Alexander Garver's HomepageWelcome. I am a Postdoctoral Researcher at the Laboratoire de Combinatoire et d'Informatique Mathématique (LaCIM) at the Université du Québec à Montréal. I completed my PhD at the University of Minnesota, Twin Cities in June 2016 under the supervision of Gregg Musiker.
Algebraic combinatorics, cluster(-tilted) algebras, representation theory (of algebras, of quivers, etc.), (cluster-, τ-)tilting theory
Meetings and SeminarsLaCIM Seminar
Combinatorial Algebra meets Algebraic Combinatorics 2017 (CAAC 2017)
AMS Special Session on Cluster Algebras in Representation Theory and Combinatorics (May 2017)
Publications and Preprints
Semistable subcategories for tiling algebras (with Monica Garcia), in preparation.
Greene--Kleitman invariants for Sulzgruber insertion (with Rebecca Patrias). Submitted. arXiv:1708.09720
The canonical join complex for biclosed sets (with Alexander Clifton and Peter Dillery). Submitted. Preprint. arXiv:1708.02580
Enumerative properties of Grid-Associahedra (with Thomas McConville). Submitted. arXiv:1705.04901
Minimal Length Maximal Green Sequences (with Thomas McConville and Khrystyna Serhiyenko). In Advances in Applied Mathematics 96C (2018) pp. 76-138. arXiv:1702.07313 (slides, poster)
Oriented Flip Graphs and Noncrossing Tree Partitions (with Thomas McConville). arXiv:1604.06009 We have split the arXiv preprint into the second and third documents below. (slides1, slides2)
Lattice Properties of Oriented Exchange Graphs and Torsion Classes (with Thomas McConville). To appear in Algebras and Representation Theory. arXiv:1507.04268 (slides)
Combinatorics of Exceptional Sequences in Type A (with Kiyoshi Igusa, Jacob P. Matherne, Jonah Ostroff). Submitted. arXiv:1506.08927 (slides, poster)
A Combinatorial Model for Exceptional Sequences in Type A (with Jacob P. Matherne), Preprint arXiv:1412.3365
On Maximal Green Sequences for Type A Quivers (with Gregg Musiker). In Journal of Algebraic Combinatorics March 2017, Volume 45, Issue 2, pp 553-599. arXiv:1403.6149 (slides, poster, example)