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Hugh Montgomery (mathematician)
Hugh Lowell Montgomery (born 1944) is an American mathematician, working in the fields of analytic number theory and mathematical analysis. He is the namesake of Montgomery's pair correlation conjecture on the zeros of the Riemann zeta function, is known for his development of large sieve methods, and is the author of multiple books on number theory and analysis. He is a professor emeritus at the University of Michigan. Education and career Montgomery was born on August 26, 1944 in Muncie, Indiana. He was an undergraduate at the University of Illinois Urbana-Champaign. On graduating in 1966, he became a Marshall scholar at the University of Cambridge in England. There, he became a Fellow of Trinity College, Cambridge in 1969, and completed his Ph.D. in 1972. His dissertation, ''Topics in Multiplicative Number Theory'', was supervised by Harold Davenport. He became an assistant professor of mathematics at the University of Michigan in 1972. He was quickly promoted, to associ ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Muncie, Indiana
Muncie ( ) is a city in Delaware County, Indiana, United States, and its county seat. It is located in East Central Indiana about northeast of Indianapolis. At the 2020 census, the city's population was 65,195, down from 70,085 in the 2010 census. It is the principal city of the Muncie metropolitan statistical area, which encompasses all of Delaware County. The city is also included in the Indianapolis–Carmel–Muncie combined statistical area. The Lenape people, led by Buckongahelas, arrived in the area in the 1790s. They founded several villages, including one known as Munsee Town, along the White River. The trading post, renamed Muncietown, was selected as the Delaware County seat and platted in 1827. Its name was officially shortened to Muncie in 1845 and incorporated as a city in 1865. Muncie developed as a manufacturing and industrial center, especially after the Indiana gas boom of the 1880s. It is home to Ball State University. Muncie was also the subject of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Large Sieve Method
The large sieve is a method (or family of methods and related ideas) in analytic number theory. It is a type of sieve where up to half of all residue classes of numbers are removed, as opposed to small sieves such as the Selberg sieve wherein only a few residue classes are removed. The method has been further heightened by the larger sieve which removes arbitrarily many residue classes. Name Its name comes from its original application: given a set S \subset \ such that the elements of ''S'' are forbidden to lie in a set ''Ap'' ⊂ Z/''p'' Z modulo every prime ''p'', how large can ''S'' be? Here ''A''''p'' is thought of as being large, i.e., at least as large as a constant times ''p''; if this is not the case, we speak of a ''small sieve''. History The early history of the large sieve traces back to work of Yu. B. Linnik, in 1941, working on the problem of the least quadratic non-residue. Subsequently Alfréd Rényi worked on it, using probability methods. It was only two deca ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
21st-century American Mathematicians
File:1st century collage.png, From top left, clockwise: Jesus is crucified by Roman authorities in Judaea (17th century painting). Four different men ( Galba, Otho, Vitellius, and Vespasian) claim the title of Emperor within the span of a year; The Great Fire of Rome (18th-century painting) sees the destruction of two-thirds of the city, precipitating the empire's first persecution against Christians, who are blamed for the disaster; The Roman Colosseum is built and holds its inaugural games; Roman forces besiege Jerusalem during the First Jewish–Roman War (19th-century painting); The Trưng sisters lead a rebellion against the Chinese Han dynasty (anachronistic depiction); Boudica, queen of the British Iceni leads a rebellion against Rome (19th-century statue); Knife-shaped coin of the Xin dynasty., 335px rect 30 30 737 1077 Crucifixion of Jesus rect 767 30 1815 1077 Year of the Four Emperors rect 1846 30 3223 1077 Great Fire of Rome rect 30 1108 1106 2155 Boudic ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Fellows Of Trinity College, Cambridge
Fellows may refer to Fellow, in plural form. Fellows or Fellowes may also refer to: Places *Fellows, California, USA *Fellows, Wisconsin, ghost town, USA Other uses * Fellowes, Inc., manufacturer of workspace products *Fellows, a partner in the firm of English canal carriers, Fellows Morton & Clayton *Fellows (surname) *Mount Fellows, a mountain in Alaska See also *North Fellows Historic District The North Fellows Historic District is a historic district located in Ottumwa, Iowa, United States. The city experienced a housing boom after World War II. This north side neighborhood of single-family brick homes built between 1945 and 1959 ..., listed on the National Register of Historic Places in Wapello County, Iowa * Justice Fellows (other) {{disambiguation ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Alumni Of The University Of Cambridge
Alumni (: alumnus () or alumna ()) are former students or graduates of a school, college, or university. The feminine plural alumnae is sometimes used for groups of women, and alums (: alum) or alumns (: alumn) as gender-neutral alternatives. The word comes from Latin, meaning nurslings, pupils or foster children, derived from "to nourish". The term is not synonymous with "graduates": people can be alumni without graduating, e.g. Burt Reynolds was an alumnus of Florida State University but did not graduate. The term is sometimes used to refer to former employees, former members of an organization, former contributors, or former inmates. Etymology The Latin noun means "foster son" or "pupil". It is derived from the Latin verb "to nourish". Separate, but from the same root, is the adjective "nourishing", found in the phrase '' alma mater'', a title for a person's home university. Usage in Roman law In Latin, is a legal term (Roman law) to describe a child placed in foster ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Marshall Scholars
