Kevin Ford (mathematician)
Kevin B. Ford is an American mathematician working in analytic number theory.
He has been a professor in the department of mathematics of the University of Illinois at Urbana-Champaign since 2001. Prior to this appointment, he was a faculty member at the University of South Carolina.
Ford received a Bachelor of Science in Computer Science and Mathematics in 1990 from the California State University, Chico. He then attended the University of Illinois at Urbana-Champaign, where he completed his doctoral studies in 1994 under the supervision of Heini Halberstam. In 2013, he became a fellow of the American Mathematical Society.
Ford's early work focused on the distribution of Euler's totient function. In 1998, he published a paper that studied in detail the range of this function and established that Carmichael's totient function conjecture is true for all integers up to.
In 1999, he settled Sierpinski’s conjecture.
In August 2014, Kevin Ford, in collaboration with Green, Konyagin and Tao,
resolved a longstanding conjecture of Erdős on large gaps between primes, also proven independently by James Maynard
.
The five mathematicians were awarded for their work the largest Erdős prize ever offered.
In 2017, they improved their results in a joint paper.
