The Rose-Hulman Mathematical Sciences Technical Report Series is a preprint and informal technical report publication series for faculty and undergraduate student research in the Mathematics Department at Rose-Hulman. Student authored publications have a faculty adviser who is typically a senior thesis/project adviser or adviser for a summer research project such as the Rose-Hulman NSF-REU program. A student's undergraduate institution at the time of the research is recorded in the author information.

This series is not peer reviewed. The authors (with guidance from mentors) are responsible for the correctness of results and exposition of the papers.

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Submissions from 2017

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Algorithmic Factorization of Polynomials over Number Fields, Christian Schulz

Submissions from 2016

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Topological and Hq Equivalence of Prime Cyclic p-gonal Actions on Riemann Surfaces, Sean A. Broughton

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Counting fixed points and two-cycles of the singular map x ↦ x^(x^n), Joshua Holden, Pamela A. Richardson, and Margaret M. Robinson

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Mathematical Modeling of Quadcopter Dynamics, Qikai Huang (Bruce Wingo)

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Counting Solutions to Discrete Non-Algebraic Equations Modulo Prime Powers, Abigail Mann

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Variance of Clusterings on Graphs, Thomas Vlado Mulc

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Statistical Analysis of Binary Functional Graphs of the Discrete Logarithm, Mitchell Orzech

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Inverse Laplace Transform and Post Inversion Formula, Qinmao Zhang

Submissions from 2015

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Quasi-platonic PSL2(q)-actions on closed Riemann surfaces, Sean A. Broughton

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Spontaneous synchrony on graphs and the emergence of order from disorder, Dylan Linville and Daniel Trugillo Martins Fontes

Study of Extinction Time, Yilin Wang

Submissions from 2014

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Calculation of the Killing Form of a Simple Lie Group, Sean A. Broughton

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Continuous Dependence of Solutions of Equations on Parameters, Sean A. Broughton

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Analytical Solution of the Symmetric Circulant Tridiagonal Linear System, Sean A. Broughton and Jeffery J. Leader

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Statistics for fixed points of the self-power map, Joshua Holden and Matthew Friedrichsen

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Deconstructing the Welch Equation using p-adic Methods, Abigail Mann and Adelyn Yeoh

Submissions from 2013

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A Numerical Analysis of PSM with Applications to DDEs, Dustin Lehmkuhl

Submissions from 2012

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Thermal Detection of Inaccessible Corrosion, Matthew Charnley and Andrew Rzeznik

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Robust Analysis of Metabolic Pathways, Emily Gruber, Amy Ko, Michael MacGillvray, and Miranda Sawyer

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Fundamentals of Protein Structure Alignment, Allen Holder, Mark Brandt, and Yosi Shibberu

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Determining Properties of Metal by Analyzing Changes in Impedance, Chase Mathison and Laura Booton

Submissions from 2011

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Nondestructive Electrothermal Detection of Corrosion, Brittany Ambeau, Harris Enniss, and Stefan Schnake

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Structure and Randomness of the Discrete Lambert Map, JingJing Chen and Mark Lotts

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Algebraic Solutions to Overdefined Systems with Applications to Cryptanalysis, Eric Crockett

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The Elliptic Curve Discrete Logarithm and Functional Graphs, Christopher J. Evans

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Cloaking Against Thermal Imaging, Maple So

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The Square Discrete Exponentiation Map, A Wood

Submissions from 2010

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Discrete Logarithms on Elliptic Curves, Aaron Blumenfeld

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Bilinear Programming and Protein Structure Alignment, J. Cain, D. Kamenetsky, and N. Lavine

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Structure and Statistics of the Self-Power Map, Matthew Friedrichsen, Brian Larson, and Emily McDowell

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Computational Biology, Harvey Greenberg and Allen Holder

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G-lattices for an Unrooted Perfect Phylogeny, Monica Grigg

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Parametric LP Analysis, Allen Holder

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A Spectral Approach to Protein Structure Alignment, Yosi Shibberu and Allen Holder

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Intrinsic Contact Geometry of Protein Dynamics, Yosi Shibberu, Allen Holder, and David Cooper

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Fast Protein Structure Alignment, Yosi Shibberu, Allen Holder, and Kyla Lutz

Submissions from 2009

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Anti-Cloaking: The Mathematics of Disguise, Theresa C. Anderson and Brooke E. Phillips

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Flattening a Cone, Sean A. Broughton

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Operations Research Methods for Optimization in Radiation Oncology, M Ehrgott and Allen Holder

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The Digraph of the Square Mapping on Elliptic Curves, Katrina Glaeser

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Electrical Impedance Imaging of Corrosion on a Partially Accessible 2-Dimensional Region, Court Hoang and Katherine Osenbach

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Statistical Investigation of Structure in the Discrete Logarithm, Andrew Hoffman

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A Decomposition of the Pure Parsimony Problem, Allen Holder and Thomas M. Langley

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Structural Properties of Power Digraphs Modulo n, Joseph Kramer-Miller

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A clustering approach for optimizing beam angles in IMRT planning, Gino J. Lim, Allen Holder, and Josh Reese

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Solving the p-Median Problem with Insights from Discrete Vector Quantization, Gino J. Lim, Allen Holder, and Josh Reese

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Discrete Logarithm over Composite Moduli, Marcus L. Mace

Submissions from 2008

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Radiotherapy Optimal Design: An Academic Radiotherapy Treatment Design System, R Acosta, W Brick, A Hanna, Allen Holder, D Lara, G McQuillen, D Nevin, P Uhlig, and B Salter

