@misc{1707.00834,
author = {Daniel Chan and Kenneth Chan and Louis de Thanhoffer de Völcsey and Colin Ingalls and Kelly Jabbusch and Sándor J Kovács and Rajesh Kulkarni and Boris Lerner and Basil Nanayakkara and Shinnosuke Okawa and Michel Van den Bergh},
title = {The minimal model program for b-log canonical divisors and applications},
year = {2017},
eprint = {arXiv:1707.00834}
}
@misc{1704.05489,
author = {Benjamin Antieau and Asher Auel and Colin Ingalls and Daniel Krashen and Max Lieblich},
title = {Period-index bounds for arithmetic threefolds},
year = {2017},
eprint = {arXiv:1704.05489}
}
@misc{1709.04218,
author = {Ragnar-Olaf Buchweitz and Eleonore Faber and Colin Ingalls},
title = {A {M}cKay correspondence for reflection groups},
year = {2017},
eprint = {arXiv:1709.04218}
}
@misc{1703.08725,
author = {Colin Ingalls and Charles Paquette},
title = {Homological behavior of idempotent subalgebras and Ext algebras},
year = {2017},
eprint = {arXiv:1703.08725}
}
@misc{1805.09356,
author = {Daniel Chan and Colin Ingalls},
title = {Low dimensional orders of finite representation type},
year = {2018},
eprint = {arXiv:1805.09356}
}
@misc{1806.04600,
author = {Ragnar-Olaf Buchweitz and Eleonore Faber and Colin Ingalls},
title = {The magic square of reflections and rotations},
year = {2018},
eprint = {arXiv:1806.04600}
}
@incollection{MR3799487,
author = {Buchweitz, Ragnar-Olaf and Faber, Eleonore and Ingalls, Colin},
title = {Noncommutative resolutions of discriminants},
booktitle = {Representations of algebras},
series = {Contemp. Math.},
volume = {705},
pages = {37--52},
publisher = {Amer. Math. Soc., Providence, RI},
year = {2018},
mrclass = {14E16 (13C14 14A22 14E15)},
mrnumber = {3799487},
doi = {10.1090/conm/705/14199},
url = {https://doi.org/10.1090/conm/705/14199},
eprint = {arXiv:1702.00791}
}
@misc{1611.10278,
author = {Nathan Grieve and Colin Ingalls},
title = {On {K}odaira dimension of maximal orders},
year = {2016},
eprint = {arXiv:1611.10278}
}
@article{MR3642027,
author = {Bell, Jason P. and Ingalls, Colin and Ramkumar, Ritvik},
title = {Embeddings of quotient division algebras of rings of
differential operators},
journal = {Israel J. Math.},
fjournal = {Israel Journal of Mathematics},
eprint = {arXiv:1411.3574},
volume = {219},
year = {2017},
number = {1},
pages = {411--430},
issn = {0021-2172},
mrclass = {14A22 (13N10 16K20)},
mrnumber = {3642027},
url = {https://doi.org/10.1007/s11856-017-1485-z}
}
@article{MR3500780,
author = {Doherty, Brandon and Faber, Eleonore and Ingalls, Colin},
title = {Computing global dimension of endomorphism rings via ladders},
journal = {J. Algebra},
fjournal = {Journal of Algebra},
volume = {458},
year = {2016},
pages = {307--350},
issn = {0021-8693},
mrclass = {16G30 (13C14 14B05 16E10 16G70)},
mrnumber = {3500780},
doi = {10.1016/j.jalgebra.2016.03.020},
url = {http://dx.doi.org/10.1016/j.jalgebra.2016.03.020}
}
@article{MR3646764,
author = {Ingalls, Colin and Paquette, Charles},
title = {Homological dimensions for co-rank one idempotent subalgebras},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {369},
year = {2017},
number = {8},
pages = {5317--5340},
issn = {0002-9947},
mrclass = {16E10 (16E05 16P40 16S35 16W50)},
mrnumber = {3646764},
url = {https://doi.org/10.1090/tran/6815},
eprint = {arXiv:1405.5429}
}
@incollection{MR3616009,
author = {Ingalls, Colin and Obus, Andrew and Ozman, Ekin and Viray,
Bianca},
title = {Unramified {B}rauer classes on cyclic covers of the projective
