Yu Yasufuku

activity

20102026

most citedA large arboreal Galois representation for a cubic postcritically finite polynomial

14 citations · 31 across the 8 of their papers we have counts for

collaborators

9 papers

math.NT2026

On higher dimensional integrality and multiplicative dependence in semigroup algebraic dynamics

Jorge Mello, Yu Yasufuku

We study multiplicative dependence of points in semigroup orbits in higher dimensions. More specifically, we show that the non-density of integral points in semigroup orbits implie…

math.NT2019★ 7 cited

Greatest common divisors of integral points of numerically equivalent divisors

Julie Tzu-Yueh Wang, Yu Yasufuku

We generalize the G.C.D. results of Corvaja--Zannier and Levin on $G_{m}^{n}$ to more general settings. More specifically, we analyze the height of a closed subscheme of codime…

math.NT2016★ 14 cited

A large arboreal Galois representation for a cubic postcritically finite polynomial

Robert L. Benedetto, Xander Faber, Benjamin Hutz +2

We give a complete description of the arboreal Galois representation of a certain postcritically finite cubic polynomial over a large class of number fields and for a large class o…

math.NT2016

Integral points and orbits of endomorphisms on the projective plane

Aaron Levin, Yu Yasufuku

We analyze when integral points on the complement of a finite union of curves in $P^{2}$ are potentially dense. We divide the analysis of these affine surfaces based on thei…

math.NT2016

Vojta's Conjecture on Multiple Blowups of $P^{2}$ and the $ab c$ conjecture

Yu Yasufuku

We show that Vojta's conjecture for some rational surfaces is related to the $ab c$ conjecture. More specifically, we prove that Vojta's conjecture on these surfaces implies a speci…

math.NT2015★ 4 cited

Integral Points and Relative Sizes of Coordinates of Orbits in P^N

Yu Yasufuku

We give a generalization to higher dimensions of Silverman's result on finiteness of integer points in orbits. Assuming Vojta's conjecture, we prove a sufficient condition for morp…

math.NT2014★ 6 cited

Uniform Boundedness of S-Units in Arithmetic Dynamics

Holly Krieger, Aaron Levin, Zachary Scherr +3

Let K be a number field and let S be a finite set of places of K which contains all the Archimedean places. For any f(z) in K(z) of degree d at least 2 which is not a d-th power in…

math.DS2012

Exponential-polynomial equations and dynamical return sets

Thomas Scanlon, Yu Yasufuku

We show that for each finite sequence of algebraic integers $α_{1}, ..., α_{n}$ and polynomials $P_{1} (x_{1}, ..., x_{n}; y_{1}, ..., y_{n}), ..., P_{r} (x_{1}, ..., x_{n}; y_{1}, ..., y_{n})$ with algebraic integer co…

math.NT2010

Explicit Descriptions of Quadratic Maps on $\pp^1$ defined over a field $K$

Michelle Manes, Yu Yasufuku

We describe an explicit parameter space for the set of all quadratic rational maps on $\pp^1$ defined over a field $K$ , up to conjugacy over $K$ .

On higher dimensional integrality and multiplicative dependence in semigroup algebraic dynamics

Greatest common divisors of integral points of numerically equivalent divisors

A large arboreal Galois representation for a cubic postcritically finite polynomial

Integral points and orbits of endomorphisms on the projective plane

Vojta's Conjecture on Multiple Blowups of P2 and the abc conjecture

Integral Points and Relative Sizes of Coordinates of Orbits in P^N

Uniform Boundedness of S-Units in Arithmetic Dynamics

Exponential-polynomial equations and dynamical return sets

Explicit Descriptions of Quadratic Maps on $\pp^1$ defined over a field K

Vojta's Conjecture on Multiple Blowups of $P^{2}$ and the $ab c$ conjecture

Explicit Descriptions of Quadratic Maps on $\pp^1$ defined over a field $K$