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math.NT2026
-adic Galois representations of elliptic curves over the rationals via Kummer descent
Santiago Arango-Piñeros, David Zureick-Brown
We show that the two modular curves of level and genus left open by the work of Rouse, Sutherland and Zureick-Brown, and of Furio and Lombardo, have no non-CM rational poi…
math.AG2026
The Dimension Conjecture Implies The Jacobi Bound Conjecture
Taylor Dupuy, David Zureick-Brown
We prove that the Dimension Conjecture implies the Jacobi Bound Conjecture.
math.AG2026
The Jacobi Bound Conjecture for Generically Reduced Differential Schemes
Taylor Dupuy, David Zureick-Brown
We prove the Strong Jacobi Bound Conjecture for generically reduced components of differential schemes.