Parker Evans

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20242026

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math.GT2025

On Einstein Structures for $SO_{0} (p, p + 1)$ -Surface Group Representations

Colin Davalo, Parker Evans

Let $S$ be a closed surface of genus $g \geq 2$ . We study the cocompact domain of discontinuity $Ω_{ρ}$ in the Einstein universe $Ein^{p - 1, p}$ defined by Guichard-Wienhard a…

math.DG2025

$G_{2}^{'}$ -Slodowy Slices I: Geometric Structures

Colin Davalo, Parker Evans

Let $S$ be a closed surface of genus $g \geq 2$ . We construct locally homogeneous geometric structures on closed 5-manifolds fibering over $S$ , modeled on the two partial flag mani…

math.GT2025

Transverse Spheres in Flag Manifolds

Parker Evans, J. Maxwell Riestenberg

For some partial flag manifolds of semisimple real Lie groups, including many full flag manifolds, transverse circles are known to be locally maximally transverse. We complete the…

On Einstein Structures for SO0​(p,p+1)-Surface Group Representations

G2′​-Slodowy Slices I: Geometric Structures

Transverse Spheres in Flag Manifolds

On Einstein Structures for $SO_{0} (p, p + 1)$ -Surface Group Representations

$G_{2}^{'}$ -Slodowy Slices I: Geometric Structures