2 papers
math.AG2026
Restricted monodromy containing transpositions
Julianne Barnhart, Taylor Brysiewicz, Michael Burr +1
We relate the monodromy group of a branched cover to the monodromy groups of its restrictions. We show that the presence of a transposition in a restricted monodromy group signific…
math.AG2022
Sparse trace tests
Taylor Brysiewicz, Michael Burr
We establish how the coefficients of a sparse polynomial system influence the sum (or the trace) of its zeros. As an application, we develop numerical tests for verifying whether a…