3 papers
math.NT2026
The Kodaira dimension of Hilbert modular threefolds
Adam Logan
Following a method introduced by Thomas-Vasquez and developed by Grundman, we prove that many Hilbert modular threefolds of arithmetic genus and are of general type, and th…
math.AG2025
The Degree of Irrationality of del Pezzo Surfaces
Adam Logan, Anthony Várilly-Alvarado, David Zureick-Brown
For an irreducible variety over a field , the degree of irrationality is the minimal degree of a dominant rational map $X \dashrightarrow \mathbb{P}…
math.NT2024
Rings of Hilbert modular forms, computations on Hilbert modular surfaces, and the Oda-Hamahata conjecture
Adam Logan
The modularity of an elliptic curve can be expressed either as an analytic statement that the -function is the Mellin transform of a modular form, or as a geometri…