3 papers
math.GR2026
Certifying Arithmeticity for Two Degree-Six Symplectic Hypergeometric Monodromy Groups
J. Maxwell Riestenberg, Diaaeldin Taha, Steve Trettel +1
We prove arithmeticity for two degree-six symplectic hypergeometric monodromy groups, called C-47, and C-55 in the paper \cite{BajpaiDonaNitsche2025Thin} by Bajpai-Dona-Nitsche. Th…
math.HO2025
Elliptic Curves and the Hopf Fibration
Nadir Hajouji, Steve Trettel
By combining tools from different areas of mathematics, we obtain 3D visualizations of elliptic curves over different fields that faithfully capture the underlying algebra and geom…
physics.gen-ph2025
Classical Optics for Charged Black Holes
Steve Trettel
We describe a method for rendering multiple extremally charged black holes using an analogous system in classical optics, simplifying the prerequisite mathematics for generating ac…