Christopher Daw

collaborators

4 papers

math.NT2026

Lang-Trotter phenomena and unlikely intersections

Christopher Daw, Georgios Papas

We show that the Lang-Trotter conjecture for pairs of elliptic curves implies new cases of the Zilber-Pink conjecture for curves in $A_{3}$ . Unlike previous results for cur…

math.NT2026

Some new cases of Zilber-Pink in $Y (1)^{3}$

Christopher Daw, Martin Orr, Georgios Papas

We prove the Zilber-Pink conjecture for curves in $Y (1)^{3}$ that intersect a modular curve in the boundary. We also give an unconditional result for unlikely intersection points hav…

math.NT2025

The large Galois orbits conjecture under multiplicative degeneration

Christopher Daw, Martin Orr

We establish the PEL type large Galois orbits conjecture for Hodge generic curves in $A_{g}$ possessing multiplicative degeneration. Combined with our earlier works, this c…