  I prove the existence of small time heat expansion for the Laplace operator
on an analytic hypersurface with an isolated singularity. First we obtain a
local parametrization of the hypersurface near the singularity. We introduce
the notion of quasihomogeneous tangent cone. Then perturb the parametrization
of the cone employing a Newton scheme and obtain a parametrization with
functions of specific form. These allow us to obtain local models for the
Laplace operator near the singularity. These are operators with irregular
singularities. We derive the estimates required by singular asymptotics.

Analysis of PDEs;Differential Geometry