Mathematical Sciences Technical Report Series (MSTR)
The Rose-Hulman Mathematical Sciences Technical Report Series is a preprint
and informal technical report publication series for faculty and student
research in the Mathematics Department at Rose-Hulman. All reports may be downloaded by clicking on the pdf button 
in a report entry. Please note that the earlier files are scanned from hard copies and tend to be larger and slightly poorer quality. Additional Rose publication pages are our REU
Publications page and the Rose
Undergraduate Mathematics Journal. Rose Hulman student publications are on the Student Publications Page.
2012
MSTR 12-01
Fundamentals of Protein Structure Alignment, A. Holder, M. Brandt, and Y. Shibberu
MSTR 12-02
Robust Analysis of Metabolic Pathways, Emily Gruber, Amy Ko, Michael MacGillivray, and Miranda Sawyer
2011
MSTR 11-01
The Elliptic Curve Discrete Logarithm and Functional Graphs, C. Evans
MSTR 11-02
Structure and Randomness of the Discrete Lambert Map, J.Chen and M. Lotts
MSTR 11-03
Cloaking Against Thermal Imaging, Maple So
MSTR 11-04
Nondestructive Electrothermal Detection of Corrosion, B. Ambeau, H. Enniss, and S. Schnake
MSTR 11-05
The Square Discrete Exponentiation Map, A. Wood
2010
MSTR 10-01
Fast Protein Structure Alignment, Yosi Shibberu, Allen Holder, and Kyla Lutz
MSTR 10-02
Parametric LP Analysis, A. Holder
MSTR 10-03
Intrinsic Contact Geometry of Protein Dynamics, Y. Shibberu, M. E. Brandt, and D. R. Cooper
MSTR 10-04
Discrete Logarithms on Elliptic Curves, Aaron Blumenfeld
MSTR 10-05
Structure and Statistics of the Self-Power Map, Matthew Friedrichsen, Brian Larson, and Emily McDowell
MSTR 10-06
A Spectral Approach to Protein Structure Alignment, Yosi Shibberu, Allen Holder
MSTR 10-07
G-lattices for an Unrooted Perfect Phylogeny, Monica Grigg
MSTR 10-08
Bilinear Programming and Protein Structure Alignment, J. Cain, D. Kamenetsky, N. Lavine
MSTR 10-09
Computational Biology, H. Greenberg, A. Holder
2009
MSTR 09-01
Flattening a Cone, S. Allen Broughton
MSTR 09-02
A Decomposition of the Pure Parsimony Problem, A. Holder, T. Langley
MSTR 09-03
A clustering approach for optimizing beam angles in IMRT planning, Gino J. Lim, Allen Holder, Josh Reese
MSTR 09-04
Solving the p-Median Problem with Insights from Discrete Vector Quantization, A. Holder, G. Lim, and J. Reese
MSTR 09-05
Operations Research Methods for Optimization in Radiation Oncology, M. Ehrgott and A. Holder
MSTR 09-06
Structural Properties of Power Digraphs Modulo n, Joseph Kramer-Miller
MSTR 09-07
Discrete Logarithm over Composite Moduli, Marcus L. Mace
MSTR 09-08
The Digraph of the Square Mapping on Elliptic Curves, Katrina Glaeser
MSTR 09-09
Statistical Investigation of Structure in the Discrete Logarithm, Andrew Hoffman
MSTR 09-10
Anti-cloaking: The Mathematics of Disguise, T. Anderson amd B. Phillips
MSTR 09-11
Electrical Impedance Imaging of Corrosion on a Partially Accessible 2-Dimensional Region, C. Hoang and K. Osenbach
2008
MSTR 08-01
Do the Coefficients of a Modular Form Really \"Encode Arithmetic Data\"?, Ken McMurdy and Hari Ravindran
MSTR 08-02
Optimization in the Undergraduate Curriculum, Allen G. Holder
MSTR 08-03
Radiotherapy Optimal Design: An Academic Radiotherapy Treatment Design System, R. Acosta, W. Brick, A. Hanna, A. Holder, D. Lara, G. McQuilen , D. Nevin, P. Uhlig , B. Salter
MSTR 08-04
Determining the Shape of a Resistor Grid, E. Chiew and V. Selhorst-Jones
MSTR 08-05
Electrothermal Imaging in One and Two Dimensions, M. Janus and D. Kibbling
2007
MSTR 07-01
Isomorphisms of Elliptic Curves over Extensions of Finite Fields, Matthew Niemerg
MSTR 07-02
The Discrete Logarithm Problem and Ternary Functional Graphs, Max F. Brugger, Christina A. Frederick
MSTR 07-03
Utilizing Thermal Testing for Recovering, J. Preciado and T. Werne
2006
MSTR 06-01
Non-Destructive Recovery of Voids within a Three Dimensional Domain using Thermal Imaging, Victor Oyeyemi and Kurt Bryan
MSTR 06-02
Thermal Imaging to Recover a Defect in Three Dimensional Objects, Breanne Baker
