Hugh Lowell Montgomery

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Hugh Lowell Montgomery
Hugh Montgomery at Oberwolfach 2008.jpg
Hugh Montgomery in 2008
BornAugust 26, 1944 (1944-08-26) (age 77)
Alma materUniversity of Cambridge
Known forAnalytic number theory
AwardsAdams Prize (1972)
Salem Prize (1974)
Scientific career
InstitutionsUniversity of Michigan
Doctoral advisorHarold Davenport
Doctoral studentsBrian Conrey
Russell Lyons

Hugh Lowell Montgomery (born August 26, 1944) is an American mathematician, working in the fields of analytic number theory and mathematical analysis. As a Marshall scholar, Montgomery earned his Ph.D. from the University of Cambridge.[1] For many years, Montgomery has been teaching at the University of Michigan.

He is best known for Montgomery's pair correlation conjecture, his development of the large sieve methods and for co-authoring (with Ivan M. Niven and Herbert Zuckerman) one of the standard introductory number theory texts, An Introduction to the Theory of Numbers, now in its fifth edition (ISBN 0471625469).

In 1974 Montgomery was an invited speaker of the International Congress of Mathematicians (ICM) in Vancouver.[2] In 2012 he became a fellow of the American Mathematical Society.[3]



  1. ^ Hugh Lowell Montgomery at the Mathematics Genealogy Project
  2. ^ Montgomery, Hugh L. (1974). "Distribution of the zeros of the Riemann zeta function". In: Proceedings Int. Cong. Math. Vancouver. Vol. 1. pp. 379–381.
  3. ^ List of Fellows of the American Mathematical Society, retrieved 2013-02-10.
  4. ^ Hassani, Medhi (July 16, 2008). "Review of Multiplicative number theory, 3rd edition, revised and with a preface by Hugh L. Montgomery". MAA Reviews, Mathematical Association of America.
  5. ^ Stenger, Allen (December 23, 2008). "Review of An introduction to the theory of numbers, 5th edition, by Ivan M. Niven, Herbert S. Zuckerman, and Hugh L. Montgomery". MAA Reviews, Mathematical Association of America.

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