Clarence Lemuel Elisha Moore (12 May 1876, in Bainbridge, Ohio – 5 December 1931) was an American mathematics professor, specializing in algebraic geometry and Riemannian geometry.
He is chiefly remembered for the memorial eponymous C. L. E. Moore instructorship at the Massachusetts Institute of Technology; this prestigious instructorship has produced many famous mathematicians, including three Fields medal winners: Paul Cohen, Daniel Quillen, and Curtis T. McMullen.
His doctoral dissertation was entitled Classification of the surfaces of singularities of the quadratic spherical complex with Virgil Snyder as thesis advisor.
In 1920 he was one of the founders of the MIT Journal of Mathematics and Physics.
He remained at MIT until his death in 1931 following a surgical operation.