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Daniel Quillen

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Daniel Gray Quillen (June 22, 1940 – April 30, 2011) was an American mathematician. He is known for being the "prime architect" of higher algebraic K-theory, for which he was awarded the Cole Prize in 1975 and the Fields Medal in 1978. From 1984 to 2006, he was the Waynflete Professor of Pure Mathematics at Magdalen College, Oxford. Education and careerQuillen was born in Orange, New Jersey, and attended Newark Academy.

Raoul BottRaoul BottRaoul Bott (September 24, 1923 – December 20, 2005) was a Hungarian-American mathematician known for numerous foundational contributions to geometry in its broad sense. He is best known for his Bott periodicity theorem, the Morse–Bott functions which he used in this context, and the Borel–Bott–Weil theorem. Early lifeBott was born in Budapest, Hungary, the son of Margit Kovács and Rudolph Bott.Algebraic K-theoryAlgebraic K-theory is a subject area in mathematics with connections to geometry, topology, ring theory, and number theory. Geometric, algebraic, and arithmetic objects are assigned objects called K-groups. These are groups in the sense of abstract algebra. They contain detailed information about the original object but are notoriously difficult to compute; for example, an important outstanding problem is to compute the K-groups of the integers.Fields MedalFields MedalMathematics awardAwardThe Fields Medal is a prize awarded to two, three, or four mathematicians under 40 years of age at the International Congress of Mathematicians (ICM) of the International Mathematical Union (IMU), a convention which takes place every four years. The name of the award honors the Canadian mathematician John Charles Fields.Magdalen College, OxfordMagdalen College, OxfordMagdalen College ( MAWD-lin) is a constituent college of the University of Oxford. It was founded in 1458 by Bishop of Winchester William of Waynflete. It is one of the wealthiest Oxford colleges, as of 2022, and one of the strongest academically, setting the record for the highest Norrington Score in 2010 and topping the table twice since then.Harvard UniversityHarvard UniversityPrivate university in Cambridge, Massachusetts, USHarvard University is a privateIvy Leagueresearch university in Cambridge, Massachusetts, United States. Founded in 1636, and named Harvard College in 1639 in honor of its first benefactor, Puritan 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.Bachelor's degreeBachelor's degreeUndergraduate educational qualificationA bachelor's degree (from Medieval Latinbaccalaureus; or baccalaureate, from Modern Latinbaccalaureatus) is an undergraduate degree awarded by higher education institutions upon completion of a course of study lasting three to six years (depending on the institution and academic discipline). The two most common bachelor's degrees are the Bachelor of Arts (BA) and the Bachelor of Science (BS or BSc).Orange, New JerseyOrange, New JerseyThe City of Orange (known simply as Orange) is a township in Essex County, in the U.S. state of New Jersey. As of the 2020 United States census, the township's population was 34,447, an increase of 4,313 (+14.3%) from the 2010 census count of 30,134, which in turn reflected a decline of 2,734 (-8.3%) from the 32,868 counted in the 2000 census.Newark AcademyNewark AcademyNewark Academy is a coeducational private day school located in Livingston, Essex County, in the U.S. state of New Jersey, serving students in sixth through twelfth grades. It was the first school in New Jersey to offer the International Baccalaureate (IB) program. The school receives about 650 applicants for 115 spots, an acceptance rate of roughly 17%.MathematicianMathematicianA mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. HistoryOne of the earliest known mathematicians was Thales of Miletus (c. 624 – c. 546 BC); he has been hailed as the first true mathematician and the first known individual to whom a mathematical discovery has been attributed.Waynflete ProfessorshipThe Waynflete Professorships are four professorial fellowships at the University of Oxford endowed by Magdalen College and named in honour of the college founder William of Waynflete, who had a great interest in science. These professorships are statutory professorships of the University, that is, they are professorships established in the university's regulations, and which are by those regulations attached to Magdalen College in particular.Cole PrizeThe Frank Nelson Cole Prize, or Cole Prize for short, is one of two prizes awarded to mathematicians by the American Mathematical Society, one for an outstanding contribution to algebra, and the other for an outstanding contribution to number theory. The prize is named after Frank Nelson Cole, who served the Society for 25 years.Doctor of PhilosophyDoctor of PhilosophyPostgraduate academic degreeA Doctor of Philosophy (PhD, DPhil; Latin: philosophiae doctor or doctor in philosophia) is a terminal degree that usually denotes the highest level of academic achievement in a given discipline and is awarded following a course of graduate study and original research. The name of the degree is most often abbreviated PhD (or, at times, as Ph.D. in North America) and is pronounced as three separate letters ( ).

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