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The virtual Euler characteristic for binary matroids
Madeline Brandt, Juliette Bruce, Daniel Corey
Inspired by Kontsevich's graphic orbifold Euler characteristic we define a virtual Euler characteristic for any finite set of isomorphism classes of matroids of rank . Our main…
Tropical flag varieties
Madeline Brandt, Christopher Eur, Leon Zhang
Flag matroids are combinatorial abstractions of flags of linear subspaces, just as matroids are of linear subspaces. We introduce the flag Dressian as a tropical analogue of the pa…
Matroids and their Dressians
Madeline Brandt, David E Speyer
We study Dressians of matroids using the initial matroids of Dress and Wenzel. These correspond to cells in regular matroid subdivisions of matroid polytopes. An efficient algorith…
The slack realization space of a matroid
Madeline Brandt, Amy Wiebe
We introduce a new model for the realization space of a matroid, which is obtained from a variety defined by a saturated determinantal ideal, called the slack ideal, coming from th…
Quadratic Packing Polynomials on Sectors of
Madeline Brandt
A polynomial on a region in the plane is called a packing polynomial if the restriction of to yields a bijection to . In this…