David John Angelo Trotman[1] (born 27 September 1951) is a mathematician, with dual British and French nationality.

He works 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, Karim Bekka and others) important for understanding topological stability.

His thesis, entitled Whitney Stratifications: Faults and Detectors, was directed by Christopher Zeeman and C. T. C. Wall while at Warwick, and Bernard Teissier and René Thom while at Orsay.

Among his research students are Patrice Orro, Karim Bekka, Claudio Murolo, Georges Comte, Dwi Juniati and Guillaume Valette.

[1] Trotman was Director of the Graduate School in Mathematics and Computing of Marseilles from 1996 to 2004, and was an elected member of the CNU (the French National University Council) from 1999 until 2007.