Research Interests

Representation theory, cluster algebras, homological algebra, topological data analysis (TDA), machine learning.

Papers

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

Posters

  1. Multiplicity of the Interval Module. AARMS-CMS Student Poster Session (CMS Summer Meeting) (2025). ResearchGate
  2. Kernel of the Rank Invariant (with J. Desrochers). Summer Research School, Applications of Representation Theory in Topological Data Analysis and Geometric Invariant Theory (2024). ResearchGate

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