Parker Evans

activity

20242026

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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…