Publications

Google Scholar · Research Gate

Preprints

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

Published works

Families of Markov Chains with compatible symmetric-group actions
with G. White. To appear, SIAM Journal on Applied Algebra and Geometry. arXiv
Excessive symmetry can preclude cutoff
with G. White. Linear Algebra and its Applications, 699 (2024): 277-294. arXiv
Robertson's conjecture and universal finite generation in the homology of graph braid groups
with B. Knudsen. Sel. Math. New Ser., 30.5 (2024): 82. arXiv
Equivariant log concavity and representation stability
with J. Matherne, D. Miyata, and N. Proudfoot. Int. Math. Res. Not. IMRN, 2023.5 (2023): 3885-3906. arXiv
Robertson's Conjecture in Algebraic Topology
with B. Knudsen, Seminaire Lotharingien de Combinatoire, 89B.49 (2023). PDF
Spanning subspace configurations and representation stability
with B. Pawlowski and B. Rhoades. Electronic Journal of Combinatorics, 30.1 (2023). arXiv
The graph minor theorem in topological combinatorics
with D. Miyata. Advances in Mathematics, 430 (2023). arXiv
The Graph Minor Theorem meets algebra
Notices of the AMS, September 2022. Preprint
A model for random braiding in graph configuration spaces
with D. Levin and B. Young. Int. Math. Res. Not. IMRN, 2022.7 (2022): 5564-5600. arXiv
The contraction category of graphs
with N. Proudfoot. Representation Theory, 26, no. 23 (2022): 673-697. arXiv
Stability phenomena for resonance arrangements
with N. Proudfoot. Proc. Amer. Math. Soc., Series B, 8.18 (2021): 219-223. arXiv
Hilbert series in the category of trees with contractions
Math. Z., 298 (2021): 1831-1852. arXiv
Local cohomology and the multigraded regularity of FI^m-modules
with L. Li. Journal of Commutative Algebra, 13.2 (2021): 235-252. arXiv
Spanning Configurations and Matroidal Representation Stability
with B. Pawlowski and B. Rhoades. Seminaire Lotharingien de Combinatoire, 84B.57 (2020). PDF
An application of the theory of FI-algebras to graph configuration spaces
Math. Z., 294 (1-2) (2020): 1-15. arXiv
FI-sets with relations
with D. Speyer and G. White. Algebraic Combinatorics, 3(5) (2020): 1079-1098. arXiv
Functorial invariants of trees and their cones
with N. Proudfoot. Sel. Math. New Ser., 25(4), 62 (2019). arXiv
Families of nested graphs with compatible symmetric-group actions
with G. White. Sel. Math. New Ser., 25.5 (2019): 70. arXiv
Configuration spaces of graphs with certain permitted collisions
Discrete and Computational Geometry, 62 (2019): 912-944. arXiv
Stability phenomena in the homology of tree braid groups
Algebraic & Geometric Topology, 18 (2018): 2305-2337. 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
Depth and the local cohomology of FI_G-modules
with L. Li. Advances in Mathematics, 329 (2018): 704-741. arXiv
Homological invariants of FI-modules and FI_G-modules
Journal of Algebra, 502 (2018): 163-195. arXiv
On the degree-wise coherence of FI_G-modules
New York Journal of Mathematics, 23 (2017): 873-896. arXiv
Generalized representation stability and FI_d-modules
Proc. Amer. Math. Soc., 145 (2017): 4647-4660. 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, 31.3 (2013): 435-459.
The Alexander and Jones Polynomials Through Representations of Rook Algebras
with S. Bigelow and R. Yi. The Journal of Knot Theory and its Ramifications, 21.12 (2012). arXiv