2 papers
math.GT2024
Crossing the transcendental divide: from Schottky groups to algebraic curves
Samantha Fairchild, Ángel David Ríos Ortiz
Though the uniformization theorem guarantees an equivalence of Riemann surfaces and smooth algebraic curves, moving between analytic and algebraic representations is inherently tra…
math.NT2023
Mean value theorems for the S-arithmetic primitive Siegel transforms
Samantha Fairchild, Jiyoung Han
We develop the theory and properties of primitive unimodular -arithmetic lattices in by giving integral formulas in the spirit of Siegel's primitive mean value…