HPM

Mathematics · Quasi-cluster algebras · Polytopes

Hubert
Plourde-Marcoux

I am a mathematics student currently completing a bachelor's degree at Université Laval and a research internship in quasi-cluster algebras, with a particular focus on their polytopal realization.

View my internship Open the Möbius Laboratory

01 — About

Mathematics, geometry, and combinatorics.

I am currently completing a bachelor's degree in mathematics at Université Laval and a research internship in quasi-cluster algebras. My interests include cluster and quasi-cluster algebras, convex polytopes, triangulations, and the combinatorics of non-orientable surfaces.

This website presents my research internship, academic interests, and interactive mathematics projects.

02 — Research internship

Polytopal realization of quasi-cluster algebras.

As part of a research internship, I study quasi-cluster algebras and, in particular, how their combinatorial structures can be realized by polytopes.

The project connects quasi-cluster combinatorics with triangulations of non-orientable marked surfaces.

Quasi-cluster algebras Polytopal realization Non-orientable surfaces

03 — Interactive project

Interactive mathematics

Möbius Laboratory

Explore regular arcs and the one-sided quasi-arc on a marked Möbius strip, inspect their lifts in the orientable double cover, test triangulations, and construct snake or band graphs directly in your browser.

  • Works locally in a modern browser
  • Interactive diagrams and isotopy-class checks
  • Available in English, French, and Japanese
Launch the laboratory ↗

04 — Contact

Let’s connect.

Feel free to contact me to discuss mathematics, quasi-cluster algebras, or polytopal realizations.

GitHub Email