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Weil–Petersson volumes and cone surfaces

- Norman Do, P. Norbury
- Mathematics
- 16 March 2006

The moduli spaces of hyperbolic surfaces of genus g with n geodesic boundary components are naturally symplectic manifolds. Mirzakhani proved that their volumes are polynomials in the lengths of the… Expand

Quantum curves for the enumeration of ribbon graphs and hypermaps

- Norman Do, D. Manescu
- Mathematics
- 24 December 2013

The topological recursion of Eynard and Orantin governs a variety of problems in enumerative geometry and mathematical physics. The recursion uses the data of a spectral curve to define an infinite… Expand

Monotone Orbifold Hurwitz Numbers

In general, the Hurwitz numbers count the branched covers of the Riemann sphere with prescribed ramification data or, equivalently, the factorizations of a permutation with prescribed cycle structure… Expand

Topological recursion and a quantum curve for monotone Hurwitz numbers

- Norman Do, A. Dyer, Daniel V. Mathews
- Mathematics
- 18 August 2014

Moduli spaces of hyperbolic surfaces and their Weil-Petersson volumes

- Norman Do
- Mathematics
- 24 March 2011

Moduli spaces of hyperbolic surfaces may be endowed with a symplectic structure via the Weil-Petersson form. Mirzakhani proved that Weil-Petersson volumes exhibit polynomial behaviour and that their… Expand

Bounds on the max and min bisection of random cubic and random 4-regular graphs

- Josep Díaz, Norman Do, M. Serna, N. Wormald
- Mathematics, Computer ScienceTheor. Comput. Sci.
- 14 October 2003

Intersection theory on moduli spaces of curves via hyperbolic geometry

- Norman Do
- Mathematics
- 2008

This thesis explores the intersection theory onMg,n, the moduli space of genus g stable curves with n marked points. Our approach will be via hyperbolic geometry and our starting point will be the… Expand

Bisection of Random Cubic Graphs

- Josep Díaz, Norman Do, M. Serna, N. Wormald
- Mathematics, Computer ScienceRANDOM
- 13 September 2002

TLDR

The asymptotic Weil-Petersson form and intersection theory on M_{g,n}

- Norman Do
- Mathematics
- 20 October 2010

Moduli spaces of hyperbolic surfaces with geodesic boundary components of fixed lengths may be endowed with a symplectic structure via the Weil-Petersson form. We show that, as the boundary lengths… Expand

Orbifold Hurwitz numbers and Eynard-Orantin invariants

- Norman Do, Oliver H. G. Leigh, P. Norbury
- Mathematics
- 31 December 2012

We prove that a generalisation of simple Hurwitz numbers due to Johnson, Pandharipande and Tseng satisfy the topological recursion of Eynard and Orantin. This generalises the Bouchard-Marino… Expand

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