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This course offers an introduction to tropical geometry, a young subject that has already established deep connections between itself and pure and applied mathematics. We will study a rich variety of objects arising from polynomials over the min-plus semiring, where addition is defined as taking a minimum, and multiplication is defined as usual addition. We will learn how these polyhedral objects connect to other areas of mathematics like algebraic geometry, and how they can be applied to solve problems in scheduling theory, phylogenetics, and other diverse fields.
Format: lecture; Hybrid; if possible we will have classes in person, with remote students attending via Zoom.
Grading: no pass/fail option,
no fifth course option
participation, problem sets, quizzes, exams, and a final project
MATH 355 or permission of instructor
Senior math majors
This course builds quantitative skills