arXiv:2610.35922v1 Announce Type: new Abstract: In this research article, we make an in-depth investigation of the computations for Thom Polynomials for $\mathcal{A}$-singularities of parametric curves germs in the plane and space cases using the framework established by Ohmoto and the Restriction Method introduced by Rim\'anyi, and we also propose a geometric way for such computations using degeneracy loci Chern classes formulas proven by Fulton, which seems a promising way to generalize the Thom Polynomial expression for the stabilization of such singularities in $\mathbb{C}^N$, depending exclusively on $N$ as a parameter.
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