Professor Craig’s received his doctorate from the Courant Institute (1981), and he has held faculty positions at Caltech, Stanford University and Brown University, where he was department chair, before moving with his wife to McMaster in the year 2000.|
He is a prominent mathematical analyst, whose interests include partial differential equations, Hamiltonian dynamical systems, and their applications to the physical sciences. His contributions have been to theoretical aspects of these fields, as well as their applications to fundamental problems in physics, including small divisor problems in Hamiltonian partial differential equations, microlocal propagation of singularities for the Schrodinger equation, advances in the mathematical theory of water waves and their modeling, and progress on the important issue of regularity for solutions of the Navier - Stokes equations. He has authored more than 100 research articles.
He has organized several thematic programs at the Fields Institute, and has been a regular visiting member since his move to Canada. He served on the Fields Institute Scientific Advisory Panel (2000-2005), the Scientific Nominating Committee (2001-2005) and the Board of Directors (2009-2012). He has been awarded a Bantrell, a Sloan and a Killam Research Fellowships, and was elected as a Fellow of the Royal Society of Canada, of the AAAS and AMS, as well as a Fields Institute Fellow.
The Fields Institute is an international centre for research and training in all areas of the mathematical sciences and their applications. Every year, its programs attract more than 4000 participants from around the world. The Institute is supported by the Ontario Ministry of Training, Colleges and Universities, the Natural Sciences and Engineering Research Council of Canada, the National Science Foundation (US), and a growing list of partner universities in Canada, the United States, and Europe.
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