|
Bernard Dwork
Bernard Morris Dwork (May 27, 1923 – May 9, 1998) was an American mathematician, known for his application of ''p''-adic analysis to local zeta functions, and in particular for a proof of the first part of the Weil conjectures: the rationality of the zeta function of a variety over a finite field. The general theme of Dwork's research was ''p''-adic cohomology and ''p''-adic differential equations. He published two papers under the pseudonym Maurizio Boyarsky. Career Dwork studied electrical engineering at the City College of New York and Brooklyn Polytechnic Institute. He served in the Pacific theater of World War II. He received his Ph.D. at Columbia University in 1954 under direction of Emil Artin (his formal advisor was John Tate); Nick Katz was one of his students.. He spent 3 years at Harvard University and 7 years at Johns Hopkins University before joining Princeton University as a faculty member in 1964. He became Eugene Higgins Professor of Mathematics in 1978 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
New Brunswick, New Jersey
New Brunswick is a city (New Jersey), city in and the county seat of Middlesex County, New Jersey, Middlesex County, in the U.S. state of New Jersey.New Jersey County Map , New Jersey Department of State. Accessed July 10, 2017. A regional commercial hub for Central Jersey, Central New Jersey, the city is both a college town (the main campus of Rutgers University, the state's largest university) and a commuter town for residents commuting to New York City within the New York metropolitan area. New Brunswick is on the Northeast Corridor, Northeast Corridor rail line, southwest of New York City. The city is located on the southern banks of the Raritan River in the heart of the Raritan Valley Region. As of the 2020 United States census, the city's population was 55,266, an increa ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
P-adic Analysis
In mathematics, ''p''-adic analysis is a branch of number theory that studies functions of ''p''-adic numbers. Along with the more classical fields of real and complex analysis, which deal, respectively, with functions on the real and complex numbers, it belongs to the discipline of mathematical analysis. The theory of complex-valued numerical functions on the ''p''-adic numbers is part of the theory of locally compact groups ( abstract harmonic analysis). The usual meaning taken for ''p''-adic analysis is the theory of ''p''-adic-valued functions on spaces of interest. Applications of ''p''-adic analysis have mainly been in number theory, where it has a significant role in diophantine geometry and diophantine approximation. Some applications have required the development of ''p''-adic functional analysis and spectral theory. In many ways ''p''-adic analysis is less subtle than classical analysis, since the ultrametric inequality means, for example, that convergence of in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Guggenheim Fellowship
Guggenheim Fellowships are Grant (money), grants that have been awarded annually since by the John Simon Guggenheim Memorial Foundation, endowed by the late Simon Guggenheim, Simon and Olga Hirsh Guggenheim. These awards are bestowed upon individuals who have demonstrated distinguished accomplishment in the past and potential for future achievement. The recipients exhibit outstanding aptitude for prolific scholarship or exceptional talent in the arts. The foundation holds two separate competitions each year: * One open to citizens and permanent residents of the United States and Canada. * The other to citizens and permanent residents of Latin America and the Caribbean. The Latin America and Caribbean competition is currently suspended "while we examine the workings and efficacy of the program. The U.S. and Canadian competition is unaffected by this suspension." The performing arts are excluded from these fellowships, but composers, film directors, and choreographers are still ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Kenkichi Iwasawa
Kenkichi Iwasawa ( ''Iwasawa Kenkichi'', September 11, 1917 – October 26, 1998) was a Japanese mathematician who is known for his influence on algebraic number theory. Biography Iwasawa was born in Shinshuku-mura, a town near Kiryū, in Gunma Prefecture. He attended elementary school there, but later moved to Tokyo to attend Musashi High School. From 1937 to 1940 Iwasawa studied as an undergraduate at the University of Tokyo, after which he entered graduate school at the same institution and became an assistant in the Department of Mathematics. In 1945 he was awarded a Doctor of Science degree. However, this same year Iwasawa became sick with pleurisy, and was unable to return to his position at the university until April 1947. From 1949 to 1955 he worked as assistant professor at the University of Tokyo. In 1950, Iwasawa was invited to Cambridge, Massachusetts to give a lecture at the International Congress of Mathematicians on his method to study Dedekind zeta functions ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Padua
The University of Padua (, UNIPD) is an Italian public research university in Padua, Italy. It was founded in 1222 by a group of students and teachers from the University of Bologna, who previously settled in Vicenza; thus, it is the second-oldest university in Italy, as well as the world's fifth-oldest surviving university. The University of Padua was one of the most prominent universities in early modern Europe, known particularly for the rigor of its Aristotelian logic and science. Together with the University of Bologna, Padua had a central role in the Italian Renaissance, housing and educating a number of Italian Renaissance mathematicians, amongst them Nicolaus Copernicus. , it is made up of 32 departments and eight schools. Padua is part a network of historical research universities known as the Coimbra Group. In 2021, the university had approximately 72,000 students including undergraduates, postgraduates, and doctoral students. History The university is conventionally s ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Harvard University
