Paper041_The_Supermax.

We prove that the combined output of ten leading mathematicians—Peter Scholze, Jacob Lurie, June Huh, Ciprian Manolescu, Mohammed Abouzaid, Bhargav Bhatt, Maryna Viazovska, Terence Tao, Akshay Venkatesh, and Larry Guth—reduces, without remainder, to the Lattice Spectral Classification Theorem (Paper 10 of this series). Each body of work identifies a finite lattice, constructs a self-adjoint operator on it, and reads invariants from the Jordan–Chevalley decomposition T = S + N via four operations: rank, ker, tr, Nk = 0. The reductions are organized by mathematician. In every case, the lattice is identified, the operator is named, the sector (S, N, or S + N) is specified, and the readout mechanism is translated into rank-nullity. Everything else is notation. Dedicated to the inmates, who did nothing wrong except not notice what they were doing.