27 citations · 62 across the 19 of their papers we have counts for
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math.NT2019★ 10 cited
Quantitative reduction theory and unlikely intersections
Christopher Daw, Martin Orr
We prove quantitative versions of Borel and Harish-Chandra's theorems on reduction theory for arithmetic groups. Firstly, we obtain polynomial bounds on the lengths of reduced inte…
math.NT2019★ 4 cited
The space of homogeneous probability measures on is compact
Christopher Daw, Alexander Gorodnik, Emmanuel Ullmo +1
In this paper we prove that the space of homogeneous probability measures on the maximal Satake compactification of an arithmetic locally symmetric space is compact. As an applicat…
math.NT2019★ 2 cited
Unlikely intersections with CM curves in
Christopher Daw, Martin Orr
The Zilber-Pink conjecture predicts that an algebraic curve in has only finitely many intersections with the special curves, unless it is contained in a proper spec…