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Creators/Authors contains: "Balderrama, William"

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  1. ; ; (, Journal of the European Mathematical Society)
    We identify the motivicKGL/2-local sphere as the fiber of\psi^{3}-1on(2,\eta)-completed HermitianK-theory, over any base scheme containing1/2. This is a motivic analogue of the classical resolution of theK(1)-local sphere, and extends to a description of theKGL/2-localization of an arbitrary motivic spectrum. Our proof relies on a novel conservativity argument that should be of broad utility in stable motivic homotopy theory. 
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    Free, publicly-accessible full text available April 4, 2026
  2. ; ; (, Geometry & Topology)
    Free, publicly-accessible full text available January 1, 2026
  3. (, Transactions of the American Mathematical Society)
    We describe how power operations descend through homotopy limit spectral sequences. We apply this to describe how norms appear in the C 2 C_2 -equivariant Adams spectral sequence, to compute norms on π<#comment/> 0 \pi _0 of the equivariant K U KU -local sphere, and to compute power operations for the K ( 1 ) K(1) -local sphere. An appendix contains material on equivariant Bousfield localizations which may be of independent interest. 
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  4. (, Algebraic & Geometric Topology)
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  5. ; (, Homology, Homotopy and Applications)
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  6. (, NYJM)
    Accepted Manuscript Full Text Available
  7. (, New York journal of mathematics)
    Accepted Manuscript Full Text Available