Research papers

Links below are to journal versions, but all my papers are also on the arXiv.

• Dynamical algebraic combinatorics

• Symmetry of Narayana numbers and rowvacuation of root posets, with Colin Defant. Forum of Mathematics, Sigma, 9, 2021.
• The birational Lalanne-Kreweras involution, with Michael Joseph. Algebraic Combinatorics, 5(2), 2022.
• Order polynomial product formulas and poset dynamics. Preprint, 2020, arXiv:2006.01568. For the AMS volume on Open Problems in Algebraic Combinatorics, to accompany the 2022 conference at UMN.
• Promotion of Kreweras words, with Martin Rubey. Selecta Mathematica (N.S.), 28(1), 2022.
• Cyclic sieving for plane partitions and symmetry. SIGMA Symmetry Integrability Geom. Methods Appl., 16, 2020.

• Expectations of combinatorial statistics

• Homomesy via toggeleability statistics, with Colin Defant, Svetlana Poznanović, and James Propp. Preprint, 2021, arxiv:2108.13227.
• Minuscule doppelgängers, the coincidental down-degree expectations property, and rowmotion. Experimental Mathematics, 31(3), 2022.
• The CDE property for skew vexillary permutations. Journal of Combinatorial Theory, Series A, 168, 2019.
• The CDE property for minuscule lattices. Journal of Combinatorial Theory, Series A, 152, 2017.
• The expected jaggedness of order ideals, with Melody Chan, Shahrzad Haddadan, and Luca Moci. Forum of Mathematics, Sigma, 5, 2017.
• A note on statistical averages for oscillating tableaux, with Ingrid Zhang. Electronic Journal of Combinatorics, 22(2), 2015.

• Enumeration of tableaux and plane partitions

• On the q-enumeration of barely set-valued tableaux and plane partitions, with Alexander Lazar and Svante Linusson. Preprint, 2021, arXiv:2106.07418.
• Plane partitions of shifted double staircase shape, with Tri Lai. Journal of Combinatorial Theory, Series A, 183, 2021.

• Labeled chip-firing and root system chip-firing

• A positive formula for the Ehrhart-like polynomials from root system chip-firing, with Alexander Postnikov. Algebraic Combinatorics, 2(6), 2019.
• Root system chip-firing II: Central-firing, with Pavel Galashin, Thomas McConville, and Alexander Postnikov. International Mathematics Research Notices, 2021, no. 13.
• Root system chip-firing I: Interval-firing, with Pavel Galashin, Thomas McConville, and Alexander Postnikov. Mathematische Zeitschrift, 292(3-4), 2019.
• Sorting via chip-firing, with Thomas McConville and James Propp. Electronic Journal of Combinatorics, 24(3), 2017.

• Parking functions, graph orientations and the Tutte polynomial

• Fourientation activities and the Tutte polynomial, with Spencer Backman and Lorenzo Traldi. European Journal of Combinatorics, 67, 2018.
• Fourientations and the Tutte polynomial, with Spencer Backman. Research in the Mathematical Sciences, 4, 2017.
• Parking functions and tree inversions revisited, with Petar Gaydarov. Advances in Applied Mathematics, 80, 2016.
• Bigraphical arrangements, with David Perkinson. Transactions of the American Mathematical Society, 368(1), 2016.
• Another proof of Wilmes' conjecture. Discrete Mathematics, 323, 2014.
• Orientations, semiorders, arrangements, and parking functions, with David Perkinson. Electronic Journal of Combinatorics, 19(4), 2012.

• Miscellaneous

• Combinatorial reciprocity for non-intersecting paths, with Gjergji Zaimi. Enumerative Combinatorics and Applications, 3(2), 2023.
• Restricted Birkhoff polytopes and Ehrhart period collapse , with Per Alexandersson and Gjergji Zaimi. Preprint, 2022, arxiv:2206.02276.
• A note on Möbius functions of upho posets. Electronic Journal of Combinatorics, 29(2), 2022.
• Quantum integer-valued polynomials, with Nate Harman. Journal of Algebraic Combinatorics, 45(2), 2017.
• Interlacing networks: birational RSK, the octahedron recurrence, and Schur function identities with Miriam Farber and Wuttisak Trongsiriwat. Journal of Combinatorial Theory, Series A, 133, 2015.
• Pattern avoidance in poset permutations, with Morgan Weiler. Order, 33(2), 2016.

Talk slides & other writing

• Slides from my 2022 talk on involutions on Dyck paths, and piecewise linear & birational lifts at the ACPMS special 1-day seminar on birational combinatorics.
• Slides from my 2021 talk on promotion, webs, and plabic graphs at the BIRS workshop on dynamical algebraic combiantorics.
• Crux - The Last Problem: Demystified, an expository article for the problem journal Crux Mathematicorum contextualizing a problem from their June 2021 issue.
• Slides from my 2020 talk on order polynomial product formulas and poset dynamics at the University of Minnesota combinatorics seminar.
• Slides from my 2018 talk on root system chip-firing at FPSAC, Dartmouth.
• Problems from the 2015 CMO-BIRS sandpile workshop.
• Notes from the 2015 AIM workshop on dynamical algebraic combinatorics.
• Slides from my 2014 talk on bigraphical arrangements at FPSAC, Chicago.
• RSK via local transformations, an expository article based on MIT combinatorics preseminar presentations of Alex Postnikov, 2014.
• Problems from the 2013 AIM workshop on chip-firing.