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math.AG2021
Ten Points on a Cubic
Will Traves, David Wehlau
The 16-year old Blaise Pascal found a way to determine if 6 points lie on a conic using a straightedge. Nearly 400 years later, we develop a method that uses a straightedge to chec…
math.CO2021
Permutations Avoiding Certain Partially-ordered Patterns
Kai Ting Keshia Yap, David Wehlau, Imed Zaguia
A permutation contains a pattern if and only if there is a subsequence in with its letters are in the same relative order as those in . Partially ordered patterns (P…
math.RT2021
Subregular -rings of Coxeter systems via quiver path algebras
Ivan Dimitrov, Charles Paquette, David Wehlau +1
We study the subregular -ring of a Coxeter system , a subring of Lusztig's -ring. We prove that is isomorphic to a quotient of the path algebra of the doub…