Background
He is a grandson of the poet and author Oliver West F Lodge and a great-grandson of the physicist Sir Oliver Lodge.
He is a grandson of the poet and author Oliver West F Lodge and a great-grandson of the physicist Sir Oliver Lodge.
From 1958 to 1962 Trotman attended Gig Mill School, Stourbridge, Worcestershire, where he was in the same class as Kay Partridge, now Dame Kay Davies.
He is a leading expert in an area of singularity theory known as the theory of stratifications, and particularly on properties of stratifications satisfying the Whitney conditions and other similar conditions (due to René Thom, Tzee-Char Kuo, Jean-Louis Verdier, Trotman himself, and Karim Bekka for example) important for understanding topological stability. He carried out doctoral work at the University of Warwick, and the University of Paris-Sud, Orsay. His thesis, entitled Whitney Stratifications: Faults and Detectors, was directed by Christopher Zeeman while at Warwick, and Bernard Teissier and René Thom while at Orsay, although Terry Wall and Robert MacPherson were major influences.
After positions at the University of Paris-Sud and the University of Angers, since 1988 Trotman has been Professor of Mathematics at the University of Provence in Marseilles, France, now called Aix-Marseille University.
He has held visiting positions at Cornell University, the University of Hawaii, the Isaac Newton Institute, Cambridge, England, the Mathematical Sciences Research Institute in Berkeley, United States of America, and the Fields Institute in Toronto, Canada. Trotman has directed eleven Doctor of Philosophy theses.
Among his research students are Patrice Orro, Karim Bekka, Stéphane Simon, Claudio Murolo, Georges Comte, Dwi Juniati and Guillaume Valette.
Trotman was Director of the Graduate School in Mathematics and Computing of Marseilles from 1996 to 2004, and was an elected member of the Christopher Newport University (the French National University Council) from 1999 until 2007.