12 citations · 18 across the 7 of their papers we have counts for
8 papers
A unified approach to embeddings of a line in 3-space
Drew Lewis
While the general question of whether every closed embedding of an affine line in affine -space can be rectified remains open, there have been several partial results proved by…
An algorithmic approach to the Polydegree Conjecture for plane polynomial automorphisms
Drew Lewis, Kaitlyn Perry, Armin Straub
We study the interaction between two structures on the group of polynomial automorphisms of the affine plane: its structure as an amalgamated free product and as an infinite-dimens…
Normal subgroups generated by a single polynomial automorphism
Drew Lewis
We study criteria for deciding when the normal subgroup generated by a single polynomial automorphism of is as large as possible, namely equal to the normal closure…
Co-tame polynomial automorphisms
Eric Edo, Drew Lewis
A polynomial automorphism of over a field of characteristic zero is called co-tame if, together with the affine subgroup, it generates the entire tame subgroup. We p…
The affine automorphism group of A^3 is not a maximal subgroup of the tame automorphism group
Eric Edo, Drew Lewis
We construct explicitly a family of proper subgroups of the tame automorphism group of affine three-space (in any characteristic) which are generated by the affine subgroup and a n…
Some Families of Polynomial Automorphisms III
Eric Edo, Drew Lewis
We prove that the closure (for the Zariski topology) of the set of polynomial automorphisms of the complex affine plane whose polydegree is (cd-1,b,a) contains all triangular autom…