William Kuszmaul. Counting Permutations Modulo Pattern-Replacement Equivalences for Three-Letter Patterns.
The Electronic Journal of Combinatorics 20(4) (2013), #P10.
Surya Bhupatiraju, Pavel Etingof, David Jordan, William Kuszmaul, Jason Li. Lower Central Series of a Free Associative Algebra Over the Integers and Finite Fields.
Journal of Algebra 372 (2012): 251-274.
Bradley C. Kuszmaul and William H. Kuszmaul. Avoiding Tree Saturation in the Face of Many Hotspots with Few
16th IEEE International Conference on HighPerformance Computing and Communications (2014) : 472.
Hideaki Kimura, William Kuszmaul, and Harumi Kuno. An Embedded Database for Modern Hardware.
Hewlett Packard Tech Con (2015).
William Kuszmaul. New Results on Doubly Adjacent Pattern-Replacement Equivalences. arXiv:1402.3881, 2014.
William Kuszmaul. A New Approach to Enumerating Statistics Modulo n. arXiv:1402.3839, 2013.
William Kuszmaul and Ziling Zhou. Equivalence Classes in S_n for Three Families of Pattern-Replacement Relations. MIT PRIMES, 2013.
My 2011 Siemens talk with Surya Bhupatiraju
Below is the talk I gave for the 2013 Davidson Fellows Scholarship:
Some of the C++ code I wrote for my research on equivalence classes of permutations under pattern-replacement equivalences -- feel free to use it!
Photos of some origami roses I designed: