33 citations · 201 across the 29 of their papers we have counts for
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math.AG2026
The algebraic geometry of 3-by-3 magic squares of squares
Asher Auel, Benjamin Singer
The question of whether a 3-by-3 magic square of squares with distinct integer entries exists has been open since the 18th century. We study the geometry of the algebraic surface p…
math.AG2026
Splitting Brauer classes by genus one curves over number fields
Benjamin Antieau, Asher Auel, Federico Scavia
We prove that every Severi-Brauer variety of dimension at least two over a number field contains a twisted elliptic normal curve. Consequently, every Brauer class over a number fie…
math.AG2026
Noether-Lefschetz general complete intersection K3 surfaces over the rationals
Asher Auel, Henry Scheible
We prove that the locus of Noether-Lefschetz general polarized K3 surfaces of degree at most 8 defined over the rational numbers is Zariski dense in the moduli space. Previously, t…