46 citations · 191 across the 22 of their papers we have counts for
22 papers
Integration on complex Grassmannians, deformed monotone Hurwitz numbers, and interlacing phenomena
Xavier Coulter, Norman Do, Ellena Moskovsky
We introduce a family of polynomials, which arise in three distinct ways: in the large expansion of a matrix integral, as a weighted enumeration of factorisations of permutatio…
The tropological vertex
Norman Do, Brett Parker
The theory of the topological vertex was originally proposed by Aganagic, Klemm, Mariño and Vafa as a means to calculate open Gromov-Witten invariants of toric Calabi-Yau threefold…
On the Goulden-Jackson-Vakil conjecture for double Hurwitz numbers
Norman Do, Danilo Lewański
Goulden, Jackson and Vakil observed a polynomial structure underlying one-part double Hurwitz numbers, which enumerate branched covers of with prescribed ramificati…
Double Hurwitz numbers: polynomiality, topological recursion and intersection theory
Gaëtan Borot, Norman Do, Maksim Karev +2
Double Hurwitz numbers enumerate branched covers of with prescribed ramification over two points and simple ramification elsewhere. In contrast to the single case,…
Counting non-crossing permutations on surfaces of any genus
Norman Do, Jian He, Daniel V. Mathews
Given a surface with boundary and some points on its boundary, a polygon diagram is a way to connect those points as vertices of non-overlapping polygons on the surface. Such polyg…
Local topological recursion governs the enumeration of lattice points in
Anupam Chaudhuri, Norman Do, Ellena Moskovsky
The second author and Norbury initiated the enumeration of lattice points in the Deligne-Mumford compactifications of moduli spaces of curves. They showed that the enumeration may…