41 citations · 279 across the 62 of their papers we have counts for
64 papers
A Theorem of Wolpert, and some Variations
Ludovico Battista, Nolwenn Le Quellec, Juan Souto
We give a streamlined proof of the fact that generically, isospectral hyperbolic surfaces are isometric. We also prove some versions of this result allowing for quasi-Fuchsian grou…
Large genus asymptotics for frequency of non-simple curves
Mingkun Liu, Kasra Rafi, Juan Souto +1
We give an expression for the frequency of non-simple curves in closed surfaces and exploit it to study relative frequencies of such curves in large genus. This extend to the case…
Can You Hear the Shape of a Hyperbolic Surface? Now for Real
Ludovico Battista, Juan Souto
We associate a musical instrument, a "hyperbolic marimba", to every pair where is a hyperbolic surface and a simple multicurve labeled with musical keys. I…
On graphs, homology bases, and triangulated homology spheres
Karim Adiprasito, Marc Lackenby, Juan Souto +1
We describe a construction that takes as input a graph and a basis for its first homology, and returns a triangulation of a 3-dimensional homology sphere. This makes precise an ide…
Holomorphic maps between moduli spaces II
Rodrigo De Pool, Juan Souto
We prove that forgetful maps are the only non-constant holomorphic maps between moduli spaces, as long as and $g'\le 3\cdot 2^{g…
On the distribution of the components of multicurves of given type
Viveka Erlandsson, Juan Souto
We study the distribution of the individual components of a random multicurve under the action of the mapping class group.