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