Preprints

  1. Upho lattices II: ways of realizing a core, with Joel Lewis. In preparation, 2025.
  2. Upho lattices I: examples and non-examples of cores. Preprint, 2024, arXiv:2407.08013. Forthcoming, Combinatorial Theory.

Publications

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

  1. Restricted Birkhoff polytopes and Ehrhart period collapse , with Per Alexandersson and Gjergji Zaimi. Discrete & Computational Geometry, 73(1), 2025.
  2. Order polynomial product formulas and poset dynamics. In Open Problems in Algebraic Combinatorics, Proceedings of Symposia in Pure Mathematics, 110, 2024.
  3. Homomesy via toggeleability statistics, with Colin Defant, Svetlana Poznanović, and James Propp. Combinatorial Theory, 3(2), 2023.
  4. On the q-enumeration of barely set-valued tableaux and plane partitions, with Alexander Lazar and Svante Linusson. European Journal of Combinatorics, 113, 2023.
  5. Combinatorial reciprocity for non-intersecting paths, with Gjergji Zaimi. Enumerative Combinatorics and Applications, 3(2), 2023.
  6. Minuscule doppelgängers, the coincidental down-degree expectations property, and rowmotion. Experimental Mathematics, 31(3), 2022.
  7. A note on Möbius functions of upho posets. Electronic Journal of Combinatorics, 29(2), 2022.
  8. The birational Lalanne-Kreweras involution, with Michael Joseph. Algebraic Combinatorics, 5(2), 2022.
  9. Promotion of Kreweras words, with Martin Rubey. Selecta Mathematica (N.S.), 28(1), 2022.
  10. Symmetry of Narayana numbers and rowvacuation of root posets, with Colin Defant. Forum of Mathematics, Sigma, 9, 2021.
  11. Root system chip-firing II: Central-firing, with Pavel Galashin, Thomas McConville, and Alexander Postnikov. International Mathematics Research Notices, 2021, no. 13.
  12. Plane partitions of shifted double staircase shape, with Tri Lai. Journal of Combinatorial Theory, Series A, 183, 2021.
  13. Cyclic sieving for plane partitions and symmetry. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 16, 2020.
  14. A positive formula for the Ehrhart-like polynomials from root system chip-firing, with Alexander Postnikov. Algebraic Combinatorics, 2(6), 2019.
  15. Root system chip-firing I: Interval-firing, with Pavel Galashin, Thomas McConville, and Alexander Postnikov. Mathematische Zeitschrift, 292(3-4), 2019.
  16. The CDE property for skew vexillary permutations. Journal of Combinatorial Theory, Series A, 168, 2019.
  17. Fourientation activities and the Tutte polynomial, with Spencer Backman and Lorenzo Traldi. European Journal of Combinatorics, 67, 2018.
  18. Fourientations and the Tutte polynomial, with Spencer Backman. Research in the Mathematical Sciences, 4, 2017.
  19. Sorting via chip-firing, with Thomas McConville and James Propp. Electronic Journal of Combinatorics, 24(3), 2017.
  20. The CDE property for minuscule lattices. Journal of Combinatorial Theory, Series A, 152, 2017.
  21. The expected jaggedness of order ideals, with Melody Chan, Shahrzad Haddadan, and Luca Moci. Forum of Mathematics, Sigma, 5, 2017.
  22. Quantum integer-valued polynomials, with Nate Harman. Journal of Algebraic Combinatorics, 45(2), 2017.
  23. Parking functions and tree inversions revisited, with Petar Gaydarov. Advances in Applied Mathematics, 80, 2016.
  24. Pattern avoidance in poset permutations, with Morgan Weiler. Order, 33(2), 2016.
  25. Bigraphical arrangements, with David Perkinson. Transactions of the American Mathematical Society, 368(1), 2016.
  26. A note on statistical averages for oscillating tableaux, with Ingrid Zhang. Electronic Journal of Combinatorics, 22(2), 2015.
  27. 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.
  28. Another proof of Wilmes' conjecture. Discrete Mathematics, 323, 2014.
  29. Orientations, semiorders, arrangements, and parking functions, with David Perkinson. Electronic Journal of Combinatorics, 19(4), 2012.

Talk slides & other informal math writing

  1. Slides from my 2025 talk on Catalan objects, lattices, and dynamics at the BIRS workshop on lattice theory.
  2. Problems from Jim Propp's 64th birthday conference.
  3. Slides from my 2024 talk on order polynomial product formulas and poset dynamics at Jim Propp's 64th birthday conference.
  4. Slides from my 2024 talk on upho posets at CombinaTexas 2024.
  5. Slides from my 2023 talk on combinatorial reciprocity for non-intersecting paths at the special session on enumerative combinatorics, AMS Fall Central Sectional.
  6. 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.
  7. The Last Problem: Demystified, an expository article for the February 2022 issue of Crux Mathematicorum, contextualizing a problem from their June 2021 issue.
  8. Slides from my 2021 talk on promotion, webs, and plabic graphs at the BIRS workshop on dynamical algebraic combiantorics.
  9. Slides from my 2020 talk on promotion of Kreweras words at the session on enumerative combinatorics, CMS Winter Meeting.
  10. Slides from my 2018 talk on root system chip-firing at FPSAC, Dartmouth.
  11. Problems from the 2015 CMO-BIRS workshop on sandpiles.
  12. Notes from the 2015 AIM workshop on dynamical algebraic combinatorics.
  13. Slides from my 2014 talk on bigraphical arrangements at FPSAC, Chicago.
  14. RSK via local transformations, an expository article based on MIT combinatorics preseminar presentations of Alex Postnikov, 2014.
  15. Problems from the 2013 AIM workshop on chip-firing.

FPSAC extended abstracts

  1. 2024 (Bochum): Upho lattices and their cores.
  2. 2022 (Bangalore): Promotion of Kreweras Words, with Martin Rubey.
  3. 2019 (Ljubljana): The CDE property for skew vexillary permutations.
  4. 2018 (Dartmouth College, Hanover): Root system chip-firing, with Pavel Galashin, Thomas McConville, and Alexander Postnikov.
  5. 2017 (London): Sorting via chip-firing, with Thomas McConville and James Propp.
  6. 2016 (Vancouver): Fourientation activities and the Tutte polynomial: Extended abstract, with Spencer Backman and Lorenzo Traldi.
  7. 2014 (Chicago): Bigraphical arrangements, with David Perkinson.