7 papers
Combinatorial geometry of the 2D Toda lattice and Davey Stewartson equation
Rodrigo Navarro Betancourt, Marvin Anas Hahn, Vera Posch +1
The KP equation is a prototypical -dimensional integrable PDE. Its soliton solutions are famously parametrized by the Sato Grassmannian. In seminal work, Kodama and Williams…
Failing to keep the balance: explicit formulae and topological recursion for leaky Hurwitz numbers
Marvin Anas Hahn, Reinier Kramer
Recently a new family of enumerative invariants called leaky Hurwitz numbers was introduced by Cavalieri-Markwig-Ranganathan in the context of logarithmic intersection theory. They…
Tropicalising hypergeometric -functions
Marvin Anas Hahn, Brian O'Callaghan, Jonas Wahl
Weighted Hurwitz numbers arise as coefficients in the power sum expansion of deformed hypergeometric --functions. They specialise to essentially all known cases of Hurwitz numb…
Universal piecewise polynomiality for counting curves in toric surfaces
Marvin Anas Hahn, Vincenzo Reda
Inspired by piecewise polynomiality results of double Hurwitz numbers, Ardila and Brugallé introduced an enumerative problem which they call double Gromov--Witten invariants of Hi…
A refined twist on Hurwitz numbers
Raphaël Fesler, Marvin Anas Hahn, Maksim Karev +1
We introduce a two-parameter refinement of the Jucys-Murphy theory, that we call the CJT-refinement, unifying Schur, zonal, and, conjecturally, Jack actions of the ring of symmetri…
Order-One Rolling Shutter Cameras
Marvin Anas Hahn, Kathlén Kohn, Orlando Marigliano +1
Rolling shutter (RS) cameras dominate consumer and smartphone markets. Several methods for computing the absolute pose of RS cameras have appeared in the last 20 years, but the rel…