Papers and Preprints


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  • Homology of matching complexes and representations of symmetric groups, with M. Bate, B. Everitt, and S. Ford, submitted, arXiv.

  • Representation stability in the intrinsic hyperplane arrangements associated to irreducible representations of the symmetric-groups, with I. Flynn and B. Young, submitted, arXiv.

  • Independence numbers in certain families of highly symmetric graphs, with D. Guan, submitted, arXiv.

  • The weak categorical quiver minor theorem and its applications: matchings, multipaths, and magnitude cohomology, with L. Caputi and C. Collari, submitted, arXiv.

  • Robertson's conjecture and universal finite generation in the homology of graph braid groups, with B. Knudsen, to appear, Sel. Math. New Ser., arXiv.

  • Robertson's Conjecture in Algebraic Topology, Seminaire Lotharingien de Combinatoire, 89B.49, link

  • The Graph Minor Theorem meets algebra, Notices of the AMS, September 2022 Preprint.

  • Excessive symmetry can preclude cutoff, with G. White, to Appear, Linear algebra and its applications, arXiv.

  • Equivariant log concavity and representation stability, with J. Matherne, D. Miyata, and N. Proudfoot, Int. Math. Res. Not. IMRN, arXiv.

  • The graph minor theorem in topological combinatorics, with D. Miyata, Advances in Mathematics, 430 (2023) arXiv.

  • Stability phenomena for resonance arrangements, with N. Proudfoot, Proceedings of the American Mathematical Society, Series B, 8.18 (2021): 219-223, arXiv.

  • Spanning Configurations and Matroidal Representation Stability, with B. Pawlowski and B. Rhoades, Seminaire Lotharingien de Combinatoire, 84B.57, link.

  • Hilbert series in the category of trees with contractions , Math. Z., (2021): 1-22 arXiv.

  • A model for random braiding in graph configuration spaces, with D. Levin and B. Young, to appear, Int. Math. Res. Not. IMRN, arXiv.

  • The contraction category of graphs, with N. Proudfoot, Representation Theory, 26, no. 23 (2022): 673-697, arXiv.

  • Spanning subspace configurations and representation stability, with B. Pawlowski and B. Rhoades, Electronic Journal of Combinatorics, arXiv.

  • Functorial invariants of trees and their cones, with N. Proudfoot, Sel. Math. New Ser., 25(4), 62, arXiv.

  • Families of Markov Chains with compatible symmetric-group actions, with G. White, submitted, arXiv.

  • An application of the theory of FI-algebras to graph configuration spaces, Math. Z., 294 (1-2), 1-15, arXiv.

  • FI-sets with relations, with D. Speyer and G. White, Algebraic Combinatorics, 3(5), 1079-1098, arXiv.

  • Local cohomology and the multigraded regularity of FIm-modules, with L. Li, Journal of Commutative Algebra, 13.2 (2021): 235-252 arXiv.

  • Families of nested graphs with compatible symmetric-group actions, with G. White, Sel. Math. New Ser., 25 (5), 70, arXiv.

  • Asymptotic behaviors in the homology of symmetric group and finite general linear group quandles, Journal of Pure and Applied Algebra 222 (2018), 3858-3876, arXiv.

  • Configuration spaces of graphs with certain permitted collisions, Discrete and Computational Geometry, 62 (4), 912-944, arXiv.

  • Stability phenomena in the homology of tree braid groups, Algebraic & Geometric Topology 18 (2018), 2305-2337, arXiv.

  • On the degree-wise coherence of FIG-modules, New York Journal of Mathematics 23 (2017), 873-896, arXiv.

  • Generalized representation stability and FId-modules, Proc. Amer. Math. Soc. 145 (2017), 4647-4660, arXiv.

  • Depth and the local cohomology of FIG-modules, with L. Li, Advances in Mathematics 329 (2018), 704-741, arXiv.

  • Homological invariants of FI-modules and FIG-modules, Journal of Algebra 502 (2018), 163-195, arXiv.

  • The Alexander and Jones Polynomials Through Representations of Rook Algebras, with S. Bigelow and R. Yi, The Journal Of Knot Theory and its Ramifications 21 no. 12 (2012), 18pp, arXiv.

  • Three Selmer Groups For Elliptic Curves With 3-Torsion, with T. Feng, K. James, C. Kim, C. Trentacoste and H. Xue, The Ramanujan Journal 31, Issue 3 (2013), Page 435-459.