| Daniel Goldston | |
| Birth Date: | 4 January 1954 |
| Birth Place: | Oakland, California, US |
| Fields: | Mathematics |
| Workplaces: | San Jose State University |
| Alma Mater: | University of California, Berkeley |
| Doctoral Advisor: | Russell Lehman |
| Thesis Title: | Large differences between consecutive prime numbers |
| Thesis Year: | 1981 |
| Known For: | GPY theorem in number theory |
| Awards: | Cole Prize (2014) |
Daniel Alan Goldston (born January 4, 1954, in Oakland, California) is an American mathematician who specializes in number theory. He is currently a professor of mathematics at San Jose State University.
Daniel Alan Goldston was born on January 4, 1954, in Oakland, California. In 1972, he matriculated to the University of California, Berkeley, where he earned his bachelor's degree and, in 1981, a Ph.D. in mathematics. His doctoral advisor at Berkeley was Russell Sherman Lehman; his dissertation was entitled "Large Differences between Consecutive Prime Numbers".[1]
After earning his doctorate, Goldston worked at the University of Minnesota Duluth and then spent the next academic year (1982–83) at the Institute for Advanced Study (IAS) in Princeton. He has worked at San Jose State University since 1983, save for stints at the IAS (1990), the University of Toronto (1994), and the Mathematical Sciences Research Institute in Berkeley (1999).
In 2009, Goldston, János Pintz, and Cem Yıldırım proved:
\liminfn\toinfty
| pn+1-pn | |
| logpn |
=0
where
pn
c>0
pn
pn+1
c
pn+1-pn<clogpn
In 2014, Goldston won the Cole Prize, shared with Yitang Zhang and colleagues Cem Yildirim and János Pintz, for his contributions to number theory. Also, Goldston was named to the 2021 class of fellows of the American Mathematical Society "for contributions to analytic number theory".