Algebraic curves and polynomial systems form a cornerstone of modern computational and theoretical mathematics. These structures are defined by polynomial equations and exhibit rich geometric and ...

The field of polynomial systems occupies a central role in computational mathematics, where the intricate interplay between algebra, geometry, and computational complexity is evident. Research in this ...

Three researchers from Bristol University are seeking to develop methods for analysing the distribution of integer solutions to polynomial equations. How do you know when a polynomial equation has ...

Many problems from the sciences can be modelled as the problem of computing the solutions to a system of polynomial equations. Starting from an example application, we will discuss basic strategies ...

Classically there is a clear distinction between theoretical and applied mathematics in the classification of different fields in the mathematical sciences. Bernd Sturmfels at the Max Planck Institute ...

Equations, like numbers, cannot always be split into simpler elements. Researchers have now proved that such “prime” equations become ubiquitous as equations grow larger. Prime numbers get all the ...

Vol. 58, No. 4, Part 2 of 2. Special Issue on Computational Economics (July-August 2010), pp. 1037-1050 (14 pages) Multiplicity of equilibria is a prevalent problem in many economic models. Often ...