Research Interest:
My research focuses on Algebraic Coding Theory, and more precisely on the combinatorial structure of error-correcting codes. As of January 2025, I have started a postdoc at Eindhoven University of Technology on quantum-error correction. I am interested in understanding how graph theory can be used in quantum computation and quantum information theory.
Additionally, I am interested in the matroidal structure of linear codes (block or rank-metric codes). It is known that both linear block codes induce a matroid whereas a rank-metric code induce a q-matroid. In both cases the (q-)matroid induced captures many of the combinatorial properties of the code. This connection can provide additional insight about the combinatorial structure of codes.
Papers:
(with A. Abiad) Eigenvalues bounds for the quantum chromatic number of graph power. Submitted. arXiv:2503.02367
(with H. Gluesing-Luerssen) The Cloud and Flock Polynomials of q-Matroids. arXiv:2501.14984
(with A. Ravagnani). t-Balanced Codes with the Kendall-tau metric. Submitted. arXiv:2405.14228
(with A. Gruica and A. Ravagnani) LRCS: Duality, LP bounds, and Field Size. Submitted. arXiv:2309.03676, 2023.
(with H. Gluesing-Luerssen) Decomposition of q-Matroids using Cyclic Flats. SIAM Journal on Discrete Mathematics 38 (4), 2940-2970, 2024
(with H. Gluesing-Luerssen) Representability of the Direct Sum of q-Matroids. Journal of Algebraic Combinatorics 61 (4), 1-16 2025
(with A. Gruica and A. Ravagnani) Duality and LP Bounds for Codes with Locality. 2023 IEEE Information Theory Workshop (ITW), 347-352, 2023.
The Projectivization Matroid of a q-Matroid. SIAM Journal on Applied Algebra and Geometry 7 (2), 386-413, 2023.
(with H. Gluesing-Luerssen) Coproducts in Categories of q-Matroids. European Journal of Combinatorics 112, 103733, 2022.
(with H. Gluesing-Luerssen) Independent Spaces of q-Polymatroids. Algebraic Combinatorics 5 (4), 727-744, 2022.
(with H. Gluesing-Luerssen) q-Polymatroids and Their Relation to Rank Metric Codes. Journal of Algebraic Combinatorics 56 (3), 725-753, 2022.