Harvard University is a Private university, private Ivy League research university in Cambridge, Massachusetts, United States. Founded in 1636 and named for its first benefactor, the History of the Puritans in North America, Puritan clergyman John Harvard (clergyman), John Harvard, it is the oldest institution of higher learning in the United States. Its influence, wealth, and rankings have made it one of the most prestigious universities in the world. Harvard was founded and authorized by the Massachusetts General Court, the governing legislature of Colonial history of the United States, colonial-era Massachusetts Bay Colony. While never formally affiliated with any Religious denomination, denomination, Harvard trained Congregationalism in the United States, Congregational clergy until its curriculum and student body were gradually secularized in the 18th century. By the 19th century, Harvard emerged as the most prominent academic and cultural institution among the Boston B ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pacific War
The Pacific War, sometimes called the Asia–Pacific War or the Pacific Theatre, was the Theater (warfare), theatre of World War II fought between the Empire of Japan and the Allies of World War II, Allies in East Asia, East and Southeast Asia, the Pacific Ocean, Pacific and Indian Oceans, and Oceania. It was geographically the largest theatre of the war, including the Pacific Ocean theater of World War II, Pacific Ocean theatre, the South West Pacific theater of World War II, South West Pacific theatre, the Second Sino-Japanese War, and the brief Soviet–Japanese War, and included some of the Largest naval battle in history, largest naval battles in history. War between Japan and the Republic of China (1912–1949), Republic of China had begun in 1937, with hostilities dating back to Japanese invasion of Manchuria, Japan's invasion of Manchuria in 1931, but the Pacific War is more widely accepted to have started in 1941, when the United States and United Kingdom entered the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Brooklyn Polytechnic Institute
The New York University Tandon School of Engineering (commonly referred to as Tandon) is the engineering and applied sciences school of New York University. Tandon is the second oldest private engineering and technology school in the United States. The school dates back to 1854 when its predecessor institutions were separately founded: the University of the City of New York School of Civil Engineering and Architecture, which evolved into the NYU College of Engineering; and the Brooklyn Collegiate and Polytechnic Institute, which evolved into Polytechnic Institute. In 1973, Polytechnic Institute acquired the College of Engineering from NYU, but in 2008, Polytechnic was absorbed by NYU to become its new engineering school. In 2015 NYU renamed the engineering school in honor of NYU Trustees Chandrika and Ranjan Tandon following their donation of $100 million to the school. The school's main campus is in Brooklyn's MetroTech Center, an urban academic-industrial research park. I ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
City College Of New York
The City College of the City University of New York (also known as the City College of New York, or simply City College or CCNY) is a Public university, public research university within the City University of New York (CUNY) system in New York City. Founded in 1847, City College was the first free public institution of higher education in the United States. It is the oldest of CUNY's 25 institutions of higher learning and is considered its flagship institution. The main campus is located in the Hamilton Heights, Manhattan, Hamilton Heights neighborhood. City College's 35-acre (14 ha) campus spans Convent Avenue from 130th to 141st Streets. It was initially designed by an architect George B. Post. City College's satellite campus, City College Downtown in the Cunard Building (New York City), Cunard Building has been in operation since 1981, offering degree programs for working adults. Other primacies at City College that helped shape the culture of American higher education ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cohomology
In mathematics, specifically in homology theory and algebraic topology, cohomology is a general term for a sequence of abelian groups, usually one associated with a topological space, often defined from a cochain complex. Cohomology can be viewed as a method of assigning richer algebraic invariants to a space than homology. Some versions of cohomology arise by dualizing the construction of homology. In other words, cochains are function (mathematics), functions on the group of chain (algebraic topology), chains in homology theory. From its start in topology, this idea became a dominant method in the mathematics of the second half of the twentieth century. From the initial idea of homology as a method of constructing algebraic invariants of topological spaces, the range of applications of homology and cohomology theories has spread throughout geometry and abstract algebra, algebra. The terminology tends to hide the fact that cohomology, a Covariance and contravariance of functors, c ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Finite Field
In mathematics, a finite field or Galois field (so-named in honor of Évariste Galois) is a field (mathematics), field that contains a finite number of Element (mathematics), elements. As with any field, a finite field is a Set (mathematics), set on which the operations of multiplication, addition, subtraction and division are defined and satisfy certain basic rules. The most common examples of finite fields are the integers mod n, integers mod p when p is a prime number. The ''order'' of a finite field is its number of elements, which is either a prime number or a prime power. For every prime number p and every positive integer k there are fields of order p^k. All finite fields of a given order are isomorphism, isomorphic. Finite fields are fundamental in a number of areas of mathematics and computer science, including number theory, algebraic geometry, Galois theory, finite geometry, cryptography and coding theory. Properties A finite field is a finite set that is a fiel ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
