7 papers
Noncongruence modular curves as Hurwitz spaces
William Y. Chen
In this survey article we give an overview of how noncongruence modular curves can be viewed as Hurwitz moduli spaces of covers of elliptic curves at most branched above the origin…
Enriched Cycle Structures and Roots of Permutations
William Y. C. Chen, Elena L. Wang
This paper is concerned with a duality between -regular permutations and -cycle permutations, and a monotone property due to Bóna-McLennan-White on the probability f…
The Wide Band Cayley Continuants
William Y. C. Chen, Elena L. Wang
The Cayley continuants are referred to the determinants of tridiagonal matrices in connection with the Sylvester continuants. Munarini-Torri found a striking combinatorial interpre…
Families of elliptic curves over the four-pointed configuration space and exceptional sequences for the braid group on four strands
William Y. Chen, Nick Salter
We show that the configuration space of four unordered points in with barycenter 0 is isomorphic to the space of triples , where is an elliptic curve, $Q\…
Breaking Cycles, the Odd Versus the Even
William Y. C. Chen
In an award-winning expository article, V. Pozdnyakov and J.M. Steele gave a beautiful demonstration of the ramifications of a basic bijection for permutations. The aim of this not…
Mixed Statistics on 01-Fillings of Moon Polyominoes
William Y. C. Chen, Andrew Y. Z. Wang, Catherine H. Yan +1
We establish a stronger symmetry between the numbers of northeast and southeast chains in the context of 01-fillings of moon polyominoes. Let $\M$ be a moon polyomino with rows…