Undergraduate Mathematics Research
Westminster College, Salt Lake City, UT
I received my B.S. in Mathematics from Westminster College (now University) in 2018. I also completed the humanities-focused honors program and minored in Physics and Computer Science. I contributed to two summer undergraduate research programs.
Tiling Theory
REU Program at University of Washington, Bothell
I worked with two other undergraduate students and Dr. Casey Mann to solve open questions in the field of Tiling Theory through a pure math Research Experience for Undergraduates (REU) program funded by the NSF.
Created an algorithm in C++ that provided some of the first examples of 3D solids with finite Heesch numbers. Optimized and parallelized this code to run efficiently on 96 CPUs through the HYAK super-computing cluster at UW Seattle.
Proved the theorem: “For each n ≥ 3, there exists a tile with the n-enclosing property that admits both a periodic and non-periodic monohedral tiling.”
Provided a counterexample to the theorem: “The neighborhood of any given tile in a monohedral tiling will be equivalent to the patch generated by that tile.”
3DHeesch_Poster.pdfHeesch Numbers of Modified 3-Dimensional Solids
SACNAS Conference 2017
Voderberg_Poster.pdfn-enclosing Tiles that Admit Monohedral Tilings with Cavity Neighborhoods
Joint Mathematics Magazine 2018
Institute for Mountain Research
Westminster College
I assisted Dr. Russel Costa with the project “On the Interface of Snow and Human Sciences”, the results of which were presented at the International Snow Science Workshop in Breckenridge, CO on October 4, 2016.
International Snow Science Workshop, 2016
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