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Arunas Rudvalis
Arunas Rudvalis (born June 8, 1945) is an Emeritus Professor of Mathematics at the University of Massachusetts Amherst. He is best known for the Rudvalis group. Rudvalis went to the Harvey Mudd College and received his Ph.D. degree in Dartmouth College under direction of Ernst Snapper Ernst Snapper (December 2, 1913, Groningen – February 5, 2011, Chapel Hill, North Carolina) was a Dutch-American mathematician, known for his research in "commutative algebra, algebraic geometry, cohomology of groups, character theory, and c .... External links Arunas Rudvalis's Web Page* 1945 births 20th-century American mathematicians 21st-century American mathematicians Harvey Mudd College alumni Dartmouth College alumni University of Massachusetts Amherst faculty Living people Place of birth missing (living people) {{US-mathematician-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematics
Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics with the major subdisciplines of number theory, algebra, geometry, and analysis, respectively. There is no general consensus among mathematicians about a common definition for their academic discipline. Most mathematical activity involves the discovery of properties of abstract objects and the use of pure reason to prove them. These objects consist of either abstractions from nature orin modern mathematicsentities that are stipulated to have certain properties, called axioms. A ''proof'' consists of a succession of applications of deductive rules to already established results. These results include previously proved theorems, axioms, andin case of abstraction from naturesome basic properties that are considered true starting points of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Massachusetts Amherst
The University of Massachusetts Amherst (UMass Amherst, UMass) is a public research university in Amherst, Massachusetts and the sole public land-grant university in Commonwealth of Massachusetts. Founded in 1863 as an agricultural college, it is the flagship and the largest campus in the University of Massachusetts system, as well as the first established. It is also a member of the Five College Consortium, along with four other colleges in the Pioneer Valley: Amherst College, Smith College, Mount Holyoke College, and Hampshire College. As of Fall 2022, UMass Amherst has an annual enrollment of more than 32,000 students, along with approximately 1,900 faculty members. It is the largest university in Massachusetts by campus size and second largest university by enrollment in Massachusetts, after Boston University. The university offers academic degrees in 109 undergraduate, 77 master's and 48 doctoral programs. Programs are coordinated in nine schools and colleges. The Universit ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Rudvalis Group
In the area of modern algebra known as group theory, the Rudvalis group ''Ru'' is a sporadic simple group of order : 214335371329 : = 145926144000 : ≈ 1. History ''Ru'' is one of the 26 sporadic groups and was found by and constructed by . Its Schur multiplier has order 2, and its outer automorphism group is trivial. In 1982 Robert Griess showed that ''Ru'' cannot be a subquotient of the monster group.Griess (1982) Thus it is one of the 6 sporadic groups called the pariahs. Properties The Rudvalis group acts as a rank 3 permutation group on 4060 points, with one point stabilizer being the Ree group 2''F''4(2), the automorphism group of the Tits group. This representation implies a strongly regular graph srg(4060, 2304, 1328, 1208). That is, each vertex has 2304 neighbors and 1755 non-neighbors, any two adjacent vertices have 1328 common neighbors, while any two non-adjacent ones have 1208 . Its double cover acts on a 28-dimensional lattice over the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Harvey Mudd College
Harvey Mudd College (HMC) is a private college in Claremont, California, focused on science and engineering. It is part of the Claremont Colleges, which share adjoining campus grounds and resources. The college enrolls 902 undergraduate students , and awards the Bachelor of Science degree. Admission to Harvey Mudd is highly competitive and the college has an intense academic culture. The college was funded by the friends and family of Harvey Seeley Mudd, one of the initial investors in the Cyprus Mines Corporation, and named in his honor. Although involved in planning of the new institution, Mudd died before it opened in 1955. The campus was designed by Edward Durell Stone in a modernist style. History Harvey Mudd was founded in 1955. Classes began in 1957, with a founding class of 48 students and one building–Mildred E. Mudd Hall, a dormitory. Classes and meals took place at CMC, and labs in the Baxter Science Building until additional buildings could be built: Jacobs Scienc ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Dartmouth College
Dartmouth College (; ) is a private research university in Hanover, New Hampshire. Established in 1769 by Eleazar Wheelock, it is one of the nine colonial colleges chartered before the American Revolution. Although founded to educate Native Americans in Christian theology and the English way of life, the university primarily trained Congregationalist ministers during its early history before it gradually secularized, emerging at the turn of the 20th century from relative obscurity into national prominence. It is a member of the Ivy League. Following a liberal arts curriculum, Dartmouth provides undergraduate instruction in 40 academic departments and interdisciplinary programs, including 60 majors in the humanities, social sciences, natural sciences, and engineering, and enables students to design specialized concentrations or engage in dual degree programs. In addition to the undergraduate faculty of arts and sciences, Dartmouth has four professional and graduate schools: ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ernst Snapper
