## Preprints

*Upho lattices III: distributive and modular lattices*. In preparation, 2024.*Upho lattices II: ways of realizing a core*, with Joel Lewis. In preparation, 2024.*Upho lattices I: examples and non-examples of cores*. In preparation, 2024.*Order polynomial product formulas and poset dynamics*. Preprint, 2020, arXiv:2006.01568. For the proceedings of the Open Problems in Algebraic Combinatorics 2022 conference at the University of Minnesota.

## Publications

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

*Restricted Birkhoff polytopes and Ehrhart period collapse*, with Per Alexandersson and Gjergji Zaimi. Discrete & Computational Geometry, in press, 2024.*Homomesy via toggeleability statistics*, with Colin Defant, Svetlana Poznanović, and James Propp. Combinatorial Theory, 3(2), 2023.*On the q-enumeration of barely set-valued tableaux and plane partitions*, with Alexander Lazar and Svante Linusson. European Journal of Combinatorics, 113, 2023.*Combinatorial reciprocity for non-intersecting paths*, with Gjergji Zaimi. Enumerative Combinatorics and Applications, 3(2), 2023.*Minuscule doppelgängers, the coincidental down-degree expectations property, and rowmotion*. Experimental Mathematics, 31(3), 2022.*A note on Möbius functions of upho posets*. Electronic Journal of Combinatorics, 29(2), 2022.*The birational Lalanne-Kreweras involution*, with Michael Joseph. Algebraic Combinatorics, 5(2), 2022.*Promotion of Kreweras words*, with Martin Rubey. Selecta Mathematica (N.S.), 28(1), 2022.*Symmetry of Narayana numbers and rowvacuation of root posets*, with Colin Defant. Forum of Mathematics, Sigma, 9, 2021.*Root system chip-firing II: Central-firing*, with Pavel Galashin, Thomas McConville, and Alexander Postnikov. International Mathematics Research Notices, 2021, no. 13.*Plane partitions of shifted double staircase shape*, with Tri Lai. Journal of Combinatorial Theory, Series A, 183, 2021.*Cyclic sieving for plane partitions and symmetry*. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 16, 2020.*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 I: Interval-firing*, with Pavel Galashin, Thomas McConville, and Alexander Postnikov. Mathematische Zeitschrift, 292(3-4), 2019.*The CDE property for skew vexillary permutations*. Journal of Combinatorial Theory, Series A, 168, 2019.*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.*Sorting via chip-firing*, with Thomas McConville and James Propp. Electronic Journal of Combinatorics, 24(3), 2017.*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.*Quantum integer-valued polynomials*, with Nate Harman. Journal of Algebraic Combinatorics, 45(2), 2017.*Parking functions and tree inversions revisited*, with Petar Gaydarov. Advances in Applied Mathematics, 80, 2016.*Pattern avoidance in poset permutations*, with Morgan Weiler. Order, 33(2), 2016.*Bigraphical arrangements*, with David Perkinson. Transactions of the American Mathematical Society, 368(1), 2016.*A note on statistical averages for oscillating tableaux*, with Ingrid Zhang. Electronic Journal of Combinatorics, 22(2), 2015.*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.*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.

## Talk slides & other informal math writing

- Slides from my 2023 talk on combinatorial reciprocity for non-intersecting paths at the Special Session on Enumerative Combinatorics, AMS Fall Central Sectional.
- 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 workshop on sandpiles.
- 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.

## FPSAC abstracts

- 2024 (Bochum): Upho lattices and their cores.
- 2022 (Bangalore): Promotion of Kreweras Words, with Martin Rubey.
- 2019 (Ljubljana): The CDE property for skew vexillary permutations.
- 2018 (Hanover): Root system chip-firing, with Pavel Galashin, Thomas McConville and Alexander Postnikov.
- 2017 (London): Sorting via chip-firing, with Thomas McConville and James Propp.
- 2016 (Vancouver): Fourientation activities and the Tutte polynomial: Extended abstract, with Spencer Backman and Lorenzo Traldi.
- 2014 (Chicago): Bigraphical arrangements, with David Perkinson.