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Patrick X. Gallagher
Patrick Ximenes Gallagher (January 2, 1935 – March 30, 2019) was an American mathematician who pioneered large sieve theory and invented the larger sieve. Biography Early life Patrick Ximenes Gallagher was born on January 2, 1935, in Elizabeth, New Jersey to school superintendent Ralph P. Gallagher and elementary school teacher Natalie Forcheimer Gallagher. Gallagher graduated from Bound Brook High School and received a scholarship from the Harvard Club of New Jersey to attend Harvard University. Education In 1956, Gallagher received a B.A. degree ''magna cum laude'' from Harvard University. At Harvard, he was a member of the Harvard Mathematics Club and Eliot House Mathematics-Physics Club and completed an undergraduate honors thesis entitled ''On a property of some entire functions''. In 1959, Gallagher received a PhD from Princeton University with a doctoral dissertation entitled ''Metric Diophantine Approximation in One and Several Dimensions'' completed under the supervi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Elizabeth, New Jersey
Elizabeth is a city and the county seat of Union County, in the U.S. state of New Jersey.New Jersey County Map , New Jersey Department of State. Accessed July 10, 2017. As of the , the city had a total population of 137,298,Table DP-1. Profile of General Demographic Characteristics: 2010 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Eliot House (Harvard College)
Eliot House is one of twelve undergraduate residential Houses at Harvard University. It is one of the seven original houses at the college. Opened in 1931, the house was named after Charles William Eliot, who served as president of the university for forty years (1869–1909). Traditions Before Harvard opted to use a lottery system to assign residences to upperclassmen (beginning with the class of 1999), Eliot was known as a 'prep' house, providing accommodation to the university's social elite, and being known as "more Harvard than Harvard". Describing Eliot House in the late 1950s and early 1960s, author Alston Chase wrote, " though most Harvard houses in those days reflected the values of Boston Brahmin society ... Eliot was more extreme". The motto 'Floreat Domus de Eliot' and 'Domus' are traditional chants and greetings, particularly on Housing Day, when freshman find out their housing assignments. Some traditions of Eliot House are the charity event An Evening with Champi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Columbia University Faculty
Columbia may refer to: * Columbia (personification), the historical female national personification of the United States, and a poetic name for America Places North America Natural features * Columbia Plateau, a geologic and geographic region in the U.S. Pacific Northwest * Columbia River, in Canada and the United States ** Columbia Bar, a sandbar in the estuary of the Columbia River ** Columbia Country, the region of British Columbia encompassing the northern portion of that river's upper reaches ***Columbia Valley, a region within the Columbia Country ** Columbia Lake, a lake at the head of the Columbia River *** Columbia Wetlands, a protected area near Columbia Lake ** Columbia Slough, along the Columbia watercourse near Portland, Oregon * Glacial Lake Columbia, a proglacial lake in Washington state * Columbia Icefield, in the Canadian Rockies * Columbia Island (District of Columbia), in the Potomac River * Columbia Island (New York), in Long Island Sound Populated places * ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Number Theorists
Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and integer-valued functions. German mathematician Carl Friedrich Gauss (1777–1855) said, "Mathematics is the queen of the sciences—and number theory is the queen of mathematics."German original: "Die Mathematik ist die Königin der Wissenschaften, und die Arithmetik ist die Königin der Mathematik." Number theorists study prime numbers as well as the properties of mathematical objects made out of integers (for example, rational numbers) or defined as generalizations of the integers (for example, algebraic integers). Integers can be considered either in themselves or as solutions to equations (Diophantine geometry). Questions in number theory are often best understood through the study of analytical objects (for example, the Riemann zeta function) that encode properties of the integers, primes or other number-theoretic objects in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bound Brook High School Alumni
Bound or bounds may refer to: Mathematics * Bound variable * Upper and lower bounds, observed limits of mathematical functions Physics * Bound state, a particle that has a tendency to remain localized in one or more regions of space Geography *Bound Brook (Raritan River), a tributary of the Raritan River in New Jersey *Bound Brook, New Jersey, a borough in Somerset County People *Bound (surname) *Bounds (surname) Arts, entertainment, and media Films * Bound (1996 film), ''Bound'' (1996 film), an American neo-noir film by the Wachowskis * Bound (2015 film), ''Bound'' (2015 film), an American erotic thriller film by Jared Cohn * Bound (2018 film), ''Bound'' (2018 film), a Nigerian romantic drama film by Frank Rajah Arase Television * Bound (Fringe), "Bound" (''Fringe''), an episode of ''Fringe'' * Bound (The Secret Circle), "Bound" (''The Secret Circle''), an episode of ''The Secret Circle'' * Bound (Star Trek: Enterprise), "Bound" (''Star Trek: Enterprise''), an episode of ''Sta ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
21st-century American Mathematicians
