9 citations · 11 across the 11 of their papers we have counts for
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A dynamical Shafarevich theorem for endomorphisms of
Jamie Juul, Holly Krieger, Nicole Looper +1
We prove a dynamical analogue of the Shafarevich conjecture for morphisms of degree , defined over a number field . This extends previ…
A Lehmer-type height lower bound for abelian surfaces over function fields
Nicole R. Looper, Joseph H. Silverman
Let be a 1-dimensional function field over an algebraically closed field of characteristic , and let be an abelian surface. Under mild assumptions, we prove a Lehmer-t…
A Bogomolov property for the canonical height of maps with superattracting periodic points
Nicole R. Looper
We prove that if is a polynomial over a number field with a finite superattracting periodic point and a non-archimedean place of bad reduction, then there is an such…
The Uniform Boundedness and Dynamical Lang Conjectures for polynomials
Nicole R. Looper
We give a conditional proof of the Uniform Boundedness Conjecture of Morton and Silverman in the case of polynomials over number fields, assuming a standard conjecture in arithmeti…
A uniform quantitative Manin-Mumford theorem for curves over function fields
Nicole Looper, Joseph Silverman, Robert Wilms
We prove that any smooth projective geometrically connected non-isotrivial curve of genus over a one-dimensional function field of any characteristic has at most $16g^2+32…