RoseHulman NSFREU 
Publications and Dissemination Sites
RoseHulman NSFREU
Dissemination Sites
RoseHulman NSFREU Technical Report
Series (MSTR)*
* part of the
RoseHulman
Mathematical Sciences Technical Report Series (MSTR).
Copies available from the MSTR home page if not linked below.
2012
MSTR 1202 Robust Analysis of Metabolic
Pathways, Emily Gruber, Amy Ko, Michael MacGillivray,
and Miranda Sawyer
MSTR 1203 Thermal Detection of Inaccessible
Corrosion, Matthew Charnley and Andrew Rzeznik
MSTR 1204 Determining Properties of Metal by
Analyzing Changes in Impedance, Chase Mathison and
Laura Booton
2011
MSTR 1101 The Elliptic Curve Discrete Logarithm
and Functional Graphs, Christopher Evans
MSTR 1102 Structure and Randomness of the
Discrete Lambert Map,
JingJing Chen and Mark Lotts
MSTR 1103 Cloaking Against Thermal
Imaging, Maple
So
MSTR 1104 Nondestructive Electrothermal
Detection of Corrosion, Brittany Ambeau, Harris Enniss, and Stefan Schnake
MSTR 1105 The Square Discrete Exponentiation
Map, Alex Wood
2010
MSTR 1004 Discrete Logarithms on Elliptic
Curves, Aaron Blumenfeld
MSTR 1005 Structure and Statistics of the
SelfPower Map, Matthew Friedrichsen, Brian Larson,
and Emily McDowell
MSTR 1007 Glattices for an Unrooted Perfect
Phylogeny, Monica Grigg
MSTR 1008 Bilinear Programming and Protein
Structure Alignment, J. Cain, D. Kamenetsky, N. Lavine
2009
MSTR 0906 Structural Properties of Power
Digraphs Modulo n,
Joseph KramerMiller
MSTR 0907 Discrete Logarithm over Composite
Moduli, Marcus L. Mace
MSTR 0908 The Digraph of the Square Mapping on
Elliptic Curves, Katrina Glaeser
MSTR 0909 Statistical Investigation of
Structure in the Discrete Logarithm, Andrew Hoffman
2007
MSTR 0701 Isomorphisms of Elliptic Curves over
Extensions of Finite Fields, Matthew Niemerg
MSTR 0702 The Discrete Logarithm Problem and
Ternary Functional Graphs, Max F. Brugger, Christina
A. Frederick
2006
MSTR 0601 NonDestructive Recovery of Voids
within a Three Dimensional Domain using Thermal Imaging,
Victor Oyeyemi and Kurt Bryan
MSTR 0602 Thermal Imaging to Recover a Defect
in Three Dimensional Objects, Breanne Baker
2005
MSTR 0501 TimeDependent Thermal Imaging of
Circular Inclusions, Donald Brown and Mark Hubenthal
MSTR 0502 Thermal Imaging of Circular
Inclusions within a TwoDimensional Region, Hilary Spring
and Shannon Talbott
2004
MSTR 0402 Determining the Length of a
OneDimensional Bar, Natalya Yarlikina and Holly Walrath
MSTR 0403 NonDestructive Testing of Thermal
Resistances for a Single Inclusion In a 2Dimensional Domain, Nicholas
Christian and Mathew A. Johnson
MSTR 0404 Reconstruction of Partially
Conductive Cracks using Boundary Data, David McCune and
Janine Haugh
2003
MSTR 0301 When Abelian Groups Split, Robert
C. Rhoades, Rachel L. Thomas
2002
MSTR 0202 Hyperbolic Billiard Paths, Rebecca
Lehman, Chad White
MSTR 0207 PigeonHoling Monodromy Groups:
Niles G. Johnson
MSTR 0208 The Galois Correspondence for
Branched Covering Spaces and Its Relationship to Hecke Algebras:
Matt Ong
MSTR 0209 Applications of Graph Theory to
Separability: Stepehen Young
MSTR 0210 Characterizing a Defect in a
OneDimensional Bar: Cynthia Gangi and Sameer Shah
MSTR 0213 Tilings of LowGenus Surfaces by
Quadrilaterals: John Gregoire and Isabel Averill
MSTR 0214 Fast Reconstruction of
Cracks Using Boundary Measurements, Rachel M. Krieger and
Nic A. Trainor
MSTR 0215 Reconstruction of Cracks
with Unknown Transmission Condition from Boundary Data, F.
Ron Ogborne and Melissa E. Vellala.
2001
MSTR 0101 Triangular Surface Tiling Groups
for Low Genus:
S. Allen Broughton, Robert M. Dirks, Maria T.
Sloughter, C. Ryan Vinroot
2000
MSTR 0001 Cwatset Isomorphism and its Consequences:
Carolyn M. Girod, Matthew Lepinski, Joseph R. Mileti, Jennifer
R. Paulhus
MSTR 0003 Lengths of Geodesics on Klein's Quartic
Curve: Ryan DerbyTalbot
MSTR 0005 Classification of Cwatsets Through
Order 23, Dennis Lin, Ben Goodwin
MSTR 0008 Quest for Tilings on Riemann Surfaces
of Genus Six and Seven: Robert M. Dirks and Maria T.
