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Award ID contains: 1902173

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  1. ; (, Compositio Mathematica)
    Let $$G$$ be an anisotropic semisimple group over a totally real number field $$F$$ . Suppose that $$G$$ is compact at all but one infinite place $$v_{0}$$ . In addition, suppose that $$G_{v_{0}}$$ is $$\mathbb{R}$$ -almost simple, not split, and has a Cartan involution defined over $$F$$ . If $$Y$$ is a congruence arithmetic manifold of non-positive curvature associated with $$G$$ , we prove that there exists a sequence of Laplace eigenfunctions on $$Y$$ whose sup norms grow like a power of the eigenvalue. 
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  2. (, International Mathematics Research Notices)
    Abstract We prove a power saving over the trivial bound for the number of cohomological cuspidal automorphic representations of fixed level and growing weight on $$GL_3/{\mathbb{Q}}$$ by adapting the methods of our earlier paper on $$GL_2$$. 
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