Link to all the articles:  zbMATH

Accepted or published papers:

1. Shi variety corresponding to an affine Weyl group. 

Bulletin of The London Mathematical Society, 2020. [DOI, arXiv]

2. A symmetric group action on the irreducible components of the Shi variety in type A.

 Journal of Algebraic Combinatorics, 2020. [DOI, arXiv, HAL]

3. An order on circular permutations,

(with Antoine Abram, Christophe Reutenauer)

 Electronic journal of combinatorics, 2021.  [DOI, arXiv, HAL]

4. Lattice associated to a Shi variety. 

    Journal of combinatorics, 2021. [DOI, arXiv, HAL]

5. Affine twisted length function.

Comptes Rendus Mathématique, 2021. [DOI, arXiv, HAL]

6. ABHY Associahedra and Newton polytopes of F-polynomials for finite type cluster algebras,

(with Véronique Bazier-Matte,  Guillaume Douville,  Kaveh Mousavand,  Hugh Thomas,  Emine Yildirim). 

Journal of The London Mathematical Society, 2019/2023. [DOI, arXiv, HAL]

7. Shi arrangements and low elements in affine Coxeter groups,

(with Christophe Hohlweg).

 Canadian Journal of Mathemathics, 2022. [DOI, arXiv, HAL]

8. Atomic length in Weyl groups, 

(with Thomas Gerber). 

Journal of Combinatorial Algebra, 2022. [DOI, arXiv, HAL]

9. Elements of minimal length and Bruhat order on fixed point cosets of Coxeter groups,

(with Thomas Gobet).

Algebraic combinatorics, 2023. [DOI, arXiv, HAL]

10. Low elements in dominant Shi regions. 

To appear in the Rocky Mountain Journal of Mathematics, 2025. [arXiv]

11. The asymptotic Plancherel formula and Lusztig's asymptotic algebra in affine type A,

(with Jérémie Guilhot,  Eloise Little,  James Parkinson).

To appear in Selecta Mathematica, 2025. [arXiv, HAL]

Submitted papers:

1. Orientation of alcoves in affine Weyl groups, 2022. [arXiv]

2. Generalised core partitions and Diophantine equations, 2024 (with Olivier Brunat, Thomas Gerber). [arXiv, HAL]

3. A counterexample to a Brenti-Carnevale conjecture, 2024 (with Jean Fromentin). [arXiv]

My Ph.D. thesis:

Variétés de Shi associées aux groupes de Weyl affines, 2021. (Manuscript)

My Co-authors:

Antoine Abram,  Véronique Bazier-Matte,  Olivier Brunat, Jean Fromentin,  Thomas Gerber,  Thomas Gobet,  Jérémie Guilhot,  Christophe Hohlweg,  Eloise Little,  Kaveh Mousavand,  James Parkinson,  Christophe Reutenauer,  Hugh Thomas,   Emine Yildirim.