Research

Ordered by arXiv upload date, following my CV. ^* Undergraduate coauthor; ^† graduate student coauthor at the time of writing.

31. Coxeter and Schubert combinatorics of μ–involutions

    With Jack Chen-An Chou^†.

    Submitted

    arXiv: Coxeter and Schubert combinatorics of μ–involutions

30. Odd shifted parking functions

    With Jesse Kim.

    2026 · Advances in Mathematics Volume 494, Article 110941 (21 pages).

    arXiv: Odd shifted parking functions

29. Moments of permutations by cycle type

    With Brendon Rhoades.

    To appear, Forum of Mathematics Sigma

    arXiv: Moments of permutations by cycle type

28. Partial Permutations and Character Evaluations

    With Brendon Rhoades.

    To appear, Combinatorial Theory

    arXiv: Partial Permutations and Character Evaluations

27. Type C K–Stanley symmetric functions and Kráskiewicz–Hecke insertion

    With Joshua Arroyo^†, Graham Hawkes and Jianping Pan.

    Submitted

    Séminaire Lotharingien de Combinatoire, 93B.89 (2025), 12 pp. (peer reviewed extended abstract)

    arXiv: Type C K–Stanley symmetric functions and Kráskiewicz–Hecke insertion

26. Tableau formula for vexillary double Edelman–Greene coefficients

    With Adam Gregory^† and Tianyi Yu.

    2026 · Selecta Mathematica 32 (4), 82

    arXiv: Tableau formula for vexillary double Edelman–Greene coefficients

25. Dual Schubert polynomials via a Cauchy identity

    Zachary Hamaker.

    Submitted

    arXiv: Dual Schubert polynomials via a Cauchy identity

24. Lenart's bijection via bumpless pipe dreams

    With A. Gregory^†.

    2022 · Electronic Journal of Combinatorics Volume 30, Issue 1 P1.24 pp. 1–18

    arXiv: Lenart's bijection via bumpless pipe dreams

23. Characters of local and regular permutation statistics

    With B. Rhoades.

    Not intended for publication

    arXiv: Characters of local and regular permutation statistics

22. Three coloring via triangle counting

    With V. Vatter.

    2023 · Australasian Journal of Combinatorics, to appear

    arXiv: Three coloring via triangle counting

21. Involutions under Bruhat order and labeled Motzkin Paths

    With M. Coopman^†.

    2022 · European Journal of Combinatorics, Volume 103, article 103513 pp. 1–7

    arXiv: Involutions under Bruhat order and labeled Motzkin Paths

20. Bijecting hidden symmetries for skew staircase shapes

    With A. Morales, I. Pak, L. Serrano and N. Williams.

    2023 · Algebraic Combinatorics, Volume 6, no. 4, pp. 1095-1118.

    arXiv: Bijecting hidden symmetries for skew staircase shapes

19. On pattern avoidance in matchings and involutions

    With J. Fang^* and J. Troyka.

    2022 · Electronic Journal of Combinatorics (2022) Volume 29, Issue 1 P1.39 pp. 1–22

    arXiv: On pattern avoidance in matchings and involutions

18. Gröbner geometry of Schubert polynomials through ice

    With O. Pechenik and A. Weigandt.

    2022 · Advances in Mathematics, Volume 398, article 108228

    Seminaire Lotharingien de Combinatoire 85B, FPSAC 2021 #5 pp. 1–12 (peer reviewed extended abstract)

    arXiv: Gröbner geometry of Schubert polynomials through ice

17. Involution pipe dreams

    With E. Marberg and B. Pawlowski.

    2022 · Canadian Journal of Mathematics, Volume 74, Issue 5 pp. 1310–1346

    Seminaire Lotharingien de Combinatoire 82B, FPSAC 2019 12 pp. (peer reviewed extended abstract)

    arXiv: Involution pipe dreams

16. Wronskian Appell polynomials and symmetric functions

    With N. Bonneux^†, J. Stembridge and M. Stevens.

    2019 · Advances in Applied Mathematics, Volume 111, Article 101932, pp. 1–18

    arXiv: Wronskian Appell polynomials and symmetric functions

15. Derivatives of Schubert polynomials and proof of a conjecture of Stanley

    With O. Pechenik, D. Speyer and A. Weigandt.

