# Charles Paquette

**Office:** Mont 402

**Telephone:** 860 486-1286

**Research Interests:** Representation theory of associative algebras and related topics

**Email:**

**Current position:** Assistant Research Professor at the University of Connecticut

Here is a list of my publications:

** Refereed publications**:

C. Paquette, *Accumulation points of real Schur roots*, to appear in Journal of Algebra, 28 pages, 2016, arXiv:1503.02054 .

S. Liu and C. Paquette, *Cluster category of type A double infinity and triangulations of the infinite strip*, to appear in Math. Z., 27 pages, 2016, arXiv:1505.06062 .

C. Paquette, *Irreducible morphisms and locally finite dimensional representations*, to appear in Algebras and Representation Theory, 2016, 19 pages, DOI 10.1007/s10468-016-9617-4 arXiv:1508.04353 .

C. Ingalls and C.Paquette, *Homological dimensions for co-rank one idempotent subalgebras*, to appear in Trans. Amer. Math. Soc., 24 pages, 2015, arXiv:1405.5429.

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:/1208.5032v1.

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 papers**:

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

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

C. Paquette and J. Weyman, *Isotropic Schur roots*, 31 pages, 2016, arXiv:1605.05719 .

** For more details about me, please consult my cv.**

** Teaching (Spring 2017)**:

Abstract Algebra II- Math 5211.

Applied Linear Algebra - Math 2210Q.

A link to my astrophotography website, in French: click here