Sloughter
MSTR 0009 Lengths of Systoles on Tileable
Hyperbolic Surfaces: Kevin Woods
MSTR 0010 Separability of Tilings: Nick
Baeth, Jason Deblois, and Lisa Powell
1999
MSTR 9901 Automorphic Subsets of the
nDimensional
Cube are Translations of Cwatsets:
Matthew Lepinski
MSTR 9902 Tilings Which Split at a Mirror: Jim
Belk
MSTR 9904 Divisible Tilings in the Hyperbolic
Plane: S. Allen Broughton, Dawn M. Haney, Lori T. McKeough
and
Brandy M. Smith
1998
MSTR 9802 Symmetry and Tiling Groups for Genus 4 and 5:
C.
Ryan Vinroot
MSTR 9804 Quadrilaterals Subdivided by Triangles in the
Hyperbolic Plane: Dawn M. Haney and Lori T. McKeough
1997
MSTR 9701 Generalized Conjugacy Classes:
Pramod N.
Achar
MSTR 9702 The Link between Scrambling Numbers and
Derangements: Barry Balof, Eric Farmer, Jamie Kawabata
MSTR 9703 Ovals Intersections in Tilings on Surfaces:
Dennis A. Schmidt
1996
MSTR 9603 CWATSETS: Weights, Cardinalities, and
generalizations
Richard Mohr
1995
MSTR 9501 Conjugacy Classes of Triple Products in Finite
Groups:
Kevin Hutson and Emily Salvo
MSTR 9502 An Elementary Proof That Finite Groups Lack
Unique Product Structures: Matthew Cushman
MSTR 9506 Rectangular Groups: N. Fiala, C. Hanscom,
P. Keenan and T. Tran
1994
MSTR 9401 Finite Groups Can Be Arbitrarily Hamiltonian:
Stephen
Ahearn and Mark Huber
MSTR 9402 Computing Order Classes of Triple Products in
Finite Groups: Scott Annin and Jennifer Ziebarth
MSTR 9403 Square Roots of Finite Groups: Kashi
Abhyankar and Daniel Grossman
MSTR 9406 Square Roots of Finite Groups  II: Matthew
Devos, David McAdams and Rebecca Rapoport
MSTR 9407 Distinct Products of Triples in Finite
Groups: Curtis Z. Mitchell
1993
MSTR 9301 When is the Number of
pSubgroups of a
Group Satisfying a Property Congruent to 1 Mod
p?:
Jason
Fulman and Jeff Vanderkam
MSTR 9302 Hypergraph Representations and Orders of
Cwatsets: Julie Kerr
MSTR 9304 Bounds on Squares of TwoSets: Dan
Slilaty and Jeff Vanderkam
1992
MSTR 9201 Data on FourRewriteability in Finite Groups:
Sharon
A. Kineke
MSTR 9202 Rewriteability, Commutators and Fundamental nRewritings:
Lawren Smithline
MSTR 9203 A4Rewriteability: Eric Wepsic,
Kevin O'Bryant and Lawren Smithline
MSTR 9204 Some Facts About Cycles and Tidy Groups: K.
O'Bryant, D. Patrick, L. Smithline and E. Wepsic
MSTR 9205 Counting Nilpotent Pairs in Finite Groups:
Some Conjectures: H. DuboseSchmidt, M. D. Galloy and D. L.
Wilson
MSTR 9206 Some Upper Bounds for Commutativity and
Cyclicity Measures in Finite Groups: D. Patrick, C. Sugar
and E. Wepsic
MSTR 9207 The 2/3 Bound for Rewriteable nTuples:
L. M. Smithline and C.A. Sugar
MSTR 9208 Counting Nilpotent Pairs: J. Fulman, M.
Galloy and J. Vanderkam
MSTR 9209 Divisibility By G for Powers of
Ordered kSets: Jeffery M. Vanderkam
MSTR 9210 Cubing Ordered 2Sets: Jeffery M.
Vanderkam
1991
MSTR 9102 An Upper Bound for 3Rewriteability in Finite
Groups:
Jordan Ellenberg
MSTR 9104 Counting Centralizers in Finite Groups: Sarah
Marie Belcastro and Gary J. Sherman
MSTR 9105 Cyclicizers, Centralizers and Normalizers: David
Patrick and Eric Wepsic
MSTR 9106 More Upper Bounds for the 3Rewriteability of
Non3Rewriteable Groups: Eric Wepsic
1990
MSTR 9001 Maximal Order ThreeRewriteable Subgroups of
Symmetric Groups:
John T. O'Bryan
MSTR 9002 A Numerical Approach to Rewriteability in
Finite Groups: J. L. Leavitt, G. J. Sherman and M. E. Walker
MSTR 9003 Fibonacci Sequences in Finite Groups: Steven
W. Knox
MSTR 9004 Sets of Typical Subsamples: Joel E.
Atkins and Gary J. Sherman
MSTR 9005 How Hamiltonian Can a Finite Group Be?: G.
