Professor Mark Giesbrecht is the Dean of the Faculty of Math at the University of Waterloo. His research interests are in the area of computer algebra, algebraic algorithms and computational complexity. He is a member of the Symbolic Computation Group in Waterloo, and a founding member of the Ontario Research Centre for Computer Algebra with Waterloo and Western Ontario.
He is an active participant in the computer algebra research community and has served as Program Committee Chair of the International Symposium on Symbolic and Algebraic Computation (ISSAC 2013) and the Chair of the ACM Special Interest Group on Symbolic and Algebraic Computation (ACM SIGSAM). His work focuses on many aspects of computer algebra, from the design and complexity analyses of fundamental algorithms for matrices and polynomials, to algorithms for approximate or symbolic-numeric problems, to the design of efficient generic software libraries for symbolic computation.
With his graduate students and colleagues, some of the research topics he has addressed are as follows: algorithms for sparse polynomials and matrices; symbolic linear algebra and solving systems of linear diophantine equations; computing with associative algebras and modular group representations; symbolic-numeric computation, including approximate polynomial factorization and approximate sparse interpolation.
Mark maintains an active industrial collaboration with Waterloo Maple Inc. He spent his most recent sabbatical in the MMRC at the Chinese Academy of Science in Beijing, and at the Laboratoire LIP, ENS Lyon.