David J. Hemmer

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20242026

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math.CO2024

Generating functions for fixed points of the Mullineux map

David J. Hemmer

Mullineux defined an involution on the set of $e$ -regular partitions of $n$ . When $e = p$ is prime, these partitions label irreducible symmetric group modules in characteristic $p$ .…

math.CO2024

Palindrome Partitions and the Calkin-Wilf Tree

David J. Hemmer, Karlee J. Westrem

There is a well-known bijection between finite binary sequences and integer partitions. Sequences of length r correspond to partitions of perimeter r+1. Motivated by work on ration…

math.CO2024

Partitions with fixed points in the sequence of first-column hook lengths

Philip Cuthbertson, David J. Hemmer, Brian Hopkins +1

Recently, Blecher and Knopfmacher applied the notion of fixed points to integer partitions. This has already been generalized and refined in various ways such as $h$ -fixed points f…