Pieter Belmans

activity

20152026

most citedDerived categories of (nested) Hilbert schemes

16 citations · 111 across the 28 of their papers we have counts for

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math.PR2026

Can one hear the shape of a lattice random walk?

Pieter Belmans, Sergey Galkin, Swarnava Mukhopadhyay

We construct distinct high-dimensional mean-zero finite range lattice random walks having pairwise-equal return probabilities for all step counts. The same examples provide pairwis…

math.AG2026

The hyperkähler period-index conjecture is false

Pieter Belmans, James Hotchkiss

Huybrechts conjectured that for every Brauer class $α$ on a hyperkähler variety $X$ we have that $ind (α) ∣ per (α)^{d i m (X) /2}$ , strengthening the usual p…