56 citations · 98 across the 21 of their papers we have counts for
25 papers
Dynamics on : preperiodic points and pairwise stability
Laura DeMarco, Niki Myrto Mavraki
In [DKY], it was conjectured that there is a uniform bound , depending only on the degree , so that any pair of holomorphic maps with degr…
Variation of Canonical Height for Fatou points on
Laura DeMarco, Niki Myrto Mavraki
Let be a map of degree defined over a function field , where is a number field and is a projective curve over . For each…
Elliptic surfaces and intersections of adelic -divisors
Laura DeMarco, Niki Myrto Mavraki
Suppose is a non-isotrivial elliptic surface defined over a number field, for smooth projective curve . Let denote the function field $\overline{\mathbb{…
Common preperiodic points for quadratic polynomials
Laura DeMarco, Holly Krieger, Hexi Ye
Let for . We show there exists a uniform bound on the number of points in that can be preperiodic for both a…
Uniform Manin-Mumford for a family of genus 2 curves
Laura DeMarco, Holly Krieger, Hexi Ye
We introduce a general strategy for proving quantitative and uniform bounds on the number of common points of height zero for a pair of inequivalent height functions on $\mathbb{P}…
Current Trends and Open Problems in Arithmetic Dynamics
Robert Benedetto, Laura DeMarco, Patrick Ingram +4
Arithmetic dynamics is the study of number theoretic properties of dynamical systems. A relatively new field, it draws inspiration partly from dynamical analogues of theorems and c…