Publications

• Analyzing multifiltering functions using multiparameter Discrete Morse Theory
  Brouillette, G. (2025). Topological Methods in Nonlinear Analysis, 66(2), 597–645.
  DOI: 10.12775/TMNA.2025.020
• Multiparameter discrete Morse theory
  Brouillette, G., Allili, M., & Kaczynski, T. (2024). Journal of Applied and Computational Topology, 8, 2155–2196.
  DOI: 10.1007/s41468-024-00176-7
• Characterization of the Principal 3D Slices Related to the Multicomplex Mandelbrot Set
  Brouillette, G., & Rochon, D. (2019). Advances in Applied Clifford Algebras, 29(39).
  DOI: 10.1007/s00006-019-0956-1
• Tricomplex Distance Estimation for Filled-In Julia Sets and Multibrot Sets
  Brouillette, G., Parisé, P.-O., & Rochon, D. (2019). International Journal of Bifurcation and Chaos, 29(6).
  DOI: 10.1142/S0218127419500858

Selected talks

• Les chandails ont trois trous : Une introduction à l'homotopie
  Horizons Mathématiques, Trois-Rivières, February 2026
• Toward an Application of Combinatorial Topological Dynamics to Multifiltering Functions
  Combinatorial Topological Dynamics, Kraków, May 2025
• Analyzing Multifiltrations Using Multiparameter Discrete Morse Theory
  VIII Symposium on Nonlinear Analysis, Toruń, June 2024
• Extending Morse-Forman theory to vector functions
  Foundations of Computational Mathematics 2023, Paris, June 2023
• Extending Morse-Forman Theory Through Combinatorial Dynamics
  Topological Methods in Nonlinear Analysis: Recent Advances — Professor Andrzej Granas' Memorial Conference, Montréal, July 2022