3 papers
math.RT2025
Weyl-invariant subspaces are (usually) not generic
Riku Kurama, Ruoxi Li, Henry Talbott +1
Let be a linear representation of a connected complex reductive group . Given a choice of character of , Geometric Invariant Theory defines a locus $V^{ss}_θ(G) \su…
math.DS2025
Dynamical zeta functions and resonance chains for infinite-area hyperbolic surfaces with large funnel widths
Henry Talbott
We quantitatively relate the resonance sets of topologically finite infinite-area hyperbolic surfaces with no cusps to the resonance sets of certain metric graphs via the spine gra…
math.GT2025
Critical Exponents on Hyperbolic Surfaces with Long Boundaries and the Asymptotic Weil-Petersson Form
Henry Talbott
We study the critical exponent random variable on moduli spaces of hyperbolic surfaces with boundary, using the normalized Weil-Petersson measures as probability…