My research interests lie primarily in the field of combinatorics on words. My work focuses on binomial coefficients of words and related notions. On a different side, I have also explored the domain of combinatorial game theory, with a particular emphasis on the Wythoff game and some of its variants, studied using the Walnut software.

Below is a list of my publications and scientific communications (talks and posters).

Publications

Peer-reviewed journals

1. A. R. and M. Rigo. Variants of the Wythoff game with terminal positions or blocking maneuvers. Journal of Integer Sequences 29 (2026), Article 26.1.6
   arXiv ; ORBi
2. B. Mignoty, A. R., M. Rigo, and M. A. Whiteland. Automatic proofs in combinatorial game theory. International Journal of Game Theory 54 (2025), 35.
   doi ; ORBi
3. A. R., M. Rigo, and M. A. Whiteland. Introducing \(q\)-deformed binomial coefficients of words. Journal of Algebraic Combinatorics 61 (2025), 25.
   doi ; arXiv ; ORBi
4. A. R., M. Rigo, and M. A. Whiteland. \(q\)-Parikh matrices and \(q\)-deformed binomial coefficients of words. Discrete Mathematics 348 (2025), 5.
   doi ; arXiv ; ORBi

Scientific communications

Items marked with a * are invited talks.

Talks in international conferences and seminars

1. Automatic proofs in combinatorial game theory, Numeration and Substitutions 2025, University of Tsukuba, Japan, September 8-12, 2025.
   Slides
2. Automatic proofs in combinatorial game theory, 15th Days on Computational Game Theory, Tilburg University, The Netherlands, March 6-7, 2025.
   Slides
3. \(q\)-deformed binomial coefficients of words, Mons 19th Theoretical Computer Science Days, Côte d'Azur University, Nice, France, September 2-6, 2024.
   Slides

Talks in local seminars and workshops

4. A stroll around binomial coefficients, PhD Day 2026, University of Liège, Liège, Belgium, May 20, 2026.
   Blackborad presentation.
5. *\(q\)-deformed binomial coefficients of words, Séminaire ADA, Laboratoire de Mathématiques Pures et Appliquées Joseph Liouville (LMPA), Université du Littoral Côte d'Opale (ULCO), Calais, France, December 11, 2025.
   Slides
6. Automatic proofs in combinatorial game theory, PhD Seminar Days 2025, University of Luxembourg, Belval, Luxembourg, May 19-21, 2025.
   Slides
7. \(q\)-deformed binomial coefficients of words, Workshop "Words and Subwords", University of Liège, Liège, Belgium, May 12-16, 2025.
   Slides
8. \(q\)-deformed binomial coefficients of words, PhD Away Days 2024, University of Liège, Liège, Belgium, October 21-23, 2024.
   Slides
9. *\(q\)-deformed binomial coefficients of words, Séminaire d'informatique théorique, University of Rouen, Rouen, France, October 3, 2024.
   Slides
10. \(q\)-deformations of binomial coefficients of words, Discrete mathematics seminar, University of Liège, Liège, Belgium, November 10, 2023.
    Slides
11. \(q\)-deformations of binomial coefficients of words, Séminaire du Laboratoire de Mathématiques de Reims, University of Reims Champagne-Ardenne, Reims, France, June 27, 2023.
    Slides
12. \(q\)-deformations of binomial coefficients of words, PhD Seminar of the UR Mathematics, University of Liège, Liège, Belgium, April 11, 2023.
    Slides

Posters

1. Generalisations of the binomial coefficient of words, CANT 2025, CIRM, Marseille, France, September 29-October 3, 2025.
   Poster
2. \(q\)-deformations of binomial coefficients of words, Journées Nationales d'Informatique Mathématique 2023, IRIF (University Paris Cité), Paris, France, April 4-7, 2023.
   Poster