LECTURERS and MACAULAY2 COORDINATORS
Adam Boocher (University of San Diego)
Sonja Mapes (University of Notre Dame)
Claudiu Raicu (University of Notre Dame)

TEACHING ASSISTANTS
Kuei-Nuan Lin (Penn State Greater Allegheny)
Youngsu Kim (University of Arkansas)

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The undergraduate workshop will combine three lecture series with problem sessions and a colloquium aimed at undergraduate students. The topics for the lecture series will be:

Homological Algebra (Adam Boocher)
Monomial Ideals (Sonja Mapes)
Determinantal Ideals (Claudiu Raicu)

The goal is to introduce the students to the basic aspects of homological algebra with a focus on examples that link the theory to a number of other fields of mathematics such as Algebraic Geometry, Combinatorics, or Algebraic Topology. The hope is that the exposure to these topics, which is beyond what would be taught in a typical undergraduate algebra course, will provide an entry point to a range of exciting topics that the students could pursue in graduate school. The themes we have chosen complement each other well, and touch upon areas rich with open problems of great current interest. In addition each course will be complemented and supported by problem sessions and by a Macaulay2 workshop.

Suggested prerequisites: Students should have completed an undergraduate abstract algebra course, including basics of ring theory.