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 associate professor in 1973 and full professor in 1975. At the University of Michigan, he advised 19 doctoral students, including Sidney Graham in 1977, Brian Conrey in 1980, and Russell Lyons in 1983. He retired as a professor emeritus in 2020.
Recognition Montgomery was a 1972 recipient of the Adams Prize, and the 1974 recipient of the Salem Prize.
In 1974, Montgomery was an invited speaker of the International Congress of Mathematicians (ICM) in Vancouver. In 2012, he became a fellow of the American Mathematical Society.List of Fellows of the American Mathematical Society, retrieved February 10, 2013.
Selected publications Books Reviews of Topics in Multiplicative Number Theory: H.-E. Richert, ; Wolfgang Schwarz, Reviews of An Introduction to the Theory of Numbers (5th ed): Allen Stenger, MAA Reviews; Bodo Volkmann, ; P. Shiu, The Mathematical Gazette, , Reviews of Ten Lectures on the Interface Between Analytic Number Theory and Harmonic Analysis: John B. Friedlander, ; I. Z. Ruzsa, ; Richard R. Hall, Bulletin of the London Mathematical Society, Reviews of Multiplicative Number Theory I: Wolfgang Schwarz, ; Jan-Christoph Schlage-Puchta, Reviews of Early Fourier Analysis: Michael T. Lacey, ; Elijah Liflyand,
Research articles
References
External links
Official Page An Introduction to the Theory of Numbers, Fifth Edition page