Daniel Minahan

activity

20202026

most citedAll lines on a smooth cubic surface in terms of three skew lines

1 citations · 1 across the 9 of their papers we have counts for

collaborators

9 papers

math.GT2026

Rigidity of maps between configuration spaces

Rodrigo De Pool, Peter Huxford, Daniel Minahan +1

Let $n \geq 5$ and $m \geq 3$ . Let $Φ : B_{n} \to B_{m}$ be a homomorphism of braid groups. We prove that if the image of $Φ$ is irreducible and not cyclic, then $m = n$ a…

math.RT2025

Presentations of representations

Daniel Minahan, Andrew Putman

We give a new technique for constructing presentations by generators and relations for representations of groups like $S L_{n} (Z)$ and $S p_{2 g} (Z)$ . Our results play…

math.GT2025

Abelian covers of surfaces and the homology of the Torelli group

Daniel Minahan, Andrew Putman

We study the first homology group of the mapping class group and Torelli group with coefficients in the first rational homology group of the universal abelian cover of the surface.…

math.GT2025

The second rational homology of the Torelli group

Daniel Minahan, Andrew Putman

We calculate the second rational homology group of the Torelli group for $g \geq 6$ .

math.GT2023

Automorphisms of the fine 1-curve graph

Katherine Williams Booth, Daniel Minahan, Roberta Shapiro

The fine 1-curve graph of a surface is a graph whose vertices are simple closed curves on the surface and whose edges connect vertices that intersect in at most one point. We show…

math.GT2023

The second rational homology of the Torelli group is finitely generated

Daniel Minahan

We prove that second rational homology of the Torelli group of an orientable closed surface of genus g is finite dimensional for g at least 51. This rules out the simplest obstruct…

math.GT2023

The acyclicity of the complex of homologous curves

Daniel Minahan

We show that the complex of homologous curves of a closed, oriented surface of genus g is (g-3)--acyclic.

math.GT2023

The cohomological dimension of the terms of the Johnson filtration

Daniel Minahan

We prove that the $k$ th term of the Johnson filtration of a closed, orientable surface of genus $g \geq 2$ has cohomological dimension $2 g - 3$ for all $k \geq 3$ and $g \geq 2$ . T…

math.AG2020★ 1 cited

All lines on a smooth cubic surface in terms of three skew lines

Stephen McKean, Daniel Minahan, Tianyi Zhang

Jordan showed that the incidence variety of a smooth cubic surface containing 27 lines has solvable Galois group over the incidence variety of a smooth cubic surface containing 3 s…