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Colin Crowley '18, Mathematics

A module theoretic approach to matroids

This summer I worked with Joshua Mundinger and Noah Giansiracusa on a research project exploring the relationship between two different areas of math (Tropical Geometry and Matroid Theory). Building on the work that Professor Giansiracusa had done recently, we developed new spatial perspectives on results in one area (Matroid Theory), and came up with proofs of new results in the other (Tropical Geometry). We produced a paper, which we are in the process of submitting for publication to the journal Algebraic Combinatorics.