Publications:[ arxiv ] Planes and Axioms submitted expository paper, [preprint] Circular planar electrical networks, Split systems, and Phylogenetic networks. SIAM Journal on Applied Algebra and Geometry, 7 (1), pp 49--76, 2023. [journal] [preprint] [arxiv] Galois connections for phylogenetic networks and their polytopes. (with Drew Scalzo) Journal of Algebraic Combinatorics, 54, pp 173--203, 2021. [ preprint ] [journal] [arxiv] Book Review: "Entropy and Diversity: The Axiomatic Approach" by Tom Leinster. European Mathematical Society Magazine, 121, pp. 53--54, 2021. [ journal ] [ review ] Phylogenetic Networks as Circuits with Resistance Distance. (with Drew Scalzo) Frontiers in Genetics, 11, pp 1--17, 2020. [journal] [arxiv] [ preprint ] Level-1 Phylogenetic Networks and their Balanced Minimum Evolution Polytopes. (with C. Durell) Journal of Mathematical Biology, 80, pp 1235--1263, 2020. [ preprint ] [ journal ] [arxiv] Algebraic structures on graph associahedra. (with M. Ronco) J. London Math. Soc., pp 1189--1231, 2022. [ preprint ] [journal] [arxiv] Split Network Polytopes and Network Spaces. (with S. Devadoss, C. Durell) Séminaire Lotharingien de Combinatoire, 82B, 2019. [ preprint ] [ proceedings ] [ extended abstract] [arxiv] Book review: Topics in hyperplane arrangements by M. Aguiar and S. Mahajan. Bulletin of the American Mathematical Society , 56 (2), pp 367--372, 2019. [journal] [ article ] Species substitution, graph suspension, and graded Hopf algebras of painted tree polytopes. (with L. Berry, M. Ronco, P. Showers) Algebraic and Geometric Topology, 19 (2), pp 1019--1078, 2019. [journal] [ preprint ] [ arXiv ] Optimization problems in phylogenetics: Polytopes, programming and interpretation. (with G. Hamerlinck, W. Sands) Algebraic and Combinatorial Computational Biology eds. R. Robeva, M. Macauley, pp 319--350, 2018. [ book chapter ] [ arXiv ] [ preprint ] Bulletin of Mathematical Biology ,Volume 79, Issue 5, pp 975--994, 2017. [ journal ] [ arXiv ] [ preprint ] Facets of the Balanced Minimal Evolution Polytope. (with L. Keefe, W. Sands) Journal of Mathematical Biology , 73(2), pp 447--468, 2016. [ journal ] [ arXiv ] [ preprint ] Stochastic safety radius on Neighbor-Joining method and Balanced Minimal Evolution on small trees (with J. Xi, J. Xie, and R. Yoshida). Proceedings of the 10th Workshop on Uncertainty Processing., pp 217--230, 2015. [ proceedings ] [ arXiv ] [ conference : program ] Convex Polytopes from Nested Posets. (with S. L. Devadoss, S. Reisdorf, P. Showers) European Journal of Combinatorics 43, pp 229--248, 2015. [ journal ] [ arXiv ] [ preprint ] Dear NSA: Long-Term Security Depends on Freedom. Notices of the American Math Society, p7, Jan. 2014. [ journal ] [ preprint ] [ G+] In-depth discussion at the n-cafe, especially here. Recursive bijections for Catalan objects. (with M. Kafashan, M. Maleki and M. Strayer) Journal of Integer Sequences, 16, Article 13.5.3, pp 1-20, 2013. [ journal ] [ arXiv ] [ preprint ] Cofree compositions of coalgebras. (with A. Lauve & F. Sottile) Annals of Combinatorics, 17(1), pp 105--130, 2013. [ journal ] [ arXiv ] [ preprint ] When does compromise prevent more pollution? (with C. Clemons, J. Cossey, M. Ferrara, T. Norfolk, G. Obeng, D. Ricciardi, G. Young) Notices of the A.M.S, 59(9), pp 1223--1234, 2012. [ journal ] [ arXiv (soon) ] [ preprint ] Extending the Tamari lattice to some compositions of species. Associahedra, Tamari Lattices and Related Structures: Tamari Memorial Festschrift., Progress in Mathematics, Vol. 299, pp 187--210, F. Müller-Hoissen, J. Pallo, J. Marcel, J. Stasheff (Eds.), 2012. [ book ] [ arXiv ] [ preprint ] [ contents ] Cofree compositions of coalgebras (extended abstract). (with A. Lauve & F. Sottile) DMTCS Proceedings, FPSAC 23, Reykjavik, Iceland. pp 363--374, 2011. [ journal ] [ arXiv ] [ preprint ] Pseudograph associahedra. (with M. Carr & S. Devadoss) Journal of Combinatorial Theory, Series A 118(7), pp 2035--2055, 2011. [ journal ] [ arXiv ] [ preprint ] Hopf structures on the multiplihedra. (with A. Lauve & F. Sottile) SIAM Journal on Discrete Mathematics, 24(4), pp 1250--1271, 2010. [ journal ] [ arXiv ] [ preprint ] Geometric combinatorial algebras: cyclohedron and simplex. (with D. Springfield) Journal of Algebraic Combinatorics, 32, pp 597--627, 2010. [ journal ] [ arXiv ] [ preprint ] New Hopf structures on binary trees. (with A. Lauve & F. Sottile) DMTCS Proceedings,21st Formal Power Series and Algebraic Combinatorics (Hagenberg, Austria), pp 411-420 , 2009. [ journal ] [ arXiv ] [ preprint ] Marked tubes and the graph multiplihedron. (with S.L. Devadoss) Algebraic and Geometric Topology, 8(4), pp 2081--2108, 2008. [ arXiv ] [ journal ] Convex Hull Realizations of the Multiplihedra Topology and its Applications, 156, pp 326--347, 2008. [ arXiv ] [ journal ] Quotients of the multiplihedron as categorified associahedra. Homotopy, Homology and Applications, vol. 10(2), pp 227--256, 2008. [ arXiv ] [ journal ] Operads in iterated monoidal categories (with J. Siehler, E. Seth Sowers) Journal of Homotopy and Related Structures, 2, pp 1--43, 2007. [ arXiv ] [ journal ] Erratum 1. [ journal ] [ copy ] Erratum 2. [ Erratum 2 ] Classification of braids which give rise to interchange (with F. Humes) Algebraic and Geometric Topology, 7, pp 1233--1274, 2007. [ arXiv ] [ journal ] Vertically iterated classical enrichment Theory and Applications of Categories, 12, pp 299--325, 2004. [ arXiv ] [ journal ] Enrichment over iterated monoidal categories Algebraic and Geometric Topology, 4, pp 95--119, 2004. [ arXiv ] [ journal ] top
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