Anna Vanden Wyngaerd

Curriculum Vitae

Timeline

• 2011-2014 Bachelor in mathematics at ULB.
• 2014-2016 Master in mathematics at ULB with one term abroad at UBC (Canada).
• 2016- 2020 PhD at ULB under the supervision of Michele D'Adderio. Title of the dissertation: "Delta conjectures and Theta refinements".
• 2021 - 2022 post-doc at IRIF, Université de Paris (FSMP-fellow).
• 2022 - present post-doc at ULB.

Teaching

• During my Phd, I was a half-time teaching assistant at ULB. I taught the exercise sessions for topics including linear algebra, analysis, topology, ring theory, Galois theory and general mathematics courses.
• Summer 2022: lecturer on SageMath at ICTP-EAUMP School on Mathematical Programming and Algorithms in Nairobi. Here are my course materials.
• Fall 2022: co-lecturer for PhD course at the University of Pisa on Chromatic symmetric functions. Here is are the notes.
• Fall 2023: lecturer for the first year course Calcul Matriciel et Géométrie analytique, at ULB.

Miscellaneous

• Some animations I made for teaching purposes: Pythagoras , Al-Kashi , Koch, cos, squarefractal, dérivée, logarithmes.
  They were created using the Python library Manim. I'll gladly share all the code, just contact me.
• Pourquoi être critique face au numérique á l'école ? Comment en faire un outil émancipateur ?
• I never open ms teams, send me an email instead.

Research

Papers and preprints

• Shuffle theorems and sandpiles with Michele D'Adderio , Mark Dukes, Alessandro Iraci, Alexander Lazar, Yvan Le Borgne - ArXiv preprint (2023)
  Click to acces the associated graph animation and toppling animation.
• Smirnov words and the Delta Conjectures with Alessandro Iraci and Philippe Nadeau - Advances in Mathematics (2024)
• Combinatorics of the Delta conjecture at q=-1 with Sylvie Corteel and Matthieu Josuat-Vergès - to appear in Algebraic Combinatorics (2024)
• Rectangular analogues of the square paths conjecture and the univariate Delta conjecture with Alessandro Iraci, Roberto Pagaria and Giovanni Paolini. - Combinatorial Theory (2023).
• Tiered trees and Theta operators with Michele D'Adderio , Alessandro Iraci, Yvan LeBorgne and Marino Romero. - International Mathematics Research Notices (2022).
• "Pushing" our way from the valley Delta to the generalised valley Delta with Alessandro Iraci - Algebraic Combinatorics (2022).
• A valley version of the Delta square conjecture with Alessandro Iraci - Annals of Combinatorics (2021).
• Theta operators, refined Delta conjectures and coinvariants with Michele D'Adderio and Alessandro Iraci - Advances in Mathematics (2020).
• The generalized Delta conjecture at t=0 with Michele D'Adderio and Alessandro Iraci - European Journal of Combinatorics (2020).
• The Delta square conjecture with Michele D'Adderio and Alessandro Iraci - International Mathematics Research Notices (2019).
• The Schroder case of the generalized Delta conjecture with Michele D'Adderio and Alessandro Iraci - European Journal of Combinatorics (2019).
• Decorated Dyck paths, polyominoes, and the Delta conjecture with Michele D'Adderio and Alessandro Iraci - Memoirs of the American Mathematical Society (2022).

PhD manuscript

Here is the full text of my PhD dissertation.

Talks

• The slides for my talk "A sandpile model for the shuffle theorem" at the BMS young scholar day in december 2023 and at the Labri seminar in march 2024. The accompanying videos can be found here: graph creation and toppling.
• The slides for my talk "Combinatorics of the Delta conjecture at q = -1" (Séminaire, Université Claude Bernard Lyon 1)
• The slides for my talk "Tiered trees polyominoes and Theta operators" (Journée ANR combiné février 2022, Séminaire combi IRIF février 2022).
• The video I used as a visual support during my talk entitled Two Delta conjecture implications at JCB 2021. Here is the the video for the slightly extended version of the same talk I gave at the aplied algebra seminar of York University.
• Here are the slides I used during the public defense of my thesis.