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Encyclopedia > Andrew Granville

Andrew Granville is a British mathematician, working in the field of number theory. Number theory is the branch of pure mathematics concerned with the properties of numbers in general, and integers in particular, as well as the wider classes of problems that arise from their study. ...


He has been a faculty member at the University of Montreal since 2002. Before moving to Montreal he was a mathematics professor at University of Georgia (UGA) from 1991 until 2002. He was a section speaker in the 1994 International Congress of Mathematicians together with Dr. Carl Pomerance from UGA. The Université de Montréal (UdeM) (translated into English commonly as (the) University of Montreal) is one of four universities in Montreal, Quebec, Canada. ... Euclid, Greek mathematician, 3rd century BC, known today as the father of geometry; shown here in a detail of The School of Athens by Raphael. ... The University of Georgia (UGA) is the largest institution of higher learning and research in the State of Georgia. ... The International Congress of Mathematicians (ICM) is the biggest congress in mathematics. ... One of the top number theorists of our time, Carl Pomerance received his PhD from Harvard University in 1972 and immediately joined the faculty at the University of Georgia, becoming full professor in 1982. ...


Granville received his Bachelor of Arts (Honours) (1983) and his Certificate of Advanced Studies (Distinction) (1984) from Trinity College, Cambridge University. He received his Ph.D. from Queen's University in 1987 and was inducted into the Royal Society of Canada in 2006. Bachelor of Arts (B.A., BA or A.B.), from the Latin Artium Baccalaureus is an undergraduate bachelors degree awarded for either a course or a program in the liberal arts or the sciences, or both. ... Full name The College of the Holy and Undivided Trinity Motto Virtus vera nobilitas Virtue is true Nobility Named after The Holy Trinity Previous names King’s Hall and Michaelhouse (until merged in 1546) Established 1546 Sister College(s) Christ Church Master The Lord Rees of Ludlow Location Trinity Street... Doctor of Philosophy (Ph. ... Queens University, generally referred to simply as Queens, is a coeducational, non-sectarian, research-intensive university located in Kingston, Ontario, Canada. ... The Royal Society of Canada, (French: La Société royale du Canada) The Canadian Academy of the Sciences and Humanities, is the senior national body of distinguished Canadian scientists and scholars. ...


Granville's work is mainly in number theory, in particular analytic number theory. Along with Carl Pomerance and W. R. (Red) Alford he proved the infinity of Carmichael numbers in 1994. It was published in Annals Math. 140 (1994), 703–722 with the title "There are infinitely many Carmichael numbers", this proof was based on a conjecture given by Paul Erdős. Number theory is the branch of pure mathematics concerned with the properties of numbers in general, and integers in particular, as well as the wider classes of problems that arise from their study. ... Analytic number theory is the branch of number theory that uses methods from mathematical analysis. ... One of the top number theorists of our time, Carl Pomerance received his PhD from Harvard University in 1972 and immediately joined the faculty at the University of Georgia, becoming full professor in 1982. ... W. R. (Red) Alford was an American mathematician who worked in the field of number theory. ... In number theory, a Carmichael number is a composite positive integer n which satisfies the congruence for all integers b which are relatively prime to n (see modular arithmetic). ... Paul ErdÅ‘s also Pál ErdÅ‘s, in English Paul Erdos or Paul Erdös, (March 26, 1913 – September 20, 1996) was an immensely prolific (and famously eccentric) Hungarian mathematician who, with hundreds of collaborators, worked on problems in combinatorics, graph theory, number theory, classical analysis, approximation theory, set...


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