À propos
Unfortunately, this is not the page of a famous namesake (for those who might have lost their way), but of a PhD student in Computer Science. This page is dedicated to my various duties as a PhD student.
The subject of my thesis:
October 2023: We are looking for an algorithm that computes the relation
ideal of C-recursive, multi-indiced sequence. The algorithm has to compute a
reduced Gröbner basis for the LEX ordering with quadratic complexity. In
the future, we would like to extend the study of sparse FGLM and give a
refined analysis on the non shape case. In particular for the 2-thick
case, this study has to focus on the sparsity of the second
multiplication matrix. More later, we hope to adapt our algorithm in the
case of P-recursive sequence and on the changing order of Gröbner basis in skew polynomial ring.
List of the differents internships I made in PolSys Team:
March - August 2023: Improvement of the constant in the complexity analysis of the
Extended Greatest Common Divisor algorithm (intership report).
May - June 2022: Implementation of subroutines (Basis, M-Basis and PM-basis) in C
with Flint library. The code has been integrate to the library
PML.
Topics of interest
- Recurrent linear sequences with constant and/or polynomial coefficients;
- Gröbner's bases computation;
- Padé and Hermite-Padé approximants;
- Structured matrices;
My background
How did I end up here 🤷? The beginnings of an answer in my CV.