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Pure Math
Algebraic Geometry
Projective hypersurfaces in tropical scheme theory I: the Macaulay ideal
with Alex Fink and J. H. Giansiracusa.
Fibonacci, golden ratio, and vector bundles
Mathematics 9 no. 4 (2021).Chow quotients of Grassmannians by diagonal subtori
with Xian Wu. Proceedings of the Facets in Algebraic Geometry conference in honor of William Fulton's 80th birthday, to appear (2020).Equations for point configurations to lie on a rational normal curve
with Alessio Caminata, Han-Bom Moon, and Luca Schaffler. Advances in Mathematics 340 (2018), 653-683.Modular interpretation of a non-reductive Chow quotient
with Patricio Gallardo. Proceedings of the Edinburgh Mathematical Society 61 no. 2 (2018), 457-477.A simplicial approach to the effective cone of \bar{M}_{0,n}
with Brent Doran and Dave Jensen. International Mathematics Research Notices no. 2 (2017), 529-565.Projective linear configurations via non-reductive actions
with Brent Doran. Preprint on arXiv.The dual complex of \bar{M}_{0,n} via phylogenetics
Archiv der Mathematik 106 no. 6 (2016), 525-529.Factorization of point configurations, cyclic covers and conformal blocks
with Michele Bolognesi. Journal of the European Mathematical Society 17 (2015), 2453-2471.On Kapranov's description of \bar{M}_{0,n} as a Chow quotient
with W.D. Gillam. Turkish Journal of Mathematics 38 (2014), 625-648.GIT compactifications of M_{0,n} and flips
with Dave Jensen and Han-Bom Moon.Advances in Mathematics 248 (2013), 242-278.Conformal blocks and rational normal curves
Journal of Algebraic Geometry 22 (2013), 773-793.The cone of type A, level one conformal blocks divisors
with Angela Gibney. Advances in Mathematics 231 (2012), 798-814.GIT compactifications of M_{0,n} from conics
with Matthew Simpson. International Mathematics Research Notices no. 14 (2011), 3315-3334.Tropical Geometry/Matroids
The universal tropicalization and the Berkovich analytification
with J.H. Giansiracusa. Kybernetica 58 no.5 (2022), 790-815.Point configurations, phylogenetic trees, and dissimilarity vectors
with Alessio Caminata, Han-Bom Moon, and Luca Schaffler.Proceedings of the National Academy of Sciences (PNAS) 118 n. 12 (2021).Matroidal representations of groups
with Jacob Manaker. Advances in Mathematics 366 (2020).A module-theoretic approach to matroids
with Joshua Mundinger and Colin Crowley. Journal of Pure and Applied Algebra 224 no. 2 (2020), 894-916.A Grassmann algebra for matroids
with J.H. Giansiracusa.Manuscripta Mathematica 156 no. 1 (2018), 187-213.Equations of tropical varieties
with J.H. Giansiracusa.Duke Mathematics Journal 165 no. 18 (2016), 3379-3433.Miscellaneous
Experimental study of energy-minimizing point configurations on spheres
group project led by Henry Cohn. Experimental Mathematics 18 no. 3 (2009), 257-283.Applied/Interdisciplinary
Topological Data Analysis/Machine Learning
Persistent homology machine learning for fingerprint classification
with Bob Giansiracusa and Chul Moon. Proceedings of the 18th IEEE International Conference on Machine Learning and Applications (IEEE ICMLA 2019), Boca Raton, FL, USA, 2019, 1219-1226.Persistence terrace for topological inference of point cloud data
with Chul Moon and Nicole Lazar. Journal of Computational and Graphical Statistics 27 no. 3 (2018), 576-586.Math and Law
Branching on the bench: Quantifying division in the Supreme Court with trees
Constitutional Political Economy (2022), https://doi.org/10.1007/s10602-022-09360-2.An evolutionary view of the U.S. Supreme Court
Mathematical and Computational Applications 26 no 2 (2021), 1-31.Computational geometry and the U.S. Supreme Court
with Cameron Ricciardi. Mathematical Social Sciences 98 (2019), 1-9.Spatial analysis of U.S. Supreme Court 5-to-4 decisions
with Cameron Ricciardi. Preprint on arXiv.with Cameron Ricciardi. American Mathematical Monthly 125 no. 10 (2018), 867-877.Teaching the quandary of statistical jurisprudence: a review-essay on the book Math on Trial
Journal of Humanistic Mathematics 6 no. 2 (2016), 207-224.Miscellaneous
Predicting financial crises with tree leaves
with Chase Cicchetti. Submitted.The mathematics of misinformation
Notices of the American Mathematical Society, 69 no. 10 (2022), 1707-1715.Predicting friendships and other fun machine learning tasks with graphs
American Mathematical Society Feature Column.Trust your instincts when opportunity arises
Notices of the American Mathematical Society 68 no. 3 (2021), 372-375.From Poland to Petersburg: The Banach-Tarski paradox in Bely's modernist novel
with Anastasia Vasilyeva. Annals of Language and Literature 4 no. 3 (2020), 1-8.Mathematical symbolism in a Russian literary masterpiece
with Anastasia Vasilyeva. The Mathematical Intelligencer 40 no. 3 (2018), 2-11.When mathematical reasoning gets murky
The Phoenix (op-ed in Swarthmore student newspaper, response to John Fan).Finding, and sharing, mathematical beauty in the world
Wisaarkhu Special volume 1 topic 2 (2020).with P. Kishor and O. Seneviratne.Accepted in, but not presented at, ACMGIS 2009. arXiv.CS/1304.5755Google Sites
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