3 papers
math.NT2023
The automorphisms of certain Kummer surfaces act on the points mod by the alternating group
Adam Logan, Owen Patashnick
For the family of Kummer surfaces of the square of an elliptic curve over the prime field with odd, we show that if the automorphism group acts transitively on t…
math.AG2020
Explicit coverings of families of elliptic surfaces by squares of curves
Colin Ingalls, Adam Logan, Owen Patashnick
We show that, for each , there is a family of elliptic surfaces which are covered by the square of a curve of genus , and whose Hodge structures have an action by ${\mat…
math.AG2016
Rational Mixed Tate Motivic Graphs
Susama Agarwala, Owen Patashnick
In this paper, we study the combinatorics of a subcomplex of the Bloch-Kriz cycle complex [4] used to construct the category of mixed Tate motives. The algebraic cycles we consider…