In 1977, Ferguson and another mathematician,
Rodney Forcade, developed an algorithm for integer relation detection. It was the first viable generalization of the Euclidean algorithm for three or more variables. He later developed a more notable integer relation detection algorithm – the
PSLQ algorithm – which was selected as one of the "Top Ten Algorithms of the Century" by
Jack Dongarra and Francis Sullivan. In January 2014, Ferguson and his wife Claire Ferguson delivered an MAA Invited Address, titled "Mathematics in Stone and Bronze," at the Joint Math Meetings in Baltimore Maryland. He is an active artist, often representing mathematical shapes in his works. One of the first bronze torii sculpted by Ferguson was exhibited at a computer art exhibition in 1989 at the Computer Museum in Boston. His most widely known piece of art is a 69 cm (27") bronze sculpture,
Umbilic Torus. In 2010, the
Simons Foundation, a private institution committed to the advancement of science and mathematics, commissioned him to create the
Umbilic Torus SC, a massive 8.5 m (28½') high sculpture in cast bronze and granite weighing more than nine tons. With its installation completed in 2012, the torus sculpture was donated to
Stony Brook University in Long Island, N.Y., and sits outside the Math and Physics buildings of the same university, near the
Simons Center for Geometry and Physics. Mounted on a stainless steel column, the torus sits on a 7.7 m (25¼') diameter granite base, where various mathematical formulas defining the torus are inscribed. To create the huge sculpture, Ferguson wrote a program consisting of 25,000 movements to control a 4.9 m (16') x 6.1 m (20') robot arm and its affixed 30 cm (12") long industrial diamond-encrusted cutting tool. == Juggling ==