3 papers
math.GT2025
Non-characterizing slopes for more 3-manifolds
Matthew Elpers
For any homotopy class h in any compact orientable 3-manifold M which is closed or has exclusively torus boundary components, we produce infinitely many pairs of distinct knots rep…
math.GT2022
Determinants of Simple Theta Curves and Symmetric Graphs
Matthew Elpers, Rayan Ibrahim, Allison H. Moore
A theta curve is a spatial embedding of the -graph in the three-sphere, taken up to ambient isotopy. We define the determinant of a theta curve as an integer-valued invariant ar…
math.LO2022
How robustly can you predict the future?
Sean Cox, Matthew Elpers
Hardin and Taylor \cite{MR2384262} proved that any function on the reals -- even a nowhere continuous one -- can be correctly predicted, based solely on its past behavior, at almos…