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My main research interests are in the areas of linear algebra, matrix theory, and combinatorics. These interests
reside in many areas of mathematics ranging from applied to pure mathematics, and also computational
mathematics.
I continue to work on problems from combinatorial matrix theory, which, of course, overlap graph
theory and
linear algebra. Recently, I have been working on a number of different problems, including:
- Positivity classes of matrices (including such topics as: totally nonnegative matrices,
determinantal
inequalities, eigenvalue location problems, matrix completion problems, matrix inequalities);
- Algebraic graph theory & Combinatorial Matrix Theory (including such topics as: algebraic connectivity
and related topics, spectra of graphs, qualitative matrix theory,
inverse eigenvalue of graphs, algebraic graph
theory, zero forcing parameters).
Co-editor for a Special Issue of `Mathematics' on the topic: Spectral Graph Theory
and the Inverse Eigenvalue Problem of a Graph. For more information please visit this
link.
Education:
- University of Victoria (BSc Honours in Statistics, MSc in Mathematics),
- College of William and Mary (PhD in Applied Mathematics).
Research Achievements:
- Over 90 published research articles,
- Co-authored a book on totally nonnegative matrices published by PUP,
- Active research conference speaker and organizer,
- Associate Editor of `Linear Algebra and its Applications', `Operators and Matrices',
and the Canadian
Journal of Mathematics/Canadian Math Bulletin.
Awards / Recognition:
- U. Regina Alumni Association Teaching Award,
- Former PIMS Site Director at U. Regina,
- Olga Taussky-Todd Lecturer (2014),
- Inaugural Hans Schneider Lecturer (2015),
- Former Head of the Math & Stats Department.
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