Tommaso Cremaschi

activity

20172026

most citedHyperbolicity of links complements in Seifert fibered spaces

6 citations · 7 across the 15 of their papers we have counts for

collaborators

19 papers

math.GT2026

Injectivity and continuity of the intersection form in infinite type

Tommaso Cremaschi, Didac Martinez-Granado

We study two fundamental properties of the intersection pairing between geodesic currents on infinite-type surfaces which are classical in the finite-type closed setting: injectivi…

math.NA2026

Simultaneous Global Convergence Failure of Newton's and Halley's Methods in Degree Four

Alessio Basti, Tommaso Cremaschi

We construct an explicit quartic polynomial for which Newton's and Halley's root-finding methods both fail to converge to a root on nonempty open sets of initial values. The exampl…

math.CO2026

The Asayama-Matsumoto conjecture and a refined discrepancy bound

Alessio Basti, Tommaso Cremaschi

Every $n$ -vertex plane triangulation admits a polychromatic red--blue vertex coloring with discrepancy at most $n-2\ceil{n/3}\le\floor{n/3}$, resolving a conjecture of Asayama and…

math.DG2025

Behaviour of the Schwarzian derivative on long complex projective tubes

Tommaso Cremaschi, Viola Giovannini

The Schwarzian derivative parametrizes the fibres of the space of complex projective structures on a surface as vector bundle over its Teichmüller space. We study its behaviour on…

math.GT2024

Covers of surfaces

Ian Biringer, Yassin Chandran, Tommaso Cremaschi +4

We study the homeomorphism types of certain covers of (always orientable) surfaces, usually of infinite-type. We show that every surface with non-abelian fundamental group is cover…

math.GT2024

Monomial web basis for the SL(N) skein algebra of the twice punctured sphere

Tommaso Cremaschi, Daniel C. Douglas

We give a new proof of a slightly modified version of a result of Queffelec--Rose, by constructing a linear basis for the $SL (n)$ skein algebra of the twice punctured sphe…

math.DG2024

Filling Riemann surfaces by hyperbolic Schottky manifolds of negative volume

Tommaso Cremaschi, Viola Giovannini, Jean-Marc Schlenker

We provide conditions under which a Riemann surface $X$ is the asymptotic boundary of a convex co-compact hyperbolic manifold, homeomorphic to a handlebody, of negative renormalize…

math.GT2024

Density results for the modular group of infinite-type surfaces

Yassin Chandran, Tommaso Cremaschi

In this work we show two results about approximating, with respect to the compact-open topology, mapping classes on surfaces of infinite-type by quasi-conformal maps, in particular…

math.GT2024

Knots in circle bundles are determined by their complements

Tommaso Cremaschi, Andrew Yarmola

We resolve a case of the oriented knot complement conjecture by showing that knots in an orientable circle bundle $N$ over a genus $g \geq 2$ surface $S$ are determined by their co…

math.GT2023

Fibered 3-manifolds with unique incompressible surfaces

Tommaso Cremaschi, Andrew Yarmola

We present a family $M_{g}$ of fibered hyperbolic 3-manifolds whose fibre $F_{g}$ is the unique connected incompressible surface and the genus $g \geq 2$ of $F_{g}$ can be arbitrary. Thi…

math.GT2021

Effective contraction of skinning maps

Tommaso Cremaschi, Lorenzo Dello Schiavo

Using elementary hyperbolic geometry, we give an explicit formula for the contraction constant of the skinning map over moduli spaces of relatively acylindrical hyperbolic manifold…

math.GT2021

Volume bounds for the canonical lift complement of a random geodesic

Tommaso Cremaschi, Yannick Krifka, Dídac Martínez-Granado +1

Given a filling primitive geodesic curve in a closed hyperbolic surface one obtains a hyperbolic three-manifold as the complement of the curve's canonical lift to the projective ta…

math.GT2020

Hyperbolic limits of Cantor set complements in the sphere

Tommaso Cremaschi, Franco Vargas Pallete

Let $M$ be a hyperbolic 3-manifold with no rank two cusps admitting an embedding in $S^{3}$ . Then, if $M$ admits an exhaustion by $π_{1}$ -injective sub-manifolds there exists c…

math.GT2019

On volumes and filling collections of multicurves

Tommaso Cremaschi, José Andrés Rodríguez Migueles, Andrew Yarmola

Let $S$ be a surface of negative Euler characteristic and consider a finite filling collection $Γ$ of closed curves on $S$ in minimal position. An observation of Foulon and Hasselb…

math.GT2019★ 1 cited

Hyperbolization of infinite-type 3-manifolds

Tommaso Cremaschi

We study the class $M^{B}$ of 3-manifolds $M$ that have a compact exhaustion $M = \cup_{i \in N} M_{i}$ satisfying: each $M_{i}$ is hyperbolizable with incompressible bounda…

math.GT2018

A locally hyperbolic 3-manifold that is not homotopy equivalent to any hyperbolic 3-manifold

Tommaso Cremaschi

We construct a locally hyperbolic 3-manifold $M$ such that $π_{1} (M)$ has no divisible subgroups. We then show that $M$ is not homotopy equivalent to any complete hyperbolic manifol…

math.GT2018★ 6 cited

Hyperbolicity of links complements in Seifert fibered spaces

Tommaso Cremaschi, José Andrés Rodríguez Migueles

Let $γ ˉ$ be a link in a Seifert fibered space $M$ over a hyperbolic $2$ -orbifolds $O$ that projects injectively to a filling multicurve of closed geodesics $γ$ in $\mat…

math.GT2018

Discrete groups without finite quotients

Tommaso Cremaschi, Juan Souto

We construct an infinite discrete subgroup of the isometry group of $H^{3}$ with no finite quotients other than the trivial group.

math.GT2017

A locally hyperbolic 3-manifold that is not hyperbolic

Tommaso Cremaschi

We construct a locally hyperbolic 3-manifold $M_{\infty}$ such that $π_{1} (M_{\infty})$ has no divisible subgroup. We then show that $M_{\infty}$ is not homeomorphic to any complete hyper…