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Poissonian correlations of $\alpha n^d$ mod $1$

math.NT · 2026-05-07 · unverdicted · novelty 8.0 · 2 refs

α n^d mod 1 exhibits Poissonian ℓ-point correlations for almost all α when d is large (depending on ℓ) and for a full-dimensional set of badly approximable α via determinant method counting and Fourier transference.

Birational Algebraic Topology

math.AG · 2026-06-22 · unverdicted · novelty 6.0

Birational localization of motivic spaces over perfect fields is equivalent to S^{2,1}-nullification, making π0^{b A^1} a birational invariant for proper schemes.

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  • Poissonian correlations of $\alpha n^d$ mod $1$ math.NT · 2026-05-07 · unverdicted · none · ref 118 · 2 links

    α n^d mod 1 exhibits Poissonian ℓ-point correlations for almost all α when d is large (depending on ℓ) and for a full-dimensional set of badly approximable α via determinant method counting and Fourier transference.

  • A connection between minimal nilpotent orbits of types A and D via Hamiltonian reduction math.RT · 2026-05-05 · unverdicted · none · ref 114

    Affine closure of T*O_n in sl_n is isomorphic via C*-Hamiltonian reduction to the minimal nilpotent orbit closure in so_{2n+2}, and has no symplectic resolution.

  • Birational Algebraic Topology math.AG · 2026-06-22 · unverdicted · none · ref 54

    Birational localization of motivic spaces over perfect fields is equivalent to S^{2,1}-nullification, making π0^{b A^1} a birational invariant for proper schemes.