Patrice Sawyer was a faculty member in the Department of Mathematics and Computer Science at UPEI (1989-1990) and in the Department of Mathematics and Statistics (1990-1994). Patrice then joined Laurentian University in 1994 in the Department of Mathematics and Computer Science.
Representative of the Natural Sciences and Engineering Research Council of Canada (NSERC) at Laurentian from 2000-2008, he has also contributed as a member of several research-intensive boards of directors, including the SNOLAB Institute, the Mining Innovation, Rehabilitation and Applied Research Corporation (MIRARCO) and the Shared Hierarchical Academic Research Computing Network (SHARCNET). Over the past 19 years, he has been active on several university committees, including on the board of the Laurentian University Faculty Association.
Now, a full professor with the department of mathematics and computer science, Patrice Sawyer served as Chair of the Department of Mathematics and Computer Science.
In 2006, he was named Dean of the Faculty of Science and Engineering. In 2008, he was appointed acting vice-president, first in the portfolio of francophone affairs and academic staff relations, and later in the research and graduate studies portfolio. More recently, he added Francophone affairs to his responsibilities.
My current research centers on the product formula on symmetric spaces of noncompact type. The question that we study is the following: Under which circumstance is the measure $mu_{X,Y}$ defined by $phi_lambda(e^X),phi_lambda(e^Y) =int_{a},phi_lambda(e^H),dmu_{X,Y}$ absolutely continuous with respect to the Lebesgue measure? This is known to be equivalent to the set $a(e^X,K,e^K)$ having nonempty interior where $g=k_1,e^{a(g)},k_2$ (Cartan decomposition) with $a(g)inoverline{a^+}$ and $k_iin K$.
This research is done in collaboration with Piotr Graczyk at the Université d'Angers.