2005
MSTR 05-01
Thermal Imaging of Circular Inclusions within a Two-Dimensional Region, Shannon Talbot and Hilary Spring
MSTR 05-02
Time Dependent Thermal Imaging of Circular Inclusions, Donald Brown and Mark Hubethal
MSTR 05-03
Big Cwatsets and Hamming Codes, Mathew Davis, Tom Langley, and Norah Mazel
MSTR 05-04
On the Action of Weight Preserving Sets, Matthew Berger
MSTR 05-05
Foundations of Generalized Cwatsets, Jesse Beder
2004
MSTR 04-01
Reconstruction of an Unknown Boundary Portion From Cauchy Data In N-dimensions, Kurt Bryan and Lester Caudill
MSTR 04-02
Determining the Length of a One-Dimensional Bar, Natalya Yarlikina and Holly Walrath
MSTR 04-03
Non-Destructive Testing of Thermal Resistances for a Single Inclusion in a 2-Dimensional Domain, Nicholas Christian and Mathew A. Johnson
MSTR 04-04
Reconstruction of Partially Conductive Cracks using Boundary Data, David McCune and Janine Haugh
MSTR 04-05
The Birational Isomorphism Types of Smooth Real Elliptic Curves, S.A. Broughton
2003
MSTR 03-01
When Abelian Groups Split, Robert C. Rhoades and Rachel L. Thomas
2002
MSTR 02-01
A Restricted Partition Function Modulo 3, Naomi Utgoff
MSTR 02-02
Hyperbolic Billiard Paths, Rebecca Lehman and Chad White
MSTR 02-04
Congruences of Restricted Partition Functions, Matt Culek and Amanda Knecht
MSTR 02-05
The order at 2 of the odd-partition function, Chris Mihelich
MSTR 02-07
Pigeon-Holing Monodromy Groups, Niles G. Johnson
MSTR 02-08
Galois Correspondence for Branched Covering Spaces and its Relationship to Hecke Algebras, Matthew Ong
MSTR 02-09
Applications of Graph Theory to Separability, Stephen Young
MSTR 02-10
Characterizing a Defect in a One-Dimensional Bar, Cynthia Gangi and Sameer Shah
MSTR 02-11
A Review of Selected Works on Crack Indentification, Kurt Bryan and Michael S. Vogelius
MSTR 02-12
Fixed Point and Two-cycles of the Discrete Logarithm, Joshua B. Holden
MSTR 02-13
Tilings of Low-Genus Surfaces by Quadrilaterals, Isabel Averill and John Gregoire
MSTR 02-14
Fast Reconstruction of Cracks Using Boundary Measurements, Rachel M. Krieger and Nicholas A. Trainor
MSTR 02-15
Reconstruction of Cracks with Unknown Transmission Condition from Boundary Data, F. Ronald Ogborne III and Melissa E. Vellela
2001
MSTR 01-01
Triangular Surface Tiling Groups for Low Genus, S. Allen Broughton, Robert M. Dirks, Maria Sloughter, C. Ryan Vinroot
2000
MSTR 00-01
Cwatset Isomorphism and its Consequences, Carolyn M. Girod, Matthew Lepinski, Joseph R. Mileti, Jennifer R. Paulhus
MSTR 00-02
Singular solutions to a nonlinear elliptic boundary value problem originating from corrosion modeling, Kurt Bryan and Michael Vogelius
MSTR 00-03
Lengths of Geodesics on Klein’s Quartic Curve, Ryan Derby-Talbot
MSTR 00-04
Solvability of a Parabolic Boundary Value Problem with Internal Jump Condition , Kurt Bryan
MSTR 00-05
Classification of Cwatsets Through Order 23, Ben Goodwin and Dennis Lin
MSTR 00-08
Quest for Tilings on Riemann Surfaces of Genus Six and Seven, Robert M. Dirks and Maria T. Sloughter
MSTR 00-09
Lengths of Systoles on Tileable Hyperbolic Surfaces, Kevin Woods
MSTR 00-10
Separability of Tilings, Nick Baeth, Jason Deblois and Lisa Powell
MSTR 00-11
Ramanujan-Like Congreuences of the Distinct Partition Function, Ian Blumenfeld, Christi Carlstead, Mimi Cukier, Wesley Terwey
1999
MSTR 99-01
Automorphic Subsets of The n-Dimensional Cube are Translations of Cwatsets, Matt Lepinski
MSTR 99-02
Tilings Which Split at a Mirror, Jim Belk
MSTR 99-03
Splitting Tiled Surfaces with Abelian Conformal Tiling Group, S. Allen Broughton
MSTR 99-04
Divisible Tilings in the Hyperbolic Plane, S. Allen Broughton, Dawn M. Haney, Lori T. McKeough and Brandy M. Smith
1998
MSTR 98-01
Stability and Reconstruction for an Inverse Problem for the Heat Equations, Kurt Bryan
MSTR 98-02
Symmetry and Tiling Groups for Genus 4 and 5, C. Ryan Vinroot
MSTR 98-03
Maximally Disjoint Solutions of the Set Covering Problem, Pete L. Hammer and David J. Rader, Jr.
