  We prove sharp spectral projection estimates for tori in all dimensions at
the exponent $p_c=\frac{2(n+1)}{n-1}$ for shrinking windows of width $1$ down
to windows of length $\lambda^{-1+\kappa}$ for fixed $\kappa>0$. This improves
and slightly generalizes the work of Blair-Huang-Sogge who proved sharp results
for windows of width $\lambda^{-\frac{1}{n+3}}$, and the work of Hickman,
Germain-Myerson, and Demeter-Germain who proved results for windows of all
widths but incurred a sub-polynomial loss. Our work uses the approaches of
these two groups of authors, combining the bilinear decomposition and
microlocal techniques of Blair-Huang-Sogge with the decoupling theory and
explicit lattice point lemmas used by Hickman, Germain-Myerson, and
Demeter-Germain to remove these losses.
