Each Reed College senior writes a senior thesis. The thesis is a year-long
project culminating in a written document and an oral defense in front of a
group of faculty drawn from across disciplines in the College.
Senior theses I have advised:
- 2024Matroids and their cycle systems: the \(h\)-vector conjecture for a new class of matroids, Solís McClain
- 2023The \(h\)-vector conjecture for matroids with cycle systems, Marlo Albers
- 2022The CW Decomposition of the Grassmannian Manifold, Anna Luce
- 2022Kasteleyn's Tiling Theorem Using Complex Weights, Sharon Wang
- 2021Row motion over \(P\)-partitions, Xinling Chen
- 2020Row motion and doppelgänger pairs, Kaitlyn Hepp
- 2020Toppling ideals of M-matrices, Livia Xu
- 20183D Sandpiles and efficient computation of the circular sandpile, Alex Grant
- 2018Divisor theory of simplicial complexes, Jesse Kim
- 2017A GPU approach to the Abelian sandpile model, Cameron Fish
- 2017The stationary density and threshold density of sandpiles, Vivian Tylińska
- 2017A knowledge-based approach to Disconnect three, Lucien Florin Feier
- 2016M-matrices and Chip Firing, Munyo Frey-Edwards
- 2016Split Reactive Brownian Dynamics, Qiaoyu Yang
- 2014The Structure of the Jacobian Group of a Graph, Tessa Hoppenfeld
- 2014Generating the Superstable Configurations of a Graph via its Acyclic Orientations, Sofia Wright
- 2013Enumeration of Domino Tilings on the Projective Grid Graph, Wyatt Alt
- 2013Critical Groups of Simplicial Complexes, Marcus P. Robinson
- 2011Extending the Critical Group to Oriented Matroids and Simplicial Complexes, David Krueger
- 2011New connections between the Abelian Sandpile Model and Domino Tilings, Laura Florescu
- 2011Graph Partitions and Free Resolutions of Toppling Ideals, Tianyuan Xu
- 2010Stability in chip-firing games, Tian Jiang
- 2010The connection between dimer covers and sandpile groups, Erica Shannon
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2010Algebraic invariants of sandpile graphs, John Wilmes
- 2009Permanental Ideals, Christopher Cotter (co-advised with Irena Swanson)
- 2009The Abelian Sandpile Model on Symmetric Graphs, Natalie Durgin (Harvey Mudd thesis, co-advised with Francis Su)
- 2009The Tutte Polynomial and the Critical Configuration Polynomial on Acyclic Digraphs, Max Hallock
- 2009Power Laws in the Stock Market, Dani Morar
- 2009Sandpiles: a Bridge between Graphs and Toric Ideals, Jacob Perlman
- 2008Riemann Roch on Directed Graphs, Jeffrey Cruse
- 2008Circulant graphs and their spectra, Julia Lazenby. See also: arXiv e-print
- 2008Constructing a Sandpile Machine, Rebecca Schoenberg-Jones
- 2007The Ranks of a Tropical Matrix, Matthew Strom Borman
- 2007Prediction and parameter estimation in the presence of missing data, Rangania Gwati
- 2006A Category of Polytopes, Lawrence Valby
- 2004Frameworks and Tensegrities, Ananda Floyd
- 2004Multi-cyclic polytopes, Duncan Ramsey
- 2003Wreath-product polytopes, Peter McMahan
- 2002Invariant and covariant rings of finite pseudo-reflection groups, Hannah Robbins
- 2002Cycles in the 2-ball juggling digraph, Candace Schenk
- 2001Hilbert Functions of Finite Group Orbits: Abelian and Metacyclic Groups, Scott Corry
- 2001Juggling State Digraphs and Multiple-Person Pattern, Ben Tombaugh
- 1999Hilbert function of Abelian group orbits, Justin Campbell
- 1999Convex polytopes of permutation matrices, Hana Steinkamp
- 1997On triangulations and secondary polytopes, Ken Mitsumoto
- 1996Combinatorics of Orbitopes, Judy Ridenour
- 1996The Hilbert Function of the Permutahedron, Chris Fesler
- 1995Lotsa Dots: Self-Dual Affine Monomial Varieties, John Mulliken
- 1993Weierstrass Gap Sequences, Krishnan Ravi Shankar
- 1993Inflections of parametrized surfaces, Oliver Gugenheim
- 1992Watered silk: a mathematical look at Moire patterns, Tamie Veith
- 1992Off on a tangent: an examination of concentric circles tangent to a curve, Amanda Danford
- 1991Random thoughts in music: mathematics of randomness in music composition, Linda Young
- 1991Goppa codes: a construction guide, Stephanie Rieser