MSTR 98-04
Quadrilaterals Subdivided by Triangles in the Hyperbolic Plane, Dawn M. Haney and Lori T. McKeough
MSTR 98-05
A Messy, but Instructive, Case Study in Design of Experiments, Belva Cooley, LeRoy Franklin, & Gary Elrod
MSTR 98-06
Constructing Kaleidscopic Tiling Polygons in the Hyperbolic Plane, S. Allen Broughton
MSTR 98-07
Elementary Inversion of the Laplace Transform, Kurt Bryan
1997
MSTR 97-01
Generalized Conjugacy Classes, Pramod N. Achar
MSTR 97-02
Barry Balof, Eric Farmer, Jamie Kawabata, Barry Balof, Eric Farmer, Jamie Kawabata
MSTR 97-03
Oval Intersections in Tilings on Surfaces, Dennis A. Schmidt
MSTR 97-04
Counting Ovals on a Symmetric Riemann Surface, S. Allen Broughton
1996
MSTR 96-01
Effective Behavior of Clusters of Microscopic Cracks Inside a Homogeneous Conductor, Kurt Bryan and M. Vogelius
MSTR 96-02
Divergence Diagrams: More than Cantor Dust Lies at the Edge of Feigenbaum Diagrams, Aaron Klebanoff and John Rickert
MSTR 96-03
CWATSETS: Weights, Cardinalities, and Generalizations, Rick Mohr
MSTR 96-04
Uniqueness for a Boundary Identification Problem in Thermal Imaging, Kurt Bryan and Lester F. Caudill, Jr.
MSTR 96-05
A Stronger Triangle Inequality, Herb Bailey
1995
MSTR 95-01
Conjugacy Classes of Triple Products in Finite Groups , Kevin Hutson and Emily Salvo
MSTR 95-02
An Elementary Proof that Finite Groups Lack Unique Product Structures , Matthew Cushman
MSTR 95-03
A Variable Time-Step Midpoint Scheme for Hamiltonian Systems, Yosi Shibberu
MSTR 95-04
Population Genetics: Estimation of Distributions Through Systems of Non-Linear Differential Equations, Nacer E. Abrouk and Robert J. Lopez
MSTR 95-05
Symmetries of Accola-Maclachan and Kulkarni Surfaces, S.A. Broughton, E. Bujalance, A.F. Costa, J.M. Gamboa, G. Gromadzki
MSTR 95-06
Rectangular Groups, Nick Fiala, Crystal Hanscom, Patrick Keenan, and Tung Tran
1994
MSTR 94-01
Finite Groups Can Be Arbitrarily Hamiltonian, Stephen Ahearn and Mark Huber
MSTR 94-02
Computing Order Classes of Triple Products in Finite Groups, Scott Annin and Jennifer Ziebarth
MSTR 94-03
Square Roots of Finite Groups, Kashi Abhyankar and Daniel Grossman
MSTR 94-04
Robot Space Coordinate Representation of Objects in Euclidean Space, Justin Gallagher
MSTR 94-05
An Inverse Problem in Thermal Imaging, Kurt Bryan and Lester Caudill
MSTR 94-06
Square Roots of Finite Groups -- II, Matthew Devos, David McAdams and Rebecca Rapoport
MSTR 94-07
Distinct Products of Triples in Finite Groups, Curtis Z. Mitchell
1993
MSTR 93-01
When is the Number of p-Subgroups of a Group Satisfying a Property Congruent to 1 mod p?, Jason Fulman and Jeff Vanderkam
MSTR 93-02
Hypergraph Representations and Orders of Cwatsets, Julie Kerr
MSTR 93-03
Tracking Plasma Lactate Concentration In Vivo With a Catheter-Tip L-Lactate Sensor, N. Abrouk, B. Weinzapfel, M. Ball, L. Waite and S. Lim
MSTR 93-04
