Colin Ingalls

activity

20142024

collaborators

4 papers

math.NT2024

The Basic Theory of Clifford-Bianchi Groups for Hyperbolic n-Space

Taylor Dupuy, Anton Hilado, Colin Ingalls +1

Let $K$ be a $Q$ -Clifford algebra associated to an $(n - 1)$ -ary positive definite quadratic form and let $O$ be a maximal order in $K$ . A Clifford-Bianchi group i…

math.OA2023

Remarks on computing the Grothendieck rings of C*-algebras

E. Ghamari, C. Ingalls, D. Kucerovsky

In this paper, we present a captivating construction by Grothendieck, originally formulated for algebraic varieties, and adapt it to the realm of C*-algebras. Our main objective is…

math.AC2023

Log Centres of Noncommutative Crepant Resolutions are Kawamata Log Terminal: Remarks on a paper of Stafford and van den Bergh

Colin Ingalls, Takehiko Yasuda

We show that if a finitely generated prime algebra $Δ$ is a finitely generated maximal Cohen-Macaulay module over its centre $Z$ , and has global dimension equal to $dim Z$ , then t…

math.RA2014

Embeddings of quotient division algebras of rings of differential operators

Jason P. Bell, Colin Ingalls, Ritvik Ramkumar

Let $k$ be an algebraically closed field of characteristic zero, let $X$ and $Y$ be smooth irreducible algebraic curves over $k$ , and let $D (X)$ and $D (Y)$ denote respectively the…