Parker Evans

activity

20242026

collaborators

6 papers

math.DG2026

Polynomial Maximal Surfaces in H^{2,2} and Spherical Polygons

Parker Evans, Alex Moriani

We study the moduli space of complete maximal surfaces in pseudo-hyperbolic space $H^{2, 2}$ with polygonal asymptotic boundary a lightlike $(n + 4)$ -gon in the Einstein univ…

math.GT2026

On Line-Hyperplane Structures for Hitchin Representations

Parker Evans, Andrea Tamburelli

Let $n \geq 4$ and $ρ : π_{1} S \to P S L (n, R)$ be a Hitchin representation. We study the topology of a cocompact domain of discontinuity $Ω_{ρ}$ in the flag manifold $\ma…

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…

math.DG2024

Geometric Structures for the $G_{2}^{'}$ -Hitchin Component

Parker Evans

We give an explicit geometric structures interpretation of the $G_{2}^{'}$ -Hitchin component $H i t (S, G_{2}^{'}) \subset χ (π_{1} S, G_{2}^{'})$ of a closed oriented surface $S$ of genus $g \geq 2$ . In…

Polynomial Maximal Surfaces in H^{2,2} and Spherical Polygons

On Line-Hyperplane Structures for Hitchin Representations

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

G2′​-Slodowy Slices I: Geometric Structures

Transverse Spheres in Flag Manifolds

Geometric Structures for the G2′​-Hitchin Component

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

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

Geometric Structures for the $G_{2}^{'}$ -Hitchin Component