Gillet received in 1974 his master's degree from Kings College London; then as a postdoc, he was an instructor and an assistant professor at Princeton University from 1981.
Gillet received in 1974 his bachelor's degree from King's College London and in 1978 his Ph.D. from Harvard University under David Mumford with thesis Applications of Algebraic K-Theory to Intersection Theory. As a postdoc he was an instructor and from 1981 an assistant professor at Princeton University. 
