1977. They were further studied in the classical paper of Alan Weinstein, where many basic structure theorems were first proved, and which exerted a huge influence on the development of Poisson geometry — which today is deeply entangled with non-commutative geometry, integrable systems, topological field theories and representation theory, to name a few. Poisson structures are named after the French mathematician Siméon Denis Poisson, due to thei ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Elliptic Algebra
In algebra, an elliptic algebra is a certain regular algebra of a Gelfand–Kirillov dimension three (quantum polynomial ring in three variables) that corresponds to a cubic divisor in the projective space P2. If the cubic divisor happens to be an elliptic curve, then the algebra is called a Sklyanin algebra. The notion is studied in the context of noncommutative projective geometry In mathematics, noncommutative projective geometry is a noncommutative analog of projective geometry in the setting of noncommutative algebraic geometry. Examples *The quantum plane, the most basic example, is the quotient ring of the free ring: .... References * {{algebra-stub Algebraic structures Algebraic logic ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematically Gifted & Black
Mathematically Gifted & Black (MGB) is a website that features the accomplishments of black scholars in mathematical sciences. In addition to highlighting the work and lives of established mathematicians in the African Diaspora, the platform aims to support the next generation of these mathematicians as they pursue career goals in mathematics and mathematical sciences fields. Featured mathematicians must have a degree in mathematics that they use in their work and be recognized as a leader in research, education, industry, government, academia, and/or outreach. The website has been recognized by the American Mathematical Society (AMS) as a "celebraton ofthe diversity of Black mathematicians," and the National Math Festival describes it as a resource that "provides access to the diverse and dynamic community of black mathematicians." When featured on the mathematics podcast "Relatively Prime," the founders of MGB shared that the website shows the diversity of black mathematicians' l ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Sloan Fellowship
The Sloan Research Fellowships are awarded annually by the Alfred P. Sloan Foundation since 1955 to "provide support and recognition to early-career scientists and scholars". This program is one of the oldest of its kind in the United States. Fellowships were initially awarded in physics, chemistry, and mathematics. Awards were later added in neuroscience (1972), economics (1980), computer science (1993), computational and evolutionary molecular biology (2002), and ocean sciences or earth systems sciences (2012). Winners of these two-year fellowships are awarded $75,000, which may be spent on any expense supporting their research. From 2012 through 2020, the foundation awarded 126 research fellowship each year; in 2021, 128 were awarded, and 118 were awarded in 2022. Eligibility and selection To be eligible, a candidate must hold a Ph.D. or equivalent degree and must be a member of the faculty of a college, university, or other degree-granting institution in the United Sta ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Illinois
The University of Illinois Urbana-Champaign (U of I, Illinois, University of Illinois, or UIUC) is a public land-grant research university in Illinois in the twin cities of Champaign and Urbana. It is the flagship institution of the University of Illinois system and was founded in 1867. Enrolling over 56,000 undergraduate and graduate students, the University of Illinois is one of the largest public universities by enrollment in the country. The University of Illinois Urbana-Champaign is a member of the Association of American Universities and is classified among "R1: Doctoral Universities – Very high research activity". In fiscal year 2019, research expenditures at Illinois totaled $652 million. The campus library system possesses the second-largest university library in the United States by holdings after Harvard University. The university also hosts the National Center for Supercomputing Applications and is home to the fastest supercomputer on a university campus. The u ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
