Rose-Hulman NSF-REU -
Publications and Dissemination Sites
Rose-Hulman NSF-REU
Dissemination Sites
Rose-Hulman NSF-REU Technical Report
Series (MSTR)*
* part of the
Rose-Hulman
Mathematical Sciences Technical Report Series (MSTR).
Copies available from the MSTR home page if not linked below.
2012
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, Christopher Evans
MSTR 11-02 Structure and Randomness of the
Discrete Lambert Map,
JingJing Chen and Mark Lotts
MSTR 11-03 Cloaking Against Thermal
Imaging, Maple
So
MSTR 11-04 Nondestructive Electrothermal
Detection of Corrosion, Brittany Ambeau, Harris Enniss, and Stefan Schnake
MSTR 11-05 The Square Discrete Exponentiation
Map, Alex Wood
2010
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 10-07 G-lattices for an Unrooted Perfect
Phylogeny, Monica Grigg
MSTR 10-08 Bilinear Programming and Protein
Structure Alignment, J. Cain, D. Kamenetsky, N. Lavine
2009
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
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
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 Time-Dependent Thermal Imaging of
Circular Inclusions, Donald Brown and Mark Hubenthal
MSTR 05-02 Thermal Imaging of Circular
Inclusions within a Two-Dimensional Region, Hilary Spring
and Shannon Talbott
2004
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
2003
MSTR 03-01 When Abelian Groups Split, Robert
C. Rhoades, Rachel L. Thomas
2002
MSTR 02-02 Hyperbolic Billiard Paths, Rebecca
Lehman, Chad White
MSTR 02-07 Pigeon-Holing Monodromy Groups:
Niles G. Johnson
MSTR 02-08 The Galois Correspondence for
Branched Covering Spaces and Its Relationship to Hecke Algebras:
Matt Ong
MSTR 02-09 Applications of Graph Theory to
Separability: Stepehen Young
MSTR 02-10 Characterizing a Defect in a
One-Dimensional Bar: Cynthia Gangi and Sameer Shah
MSTR 02-13 Tilings of Low-Genus Surfaces by
Quadrilaterals: John Gregoire and Isabel Averill
MSTR 02-14 Fast Reconstruction of
Cracks Using Boundary Measurements, Rachel M. Krieger and
Nic A. Trainor
MSTR 02-15 Reconstruction of Cracks
with Unknown Transmission Condition from Boundary Data, F.
Ron Ogborne and Melissa E. Vellala.
2001
MSTR 01-01 Triangular Surface Tiling Groups
for Low Genus:
S. Allen Broughton, Robert M. Dirks, Maria T.
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 00-03 Lengths of Geodesics on Klein's Quartic
Curve: Ryan Derby-Talbot
MSTR 00-05 Classification of Cwatsets Through
Order 23, Dennis Lin, Ben Goodwin
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
1999
MSTR 99-01 Automorphic Subsets of the
n-Dimensional
Cube are Translations of Cwatsets:
Matthew Lepinski
MSTR 99-02 Tilings Which Split at a Mirror: Jim
Belk
MSTR 99-04 Divisible Tilings in the Hyperbolic
Plane: S. Allen Broughton, Dawn M. Haney, Lori T. McKeough
and
Brandy M. Smith
1998
MSTR 98-02 Symmetry and Tiling Groups for Genus 4 and 5:
C.
Ryan Vinroot
MSTR 98-04 Quadrilaterals Subdivided by Triangles in the
Hyperbolic Plane: Dawn M. Haney and Lori T. McKeough
1997
MSTR 97-01 Generalized Conjugacy Classes:
Pramod N.
Achar
MSTR 97-02 The Link between Scrambling Numbers and
Derangements: Barry Balof, Eric Farmer, Jamie Kawabata
MSTR 97-03 Ovals Intersections in Tilings on Surfaces:
Dennis A. Schmidt
1996
MSTR 96-03 CWATSETS: Weights, Cardinalities, and
generalizations
Richard Mohr
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 95-06 Rectangular Groups: N. Fiala, C. Hanscom,
P. Keenan and T. 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 94-06 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 93-04 Bounds on Squares of Two-Sets: Dan
Slilaty and Jeff Vanderkam
1992
MSTR 92-01 Data on Four-Rewriteability 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 Cycles 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
1991
MSTR 91-02 An Upper Bound for 3-Rewriteability in Finite
Groups:
Jordan Ellenberg
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
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 90-08 Dihedral Rewriteablility: Cheryl P. Grood
MSTR 90-09 Some Facts About Cwat-Sets: Martin
Wattenberg
Rose-Hulman NSF-REU 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)115-117
- Belcastro, S.M. and G.J. Sherman, Counting
Centralizers in Finite Groups, Mathematics Magazine, 67
(1994),366-374.
- 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), 250-261.
- Grood, C., Dihedral Rewriteability, Journal of
Undergraduate Mathematics, appeared.
- Knox, S.W., Fibonacci Sequences in Finite Groups,
Fibonacci Quarterly, 30:116-120.
- 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) 446-452.
- O'Bryan, J.T. and G.J. Sherman, Undergraduates,
CAYLEY and Mathematics, PRIMUS, 2 (1992) 289-306.
- 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),22-27.
- Sherman G.J., T.J. Tucker, and M.E. Walker, How
Hamiltonian can a Finite Group Be? Ach.Math.(Basel),
57 (1991) 1-5.
- Sherman, G.J. and M. Wattenberg, Introducing........Cwatsets!,
Mathematics Magazine, 67(1994) 109-117.
- Annin, S.A., Sherman, G.J., and Ziebarth J.J. Research
Questions for Undergraduates on Triple Products in Finite
Groups, PRIMUS, 6(1996), 1-7
- Mitchell C.Z. and Sherman, G.J., Counting Products
of Triples in Finite Groups, Congressus Numerantium,
102(1995) 129-134
- Ahearn, S., M. Huber, G.J. Sherman, Finite Groups
can be Arbitrarily Hamiltonian, Communications in Algebra,
27(1999) 1013-1016.
- Fulman, J., M. Galloy, G.J. Sherman, J. Vanderkam, Counting
Nilpotent Pairs in Finite Groups, Ars Combinatoria,
54(2000) 161-178
- Nicholas Christian and Mathew Johnson
Non-Destructive Testing of Thermal Resistances for a Single
Inclusion in a Two-Dimensional 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), 237-283. (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. 21-36.
- 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.
388-407.
- Kurt Bryan, Janine Haugh, and David McCune, Fast
Imaging of Partially Conductive Linear Cracks Using Impedance
Data; Inverse Problems 22 (2005), p. 1337-1358.
- Jesse Beder, Foundations of Generalized
Cwatsets; Ars Combinatoria 92
(2009), p. 193-212.
- 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 Self-Power 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 non-REU 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. 206-207.