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Determining the Shape of a Resistor Grid, Esther Chiew and Vincent Selhorst-Jones

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Optimization in the Undergraduate Curriculum, Allen Holder

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Electrothermal Imaging in One and Two Dimensions, Michael Janus and David Kibbling

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A Statistical Look at Maps of the Discrete Logarithm, Nathan Lindle

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Do the Coefficients of a Modular Form Really "Encode Arithmetic Data"?, Ken McMurdy and Hari Ravindran

Submissions from 2007

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The Barycenter of the Numerical Range of a Matrix, Sean A. Broughton, Roger G. Lautzenheiser, and Thomas Werne

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The Discrete Logarithm Problem and Ternary Functional Graphs, Max F. Brugger and Christina A. Frederick

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Isomorphisms of Elliptic Curves over Extensions of Finite Fields, Mathew Niemerg

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Utilizing Thermal Testing for Recovering, James Preciado and Thomas Werne

Submissions from 2006

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Thermal Imaging to Recover a Defect in Three Dimensional Objects, Breanne Baker

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Non-Destructive Recovery of Voids within a Three Dimensional Domain Using Thermal Imaging, Victor B. Oyeyemi

Submissions from 2005

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On the Action of Weight-Preserving Sets, Matthew Badger

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Foundations of Generalized Cwatsets, Jesse Beder

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Time-Dependent Thermal Imaging of Circular Inclusions, Donald L. Brouwn and Mark Hubenthal

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Mapping the Discrete Logarithm, Daniel R. Cloutier

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Big Cwatsets and Hamming Code, Matthew Davis, Thomas M. Langley, and Norah Mazel

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Thermal Imaging of Circular Inclusions within a Two-Dimensional Region, Shannon Talbott and Hilary Spring

Submissions from 2004

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The Birational Isomorphism Types of Smooth Real Elliptic Curves, Sean A. Broughton

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Reconstruction of an Unknown Boundary Portion From Cauchy Data in N-dimensions, Kurt M. Bryan and Lester Caudill

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Non-Destructive Testing of Thermal Resistances for a Single Inclusion in a 2-Dimensional Domain, Nicholas Christian and Mathew A. Johnson

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Reconstruction of Partially Conductive Cracks using Boundary Data, David McCune and Janine Haugh

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Determining the Length of a One-Dimensional Bar, Natalya Yarlikina and Holly Walrath

Submissions from 2003

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When Abelian Groups Split, Rachel M. Thomas and Robert C. Rhoades

Submissions from 2002

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A Review of Selected Works on Crack Indentification, Kurt M. Bryan

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Congruences of Restricted Partition Functions, Matthew Culek and Amanda Knecht

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Characterizing a Defect in a One-Dimensional Bar, Cynthia Gangi and Sameer Shah

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Tilings of Low-Genus Surfaces by Quadrilaterals, John Gregoire and Isabel Averil

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Fixed Point and Two-cycles of the Discrete Logarithm, Joshua Holden

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Pigeon-Holing Monodromy Groups, Niles G. Johnson

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Hyperbolic Billiard Paths, Rebecca Lehman and Chad White

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The order at 2 of the odd-partition function, Chris Mehelich

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Reconstruction of Cracks with Unknown Transmission Condition from Boundary Data, F Ronald Ogborne III and Melissa E. Vellela

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The Galois Correspondence for Branched Covering Spaces and its Relationship to Hecke Algebras, Matthew Ong

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Fast Reconstruction of Cracks Using Boundary Measurements, Nicholas A. Trainor and Rachel M. Krieger

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A Restricted Partition Function Modulo 3, Naomi Utgof

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Applications of Graph Theory to Separability, Stephen Young

Submissions from 2001

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Separability of Tilings, Nicholas Baeth, Jason Deblois, and Lisa Powell

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Triangular Surface Tiling Groups for Low Genus, Sean A. Broughton, Robert M. Dirks, Maria Sloughter, and C. Ryan Vinroot

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Lengths of Systoles on Tileable Hyperbolic Surfaces, Kevin Woods

Submissions from 2000

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Ramanujan-Like Congreuences of the Distinct Partition Function, Ian Blumenfeld, Christi Carlstead, Mimi Cukier, and Wesley Terway

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Solvability of a Parabolic Boundary Value Problem with Internal Jump Condition, Kurt M. Bryan and Lester Caudill

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Singular solutions to a nonlinear elliptic boundary value problem originating from corrosion modeling, Kurt M. Bryan and Michael Vogelius

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Lengths of Geodesics on Klein’s Quartic Curve, Ryan Derby-Talbot

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Quest for Tilings on Riemann Surfaces of Genus Six and Seven, Robert Dirks and Maria Sloughter

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Cwatset Isomorphism and its Consequences, Carolyn M. Girod, Matthew Lipinski, Joseph R. Mileti, and Jennifer R. Paulhus

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Classification of Cwatsets Through Order 23, Ben Goodwin and Dennis Lin

Submissions from 1999

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Tilings which Split a Mirror, Jim Belk

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Constructing Kaleidscopic Tiling Polygons in the Hyperbolic Plane, Sean A. Broughton

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Splitting Tiled Surfaces with Abelian Conformal Tiling Group, Sean A. Broughton

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Divisible Tilings in the Hyperbolic Plane, Sean A. Broughton, Dawn M. Haney, Lori T. McKeough, and Brandy M. Smith

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Elementary Inversion of the Laplace Transform, Kurt M. Bryan

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Automorphic Subsets of the n-dimensional Cube are Translations of Cwatsets, Matthew Lepinski