5 citations · 9 across the 2 of their papers we have counts for
2 papers
math.GT2019★ 4 cited
First cohomology of pure mapping class groups of big genus one and zero surfaces
George Domat, Paul Plummer
We prove that the first integral cohomology of pure mapping class groups of infinite type genus one surfaces is trivial. For genus zero surfaces we prove that not every homomorphis…
math.AG2013★ 5 cited
Maximum Waring ranks of monomials
Erik Holmes, Paul Plummer, Jeremy Siegert +1
We show that monomials and sums of pairwise coprime monomials in four or more variables have Waring rank less than the generic rank, with a short list of exceptions. We asymptotica…