text: Differential forms on a manifold named for this scientist form a Gerstenhaber algebra.
full_question: Differential forms on a manifold named for this scientist form a Gerstenhaber algebra. This scientist's namesake algebra is an associative algebra over a field with a bilinear operation which is antisymmetric and obeys the Leibniz rule and the Jacobi identity. This scientist names an operation which is the inverse of a similar operation named for Lagrange, is invariant under canonical transformations, and is used to determine the time evolution of phase space functions according to Liouville's theorem. Auxetic materials have a negative value for a quantity named for this man which is defined as minus the ratio of transverse strain to axial strain. This man names an inhomogeneous equation whose uniqueness theorem can be used to develop the method of images. For 10 points, name this scientist who names an inhomogeneous version of the Laplace equation which states that the Laplacian of the electric potential equals the charge density divided by epsilon-naught.
first_sentence: Differential forms on a manifold named for this scientist form a Gerstenhaber algebra.
raw_answer: Simeon Denis Poisson