Geodesic
Quasisymmetric functions from combinatorial Hopf monoids and Ehrhart Theory
Discrete mathematics & theoretical computer science, DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016), DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016) (2020).

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We investigate quasisymmetric functions coming from combinatorial Hopf monoids. We show that these invariants arise naturally in Ehrhart theory, and that some of their specializations are Hilbert functions for relative simplicial complexes. This class of complexes, called forbidden composition complexes, also forms a Hopf monoid, thus demonstrating a link between Hopf algebras, Ehrhart theory, and commutative algebra. We also study various specializations of quasisymmetric functions. 
@article{DMTCS_2020_special_379_a16,
     author = {White, Jacob},
     title = {Quasisymmetric functions from combinatorial {Hopf} monoids and {Ehrhart} {Theory}},
     journal = {Discrete mathematics & theoretical computer science},
     publisher = {mathdoc},
     volume = {DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016)},
     year = {2020},
     doi = {10.46298/dmtcs.6334},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.6334/}
}
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White, Jacob. Quasisymmetric functions from combinatorial Hopf monoids and Ehrhart Theory. Discrete mathematics & theoretical computer science, DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016), DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016) (2020). doi : 10.46298/dmtcs.6334. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.6334/

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