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, 2020/2024. [Journal, arXiv]

2. An order on circular permutations (with A. Abram, C. Reutenauer). Electronic journal of combinatorics, 2021.  [Journal, arXiv, HAL]

3. Lattice associated to a Shi variety. Journal of combinatorics, 2021. [Journal, arXiv, HAL]

4. Affine twisted length function. Comptes Rendus Mathématique, 2021. [Journal, arXiv, HAL]

5. A symmetric group action on the irreducible components of the Shi variety in type A. Journal of Algebraic Combinatorics, 2020. [Journal,  arXiv, HAL]

6. ABHY Associahedra and Newton polytopes of F-polynomials for finite type cluster algebras (with V. Bazier-Matte, G. Douville, K. Mousavand, H. Thomas, E. Yildirim). Journal of The London Mathematical Society, 2019/2023. [Journal, arXiv, HAL]

7. Shi arrangements and low elements in affine Coxeter groups (with C. Hohlweg). Canadian Journal of Mathemathics, 2022. [Journal,  arXiv, HAL]

8. Atomic length in Weyl groups, (with T. Gerber). Journal of Combinatorial Algebra, 2022. [Journal, arXiv, HAL]

9. Elements of minimal length and Bruhat order on fixed point cosets of Coxeter groups (with T. Gobet). Algebraic combinatorics, 2023. [Journal, arXiv, HAL]

Submitted papers:

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

2. Low elements in dominant Shi regions, 2023. [arXiv]

3. Generalised core partitions and Diophantine equations, 2024 (with O. Brunat, T. Gerber). [arXiv, HAL]

4. The asymptotic Plancherel formula and Lusztig's asymptotic algebra in affine type A, 2024 (with J. Guilhot, E. Little, J. Parkinson). [arXiv, HAL]

5. 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.