Finding equilibria of the finite size Kuramoto model amounts to solving a nonlinear system of equations, which is an important yet challenging problem. We translate this into an algebraic geometryâ€¦ (More)

In 2013, Abo and Wan studied Waringâ€™s problem for systems of skew-symmetric forms and identified several defective systems. The cases of particular interest occur when a certain secant variety of aâ€¦ (More)

Let X âŠ‚ P be a generically reduced projective scheme. A fundamental goal in computational algebraic geometry is to compute information about X even when defining equations for X are not known. We useâ€¦ (More)

When xing a covariant gauge, most popularly the Landau gauge, on the lattice one encounters the Neuberger 0/0 problem which prevents one from formulating a Becchi Rouet Stora Tyutin symmetry on theâ€¦ (More)

In numerical algebraic geometry, a witness point set W is a key object for performing numerical computations on a projective scheme X of pure dimension d > 0 defined over C. If X is arithmeticallyâ€¦ (More)