Avis is a professor in computational geometry and applied mathematics in the School of Computer Science, McGill University, in Montreal. Since 2010, he belongs to Department of Communications and Computer Engineering, School of Informatics, Kyoto University. Avis received his Doctor of Philosophy in 1977 from Stanford University.
He has published more than 70 journal papers and articles
Writing with Komei Fukuda, Avis proposed a reverse-search algorithm for the vertex enumeration problem. Their algorithm generates all of the vertices of a convex polytope.
He has a collaboration article with Paul Erdőson Therefore, his Erdős number is 1.