The 1st century was the century spanning AD 1 ( I) through AD 100 ( C) according to the Julian calendar. It is often written as the or to distinguish it from the 1st century BC (or BCE) which preceded it. The 1st century is considered part of the Classical era, epoch, or historical period. The 1st century also saw the appearance of Christianity. During this period, Europe, North Africa and the Near East fell under increasing domination by the Roman Empire, which continued expanding, most notably conquering Britain under the emperor Claudius ( AD 43). The reforms introduced by Augustus during his long reign stabilized the empire after the turmoil of the previous century's civil wars. Later in the century the Julio-Claudian dynasty, which had been founded by Augustus, came to an end with the suicide of Nero in AD 68. There followed the famous Year of Four Emperors, a brief period of civil war and instability, which was finally brought to an end by Vespasian, ninth Roman empero ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hanoi
Hanoi or Ha Noi ( or ; vi, Hà Nội ) is the capital and second-largest city of Vietnam. It covers an area of . It consists of 12 urban districts, one district-leveled town and 17 rural districts. Located within the Red River Delta, Hanoi is the cultural and political centre of Vietnam. Hanoi can trace its history back to the third century BCE, when a portion of the modern-day city served as the capital of the historic Vietnamese nation of Âu Lạc. Following the collapse of Âu Lạc, the city was part of Han China. In 1010, Vietnamese emperor Lý Thái Tổ established the capital of the imperial Vietnamese nation Đại Việt in modern-day central Hanoi, naming the city Thăng Long (literally 'Ascending Dragon'). Thăng Long remained Đại Việt's political centre until 1802, when the Nguyễn dynasty, the last imperial Vietnamese dynasty, moved the capital to Huế. The city was renamed Hanoi in 1831, and served as the capital of French Indochina from 1902 to 1945. O ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bartel Leendert Van Der Waerden
Bartel Leendert van der Waerden (; 2 February 1903 – 12 January 1996) was a Dutch mathematician and historian of mathematics. Biography Education and early career Van der Waerden learned advanced mathematics at the University of Amsterdam and the University of Göttingen, from 1919 until 1926. He was much influenced by Emmy Noether at Göttingen, Germany. Amsterdam awarded him a Ph.D. for a thesis on algebraic geometry, supervised by Hendrick de Vries. Göttingen awarded him the habilitation in 1928. In that year, at the age of 25, he accepted a professorship at the University of Groningen. In his 27th year, Van der Waerden published his ''Moderne Algebra'', an influential two-volume treatise on abstract algebra, still cited, and perhaps the first treatise to treat the subject as a comprehensive whole. This work systematized an ample body of research by Emmy Noether, David Hilbert, Richard Dedekind, and Emil Artin. In the following year, 1931, he was appointed professor ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Glossary Of Arithmetic And Diophantine Geometry
This is a glossary of arithmetic and diophantine geometry in mathematics, areas growing out of the traditional study of Diophantine equations to encompass large parts of number theory and algebraic geometry. Much of the theory is in the form of proposed conjectures, which can be related at various levels of generality. Diophantine geometry in general is the study of algebraic varieties ''V'' over fields ''K'' that are finitely generated over their prime fields—including as of special interest number fields and finite fields—and over local fields. Of those, only the complex numbers are algebraically closed; over any other ''K'' the existence of points of ''V'' with coordinates in ''K'' is something to be proved and studied as an extra topic, even knowing the geometry of ''V''. Arithmetic geometry can be more generally defined as the study of schemes of finite type over the spectrum of the ring of integers. Arithmetic geometry has also been defined as the application of the tech ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Galois Group
In mathematics, in the area of abstract algebra known as Galois theory, the Galois group of a certain type of field extension is a specific group associated with the field extension. The study of field extensions and their relationship to the polynomials that give rise to them via Galois groups is called Galois theory, so named in honor of Évariste Galois who first discovered them. For a more elementary discussion of Galois groups in terms of permutation groups, see the article on Galois theory. Definition Suppose that E is an extension of the field F (written as E/F and read "''E'' over ''F'' "). An automorphism of E/F is defined to be an automorphism of E that fixes F pointwise. In other words, an automorphism of E/F is an isomorphism \alpha:E\to E such that \alpha(x) = x for each x\in F. The set of all automorphisms of E/F forms a group with the operation of function composition. This group is sometimes denoted by \operatorname(E/F). If E/F is a Galois extension, the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bombieri–Vinogradov Theorem
In mathematics, the Bombieri–Vinogradov theorem (sometimes simply called Bombieri's theorem) is a major result of analytic number theory, obtained in the mid-1960s, concerning the distribution of primes in arithmetic progressions, averaged over a range of moduli. The first result of this kind was obtained by Mark Barban in 1961 and the Bombieri–Vinogradov theorem is a refinement of Barban's result. The Bombieri–Vinogradov theorem is named after Enrico Bombieri and A. I. Vinogradov, who published on a related topic, the density hypothesis, in 1965. This result is a major application of the large sieve method, which developed rapidly in the early 1960s, from its beginnings in work of Yuri Linnik two decades earlier. Besides Bombieri, Klaus Roth was working in this area. In the late 1960s and early 1970s, many of the key ingredients and estimates were simplified by Patrick X. Gallagher. Statement of the Bombieri–Vinogradov theorem Let x and Q be any two positive real number ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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