Isospectral locally symmetric manifolds David Mcreynolds 58J5311F06isospectral towersimple Lie groupSunada\'s methodsymmetric space In this article, we construct closed, isospectral, non-isometric locally symmetric manifolds. We have three main results. First, we construct arbitrarily large sets of closed, isospectral, non-isometric manifolds. Second, we show how the growth in size of these sets of isospectral manifolds as a function of volume is super-polynomial. Finally, we construct pairs of infinite towers of finite covers of a closed manifold that are isospectral and non-isometric at each stage. Indiana University Mathematics Journal 2014 text pdf 10.1512/iumj.2014.63.5242 10.1512/iumj.2014.63.5242 en Indiana Univ. Math. J. 63 (2014) 533 - 549 state-of-the-art mathematics http://iumj.org/access/