Zachary Hamaker

activity

20122026

most citedInvolution words II: braid relations and atomic structures

34 citations · 193 across the 23 of their papers we have counts for

collaborators

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4 papers · 1 filter

math.CO2025

Odd Shifted Parking Functions

Zachary Hamaker, Jesse Kim

Stanley recently introduced the shifted parking function symmetric function $S H_{n}$ , which is the shiftification of Haiman's parking function symmetric function $P F_{n}$ . The function…

math.CO2025

Moments of permutation statistics by cycle type

Zachary Hamaker, Brendon Rhoades

Beginning with work of Zeilberger on classical pattern counts, there are a variety of structural results for moments of permutation statistics applied to random permutations. Using…

math.CO2025

Partial permutations and character evaluations

Zachary Hamaker, Brendon Rhoades

Let $I = (i_{1}, \dots, i_{k})$ and $J = (j_{1}, \dots, j_{k})$ be two length $k$ sequences drawn from ${1, \dots, n}$ . We have the group algebra element $[I,J] := \sum_{w(I) = J} w \in…

math.CO2025

Type C $K$ -Stanley symmetric functions and Kraśkiewicz-Hecke insertion

Joshua Arroyo, Zachary Hamaker, Graham Hawkes +1

We study Type C $K$ -Stanley symmetric functions, which are $K$ -theoretic extensions of the Type C Stanley symmetric functions. They are indexed by signed permutations and can be us…

Odd Shifted Parking Functions

Moments of permutation statistics by cycle type

Partial permutations and character evaluations

Type C K-Stanley symmetric functions and Kraśkiewicz-Hecke insertion

Type C $K$ -Stanley symmetric functions and Kraśkiewicz-Hecke insertion