J. Sherman, T. J. Tucker and M. E. Walker
MSTR 9006 Rewriteable Sequencings of Groups: Jeanne
Nielsen
MSTR 9008 Dihedral Rewriteablility: Cheryl P. Grood
MSTR 9009 Some Facts About CwatSets: Martin
Wattenberg
RoseHulman NSFREU Refereed
Publications
Please request copies of papers from the authors.
 Atkins, J.E. and G.J. Sherman, Sets of Typical
Subsamples, Stat. and Prob. Letters, 14 (1992)115117
 Belcastro, S.M. and G.J. Sherman, Counting
Centralizers in Finite Groups, Mathematics Magazine, 67
(1994),366374.
 Ellenberg, J.S., G.J. Sherman, I.M. Smithline, C.A.
Sugar, and Eric Wepsic, The Combinatorics of
Rewriteability in Finite Groups, Proc of Ohio State Denison
Conference in Memory of Hans Zassenhaus, World Scientific
(1993), 250261.
 Grood, C., Dihedral Rewriteability, Journal of
Undergraduate Mathematics, appeared.
 Knox, S.W., Fibonacci Sequences in Finite Groups,
Fibonacci Quarterly, 30:116120.
 Nielsen, J., Rewriteable Sequences of Finite Groups,
Ars Combinatoria, appeared.
 Leavitt, J.L., G.J. Sherman, and M.E. Walker, Rewriteability
in Finite Groups, Amer Math Monthly, 99 (1992) 446452.
 O'Bryan, J.T. and G.J. Sherman, Undergraduates,
CAYLEY and Mathematics, PRIMUS, 2 (1992) 289306.
 Patrick, D.M., G.J. Sherman, C.A. Sugar, and E.K.
Wepsic, What's the Probability of Generating a Cyclic
Subgroup? Irish Math. Soc. Bul., 31(1993),2227.
 Sherman G.J., T.J. Tucker, and M.E. Walker, How
Hamiltonian can a Finite Group Be? Ach.Math.(Basel),
57 (1991) 15.
 Sherman, G.J. and M. Wattenberg, Introducing........Cwatsets!,
Mathematics Magazine, 67(1994) 109117.
 Annin, S.A., Sherman, G.J., and Ziebarth J.J. Research
Questions for Undergraduates on Triple Products in Finite
Groups, PRIMUS, 6(1996), 17
 Mitchell C.Z. and Sherman, G.J., Counting Products
of Triples in Finite Groups, Congressus Numerantium,
102(1995) 129134
 Ahearn, S., M. Huber, G.J. Sherman, Finite Groups
can be Arbitrarily Hamiltonian, Communications in Algebra,
27(1999) 10131016.
 Fulman, J., M. Galloy, G.J. Sherman, J. Vanderkam, Counting
Nilpotent Pairs in Finite Groups, Ars Combinatoria,
54(2000) 161178
 Nicholas Christian and Mathew Johnson
NonDestructive Testing of Thermal Resistances for a Single
Inclusion in a TwoDimensional Domain , RHIT Udg.
Math. J., 6 #1 (2005) (electronic).
 S. Allen Broughton, Dawn M. Haney, Lori T. McKeough and
Brandy M. Smith Divisible Tilings in the Hyperbolic
Plane, New York Journal of Mathematics 6
(2000), 237283. (link to journal,
link to
paper)
 Kurt Bryan, Ron Ogborne, and Melissa Vellela, Reconstruction
of Cracks with Unknown Transmission Condition from Boundary
Data; Inverse Problems 21 (2005), p. 2136.
 Kurt Bryan, Rachel Krieger, and Nic Trainor,
Imaging of Multiple Linear Cracks Using Impedance Data; J. of
Computational and Applied Math, March 2007, 200(1), p.
388407.
 Kurt Bryan, Janine Haugh, and David McCune, Fast
Imaging of Partially Conductive Linear Cracks Using Impedance
Data; Inverse Problems 22 (2005), p. 13371358.
 Jesse Beder, Foundations of Generalized
Cwatsets; Ars Combinatoria 92
(2009), p. 193212.
 Max F. Brugger and
Christina A. Frederick, The Discrete Logarithm
Problem and Ternary Functional Graphs, RHIT
Udg. Math. J., 8 #2 (2007) (electronic).
 Andrew Hoffman,
Statistical Investigation of Structure in the Discrete
Logarithm, RHIT
Udg. Math. J., 10 #2 (2009) (electronic).
 Matthew Friedrichsen, Brian Larson, and Emily McDowell,
Structure and Statistics of the SelfPower Map,
RHIT
Udg. Math. J., 11 #2 (2010) (electronic).
 Aaron Blumenfeld, Discrete Logarithms on Elliptic
Curves, RHIT
Udg. Math. J., 12 #1 (2010) (electronic).

JingJing Chen and Mark Lotts, Structure
and Randomness of the Discrete Lambert Map,
RHIT Udg. Math. J., 13 #1 (2012)
(electronic).
Other Articles
Publications by nonREU undergraduates resulting from REU work and
in consultation with REU faculty mentors.
 Cushman, M., An Elementary Proof that Finite Groups
Lack Unique Product Structures, Journal of Algebra 180 (1996), p. 206207.