18 citations · 32 across the 10 of their papers we have counts for
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math.DS2017★ 5 cited
Reduction of dynatomic curves
John R. Doyle, Holly Krieger, Andrew Obus +3
The dynatomic modular curves parametrize polynomial maps together with a point of period . It is known that the dynatomic curves are smooth and irreducible in character…
math.NT2017★ 1 cited
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…