Alexander Garver's HomepageWelcome. I am a Postdoctoral Assistant Professor at the University of Michigan. Before coming to Michigan, I was 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.), lattice theory, (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)
Winter 2020: Math 215
Publications and Preprints
Combinatorics of type D exceptional sequences (with Emily Carrick). arXiv:2004.08033
Counting linear extensions of posets with determinants of hook lengths (with Stefan Grosser, Jacob P. Matherne, and Alejandro H. Morales). arXiv:2001.08822
Leading terms of SL3 web invariants (with Véronique Bazier-Matte, Guillaume Douville, Rebecca Patrias, Hugh Thomas, and Emine Yıldırım). International Mathematics Research Notices, to appear. arXiv:1903.10529.
Minuscule reverse plane partitions via quiver representations (with Rebecca Patrias and Hugh Thomas). arXiv:1812.08345 (slides1, slides2, slides3, slides4, slides5)
A categorification of biclosed sets of strings (with Thomas McConville and Kaveh Mousavand). Journal of Algebra, to appear. arXiv:1808.10346
Semistable subcategories for tiling algebras (with Monica Garcia). Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, to appear. arXiv:1806:10091 (poster, video)
Greene--Kleitman invariants for Sulzgruber insertion (with Rebecca Patrias). In Electronic Journal of Combinatorics 26(3) (2019) #P3.25. arXiv:1708.09720
The canonical join complex for biclosed sets (with Alexander Clifton and Peter Dillery). In Algebra Universalis (2018) 79: 84 Preprint. arXiv:1708.02580 (poster)
Enumerative properties of Grid-Associahedra (with Thomas McConville). Submitted. arXiv:1705.04901 The arXiv preprint is being slipt into more than one document; one these appears below.
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). In Algebras and Representation Theory 22(1) (2019) pp. 43-78. arXiv:1507.04268 (slides, erratum)
Combinatorics of Exceptional Sequences in Type A (with Kiyoshi Igusa, Jacob P. Matherne, Jonah Ostroff). In Electronic Journal of Combinatorics 26(1) (2019) #P1.20. 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)