Publications

1. Shellability of Kohnert posets (with C. Kerr and N. Russoniello), Discrete Mathematics (2025).

2. On ranked and bounded Kohnert posets (with L. Colmenarejo, F. Huchins, and E. Phillips), Order (2025).

3. Periodicity and the index of integer partitions, INTEGERS (2023).

4. A matrix theory introduction to seaweed algebras and their index (with A. Cameron, V. Coll, and N. Russoniello), Expositiones Mathematicae (2023).

5. On toral posets and contact Lie algebras (with N. Russoniello), Journal of Geometry and Physics (2022). 

6. Contact Seaweeds (with V. Coll, N. Russoniello, and G. Salgado), Pacific Journal of Mathematics (2022).

7. The breadth of Lie poset algebras (with A. Cameron, V. Coll, and N. Russoniello), Linear and Multilinear Algebra (2022).

8. Contact Lie poset algebras (with V. Coll and N. Russoniello), The Electronic Journal of Combinatorics (2022).

9. The evolution of the spectrum of a Frobenius Lie algebra under deformation (with V. Coll and N. Russoniello), Communications in Algebra (2021).

10. The index and spectrum of Lie poset algebras of types B, C, and D (with V. Coll and N. Russoniello), The Electronic Journal of Combinatorics (2021).

11. Toral posets and the binary spectrum property (with  V. Coll), Journal of Algebraic Combinatorics (2021).

12. The index of Lie poset algebras (with V. Coll), Journal of Combinatorial Theory, Series A  (2021).

13. The index of nilpotent Lie poset algebras (with V. Coll and N. Russoniello), Linear Algebra and its Applications (2020).

14. Statistics on integer partitions arising from seaweed algebras (with V. Coll and A. Mayers), The Electronic Journal of Combinatorics (2020).

15. How to build a graph in n Days: some variants on graph assembly (with A. Dougherty and R. Short), Discrete Applied Mathematics (2020).

16. Frobenius seaweed Lie algebras III (with V. Coll, A. Dougherty, and M. Hyatt), Journal of Generalized Lie Theory and Applications (2017).

Preprints

1. Dimensions of toggleability spaces (with B. Adenbaum and S. Daugherty)

2. Ghost Kohnert posets (with K. Hanser).

3. On a combinatorial puzzle arising from the theory of Lascoux polynomials (with K. Hanser).

4. The support of Kostant's weight multiplicity formula is an order ideal in the weak Bruhat order (with P. Anderson, et al.)

5. Contact Lie poset algebras of types B, C, and D (with N. Russoniello).

6. Seaweed algebras and the unimodal spectrum property (with N. Russoniello).

Manuscripts

1. On the monoidal relations defining the quantum k-Bruhat order (with L. Colmenarejo).

2. A poset theory of rook placements (with K. Barrese and J. Matherne)