CD
Colin Defant
math.COmath.NTmath.PRmath.DSmath.GRmath.RTmath.GTcs.DMcs.DScs.IT
On Valency
published · living versionsW_ykmcmraj·v1 · currentpublished
Extended weak order in all rank three Coxeter groups
with Grant Barkley, Patricia Hersh, Jon McCammond, Thomas McConville +1
1 version
W_wrtg9wyz·v1published
Preprints & journals
111 papers in the corpus · 2014–2026Cutoff for the Adjacent Transposition Shuffle on a Cycle2609.40076v1 · Colin Defant2026 · 0 citationsarXiv
All Quiet on the AI Front: The Future of Undergraduate Math Research, Viewed from Duluth2609.28615v1 · Colin Defant, Eliot Hodges, Noah Kravitz2026 · 0 citationsarXiv
Invariance of rowmotion for variants of the Tamari lattice2609.12983v1 · Ben Adenbaum, Emily Barnard, Cesar Ceballos et al.2026 · 0 citationsarXiv
Proof of the Lyons--White Conjecture2608.27708v1 · Colin Defant, Ken Ono2026 · 0 citationsarXiv
Zero-free columns in character tables of symmetric groups2608.27718v1 · Colin Defant, Sidharth Hariharan, Kenny Lau et al.2026 · 0 citationsarXiv
Noncrossing Combinatorics, the Full Twist, and Decategorification of Knot Invariants2608.06225v1 · Colin Defant, Nathan Williams2026 · 0 citationsarXiv
Short Proofs in Algebraic and Enumerative Combinatorics2605.19979v3 · Colin Defant2026 · 0 citationsarXiv
Weak Order on the MacNeille Completion of Bruhat Order2605.08033v2 · Colin Defant2026 · 0 citationsarXiv
Sets with Few Subset Sums2605.05498v2 · Ruben Carpenter, Colin Defant, Noah Kravitz2026 · 0 citationsarXiv
On the number of permutation-twisted dot products2601.15276v3 · Ruben Carpenter, Colin Defant, Noah Kravitz2026 · 0 citationsarXiv
The Minary Primitive of Computational Autopoiesis2601.04501v1 · Daniel Connor, Colin Defant2026 · 0 citationsarXiv
Permutahedron Triangulations via Total Linear Stability and the Dual Braid Group2509.11497v2 · Colin Defant, Melissa Sherman-Bennett, Nathan Williams2025 · 0 citationsarXiv
Extended Weak Order for the Rank 3 Universal Coxeter Group2509.00871v2 · Grant Barkley, Colin Defant, Patricia Hersh et al.2025 · 0 citationsarXiv
Rowmotion and Echelonmotion2507.18230v1 · Colin Defant, Yuhan Jiang, Rene Marczinzik et al.2025 · 0 citationsarXiv
Chute Move Posets are Lattices2507.13214v1 · Ilani Axelrod-Freed, Colin Defant, Hanna Mularczyk et al.2025 · 0 citationsarXiv
Permutons from Demazure Products2505.15630v1 · Colin Defant2025 · 0 citationsarXiv
Reduced Random Walks in the Hyperbolic Plane2504.19367v1 · Colin Defant, Mitchell Lee2025 · 0 citationsarXiv
The Affine Tamari Lattice2502.07198v1 · Grant Barkley, Colin Defant2025 · 0 citationsarXiv
Homology in Combinatorial Refraction Billiards2502.06013v2 · Colin Defant, Derek Liu2025 · 0 citationsarXiv
Random Subwords and Billiard Walks in Affine Weyl Groups2501.11095v1 · Colin Defant, Pakawut Jiradilok, Elchanan Mossel2025 · 0 citationsarXiv
The Pop-Stack Operator on Ornamentation Lattices2501.10311v1 · Khalid Ajran, Colin Defant2025 · 0 citationsarXiv
Boolean, Free, and Classical Cumulants as Tree Enumerations2409.05219v1 · Colin Defant, Mitchell Lee2024 · 0 citationsarXiv
Mixing on Generalized Associahedra2408.05611v1 · William Chang, Colin Defant, Daniel Frishberg2024 · 0 citationsarXiv
Random Subwords and Pipe Dreams2408.05182v1 · Colin Defant2024 · 0 citationsarXiv
