Algorithms Polynomial equation system; arithmetic circuit; shape (or primitive element) lemma; Newton-Hensel iteration Polynomials Newton-Hensel lifting Problem solving Puiseux expansions of space curves Theorem proving Algebra Algebraic complexity theory Algorithmic elimination theory Codes (symbols) Complexity Computation tree Computational complexity Computational geometry Computer programming Conformal mapping Cryptography Deformation Efficient polynomial equation solving Finite element method Finite fields Geometric elimination procedures Geometric solutions Geometry Graph theory Homotopy algorithms Iterative methods Malicious host problem Mathematical models