Bounds on Squares of Two-Sets, Dan Slilaty and Jeff Vanderkam
MSTR 93-05
Time-Discretization of Hamiltonian Dynamical Systems, Yosi Shibberu
MSTR 93-06
Approximation Methods for Singular Diffusions Arising In Genetics, Nacer Abrouk
MSTR 93-07
Reconstruction of Multiple Cracks From Experimental Electrostatic Boundary Measurements, Kurt Bryan, Valdis Liepa and Michael Vogelius
1992
MSTR 92-01
Data on Four-Rewriteabliity in Finite Groups, Sharon A. Kineke
MSTR 92-02
Rewriteability, Commutators and Fundamental n-Rewritings, Lawren Smithline
MSTR 92-03
A4-Rewriteability, Eric Wepsic, Kevin O\'Bryant and Lawren Smithline
MSTR 92-04
Some Facts About Cycels and Tidy Groups, K. O\'Bryant, D. Patrick, L. Smithline and E. Wepsic
MSTR 92-05
Counting Nilpotent Pairs in Finite Groups: Some Conjectures, H. Dubose-Schmidt, M. D. Galloy and D. L. Wilson
MSTR 92-06
Some Upper Bounds for Commutativity and Cyclicity Measures in Finite Groups, D. Patrick, C. Sugar and E. Wepsic
MSTR 92-07
The 2/3 Bound for Rewriteable n-Tuples, L.M. Smithline and C.A. Sugar
MSTR 92-08
Counting Nilpotent Pairs, J. Fulman, M. Galloy and J. Vanderkam
MSTR 92-09
Divisibility By |G| for Powers of Ordered k- Sets, Jeffery M. Vanderkam
MSTR 92-10
Cubing Ordered 2-Sets, Jeffery M. Vanderkam
MSTR 92-11
Simultaneous Rational Approximations and Related Diophantine Equations, John Rickert
MSTR 92-12
Vertex Coloring for Weighted Graphs With Application to Timetabling, Lynn Kiaer and Jay Yellen
1991
MSTR 91-01
Finite Abelian Groups in Which the Probability of an Automorphism Fixing an Element is Large, Gary J. Sherman
MSTR 91-02
An Upper Bound for 3-Rewriteability in Finite Groups, Jordan Ellenberg
MSTR 91-03
Integer Triangles With Rational Medians, Bart Goddard and Dale Mesner
MSTR 91-04
Counting Centralizers in Finite Groups, Sarah Marie Belcastro and Gary J. Sherman
MSTR 91-05
Cyclicizers, Centralizers and Normalizers, David Patrick and Eric Wepsic
MSTR 91-06
More Upper Bounds for the 3-Rewriteability of Non-3-Rewriteable Groups, Eric Wepsic
MSTR 91-07
Undergraduates, The Right Questions and Cayley Produce Results, Gary J. Sherman
1990
MSTR 90-01
Maximal Order Three-Rewriteable Subgroups of Symmetric Groups, John T. O\'Bryan
MSTR 90-02
A Numerical Approach to Rewriteability in Finite Groups, J. L. Leavitt, G. J. Sherman and M. E. Walker
MSTR 90-03
Fibonacci Sequences in Finite Groups, Steven W. Knox
MSTR 90-04
Sets of Typical Subsamples, Joel E. Atkins and Gary J. Sherman
MSTR 90-05
How Hamiltonian Can a Finite Group Be?, G. J. Sherman, T. J. Tucker and M. E. Walker
MSTR 90-06
Rewriteable Sequencings of Groups, Jeanne Nielsen
MSTR 90-07
Characterization of Joint Density by Conditional Densities, A. K. Gupta and T. Varga
MSTR 90-08
Dihedral Rewriteability, Cheryl P. Grood
MSTR 90-09
Some Facts About Cwat-Sets, Martin Wattenberg
MSTR 90-10
Characterization of Matrix Variate Normal Distributions, A. K. Gupta and T. Varga
