Mathematics
What I'm Thinking About
What I'm Thinking About
I'm currently thinking about represenations of quivers, continuous quivers, persistent homology, and functor categories.
Submitted Preprints
Submitted Preprints
- (With Eric J. Hanson) Decomposition of Pointwise Finite-Dimensional S^1 Persistence Modules. Submitted. Preprint: arxiv:2006.13793, 2020
- (With Kiyoshi Igusa and Gordana Todorov) Continuous Quivers of Type A (I) The Generalized Barcode Theorem. Submitted. Preprint: arXiv:1909.10499, 2019
Other Preprints
Other Preprints
- Continuous Quivers of Type A (IV) Continuous Mutation and Geometric Models of E-clusters, arXiv:2004.11341, 2020
- (With Kiyoshi Igusa and Gordana Todorov) Continuous Quivers of Type A (III) Embeddings of Cluster Theories, arXiv:2004.10740, 2020
- Continuous Quivers of Type A (II) The Auslander-Reiten space, arXiv:1910.04140, 2019
Invited Talks
Invited Talks
Cluster Theories and Continuous Mutation - 29 April 2020 [Virtual due to COVID-19]
- Séminaire D’algèbre
- Université de Sherbrooke
The Auslander-Reiten Space - 8 November 2019
- Representation Theory and Related Topics Seminar
- Northeastern University
New Continuous Cluster Category - 17 August 2019
- Homological Methods and Tilting Theory of Finite Dimensional Algebras
- In Honor of Gordana Todorov's 70th Birthday
- University of Iowa
Continuous Representations - 16 July 2019
- Functor Categories, Model Theory, and Constructive Category Theory
- University of Tartu, Pärnu College
Continuous Representations: What goes right and what goes wrong? Part II - 6 May 2019
- Representation Theory and Related Topics Seminar
- Northeastern University
Continuous Representations: What goes right and what goes wrong? Part I - 3 May 2019
- Representation Theory and Related Topics Seminar
- Northeastern University
More Talks
More Talks
Continuous Cluster Categories - 7 September 2019
- XXXIème Rencontre de Théorie des Représentations des Algèbres
- Université de Sherbrooke
Continuous Clusters and Continuous Mutation [slides] - 28 April 2019
- Maurice Auslander Distinguished Lectures and International Conference
Continuous Representations - 7 September 2018
- XXXème Rencontre de Théorie des Représentations des Algèbres
- Université de Sherbrooke