Jonathan David Hauenstein

Smooth Points on Semi-algebraic Sets

ACM COMMUNICATIONS IN COMPUTER ALGEBRA, 54(3), 105–108.

Computing complex and real tropical curves using monodromy

JOURNAL OF PURE AND APPLIED ALGEBRA, 223(12), 5232–5250.

A Note on Global Newton Iteration Over Archimedean and Non-Archimedean Fields

In Computer Algebra in Scientific Computing (Vol. 8660, pp. 202–217).

A bootstrapping approach for computing multiple solutions of differential equations

Journal of Computational and Applied Mathematics, 258, 181–190.

Certification and the potential energy landscape

Journal of Chemical Physics, 140(22).

Comparison of probabilistic algorithms for analyzing the components of an affine algebraic variety

Applied Mathematics and Computation, 231, 619–633.

A homotopy method based on WENO schemes for solving steady state problems of hyperbolic conservation laws

Journal of Computational Physics, 250, 332–346.

Cell decomposition of almost smooth real algebraic surfaces

Numerical Algorithms, 63(4), 645–678.

Communication: Certifying the potential energy landscape

Journal of Chemical Physics, 138(17).

Equations for lower bounds on border rank

Experimental Mathematics, 22(4), 372–383.

Isosingular sets and deflation

Foundations of Computational Mathematics (New York, N.Y.), 13(3), 371–403.

Membership tests for images of algebraic sets by linear projections

Applied Mathematics and Computation, 219(12), 6809–6818.

Numerical elimination and moduli space of vacua

Journal of High Energy Physics, (9).

Numerically Computing Real Points on Algebraic Sets

Acta Applicandae Mathematicae, 125(1), 105–119.

Recovering exact results from inexact numerical data in algebraic geometry

Experimental Mathematics, 22(1), 38–50.