11 citations · 28 across the 11 of their papers we have counts for
14 papers
The Unbounded Denominators Conjecture
Frank Calegari, Vesselin Dimitrov, Yunqing Tang
We prove the unbounded denominators conjecture in the theory of noncongruence modular forms for finite index subgroups of SL_2(Z). Our result includes also Mason's generalization o…
A consequence of the relative Bogomolov conjecture
Vesselin Dimitrov, Ziyang Gao, Philipp Habegger
We propose a formulation of the relative Bogomolov conjecture and show that it gives an affirmative answer to a question of Mazur's concerning the uniformity of the Mordell-Lang co…
Uniformity in Mordell-Lang for curves
Vesselin Dimitrov, Ziyang Gao, Philipp Habegger
Consider a smooth, geometrically irreducible, projective curve of genus defined over a number field of degree . It has at most finitely many rational points by t…
A proof of the Schinzel-Zassenhaus conjecture on polynomials
Vesselin Dimitrov
We prove that if is an integer polynomial of degree and having , then either is a product of cyclotomic polynomials, or else at least…
Galois orbits of torsion points near atoral sets
Vesselin Dimitrov, Philipp Habegger
We prove that the Galois equidistribution of torsion points of the algebraic torus extends to the singular test functions of the form , where is a…
Uniform bound for the number of rational points on a pencil of curves
Vesselin Dimitrov, Ziyang Gao, Philipp Habegger
Consider a one-parameter family of smooth, irreducible, projective curves of genus defined over a number field. Each fiber contains at most finitely many rational points b…