20 citations · 51 across the 28 of their papers we have counts for
33 papers
A Schmidt-Nochka Theorem for closed subschemes in subgeneral position
Gordon Heier, Aaron Levin
In previous work, the authors established a generalized version of Schmidt's subspace theorem for closed subschemes in general position in terms of Seshadri constants. We extend ou…
Integral points on elliptic curves with -invariant over
Jean Gillibert, Emmanuel Hallouin, Aaron Levin
We consider elliptic curves defined by an equation of the form , where has coefficients in a perfect field of characteristic not or . By perfor…
Greatest Common Divisors on the Complement of Numerically Parallel Divisors
Keping Huang, Aaron Levin
We prove inequalities involving greatest common divisors of functions at integral points with respect to numerically parallel divisors, generalizing a result of Wang and Yasufuku (…
Hilbert's Irreducibility Theorem and Ideal Class Groups of Quadratic Fields
Kaivalya Kulkarni, Aaron Levin
We prove a version of Hilbert's Irreducibility Theorem in the quadratic case, giving a quantitative improvement to a result of Bilu-Gillibert in this restricted setting. As an appl…
Urata's theorem in the logarithmic case and applications to integral points
Ariyan Javanpeykar, Aaron Levin
Urata showed that a pointed compact hyperbolic variety admits only finitely many maps from a pointed curve. We extend Urata's theorem to the setting of (not necessarily compact) hy…
Quadratic fields with a class group of large 3-rank
Aaron Levin, Yan Shengkuan, Luke Wiljanen
We prove that there are >>X^{1/30}/(log X) imaginary quadratic number fields with an ideal class group of 3-rank at least 5 and discriminant bounded in absolute value by X. This im…