My early interest was in differential geometry and general relativity, leading to results in exact solution theory. The demanding nature of this field also revealed the value of symbolic algebraic computing in higher mathematics. As a result, I pursued further graduate work (as part of the Symbolic Computation Group at the University of Waterloo) involving the use of Groebner bases for polynomial ideals in solving systems of algebraic equations. My subsequent research has bridged the two areas, applying techniques of symbolic computing to long-standing and difficult problems of Applied Mathematics such as those due to H. Brinkman and to J. Hadamard.