M. Orr

activity

20112026

most citedFiniteness theorems for K3 surfaces and abelian varieties of CM type

26 citations · 103 across the 16 of their papers we have counts for

collaborators

Showing 2019Show all

2 papers · 1 filter

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★ 2 cited

Unlikely intersections with $E$ $\times$ CM curves in $A_{2}$

Christopher Daw, Martin Orr

The Zilber-Pink conjecture predicts that an algebraic curve in $A_{2}$ has only finitely many intersections with the special curves, unless it is contained in a proper spec…

Quantitative reduction theory and unlikely intersections

Unlikely intersections with E × CM curves in A2​

Unlikely intersections with $E$ $\times$ CM curves in $A_{2}$