33 citations · 201 across the 29 of their papers we have counts for
32 papers
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…
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…
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…
Symmetric star transforms and the algebraic geometry of their dual differential operators
Gaik Ambartsoumian, Asher Auel, Mohammad Javad Latifi Jebelli
The star transform is a generalized Radon transform mapping a function on to the function whose value at a point is the integral along a union of rays emanating from…
Zeta functions of K3 categories over finite fields
Asher Auel, Jack Petok
We define the zeta function of a noncommutative K3 surface over a finite field, an invariant under Fourier-Mukai equivalence that can be used to define point counts in this noncomm…
Distinguishing Brill-Noether loci
Asher Auel, Richard Haburcak, Andreas Leopold Knutsen
We construct curves carrying certain special linear series and not others, showing many non-containments between Brill-Noether loci in the moduli space of curves. In particular, we…