In 2019, MSRI-UP focused upon the application of combinatorial arguments and techniques to enumerate, examine, and investigate the existence of discrete mathematical structures with certain properties. The areas of interest for these applications encompass a wide range of mathematical fields and will include algebra, number theory, and graph theory, through weight multiplicity computations, the study of vector partition functions, and graph domination problems, respectively. The research program was led by Dr. Pamela E. Harris, Assistant Professor of Mathematics at Williams College.

Students who have had a linear algebra course and a course in which they have had to write proofs were eligible to apply. Familiarity with programming will be helpful.

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