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David Webb is an American mathematician known for his work on hearing the shape of a drum.
Webb attended Cornell University, where he received his PhD in 1983 under the supervision of Kenneth Stephen Brown. He is currently a professor of mathematics at Dartmouth College in Hanover, New Hampshire.
In 2001 Webb and co-author Carolyn S. Gordon were awarded the Mathematical Association of America Chauvenet Prize for their 1996 American Scientist paper, "You can't hear the shape of a drum".