GATECHAIN-TOKEN-AUSTAUSCH

My main interest lies in the thoery of Coxeter groups and their connected structures. In particular I am intersted in the study of the combinatorics of Coxeter groups, hyperplane arrangements, oriented matroids, root systems, and generalized associahedra and permutahedra.

• Enumerating regions of Shi arrangements per Weyl Cone, with Eleni Tzanaki in European J. Combin. 122 (2024) - arXiv link.
• Maximal degree subposets of $\nu$-Tamari lattices in Electronic journal of combinatorics 30, 2 (2023) - arXiv link.
• The facial weak order on hyperplane arrangements, with Christophe Hohlweg, Thomas McConville and Vincent Pilaud in Discrete and Computational Geometry 67 (2022) - arXiv link
• Sign variation and descents, with Nantel Bergeron and John Machacek in Electronic journal of combinatorics 27, 4 (2020) - arXiv link.
• The facial weak order of finite Coxeter groups and its lattice of quotients, with Christophe Hohlweg and Vincent Pilaud in Trans. Amer. Math. Soc. 370 (2018) - arXiv link

• Thin MC left regular bands
• Conjugacy class growth in virtually abelian groups - Joint with Alex Evetts

• Facial weak order, Coxeter groups and oriented matroids. Thesis, Université du Québec à Montréal, October 2019.

• Upcoming talks
  
  
  • Discrete Math Seminar, Phoenix, Arizona, USA (Dec 2024)
• Conjugacy class growth in affine Coxeter groups
  
  
  • 90th Séminaire Lotharingien de Combinatoire, Bad Boll, Germany (Sept 2023) [gateio app]
• Enumerating Weyl cones of Shi arrangements
  
  
  • Discrete Math Seminar, Phoenix, Arizona, USA (Apr 2024) [slides]
  • Three talks in Combinatorics, Barcelona, Spain (Jan 2024) [slides]
  • Various Guises of Reflection Arrangements, ICMS (March 2023) [slides]
  • 89th Séminaire Lotharingien de Combinatoire, Bertinoro, Italy (March 2023) [slides]
• Maximal degree subposets of nu-Tamari lattices
  
  
  • Algebra Seminar, Leeds University (December 2022) [slides]
• The importance of being straight
  
  
  • Dalhousie University Honours Seminar (January 2022) [slides]
  • Graduate Online Combinatorics Colloquium (April 2021) [slides]
• Sign Variation and Descents
  
  
  • Discrete Geometry Seminar FU Berlin (June 2021) [slides]
  • Algebra, Geometry and Combinatorics Online Seminar, Online (January 2021) [slides]
  • Algebra and Discrete Mathematics Seminar, University of California, Davis, Online (January 2021) [slides]
  • Combinatorics Seminar, University of Minnesota, Online (December 2020) [slides]
  • Combinatorics Seminar, University of Copenhagen, Online (November 2020) [slides]
  • Discrete Math Seminar, University of Massachusetts, Amherst, Online (November 2020) [slides]
  • Algebra and representation theory seminar, University of Oklahoma, Online (October 2020) [slides]
  • Algebraic (and enumerative) combinatorics seminar, University of Waterloo, Online (September 2020) [slides]
  • Rocky Mountain Algebraic Combinatorics Seminar (September 2020) [slides]
• Facial weak order in hyperplane arrangements
  
  
  • Algebra Seminar, Manchester University (March 2022) [slides]
  • University of Queensland, Brisbane (August 2019) [slides]
  • Flags, galleries and reflection groups University of Sydney, Sydney, Australia (5-9 August 2019) [slides]
  • University of California Davis, CA (June 2019) [slides]
  • CanaDAM 2019, Vancouver, British Columbia, Canada (May 2019) [slides]
  • University of Minnesota seminar, Minneapolis, MN (May 2019) [slides]
  • North Carolina State University seminar, Raleigh, NC (April 2019) [slides]
  • Graduate students in combinatorics conference 2019, Philadelphia, PA (April 2019) [slides]
  • University of Toronto Applied Algebra Seminar, Toronto, Canada (November 2018) [slides]
• The facial weak order of finite Coxeter groups and its lattice of quotients
  
  
  • 10th Ottawa Mathematics Conference (June 2017) [slides]
  • Séminaire du LaCIM, UQAM, Montréal, Canada (November 2016)
  • 28th International Conference on Formal Power Series and Algebraic Combinatorics (July 2016) [slides]
  • 2016 Canadian Mathematics Society Summer Meeting (June 2016) [slides]
  • XIX^e Colloque panquébécois des étudiants de l'Institut des sciences mathématiques (May 2016) [slides]
• The facial weak order and its lattice quotients
  
  
  • AMS Spring Eastern Sectional Meeting, Hartford, Connecticut (April 2019) [slides]
  • Algebraic Combinatorics and Group actions (July 2016) [slides]
  • Séminaire Lotharingien de Combinatoire 76 (April 2016) [slides]
• Thesis Defense
  
  
  • Université du Québec à Montréal (August 2019) [gate.io]
• Sage sessions
  
  
  • Sage sessions - gateio login Bogotá, Colombia (15-26 June 2021)

• Sign variations and descents
  
  
  • FPSAC 2021, Online (10-13 January 2022) [slides]
• Facial weak order on hyperplane arrangements
  
  
  • FPSAC 2020, Online (6-24 July 2020) [slides]
  • Summer school on geometric and algebraic combinatorics Paris, France (17-28 June 2019)
• The facial weak order in finite Coxeter groups
  
  
  • Journées Nationales 2018 du GDR informatique Math\'ematique, Paris, France (April 2018)

None currently.

• University of Manchester - 20222 - Introduction to Geometry - Semester 2, 2023
• York University - 2030A - Elementary Probability - Summer 2021
• gateio app
• UQAM - MAT0344 - Calcul Intégral - Automne 2018
• UQAM - MAT1600 Algèbre Matricielle - Automne 2017

• Introduction to Python for SageDays 78. [Cocalc Worksheet]

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• Oriented Matroids
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