56 citations · 98 across the 21 of their papers we have counts for
5 papers · 1 filter
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{…
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…
Bounded height in families of dynamical systems
Laura DeMarco, Dragos Ghioca, Holly Krieger +3
Let a and b be algebraic numbers such that exactly one of a and b is an algebraic integer, and let f_t(z):=z^2+t be a family of polynomials parametrized by t. We prove that the set…
Variation of canonical height and equidistribution
Laura DeMarco, Niki Myrto Mavraki
Let be an elliptic surface defined over a number field , where is a smooth projective curve, and let be a section defined over with canonical he…