Daniel Ketover

most citedFree boundary minimal surfaces of unbounded genus

29 citations · 51 across the 3 of their papers we have counts for

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math.DG2024

Genus one critical catenoid

Giada Franz, Daniel Ketover, Mario B. Schulz

We use variational methods to construct a free boundary minimal surface in the three-dimensional unit ball with genus one, two boundary components and prismatic symmetry. Key ingre…

math.DG2016★ 22 cited

Equivariant min-max theory

Daniel Ketover

We develop an equivariant min-max theory as proposed by Pitts-Rubinstein in 1988 and then show that it can produce many of the known minimal surfaces in $S^{3}$ up to genus…

math.DG2016★ 29 cited

Free boundary minimal surfaces of unbounded genus

Daniel Ketover

For each integer $g \geq 1$ we use variational methods to construct in the unit $3$ -ball $B$ a free boundary minimal surface $Σ_{g}$ of symmetry group $D_{g + 1}$ . For $g$ larg…