C. Ingalls

activity

20112021

most citedConic bundles and Clifford algebras

1 citations · 3 across the 6 of their papers we have counts for

collaborators

8 papers

math.AG2021

The minimal model program for arithmetic surfaces enriched by a Brauer class

Daniel Chan, Colin Ingalls

We examine the noncommutative minimal model program for orders on arithmetic surfaces, or equivalently, arithmetic surfaces enriched by a Brauer class $β$ . When $β$ has prime index…

math.AG2020★ 1 cited

Crepant resolutions of double covers: On the Cynk-Hulek criterion for crepant resolutions of double cover

Colin Ingalls, Adam Logan

A collection $S = {D_{1}, \dots, D_{n}}$ of divisors in a smooth variety $X$ is an {\em arrangement} if intersections of all subsets of $S$ are smooth. We show that a double cover of…

math.RT2020★ 1 cited

$A V$ modules of finite type on affine space

Yuly Billig, Colin Ingalls, Amir Nasr

We study the category of modules admitting compatible actions of the Lie algebra $V$ of vector fields on an affine space and the algebra $A$ of polynomial funct…

math.NT2020

Quotient graphs and amalgam presentations for unitary groups over cyclotomic rings

Colin Ingalls, Bruce W. Jordan, Allan Keeton +2

Suppose $4∣ n$ , $n \geq 8$ , $F = F_{n} = Q (ζ_{n} + ζ ˉ_{n})$ , and there is one prime $p = p_{n}$ above $2$ in $F_{n}$ . We study amalgam presentations for $\operatornam…

math.NT2019

The Clifford-cyclotomic group and Euler-Poincaré characteristics

Colin J. Ingalls, Bruce W. Jordan, Allan Keeton +2

For an integer $n \geq 8$ divisible by $4$ , let $R_{n} = Z [ζ_{n}, 1/2]$ and let $U_{2} (R_{n})$ be the group of $2 \times 2$ unitary matrices with entries in $R_{n}$ . Set $…

math.RA2018

Low dimensional orders of finite representation type