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\begincenter{Math 622: Numerical Algebraic Geometry\\Instructor: Andrew Sommese (631-6498),
       sommese@nd.edu\\Syllabus of Math 622}\endcenter








The course covered the following topics and material around the topics.
\begin{enumerate}
\item Basic correspondence, including the Nullstellenzatz, between affine
and projective algebraic sets and ideals;
\item the irreducible/primary decomposition;
\item local theory of algebraic sets;
\item sheaf cohomology and coherent algebraic sets; projection formula;
\item basic examples such as ruled surfaces and their very ample line bundles;
\item numerical solution of polynomial systems; and
\item numerical manipulation of irreducible algebraic sets.
\end{enumerate}

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