On Sparsely Schemmel Totient Numbers. - Colin Defant (Integers, 2015)

On Arithmetic Functions Related to Iterates of the Schemmel Totient Functions. - Colin Defant (J. Integer Seq., 2015)

Unitary Cayley graphs of Dedekind domain quotients. - Colin Defant (AKCE Int. J. Graphs Comb., 2016)

Upper Bounds for Stern's Diatomic Sequence and Related Sequences. - Colin Defant (Electron. J. Comb., 2016)

Anti-Power Prefixes of the Thue-Morse Word. - Colin Defant (Electron. J. Comb., 2017)

Postorder Preimages. - Colin Defant (Discret. Math. Theor. Comput. Sci., 2017)

Binary Codes and Period-2 Orbits of Sequential Dynamical Systems. - Colin Defant (Discret. Math. Theor. Comput. Sci., 2017)

Preimages Under the Stack-Sorting Algorithm. - Colin Defant (Graphs Comb., 2017)

Flexible toggles and symmetric invertible asynchronous elementary cellular automata. - Colin Defant (Discret. Math., 2018)

Domination and upper domination of direct product graphs. - Colin Defant; Sumun Iyer (Discret. Math., 2018)

Ranges of Unitary Divisor Functions. - Colin Defant (Integers, 2018)

Proofs of Conjectures about Pattern-Avoiding Linear Extensions. - Colin Defant (Discret. Math. Theor. Comput. Sci., 2019)

On anti-powers in aperiodic recurrent words. - Aaron Berger; Colin Defant (Adv. Appl. Math., 2020)

Fertility, strong fertility, and postorder Wilf equivalence. - Colin Defant (Australas. J Comb., 2020)

Stack-sorting for words. - Colin Defant; Noah Kravitz (Australas. J Comb., 2020)

Anti-Ramsey theory on complete bipartite graphs. - Stephan Cho; Jay Cummings; Colin Defant; Claire Sonneborn (AKCE Int. J. Graphs Comb., 2020)

Polyurethane Toggles. - Colin Defant (Electron. J. Comb., 2020)

Supertrees. - Colin Defant; Noah Kravitz; Ashwin Sah (Electron. J. Comb., 2020)

Quantifying Noninvertibility in Discrete Dynamical Systems. - Colin Defant; James Propp (Electron. J. Comb., 2020)

Isoperimetry, stability, and irredundance in direct products. - Noga Alon; Colin Defant (Discret. Math., 2020)

Pattern-avoiding permutation powers. - Amanda Burcroff; Colin Defant (Discret. Math., 2020)

Counting 3-stack-sortable permutations. - Colin Defant (J. Comb. Theory A, 2020)

Catalan intervals and uniquely sorted permutations. - Colin Defant (J. Comb. Theory A, 2020)

Stack-sorting, set partitions, and Lassalle's sequence. - Colin Defant; Michael Engen; Jordan A. Miller (J. Comb. Theory A, 2020)

Dynamical Algebraic Combinatorics, Asynchronous Cellular Automata, and Toggling Independent Sets. - Laurent David; Colin Defant; Michael Joseph; Matthew Macauley; Alex McDonough (AUTOMATA, 2021)

Stack-sorting with consecutive-pattern-avoiding stacks. - Colin Defant; Kai Zheng (Adv. Appl. Math., 2021)

Asymptotics of 3-Stack-Sortable Permutations. - Colin Defant; Andrew Elvey Price; Anthony J. Guttmann (Electron. J. Comb., 2021)

Friends and strangers walking on graphs. - Colin Defant; Noah Kravitz (Comb. Theory, 2021)

Enumeration of Stack-Sorting Preimages via a Decomposition Lemma. - Colin Defant (Discret. Math. Theor. Comput. Sci., 2021)

Fertility monotonicity and average complexity of the stack-sorting map. - Colin Defant (Eur. J. Comb., 2021)

The runsort permuton. - Noga Alon; Colin Defant; Noah Kravitz (Adv. Appl. Math., 2022)

Meeting covered elements in ν-Tamari lattices. - Colin Defant (Adv. Appl. Math., 2022)

Stack-sorting for Coxeter groups. - Colin Defant (Comb. Theory, 2022)

Pop-stack-sorting for Coxeter groups. - Colin Defant (Comb. Theory, 2022)

Crystal pop-stack sorting and type A crystal lattices. - Colin Defant; Nathan Williams (Eur. J. Comb., 2022)

Homomesy via toggleability statistics. - Colin Defant; Sam Hopkins 002; Svetlana Poznanovic; James Propp (Comb. Theory, 2023)

Triangular-grid billiards and plabic graphs. - Colin Defant; Pakawut Jiradilok (Comb. Theory, 2023)

Tilings of benzels via the abacus bijection. - Colin Defant; Rupert Li; James Propp; Benjamin Young (Comb. Theory, 2023)

Extensions of hitomezashi patterns. - Colin Defant; Noah Kravitz; Bridget Eileen Tenner (Discret. Math., 2023)

Typical and extremal aspects of friends-and-strangers graphs. - Noga Alon; Colin Defant; Noah Kravitz (J. Comb. Theory B, 2023)

Promotion Sorting. - Colin Defant; Noah Kravitz (Order, 2023)

Fertilitopes. - Colin Defant (Discret. Comput. Geom., 2023)

Wiener Indices of Minuscule Lattices. - Colin Defant; Valentin Féray; Philippe Nadeau; Nathan Williams (Electron. J. Comb., 2024)

Foot-Sorting for Socks. - Colin Defant; Noah Kravitz (Electron. J. Comb., 2024)

Rowmotion on (m )-Tamari and biCambrian lattices. - Colin Defant; James Lin (Comb. Theory, 2024)

Permutoric promotion: gliding globs, sliding stones, and colliding coins. - Colin Defant; Rachana Madhukara; Hugh Thomas (Comb. Theory, 2024)

Mixing on Generalized Associahedra. - William Chang; Colin Defant; Daniel Frishberg (CoRR, 2024)

Connectedness and cycle spaces of friends-and-strangers graphs. - Colin Defant; David Dong; Alan Lee; Michelle Wei (Discuss. Math. Graph Theory, 2024)

Loops and regions in Hitomezashi patterns. - Colin Defant; Noah Kravitz (Discret. Math., 2024)

Rowmotion Markov chains. - Colin Defant; Rupert Li; Evita Nestoridi (Adv. Appl. Math., 2024)

The Ungar Games. - Colin Defant; Noah Kravitz; Nathan Williams (Comb., 2024)

Boolean, free, and classical cumulants as tree enumerations. - Colin Defant; Mitchell Lee (Adv. Appl. Math., 2025)

Tilings of Benzels via Generalized Compression. - Colin Defant; Leigh Foster; Rupert Li; James Propp; Benjamin Young (SIAM J. Discret. Math., 2025)

Ordering Candidates via Vantage Points. - Noga Alon; Colin Defant; Noah Kravitz; Daniel G. Zhu (Comb., 2025)