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papers

Publications (40)

math.RA2026

Discrete Invariants of Koszul Artin-Schelter Regular Algebras of Dimension four

Vishal Bhatoy, Colin Ingalls

math.AG2026

Some terminal orders on 3-folds

Daniel Chan, Colin Ingalls

math.NT2024

Sarnak's conjecture in quantum computing, cyclotomic unitary group coranks, and Shimura curves

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

math.NT2022

Definite orthogonal modular forms: Computations, Excursions and Discoveries

Eran Assaf, Dan Fretwell, Colin Ingalls +3

math.AC2022

Matrix Factorizations of the discriminant of $S_n$

Eleonore Faber, Colin Ingalls, Simon May +1

math.AG2021

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

Daniel Chan, Colin Ingalls

math.RA2026

Lie subalgebras of vector fields on curves

Lucas Buzaglo, Colin Ingalls

math.CO2022

Sets of mutually orthogoval projective and affine planes

Charles J. Colbourn, Colin Ingalls, Jonathan Jedwab +3

math.RA2011

Conic bundles and Clifford algebras

Daniel Chan, Colin Ingalls

math.GR2024

The magic square of reflections and rotations

Ragnar-Olaf Buchweitz, Eleonore Faber, Colin Ingalls

math.RA2020

Low dimensional orders of finite representation type

Daniel Chan, Colin Ingalls

math.RT2015

Homological dimensions for co-rank one idempotent subalgebras

Colin Ingalls, Charles Paquette

math.RA2014

Embeddings of quotient division algebras of rings of differential operators

Jason P. Bell, Colin Ingalls, Ritvik Ramkumar

math.AG2021

On the Kodaira dimension of maximal orders

Nathan Grieve, Colin Ingalls

math.AC2014

Noncommutative (crepant) desingularizations and the global spectrum of commutative rings

Hailong Dao, Eleonore Faber, Colin Ingalls

math.AG2014

An Explicit Derived Equivalence of Azumaya Algebras on K3 Surfaces via Koszul Duality

Colin Ingalls, Madeeha Khalid

math.AG2019

Period-index bounds for arithmetic threefolds

Benjamin Antieau, Asher Auel, Colin Ingalls +2

math.AG2021

Explicit coverings of families of elliptic surfaces by squares of curves

Colin Ingalls, Adam Logan, Owen Patashnick

math.AG2018

Noncommutative resolutions of discriminants

Ragnar-Olaf Buchweitz, Eleonore Faber, Colin Ingalls

math.RT2008

Noncrossing partitions and representations of quivers

Colin Ingalls, Hugh Thomas

math.RT2015

Computing global dimension of endomorphism rings via ladders

Brandon Doherty, Eleonore Faber, Colin Ingalls

math.RA2022

Terminal orders on arithmetic surfaces

Daniel Chan, Colin Ingalls

math.RT2020

$\mathcal{A}\mathcal{V}$ modules of finite type on affine space

Yuly Billig, Colin Ingalls, Amir Nasr

math.NT2020

Quotient graphs and amalgam presentations for unitary groups over cyclotomic rings

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

math.RT2015

Semi-stable subcategories for Euclidean quivers

Colin Ingalls, Charles Paquette, Hugh Thomas

math.AG2026

A differential analogue of the wild automorphism conjecture

Jason Bell, Colin Ingalls, Rahim Moosa +1

math.AG2024

On stacky surfaces and noncommutative surfaces

Eleonore Faber, Colin Ingalls, Shinnosuke Okawa +1

math.NT2024

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

Taylor Dupuy, Anton Hilado, Colin Ingalls +1

math.RT2021

McKay quivers and Lusztig algebras of some finite groups

Ragnar-Olaf Buchweitz, Eleonore Faber, Colin Ingalls +1

math.AG2020

A McKay correspondence for reflection groups

Ragnar-Olaf Buchweitz, Eleonore Faber, Colin Ingalls

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

math.AG2017

The minimal model program for b-log canonical divisors and applications

Daniel Chan, Kenneth Chan, Louis de Thanhoffer de Völcsey +8

math.AG2010

On nodal Enriques surfaces and quartic double solids

Colin Ingalls, Alexander Kuznetsov

math.AG2013

Unramified Brauer classes on cyclic covers of the projective plane

Colin Ingalls, Andrew Obus, Ekin Ozman +1

math.RA2025

Some components of the moduli space of Koszul Artin-Schelter regular algebras of dimension four

Vishal Bhatoy, Colin Ingalls, Félix LaRoche +1

math.AG2020

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

Colin Ingalls, Adam Logan

math.RT2017

Homological behavior of idempotent subalgebras and Ext algebras

Colin Ingalls, Charles Paquette

math.RA2007

Canonical singularities of orders over surfaces

Daniel Chan, Paul Hacking, Colin Ingalls

math.RT2026

A universal sheaf of algebras governing representations of vector fields on quasi-projective varieties

Yuly Billig, Colin Ingalls

math.AG2010

Rank Two Sheaves on K3 Surfaces: A Special Construction

Colin Ingalls, Madeeha Khalid