plane},
booktitle = {Brauer groups and obstruction problems},
series = {Progr. Math.},
eprint = {arXiv:1310.8005},
volume = {320},
pages = {115--153},
note = {With an appendix by Hugh Thomas},
publisher = {Birkh\"auser/Springer, Cham},
year = {2017},
mrclass = {14F22 (14J28 14J50 15A66 16K50)},
mrnumber = {3616009}
}
@article{DaFI,
author = {Dao, Hailong and Faber, Eleonore and Ingalls, Colin},
title = {Noncommutative (crepant) desingularizations and the global
spectrum of commutative rings},
journal = {Algebr. Represent. Theory},
fjournal = {Algebras and Representation Theory},
volume = {18},
year = {2015},
number = {3},
pages = {633--664},
issn = {1386-923X},
mrclass = {14E15 (13C14 14A22 14B05 16E10)},
mrnumber = {3357942},
doi = {10.1007/s10468-014-9510-y},
url = {http://dx.doi.org/10.1007/s10468-014-9510-y},
eprint = {arXiv:1401.3000}
}
@article{IPT,
author = {Ingalls, Colin and Paquette, Charles and Thomas, Hugh},
title = {Semi-stable subcategories for {E}uclidean quivers},
journal = {Proc. Lond. Math. Soc. (3)},
fjournal = {Proceedings of the London Mathematical Society. Third Series},
volume = {110},
year = {2015},
number = {4},
pages = {805--840},
issn = {0024-6115},
mrclass = {16G20},
mrnumber = {3335288},
doi = {10.1112/plms/pdv002},
url = {http://dx.doi.org/10.1112/plms/pdv002},
eprint = {arXiv:1212.1424}
}
@article{IKh2,
author = {Ingalls, Colin and Khalid, Madeeha},
title = {An explicit derived equivalence of {A}zumaya algebras on {K}3
surfaces via {K}oszul duality},
journal = {J. Algebra},
fjournal = {Journal of Algebra},
volume = {432},
year = {2015},
pages = {300--327},
issn = {0021-8693},
mrclass = {14D20 (14F05 14J28)},
mrnumber = {3334150},
doi = {10.1016/j.jalgebra.2015.02.024},
url = {http://dx.doi.org/10.1016/j.jalgebra.2015.02.024},
eprint = {arXiv:1104.4333}
}
@article{IKu,
author = {Ingalls, Colin and Kuznetsov, Alexander},
title = {On nodal {E}nriques surfaces and quartic double solids},
journal = {Math. Ann.},
fjournal = {Mathematische Annalen},
volume = {361},
year = {2015},
number = {1-2},
pages = {107--133},
issn = {0025-5831},
mrclass = {14F05 (14E20 14J28 14J30)},
mrnumber = {3302614},
mrreviewer = {I. Dolgachev},
doi = {10.1007/s00208-014-1066-y},
url = {http://dx.doi.org/10.1007/s00208-014-1066-y},
eprint = {arXiv:1012.3530}
}
@article{IKh1,
author = {Ingalls, Colin and Khalid, Madeeha},
title = {Rank 2 sheaves on {K}3 surfaces: a special construction},
journal = {Q. J. Math.},
fjournal = {The Quarterly Journal of Mathematics},
volume = {64},
year = {2013},
number = {2},
pages = {443--470},
issn = {0033-5606},
mrclass = {14J28 (14D22 14F05 14J60 32J15)},
mrnumber = {3063517},
mrreviewer = {Justin Sawon},
doi = {10.1093/qmath/has009},
url = {http://dx.doi.org/10.1093/qmath/has009},
eprint = {arXiv:0803.0179}
}
@incollection{CI3,
author = {Chan, Daniel and Ingalls, Colin},
title = {Conic bundles and {C}lifford algebras},
booktitle = {New trends in noncommutative algebra},
series = {Contemp. Math.},
volume = {562},
pages = {53--75},
publisher = {Amer. Math. Soc., Providence, RI},
year = {2012},
mrclass = {14J45 (15A66 16H10)},
mrnumber = {2905553},
mrreviewer = {Flaminio Flamini},
doi = {10.1090/conm/562/11130},
url = {http://dx.doi.org/10.1090/conm/562/11130}
}
@article{IT,
author = {Ingalls, Colin and Thomas, Hugh},
title = {Noncrossing partitions and representations of quivers},
journal = {Compos. Math.},
fjournal = {Compositio Mathematica},
volume = {145},
