Algebraic matroids in action
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In recent years, surprising connections between applications including algebraic statistics and the rigidity of bar-and-joint frameworks have sparked a resurgence of interest in various notions of algebraic independence, which may be formalized by the notion of an algebraic matroid. In each of these settings the fundamental problem is to determine the extent to which certain unknowns depend algebraically on given data. We give an introduction to the theory of algebraic matroids motivated by examples that are accessible with an undergraduate background in mathematics and that illustrate the breadth of their potential.
Rosen , Z , Sidman , J & Theran , L 2020 , ' Algebraic matroids in action ' , The American Mathematical Monthly , vol. Latest Articles . https://doi.org/10.1080/00029890.2020.1689781
The American Mathematical Monthly
Copyright © 2020 The Mathematical Association of America. This work has been made available online in accordance with publisher policies or with permission. Permission for further reuse of this content should be sought from the publisher or the rights holder. This is the author created accepted manuscript following peer review and may differ slightly from the final published version. The final published version of this work is available at https://doi.org/10.1080/00029890.2020.1689781
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