    2020 · Algebraic Combinatorics (2020) Volume 3, Issue 2 pp. 301–307

    arXiv: Derivatives of Schubert polynomials and proof of a conjecture of Stanley

14. Pattern avoidance and quasisymmetric functions

    With B. Pawlowski and B. Sagan.

    2020 · Algebraic Combinatorics (2020) Volume 3, Issue 2 pp. 365–388

    arXiv: Pattern avoidance and quasisymmetric functions

13. Weak order and descents for monotone triangles

    With V. Reiner.

    2020 · European Journal of Combinatorics (2020) Volume 86, article 103083, pp. 1–21.

    arXiv: Weak order and descents for monotone triangles

12. Atoms for signed permutations

    With E. Marberg.

    2021 · European Journal of Combinatorics (2021) Volume 94, article 103288, pp. 1–40.

    arXiv: Atoms for signed permutations

11. Involution Schubert-Coxeter combinatorics (peer reviewed extended abstract)

    With E. Marberg and B. Pawlowski.

    2017 · Séminaire Lotharingien de Combinatoire 78B, FPSAC 2017, pp. 1–12. summarizes 4, 6, 8, 9 and 10

10. Fixed-point-free involutions and Schur P-positivity

    With E. Marberg and B. Pawlowski.

    2020 · Journal of Combinatorics, Volume 11, No. 1, pp. 65–110

    arXiv: Fixed-point-free involutions and Schur P-positivity

9. Schur P-positivity and involution Stanley symmetric functions

   With E. Marberg and B. Pawlowski.

   2019 · International Mathematics Research Notices Volume 2019, Issue 17, pp. 5389–5440

   arXiv: Schur P-positivity and involution Stanley symmetric functions

8. Transition formulas for involution Schubert polynomials

   With E. Marberg and B. Pawlowski.

   2018 · Selecta Mathematica, Volume 24, Issue 4, pp. 2991–3025

   arXiv: Transition formulas for involution Schubert polynomials

7. Doppelgängers: bijections of plane partitions

   With R. Patrias^†, O. Pechenik and N. Williams.

   2020 · International Mathematics Research Notices, Volume 2020, Issue 2 pp. 487–540

   arXiv: Doppelgängers: bijections of plane partitions

6. Involution words II: braid relations and atomic structures

   With E. Marberg and B. Pawlowski.

   2016 · Journal of Algebraic Combinatorics, Volume 44 , Number 4 pp. 1–43.

   arXiv: Involution words II: braid relations and atomic structures

5. Shifted Hecke insertion and the K-theory of OG(n,2n+1)

   With A. Keilthy^*, R. Patrias^†, L. Webster^*, Y. Zhang^* and S. Zhou^*.

   2017 · Journal of Combinatorial Theory Series A, Volume 151, pp. 207–240

   Séminaire Lotharingien de Combinatoire 78B, FPSAC 2017, pp. 1–12 (peer reviewed extended abstract)

   arXiv: Shifted Hecke insertion and the K-theory of OG(n,2n+1)

4. Involution words: counting problems and connections to Schubert calculus for symmetric orbit closures

   With E. Marberg and B. Pawlowski.

   2018 · Journal of Combinatorial Theory Series A, Volume 160, pp. 217–260

   arXiv: Involution words: counting problems and connections to Schubert calculus for symmetric orbit closures

3. Subwords and plane partitions (peer reviewed extended abstract)

   With N. Williams.

   2015 · DMTCS Proceedings, FPSAC 2015, pp. 241–252

2. Coxeter-Knuth graphs and a signed Little Map for the hyperoctahedral group

   With S. Billey, A. Roberts^† and B. Young.

   2014 · Electronic Journal of Combinatorics, Volume 21, Issue 4, P4.6 pp. 1–39

   arXiv: Coxeter-Knuth graphs and a signed Little Map for the hyperoctahedral group

1. Relating Edelman-Greene insertion to the Little Map

   With B. Young.

   2014 · Journal of Algebraic Combinatorics, Volume 40, Issue 3, pp 693-710.

   DMTCS Proceedings, FPSAC 2013, pp. 229-240 (peer reviewed extended abstract)

   arXiv: Relating Edelman-Greene insertion to the Little Map