Accumulation of spherical singularities at a cylindrical singularity

Determine whether a sequence of spherical singularities can converge to a cylindrical singularity in mean curvature flow.

Background

The paper relates firecracker behavior to another conjectural phenomenon involving the limiting behavior of singularities. The unresolved issue is whether spherical singularities may accumulate at, or converge to, a cylindrical singularity.

References

It would also be interesting to compare the firecracker with another conjectural example in , where Choi-Haslhofer-Hershkovits conjectured that there can not be a sequence of spherical singularities converging to a cylindrical singularity.

— Mean curvature flows with cylindrical singularities II: stability and genericity  (2609.19390 - Sun et al., 16 Sep 2026) in Section 1, paragraph following the firecracker conjecture