David McKinnon

activity

20232026

most citedRational approximation on cubic hypersurfaces

1 citations · 1 across the 4 of their papers we have counts for

collaborators

4 papers

math.NT2026

Modular curves and bad reduction

Adam Logan, David McKinnon

We prove results that imply, under various hypotheses, that every elliptic curve over a number field $k$ corresponding to a point on a modular curve has bad reduction at a certain…

math.AG2025

Curves of best approximation on wonderful varieties

Christopher Manon, David McKinnon, Matthew Satriano

We give an unconditional proof of the Coba conjecture for wonderful compactifications of adjoint type for semisimple Lie groups of type $A_{n}$ . We also give a proof of a slightly we…

math.AG2024

Approximating rational points on surfaces

Brian Lehmann, David McKinnon, Matthew Satriano

Let $X$ be a smooth projective algebraic variety over a number field $k$ and $P$ in $X (k)$ . In 2007, the second author conjectured that, in a precise sense, if rational points on $…

math.AG2023★ 1 cited

Rational approximation on cubic hypersurfaces

David McKinnon

We compute the constant of approximation for an arbitrary rational point on an arbitrary smooth cubic hypersurface $X$ over a number field $k$ , provided that there is a $k$ -rationa…