year = {2009},
number = {6},
pages = {1533--1562},
issn = {0010-437X},
mrclass = {16G20 (05E10 05E15 13F60)},
mrnumber = {2575093 (2010m:16021)},
mrreviewer = {Gregoire Dupont},
doi = {10.1112/S0010437X09004023},
url = {http://dx.doi.org/10.1112/S0010437X09004023},
eprint = {arXiv:math/0612219}
}
@article{CHI,
author = {Chan, Daniel and Hacking, Paul and Ingalls, Colin},
title = {Canonical singularities of orders over surfaces},
journal = {Proc. Lond. Math. Soc. (3)},
fjournal = {Proceedings of the London Mathematical Society. Third Series},
volume = {98},
year = {2009},
number = {1},
pages = {83--115},
issn = {0024-6115},
mrclass = {16H05 (14B05 14E16 14E30)},
mrnumber = {2472162 (2010g:16027)},
mrreviewer = {Adam Nyman},
doi = {10.1112/plms/pdn025},
url = {http://dx.doi.org/10.1112/plms/pdn025}
}
@article{CI2,
author = {Chan, Daniel and Ingalls, Colin},
title = {The minimal model program for orders over surfaces},
journal = {Invent. Math.},
fjournal = {Inventiones Mathematicae},
volume = {161},
year = {2005},
number = {2},
pages = {427--452},
issn = {0020-9910},
coden = {INVMBH},
mrclass = {16S38 (14A22)},
mrnumber = {2180454 (2008b:16043)},
doi = {10.1007/s00222-005-0438-z},
url = {http://dx.doi.org/10.1007/s00222-005-0438-z}
}
@article{CI1,
author = {Chan, Daniel and Ingalls, Colin},
title = {Non-commutative coordinate rings and stacks},
journal = {Proc. London Math. Soc. (3)},
fjournal = {Proceedings of the London Mathematical Society. Third Series},
volume = {88},
year = {2004},
number = {1},
pages = {63--88},
issn = {0024-6115},
coden = {PLMTAL},
mrclass = {14A22 (14A20 16S38)},
mrnumber = {2018958 (2005c:14002)},
mrreviewer = {Peter J{\o}rgensen},
doi = {10.1112/S0024611503014278},
url = {http://dx.doi.org/10.1112/S0024611503014278}
}
@article{IPat,
author = {Ingalls, Colin and Patrick, David},
title = {Blowing up quantum weighted projective planes},
journal = {J. Algebra},
fjournal = {Journal of Algebra},
volume = {254},
year = {2002},
number = {1},
pages = {92--114},
issn = {0021-8693},
coden = {JALGA4},
mrclass = {16S38 (14A22 16S36)},
mrnumber = {1927433 (2003h:16044)},
mrreviewer = {Darin R. Stephenson},
doi = {10.1016/S0021-8693(02)00036-4},
url = {http://dx.doi.org/10.1016/S0021-8693(02)00036-4}
}
@article{I,
author = {Ingalls, Colin},
title = {Quantizable orders over surfaces},
journal = {J. Algebra},
fjournal = {Journal of Algebra},
volume = {207},
year = {1998},
number = {2},
pages = {616--656},
issn = {0021-8693},
mrclass = {14J99 (16H05)},
mrnumber = {1644207 (99h:14045)},
mrreviewer = {Manuel Ojanguren},
doi = {10.1006/jabr.1998.7462},
url = {http://dx.doi.org/10.1006/jabr.1998.7462}
}
@book{ITh,
author = {Ingalls, Colin},
title = {Deformations of orders},
note = {Thesis (Ph.D.)--Massachusetts Institute of Technology},
publisher = {ProQuest LLC, Ann Arbor, MI},
year = {1997},
pages = {(no paging)},
mrclass = {Thesis},
mrnumber = {2716730},
url = {http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:0598655}
}
@article{IB,
author = {Borwein, Peter and Ingalls, Colin},
title = {The {P}rouhet-{T}arry-{E}scott problem revisited},
journal = {Enseign. Math. (2)},
fjournal = {L'Enseignement Math\'ematique. Revue Internationale. 2e
S\'erie},
volume = {40},
year = {1994},
number = {1-2},
pages = {3--27},
issn = {0013-8584},
coden = {ENMAAR},
mrclass = {11D72 (11P05)},
mrnumber = {1279058 (95d:11038)},
mrreviewer = {Ekkehard Kr{\"a}tzel}
}
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