Education
Born in Texas, Curtis earned a bachelor"s degree in 1948 from Texas Agricultural and Industrial University, and received his Doctor of Philosophy in 1951 from the University of Michigan under the supervision of Raymond Louis Wilder.
Born in Texas, Curtis earned a bachelor"s degree in 1948 from Texas Agricultural and Industrial University, and received his Doctor of Philosophy in 1951 from the University of Michigan under the supervision of Raymond Louis Wilder.
Subsequently, he taught mathematics at Florida State University before moving to Rice. At Rice, he was the Doctor of Philosophy advisor of well-known mathematician John Morgan. Curtis is, with James J. Andrews, the namesake of the Andrews–Curtis conjecture concerning Nielsen transformations of balanced group presentations.
Andrews and Curtis formulated the conjecture in a 1965 paper.
lieutenant remains open. Together with Gustav A. Hedlund and Roger Lyndon, he proved the Curtis–Hedlund–Lyndon theorem characterizing cellular automata as being defined by continuous equivariant functions on a shift space. Curtis was the author of two books, Matrix Groups (Springer-Verlag, 1979), and Abstract Linear Algebra (Springer-Verlag, 1990).