Michaela A. Polley

activity

20222026

collaborators

3 papers

math.CO2026

Enumerating separable derangements

Robert Dougherty-Bliss, Alejandro B. Galván, Michaela A. Polley +1

We give a polynomial-time algorithm to compute the number $b_{n}$ of separable derangements of $[n]$ . This algorithm is based on a generating function technique which tracks permutat…

math.CO2025

Patterns in rectangulations. Part I: $⊤$ -like patterns, inversion sequence classes $I (010, 101, 120, 201)$ and $I (011, 201)$ , and rushed Dyck paths

Andrei Asinowski, Michaela A. Polley

We initiate a systematic study of pattern avoidance in rectangulations. We give a formal definition of such patterns and investigate rectangulations that avoid $⊤$ -like patterns…

math.CO2022

The 334-Triangle Graph of $S L_{3} (Z)$

Eric S. Egge, Michaela A. Polley

Long, Reid, and Thistlewaite have shown that some groups generated by representations of the $Δ334$ triangle group in $S L_{3} (Z)$ are thin, while the status of others is un…

Enumerating separable derangements

Patterns in rectangulations. Part I: ⊤-like patterns, inversion sequence classes I(010,101,120,201) and I(011,201), and rushed Dyck paths

The 334-Triangle Graph of SL3​(Z)

Patterns in rectangulations. Part I: $⊤$ -like patterns, inversion sequence classes $I (010, 101, 120, 201)$ and $I (011, 201)$ , and rushed Dyck paths

The 334-Triangle Graph of $S L_{3} (Z)$