Combinatorics,
q-Matroid theory,
Algebraic coding theory: codes with Hamming, rank, and insertion-deletion metrics
I am currently working as a postdoctoral researcher in the GRACE team in Inria Saclay Centre. The latest topic I am exploring is decoding algorithms for the rank metric codes and their cryptographic applications. Also, I am fascinated in the interplay between codes and matroid-like structures. More precisely, I am interested in the topological, combinatorial, and commutative algebraic aspects of shellable simplicial complexes. Parts of my previous and current research works is about extending these properties to more general class of posets that enjoy the shellability property in some sense. Other than these, I am keen to implement various tools (algebraic, geometric and combinatorial) to determine graded (elongated) Betti numbers of Stanley-Reisner rings associated to linear codes in mathematics software SageMath.
Co-authors of published papers: Vaneet Aggarwal, Alain Couvreur, Sudhir R. Ghorpade, Trygve Johnsen, Avijit Panja, Tovohery H. Randrianarisoa, Nihan Tanisali, Hugues Verdure, Ilaria Zappatore
