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Award ID contains: 2001071

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  1. ; ; (, Inventiones mathematicae)
    Abstract The Dedekind zeta functions of infinitely many non-Galois cubic fields have negative central values. 
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    Free, publicly-accessible full text available October 7, 2026
  2. ; (, Duke Mathematical Journal)
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  3. ; (, Journal of the American Mathematical Society)
    Let G G be a split semisimple group over a function field. We prove the temperedness at unramified places of automorphic representations of G G , subject to a local assumption at one place, stronger than supercuspidality, and assuming the existence of cyclic base change with good properties. Our method relies on the geometry of Bun G \operatorname {Bun}_G . It is independent of the work of Lafforgue on the global Langlands correspondence. 
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  4. ; (, Algebra & Number Theory)
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