Laura DeMarco

activity

20232026

most citedGeometry of PCF parameters in spaces of quadratic polynomials

1 citations · 1 across the 3 of their papers we have counts for

collaborators

4 papers

math.DS2026

Dynamical relations on $P^{1}$ , higher bifurcations, and arithmetic bigness

Laura DeMarco, Niki Myrto Mavraki

In this article, we study algebraic relations among rational maps on $P^{1}$ and among their preperiodic points. Working over $C$ , we characterize algebraic familie…

math.DS2024

The geometry of preperiodic points in families of maps on $P^{N}$

Laura DeMarco, Niki Myrto Mavraki

We study the dynamics of algebraic families of maps on $P^{N}$ , over the field $C$ of complex numbers, and the geometry of their preperiodic points. The goal of thi…

math.DS2024

Bounded geometry for PCF-special subvarieties

Laura DeMarco, Niki Myrto Mavraki, Hexi Ye

For each integer $d \geq 2$ , let $M_{d}$ denote the moduli space of maps $f : P^{1} \to P^{1}$ of degree $d$ . We study the geometric configurations of subsets of postcriti…

math.DS2023★ 1 cited

Geometry of PCF parameters in spaces of quadratic polynomials

Laura DeMarco, Niki Myrto Mavraki

We study algebraic relations among postcritically finite (PCF) parameters in the family $f_{c} (z) = z^{2} + c$ . Ghioca, Krieger, Nguyen and Ye proved that an algebraic curve in $\mathb…

Dynamical relations on P1, higher bifurcations, and arithmetic bigness

The geometry of preperiodic points in families of maps on PN

Bounded geometry for PCF-special subvarieties

Geometry of PCF parameters in spaces of quadratic polynomials

Dynamical relations on $P^{1}$ , higher bifurcations, and arithmetic bigness

The geometry of preperiodic points in families of maps on $P^{N}$