Research Interests

Representation theory of (finite-dimensional and associative) algebras, cluster algebras, homological algebra.

Papers

  1. Generalized Rank via Minimal Subposet (with T. Brüstle and J. Desrochers). Preprint (2025). arXiv.
  2. Hidden Activations Are Not Enough: A General Approach to Neural Network Predictions (with M. Armenta and A. Rasolomanana). Preprint (2024). arXiv
  3. Batalin-Vilkovisky structure on Hochschild cohomology with coefficients in the dual algebra (with M. Armenta). Preprint (2018). arXiv (I joined as coauthor in 2025; revisions and extensions.)

Posters

  1. Minimal Initial Subcategory. Presented at Queen's Mathematics Summer School (2026). PDF
    ⋆ This poster won a Best Poster Award.
  2. Multiplicity of the Interval Module. Presented at AARMS-CMS Student Poster Session (CMS Summer Meeting) (2025). PDF
  3. Kernel of the Rank Invariant (with J. Desrochers). Presented at Summer Research School, Applications of Representation Theory in Topological Data Analysis and Geometric Invariant Theory (2024). PDF

Student Papers

  1. Multiplicité de la représentation indicatrice (with L. Baril). Submitted to Cahiers mathématiques de l'Université de Sherbrooke (2025). PDF
  2. Dégénérations des représentations de carquois de type 𝔸₃ à deux puits. To appear in Cahiers mathématiques de l'Université de Sherbrooke (2024). PDF
  3. Transformations de cercles orientés tangents sur la sphère de Riemann. Submitted to Cahiers mathématiques de l'Université de Sherbrooke (2023). PDF