Together with his former student John H. Hubbard, he launched a new subject, and a new school, studying properties of iterated quadratic complex mappings.
The book also includes invited Contributions by Benoît Mandelbrot, Adrien Douady, Gert Eilenberger and Herbert W. Franke, which provide additional formality and some historically interesting detail.
Adrien-Marie Legendre | Adrien Brody | Adrien Tambay | Adrien Douady | Adrien de Gerlache | Adrien René Franchet | Adrien Houngbédji | Adrien Albert Marie de Mun | L. Adrien Hannus | Jean-Marthe-Adrien L'Hermite | Adrien Ulacq | Adrien Stoutenburg | Adrien Niyonshuti | Adrien Arcand |
(This result is due to Adrien Douady for 0 characteristic and has its origins in Riemann's existence theorem. For a field of arbitrary characteristic it is due to David Harbater and Florian Pop, and was also proved later by Dan Haran and Moshe Jarden.)
The number of his official students was small, but includes Adrien Douady, Roger Godement, Max Karoubi, Jean-Louis Koszul, Jean-Pierre Serre and René Thom.