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| 1989 - 1991 | I.W. Killam Research Fellow |
| 1992 | The Jeffrey-Williams Lectureship, CMS Summer Meeting |
| 1993 | John L. Synge Award, The Royal Society of Canada |
| 1993 | Fellow of the Royal Society of Canada |
| 1997 | University Professor |
| 1998 | Norman Stuart Robertson Chair in Applied Mathematics |
| 2000 | CRM/Fields Institute Prize |
| 1979 | International Congress on Mathematical Physics, Lausanne |
| 1981 | International Congress on Mathematical Physics, W. Berlin |
| 1986 | International Congress on Mathematical Physics, Marseille |
| 1990 | Address to the joint AMS, AWM, MAA & NAM Annual Meeting, Louisville, Kentucky |
| 1990 | International Congress of Mathematics, Kyoto |
| 1992 | The Jeffrey-Williams lecturer at the CMS Meeting, Toronto, Canada |
| 1995 | 50th Anniversary Meeting of the CMS |
| 2000 | CRM/Fields Institute Prize |
| S. Dejak | (University of Toronto) | B. Vasilijevic | (R&D Dept., Excel Tech Ltd.) |
| M. Merkli | (Memorial University) |
| S. Gustafson | (University of British Columbia) |
| R. Pyke | (Simon Frazer) |
| I. Laba | (University of British Columbia) |
| F. Ahia | (University of Toronto) |
| D. Pravica | (East Carolina University) |
| A. Soffer | Rutgers University |
| P. Hislop | Univ. of Kentucky |
| S. de Bievre | Univ. de Lille |
| J.-P. Solovej | Copenhagen University |
| C.-A. Pillet | Univ. de Toulon |
| A. Sobolev | Univ. Birmingham |
| V. Jaksic | Univ. of Ottawa |
| Y. Strauss | Hebrew University |
| L. Jonsson | Royal Institute of Technology |
| G. Karali | University of Crete |
| P. Lushnikov | University of New Mexico |
| V. Vougalter | University of Missouri |