Ernst Snapper (December 2, 1913, Groningen – February 5, 2011, Chapel Hill, North Carolina) was a Dutch-American mathematician, known for his research in "commutative algebra, algebraic geometry, cohomology of groups, character theory, and combinatorics." Biography Ernst Snapper, born to a Jewish family in the Netherlands, received in 1936 the equivalent of a master's degree from the University of Amsterdam. In 1938 his father, Isidore Snapper, an internationally known physician and medical researcher, accepted an offer to become the director of medical research at the Rockefeller Foundation's Peking Union Medical College. Acting on a suggestion from Abraham Flexner, Isidore Snapper encouraged Ernst Snapper to apply to Princeton University to become a graduate student. As a doctoral student of Joseph Wedderburn, Ernst Spanner graduated with a Ph.D. from Princeton University in 1941. In China, his father and mother were interned by the Japanese, but were later released in an ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1945 Births
1945 marked the end of World War II and the fall of Nazi Germany and the Empire of Japan. It is also the only year in which Nuclear weapon, nuclear weapons Atomic bombings of Hiroshima and Nagasaki, have been used in combat. Events Below, the events of World War II have the "WWII" prefix. January * January 1 – WWII: ** Nazi Germany, Germany begins Operation Bodenplatte, an attempt by the ''Luftwaffe'' to cripple Allies of World War II, Allied air forces in the Low Countries. ** Chenogne massacre: German prisoners are allegedly killed by American forces near the village of Chenogne, Belgium. * January 6 – WWII: A German offensive recaptures Esztergom, Kingdom of Hungary (1920–1946), Hungary from the Russians. * January 12 – WWII: The Soviet Union begins the Vistula–Oder Offensive in Eastern Europe, against the German Army (Wehrmacht), German Army. * January 13 – WWII: The Soviet Union begins the East Prussian Offensive, to eliminate German forces in East Pruss ... [...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] |
Harvey Mudd College Alumni
Harvey, Harveys or Harvey's may refer to: Arts, entertainment, and media * ''Harvey'' (play), a 1944 play by Mary Chase about a man befriended by an invisible anthropomorphic rabbit * Harvey Awards ("Harveys"), one of the most important awards in American comic industry, founded in 1988 * "Harvey", a song by Her's off the album '' Invitation to Her's'', 2018 Films * ''Harvey'' (1950 film), a 1950 film adapted from Mary Chase's play, starring James Stewart * ''Harvey'' (1996 film), a 1996 American made-for-television film * ''Harvey'' (Hallmark), a 1972 adaptation of Mary Chase's play for the '' Hallmark Hall of Fame'' Characters * Harvey (''Farscape''), a character in the TV show ''Farscape'' * Harvey, a crane engine in ''Thomas & Friends'' * Harvey Beaks, in the Nickelodeon animated series ''Harvey Beaks'' * Harvey Birdman, title character from the teen-adult animated series ''Harvey Birdman, Attorney at Law'' * Harvey Dent, fictional District Attorney and supervillain ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Dartmouth College Alumni
This list of alumni of Dartmouth College includes alumni and current students of Dartmouth College and its graduate schools. In addition to its undergraduate program, Dartmouth offers graduate degrees in nineteen departments and includes three graduate schools: the Tuck School of Business, the Thayer School of Engineering, and Dartmouth Medical School. Since its founding in 1769, Dartmouth has graduated classes of students and today has approximately 66,500 living alumni. This list uses the following notation: * D or unmarked years – recipient of Dartmouth College Bachelor of Arts * DMS – recipient of Dartmouth Medical School degree (Bachelor of Medicine 1797–1812, Doctor of Medicine 1812–present) * Th – recipient of any of several Thayer School of Engineering degrees (see Thayer School of Engineering#Academics) * T – recipient of Tuck School of Business Master of Business Administration, or graduate of other programs as indicated *M.A., M.A.L.S., M.S., Ph.D, etc. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Massachusetts Amherst Faculty
A university () is an institution of higher (or tertiary) education and research which awards academic degrees in several academic disciplines. Universities typically offer both undergraduate and postgraduate programs. In the United States, the designation is reserved for colleges that have a graduate school. The word ''university'' is derived from the Latin ''universitas magistrorum et scholarium'', which roughly means "community of teachers and scholars". The first universities were created in Europe by Catholic Church monks. The University of Bologna (''Università di Bologna''), founded in 1088, is the first university in the sense of: *Being a high degree-awarding institute. *Having independence from the ecclesiastic schools, although conducted by both clergy and non-clergy. *Using the word ''universitas'' (which was coined at its foundation). *Issuing secular and non-secular degrees: grammar, rhetoric, logic, theology, canon law, notarial law.Hunt Janin: "The university i ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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