David Michael Avis earned his Ph.D. from Stanford University in 1977, marking the beginning of a career centered on geometric computations. A researcher operating across the intersection of mathematics and computer science, his contributions center on the vertex enumeration problem and the application of algorithmic solutions to complex spatial structures within the field of computational geometry.
Academic Appointments
Avis holds professional positions in Canada and Japan. He serves as a professor in the School of Computer Science at McGill University in Montreal. His institutional affiliation expanded in 2010 when he joined the Department of Communications and Computer Engineering within the School of Informatics at Kyoto University. These roles facilitate his ongoing research in applied mathematics and computer science.
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The research output of David Avis encompasses more than 70 journal papers and articles. His most notable work involves the reverse-search algorithm, developed in collaboration with Komei Fukuda. This specific method addresses the vertex enumeration problem by generating all vertices of a convex polytope. The technique has proven significant for those examining the properties and boundaries of multi-dimensional geometric shapes.
Professional Scope
As a mathematician and computer scientist, his work reflects the mid-twentieth-century trend of increasing specialization within the mathematical sciences. By applying computational methods to geometric problems, he aligns his research with broader developments in computer science. His work remains within the academic record, building on the rigorous training provided during his doctoral studies at Stanford.
Fast facts
- Born: 20 March 1951
- Citizenship: United Kingdom
- Education: Stanford University, 1977
- Primary Occupation: Computer scientist and mathematician
- Affiliation: McGill University
- Affiliation: Kyoto University
Questions readers ask
What is the primary focus of David Avis's research?
He focuses on computational geometry, specifically the vertex enumeration problem for convex polytopes.
Where does David Avis currently work?
He maintains academic positions at both McGill University and the School of Informatics at Kyoto University.
Achievements
- Held posts at McGill University
- Fields: mathematics
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