Random Combinatorial Billiards and Stoned Exclusion Processes2406.07858v2 · Colin Defant2024 · 0 citationsarXiv
Rainbow Stackings of Random Edge-Colorings2405.14795v1 · Noga Alon, Colin Defant, Noah Kravitz2024 · 0 citationsarXiv
0-Hecke Modules, Domino Tableaux, and Type- Quasisymmetric Functions2404.04961v1 · Colin Defant, Dominic Searles2024 · 2 citationsarXiv
Toric Promotion with Reflections and Refractions2404.03649v2 · Ashleigh Adams, Colin Defant, Jessica Striker2024 · 0 citationsarXiv
Tilings of Benzels via Generalized Compression2403.07663v1 · Colin Defant, Leigh Foster, Rupert Li et al.2024 · 1 citationSIAM J. Discrete Math. 39(1):146-162 (2025)
Operahedron Lattices2402.12717v1 · Colin Defant, Andrew Sack2024 · 0 citationsarXiv
Bender--Knuth Billiards in Coxeter Groups2401.17360v3 · Grant Barkley, Colin Defant, Eliot Hodges et al.2024 · 1 citationForum Math. Sigma 13 (2025), Paper No. e7, 55 pp
Pop-Stack Operators for Torsion Classes and Cambrian Lattices2312.03959v1 · Emily Barnard, Colin Defant, Eric J. Hanson2023 · 0 citationsarXiv
Ordering Candidates via Vantage Points2308.05208v1 · Noga Alon, Colin Defant, Noah Kravitz et al.2023 · 0 citationsarXiv
Permutoric Promotion: Gliding Globs, Sliding Stones, and Colliding Coins2305.19961v1 · Colin Defant, Rachana Madhukara, Hugh Thomas2023 · 0 citationsarXiv
Torsors and tilings from toric toggling2305.07627v1 · Colin Defant, Michael Joseph, Matthew Macauley et al.2023 · 0 citationsarXiv
Wiener Indices of Minuscule Lattices2304.06113v1 · Colin Defant, Valentin F'eray, Philippe Nadeau et al.2023 · 1 citationarXiv
The Ungar Games2302.06552v2 · Colin Defant, Noah Kravitz, Nathan Williams2023 · 0 citationsarXiv
Ungarian Markov Chains2301.08206v1 · Colin Defant, Rupert Li2023 · 3 citationsElectron. J. Probab. 28:1-39 (2023)
Rowmotion Markov Chains2212.14005v2 · Colin Defant, Rupert Li, Evita Nestoridi2022 · 0 citationsAdv. Appl. Math. 155:102666 (2024)
Foot-Sorting for Socks2211.02021v2 · Colin Defant, Noah Kravitz2022 · 0 citationsarXiv
Tilings of Benzels via the Abacus Bijection2209.05717v2 · Colin Defant, Rupert Li, James Propp et al.2022 · 2 citationsComb. Theory 3(2):1-24 (2023)
Pop, Crackle, Snap (and Pow): Some Facets of Shards2209.05392v2 · Colin Defant, Nathan Williams2022 · 0 citationsarXiv
Connectedness and Cycle Spaces of Friends-and-Strangers Graphs2209.01704v1 · Colin Defant, David Dong, Alan Lee et al.2022 · 2 citationsarXiv
Extensions of Hitomezashi Patterns2208.14428v2 · Colin Defant, Noah Kravitz, Bridget Eileen Tenner2022 · 3 citationsarXiv
Rowmotion on -Tamari and BiCambrian Lattices2208.10464v2 · Colin Defant, James Lin2022 · 0 citationsarXiv
Triangular-Grid Billiards and Plabic Graphs2202.06943v2 · Colin Defant, Pakawut Jiradilok2022 · 2 citationsCombinatorial Theory, 3(1) (2023)
Loops and Regions in Hitomezashi Patterns2201.03461v2 · Colin Defant, Noah Kravitz2022 · 4 citationsarXiv
Toric Promotion2112.06843v3 · Colin Defant2021 · 0 citationsarXiv
Semidistrim Lattices2111.08122v1 · Colin Defant, Nathan Williams2021 · 7 citationsarXiv
Crystal Pop-Stack Sorting and Type A Crystal Lattices2109.08251v1 · Colin Defant, Nathan Williams2021 · 2 citationsarXiv
Career total: 126 works. 111 are in this corpus.Showing the 50 most recent.
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