## Charles Paquette

Title: |
Assistant Professor |

Dept: |
RMC Math & Computer Science |

Email: |
charles.paquette@rmc.ca |

Website: |
www.rmc-cmr.ca/.../dr-charles-paquette |

** Research Profile**

My main research area is the representation theory of algebras. I am also interested in other closely related branches of mathematics such as category theory, homological algebra, geometric representation theory and combinatorics.

** Current Positions**

Assistant Professor at the Royal Military College of Canada.

I am cross-appointed at Queen's University

** Previous Positions**

Postdoctoral Fellow at the University of Connecticut (2014-2017)

Postdoctoral Fellow at the University of New Brunswick (2011-2014)

** Refereed Publications**

C. Paquette, * Generators versus projective generators in abelian categories*, 11 pages, 2018, to appear in Journal of Pure and Applied Algebra, arXiv:1710.07239.

C. Ingalls and C. Paquette, *Homological dimensions for co-rank one idempotent subalgebras*, Trans. AMS, 369 (2017), no. 8, 5317–5340, arXiv:1405.5429.

S. Liu and C. Paquette, *Cluster category of type A double infinity and triangulations of the infinite strip*, Math. Z., 286 (2017), 197–222, arXiv:1505.06062.

C. Paquette and J. Weyman, *Isotropic Schur roots*, 31 pages, 2016, to appear in Trans. Groups, arXiv:1605.05719.

C. Paquette, *Accumulation points of real Schur roots*, Journal of Algebra, 464 (2016), 316–347, arXiv:1503.02054.

C. Paquette, *Irreducible morphisms and locally finite dimensional representations*, Algebras and Representation Theory, 19 (2016), no. 5, 1239–1255, arXiv:1508.04353.

C. Ingalls, C. Paquette and H. Thomas, *Semi-stable subcategories for Euclidean quivers*, Proc. London Math. Soc., 110 (2015), no. 4, 805-840, arXiv:1212.1424.

S. Liu and C. Paquette, *Standard components of a Krull-Schmidt category*, Proc. Amer. Math. Soc., 145 (2015), 45-59, arXiv:1208.5032.

S. Liu, P. Ng and C. Paquette, *Almost split sequences and approximations*, Algebras and Representation Theory, 16 (2013), no. 6, 1809-1827, arXiv:1203.5009.

R. Bautista, S. Liu and C. Paquette, *Representation theory of strongly locally finite quivers*, Proc. of the London Math. Soc., 106 (2013), no. 1, 97-162, arXiv:1109.3176.

C. Paquette, *On the Auslander-Reiten quiver of the representations of an infinite quiver*, Algebras and Representation Theory, 16 (2013), no. 6, 1685-1715, arXiv:1201.4833.

C. Paquette, *A non-existence theorem for almost split sequences*, Communications in Algebra, 40 (2012), no. 12, 4617-4626, arXiv:1104.1195.

K. Igusa, S. Liu and C. Paquette, *A proof of the strong no loop conjecture*, Advances in Mathematics, 228 (2011), no. 5, 2731-2742, arXiv:1103.5361.

C. Paquette, *Strictly stratified algebras revisited*, Communications in Algebra, 37 (2009), no. 8, 2591-2600.

S. Liu and C. Paquette, *Stably triangulated algebras*, Journal of Algebra, 320 (2008), 2629-2631.

S. Liu and C. Paquette, *Some homological conjectures for quasi-stratified algebras*, Journal of Algebra, 301 (2006), 240-255.

** Submitted**

C. Paquette and R. Schiffler, *Group actions and cluster categories*, 48 pages, 2017, arXiv:1703.06174.

C. Ingalls and C. Paquette, *Homological behavior of idempotent subalgebras and Ext-algebras*, 12 pages, 2017, arXiv:1703.08725.