Patrick X. Gallagher
Patrick Ximenes Gallagher (January 2, 1935 – March 10, 2019)[1][2] was an American mathematician who pioneered large sieve theory and invented the larger sieve.
Patrick X. Gallagher | |
---|---|
Born | |
Died | March 30, 2019 84) | (aged
Nationality | American |
Alma mater | Harvard University Princeton University |
Known for | large sieve larger sieve |
Awards | Columbia University Presidential Teaching Award (2005) |
Scientific career | |
Fields | Mathematics |
Institutions | Columbia University Barnard College Institute for Advanced Study |
Doctoral advisor | Donald C. Spencer |
Doctoral students | Dorian M. Goldfeld |
Biography
Early life
Patrick Ximenes Gallagher was born on January 2, 1935 in Elizabeth, New Jersey to school superintendent Ralph P. Gallagher and elementary school teacher Natalie Forcheimer Gallagher.[2][3][4] Gallagher graduated from Bound Brook High School and received a scholarship from the Harvard Club of New Jersey to attend Harvard University.[4][5]
Education
In 1956, Gallagher received a B.A. degree magna cum laude from Harvard University.[6][4] At Harvard, he was a member of the Harvard Mathematics Club and Eliot House Mathematics-Physics Club and completed an undergraduate honors thesis entitled On a property of some entire functions.[5] In 1959, Gallagher received a PhD from Princeton University with a doctoral dissertation entitled Metric Diophantine Approximation in One and Several Dimensions completed under the supervision of Donald C. Spencer.[7]
Career
Gallagher held positions at the Institute for Advanced Study (1964–1965) and Barnard College (1965–1972).[6] In 1972, he became a Professor of Mathematics at Columbia University and he became Director of Undergraduate Studies in the Department of Mathematics in 2013.[8][9] He retired from Columbia in 2017 and was Professor Emeritus until his death in 2019.[1]
Research
In the 1960s and 1970s, Gallagher proved several results in large sieve methods in analytic number theory and simplified key ingredients used in the proof of the Bombieri–Vinogradov theorem.[10][11] He also applied the large sieve to study the asymptotics of Galois groups of monic integral polynomials of bounded height, improving on results by van der Waerden.[12][13]
In 1971, he invented the larger sieve.[14]
Family
His wife, Minh Chau Gallagher, was born in Hanoi to Roman Catholic parents.[15] Their son Andrew P. Gallagher was born in 1962.
References
- "Memorial Conference for Patrick Ximenes Gallagher". Columbia University. August 21, 2019. Retrieved August 26, 2019.
- American Men and Women of Science. Gale. 2004.
- "Natalie F. Gallagher, active in community". Courier News. February 4, 1995. p. B-2. Retrieved December 28, 2019.
- "Gets Princeton Assistant Post". Courier News. June 16, 1956. p. 12. Retrieved December 28, 2019.
- "Bound Brook Man Awarded Assistantship At Princeton". The Central Jersey Home News. June 17, 1956. p. 8. Retrieved December 28, 2019.
- "Patrick X. Gallagher". Institute for Advanced Study. Retrieved February 8, 2019.
- Patrick X. Gallagher at the Mathematics Genealogy Project
- "Patrick Gallagher". Columbia University. Retrieved February 8, 2019.
- Tunnell, Amber (March 27, 2013). "Over Past 12 Years, Grade Inflation Increases". Columbia Daily Spectator. Retrieved February 8, 2019.
- Tenenbaum, Gérald (2015). Introduction to Analytic and Probabilistic Number Theory. Graduate Studies in Mathematics. 163. American Mathematical Society. pp. 102–104. ISBN 9780821898543.
- Iwaniec, Henryk; Kowalski, Emmanuel (2004). Analytic Number Theory. Colloquium Publications. 53. American Mathematical Society. p. 183. ISBN 978-0-8218-3633-0.
- Gallagher, Patrick X. (1973). "The large sieve and probabilistic Galois theory". In Diamond, Harold G. (ed.). Analytic number theory. Proceedings of Symposia in Pure Mathematics. 24. American Mathematical Society. pp. 91–101.
- Kowalski, Emmanuel (August 8, 2007). "The large sieve inequalities". Terry Tao Wordpress. Retrieved February 8, 2019.
- Gallagher, Patrick (1971). "A larger sieve". Acta Arithmetica. 18: 77–81.
- Sokolov, Raymond A. (July 22, 1971). "She Learned How to Cook as a Girl in Hanoi". NY Times.
Born in Hanoi of Roman Catholic parents, she attended Boston College and has been in the United States ever since.