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While in the sixth form at school, Stewart came to the attention of the mathematics teacher. The teacher had Stewart sit mock A-level examinations without any preparation along with the upper-sixth students; Stewart placed first in the examination. This teacher arranged for Stewart to be admitted to Cambridge on a scholarship to Churchill College, where he obtained a BA in Mathematics. Stewart then went to the University of Warwick for his doctorate, on completion of which in 1969 he was offered an academic position at Warwick. He is now Professor of Mathematics at the University of Warwick. He is well known for his popular expositions of mathematics and his contributions to catastrophe theory.
While at Warwick he edited the mathematical magazine Manifold.
Stewart has held visiting academic positions in Germany (1974), New Zealand (1976), and the U.S. (University of Connecticut 1977–78, University of Houston 1983–84).
In 1995 Stewart received the Michael Faraday Medal and in 1997 he gave the Royal Institution Christmas Lectures. He was elected as a Fellow of the Royal Society in 2001.
He has collaborated with Dr Jack Cohen and Terry Pratchett on three popular science books based on Pratchett's Discworld. In 1999 Terry Pratchett made both Jack Cohen and Professor Ian Stewart "Honorary Wizards of the Unseen University" at the same ceremony at which the University of Warwick gave Terry Pratchett an honorary degree.
Stewart has published more than 140 scientific papers, including a series of influential papers co-authored with Jim Collins on coupled oscillators and the symmetry of animal gaits.
Stewart was married to his wife, Avril, in 1970. They met at a party at a house Avril was renting while she trained as a nurse. They have two sons.<1> He lists his recreations as science fiction, painting, guitar, keeping fish, geology, Egyptology and snorkeling.