# Singular perturbation of minimal surfaces

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Stephen Kleene, MIT
Fine Hall 314

(w/ N. Kapouleas and N.M. M\o ller) I discuss recent work in which we use singular perturbation techniques  to show that the space of complete embedded minimal surfaces with four ends and genus $k$ ($\mathcal{M}(k,4)$) is non-empty and non-compact for large $k$.