The Marshall Scholarship is a postgraduate scholarship for "intellectually distinguished young Americans ndtheir country's future leaders" to study at any university in the United Kingdom. It is considered among the most prestigious scholarships for U.S. citizens, and along with the Fulbright Scholarship, it is the only broadly available scholarship available to Americans to study at any university in the United Kingdom. Created by the Parliament of the United Kingdom in 1953 as a living gift to the United States in recognition of the generosity of Secretary of State George C. Marshall and the Marshall Plan in the wake of World War II, the goal of the scholarship was to strengthen the Special Relationship between the two countries for "the good of mankind in this turbulent world." The scholarships are awarded by the Marshall Aid Commemoration Commission and are largely funded by the British government. The program was also the first major co-educational British graduate ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Illinois Urbana-Champaign Alumni
A university () is an institution of tertiary education and research which awards academic degrees in several academic disciplines. ''University'' is derived from the Latin phrase , which roughly means "community of teachers and scholars". Universities typically offer both undergraduate and postgraduate programs. The first universities in Europe were established by Catholic monks. The University of Bologna (), Italy, which was founded in 1088, is the first university in the sense of: *being a high degree-awarding institute. *using the word (which was coined at its foundation). *having independence from the ecclesiastic schools and issuing secular as well as non-secular degrees (with teaching conducted by both clergy and non-clergy): grammar, rhetoric, logic, theology, canon law and notarial law.Hunt Janin: "The university in medieval life, 1179–1499", McFarland, 2008, , p. 55f.de Ridder-Symoens, Hilde''A History of the University in Europe: Volume 1, Universities in the Midd ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
American Number Theorists
American(s) may refer to: * American, something of, from, or related to the United States of America, commonly known as the "United States" or "America" ** Americans, citizens and nationals of the United States of America ** American ancestry, people who self-identify their ancestry as "American" ** American English, the set of varieties of the English language native to the United States ** Native Americans in the United States, indigenous peoples of the United States * American, something of, from, or related to the Americas, also known as "America" ** Indigenous peoples of the Americas * American (word), for analysis and history of the meanings in various contexts Organizations * American Airlines, U.S.-based airline headquartered in Fort Worth, Texas * American Athletic Conference, an American college athletic conference * American Recordings (record label), a record label that was previously known as Def American * American University, in Washington, D.C. Sports teams S ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Journal Of Number Theory
The ''Journal of Number Theory'' (''JNT'') is a monthly peer-reviewed scientific journal covering all aspects of number theory. The journal was established in 1969 by R.P. Bambah, P. Roquette, A. Ross, A. Woods, and H. Zassenhaus (Ohio State University). It is currently published monthly by Elsevier and the editor-in-chief is Dorian Goldfeld (Columbia University). According to the ''Journal Citation Reports'', the journal has a 2022 impact factor The impact factor (IF) or journal impact factor (JIF) of an academic journal is a type of journal ranking. Journals with higher impact factor values are considered more prestigious or important within their field. The Impact Factor of a journa ... of 0.7. David Goss prize The David Goss Prize in Number theory, founded by the Journal of Number Theory, is awarded every two years, to mathematicians under the age of 35 for outstanding contributions to number theory. The prize is dedicated to the memory of David Goss who was the fo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
American Mathematical Society
The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, advocacy and other programs. The society is one of the four parts of the Joint Policy Board for Mathematics and a member of the Conference Board of the Mathematical Sciences. History The AMS was founded in 1888 as the New York Mathematical Society, the brainchild of Thomas Fiske, who was impressed by the London Mathematical Society on a visit to England. John Howard Van Amringe became the first president while Fiske became secretary. The society soon decided to publish a journal, but ran into some resistance over concerns about competing with the '' American Journal of Mathematics''. The result was the ''Bulletin of the American Mathematical Society'', with Fiske as editor-in-chief. The de facto journal, as intended, was influentia ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
International Congress Of Mathematicians
The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU). The Fields Medals, the IMU Abacus Medal (known before 2022 as the Nevanlinna Prize), the Carl Friedrich Gauss Prize, Gauss Prize, and the Chern Medal are awarded during the congress's opening ceremony. Each congress is memorialized by a printed set of Proceedings recording academic papers based on invited talks intended to be relevant to current topics of general interest. Being List of International Congresses of Mathematicians Plenary and Invited Speakers, invited to talk at the ICM has been called "the equivalent ... of an induction to a hall of fame". History German mathematicians Felix Klein and Georg Cantor are credited with putting forward the idea of an international congress of mathematicians in the 1890s.A. John Coleman"Mathematics without borders": a book review. ''CMS Notes'' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
