Research Interests(s)

I study combinatorial algebraic geometry. Algebraic geometry investigates shapes, which may be quite complicated. But, many aspects of their geometry can be described by discrete data and investigated computationally. I work on developing computational tools to study the geometry of these shapes.

Publications

2023 On the Top-Weight Rational Cohomology of Ag
Madeline Brandt, Juliette Bruce, Melody Chan, Margarida Melo, Gwyneth Moreland, and Corey
Wolfe. Geometry & Topology, to appear.

2023 Towards Tropically Counting Binodal Surfaces.
Madeline Brandt and Alheydis Geiger. La Matematica, 2 (1), 85-135, 2023.

2023 Voronoi Cells in Metric Algebraic Geometry of Plane Curves.
Madeline Brandt and Madeleine Weinstein. Mathematica Scandinavica, to appear.

2022 Divisorial Motivic Zeta Functions for Marked Stable Curves.
Madeline Brandt and Martin Ulirsch. Michigan Mathematical Journal, 71 (2), 271-282, 2022.

2022 Symmetric Powers of Algebraic and Tropical Curves: a non-Archimedean Perspective.
Madeline Brandt and Martin Ulirsch. Transactions of the American Mathematical Society, Series B 9 (20),
586-618, 2022.

2022 Computation of Dressians by Dimensional Reduction.
Madeline Brandt and David Speyer. Advances in Geometry, 22 (3), 409-420, 2022.

2021 Tropical Flag Varieties.
Madeline Brandt, Christopher Eur, and Leon Zhang. Advances in Mathematics, 384, 2021.

2020 A Tropical Count of Binodal Cubic Surfaces.
Madeline Brandt, Alheydis Geiger. Le Matematiche, Vol. LXXV Issue II, 611-633, 2020.

2020 Tropical Superelliptic Curves
Madeline Brandt, Paul Helminck. Advances in Geometry, 20(4), 527-551, 2020.
1 of 4

2019 The Slack Realization Space of a Matroid
Madeline Brandt, AmyWiebe. Algebraic Combinatorics, 2(4):663–681, 2019.

2019 Optimal Packings of Two to Four Equal Circles on Any Flat Torus
Madeline Brandt, William Dickinson, AnnaVictoria Ellsworth, Jennifer Kenkel, and Hanson Smith.
Discrete Mathematics, 342 (12), 111597, 2019.

2017 From Curves to Tropical Jacobians and Back
Madeline Brandt, Barbara Bolognese, Lynn Chua. Combinatorial Algebraic Geometry, 21-45, Fields Inst.
Commun. 80, Fields Inst. Res. Math. Sci., 2017.

2017 The Degree of SO(n)
Madeline Brandt, Juliette Bruce, Taylor Brysiewicz, Robert Krone, Elina Robeva. Combinatorial Algebraic
Geometry, 207-224, Fields Inst. Commun. 80, Fields Inst. Res. Math. Sci., 2017.