Mathematics

What I'm Thinking About

I'm currently thinking about represenations of quivers, continuous quivers, persistent homology, and functor categories.

Research Statement

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

  • 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

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

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