As Hanson completed his doctoral work, Fubini introduced him to
Tullio Regge, with whom he was a postdoc at the
Institute for Advanced Study in Princeton from 1971 to 1973. (Both Fubini and Regge had by coincidence studied physics at Torino with Wataghin shortly before the Hanson family came to Torino.) He spent the 1973–1974 academic year at Cornell and then was at SLAC from 1974 to 1976 and LBL from 1976 to 1978. He worked briefly at the
Exploratorium for
Frank Oppenheimer, was employed in the Silicon Valley software industry, and then joined the machine vision group of the
SRI International Artificial Intelligence Center in 1980. In 1989, he moved to
Indiana University Bloomington, where he served as Computer Science Department Chair from 2004 to 2009, retiring in 2012, and continues as an Emeritus faculty member. Hanson's physics research ranges from early aspects of string theory to field theory and general relativity. In 1978, he and
Tohru Eguchi derived the Eguchi-Hanson metric, the first gravitational instanton, the class of Einstein solutions bearing the closest known resemblance to the BPST Yang-Mills instanton discovered in 1975. He and Eguchi shared second prize in the 1979
Gravity Research Foundation competition. During his decade at the SRI International Artificial Intelligence Center, he worked on the DARPA Image Understanding Testbed and related machine vision projects. At Indiana University, he turned to research in computer graphics and scientific visualization. Hanson's work there focused on virtual reality, the fourth dimension, and quaternion maps of orientation spaces, leading to the monograph
Visualizing Quaternions published in 2006 and finally to
Visualizing More Quaternions published in 2024. Recent work has dealt with quantum computing, quaternion methods for proteomics analysis, and computer graphics representations of
Calabi-Yau spaces related to the hidden dimensions of string theory. His interactive graphics approach to understanding the fourth dimension is reflected in the iPhone Apps 4Dice and 4DRoom. File:CalabiYau5.jpg|A 2D slice of a 6D Calabi-Yau quintic manifold. File:CY5-6D-lattice.jpg|Calabi-Yau 6D quintic represented as a sampled lattice. == References ==