Rose-Hulman Institute of Technology
NSF-REU Site in Mathematics

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a Research Experience for Undergraduates

Rose-Hulman NSF-REU - Publications and Dissemination Sites

Rose-Hulman NSF-REU Dissemination Sites

Faculty Mentor Status Research area Website
Kurt Bryan current Inverse Problems Inverse Problems Page
Dave Finn current Geometric Analysis Cookie Shape Page
Josh Holden current Number Theory Discrete Logarithm Home Page
Al Holder
Systems Biology
Studies in Computational Biology
Allen Broughton fomer mentor Hyperbolic Geometry
Tom Langley fomer mentor Cwatsets
John Rickert fomer mentor Number Theory  
Gary Sherman emertius Cwatsets


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.


MSTR 12-02  link to pdf   Robust Analysis of Metabolic Pathways,  Emily Gruber, Amy Ko, Michael MacGillivray, and Miranda Sawyer

MSTR 12-03  link to pdf   Thermal Detection of Inaccessible Corrosion,  Matthew Charnley and Andrew Rzeznik

MSTR 12-04  link to pdf   Determining Properties of Metal by Analyzing Changes in Impedance,  Chase Mathison and Laura Booton


MSTR 11-01  link to pdf   The Elliptic Curve Discrete Logarithm and Functional Graphs,  Christopher Evans

MSTR 11-02  link to pdf   Structure and Randomness of the Discrete Lambert Map,  JingJing Chen and Mark Lotts

MSTR 11-03  link to pdf   Cloaking Against Thermal Imaging,  Maple So

MSTR 11-04  link to pdf   Nondestructive Electrothermal Detection of Corrosion,  Brittany Ambeau, Harris Enniss, and Stefan Schnake

MSTR 11-05  link to pdf   The Square Discrete Exponentiation Map,  Alex Wood


MSTR 10-04  link to pdf   Discrete Logarithms on Elliptic Curves,  Aaron Blumenfeld

MSTR 10-05  link to pdf   Structure and Statistics of the Self-Power Map,  Matthew Friedrichsen, Brian Larson, and Emily McDowell

MSTR 10-07  link to pdf   G-lattices for an Unrooted Perfect Phylogeny,  Monica Grigg

MSTR 10-08  link to pdf   Bilinear Programming and Protein Structure Alignment,  J. Cain, D. Kamenetsky, N. Lavine


MSTR 09-06  link to pdf   Structural Properties of Power Digraphs Modulo n,  Joseph Kramer-Miller

MSTR 09-07  link to pdf   Discrete Logarithm over Composite Moduli,  Marcus L. Mace

MSTR 09-08  link to pdf   The Digraph of the Square Mapping on Elliptic Curves,  Katrina Glaeser

MSTR 09-09  link to pdf   Statistical Investigation of Structure in the Discrete Logarithm,  Andrew Hoffman


MSTR 07-01  link to pdf   Isomorphisms of Elliptic Curves over Extensions of Finite Fields,  Matthew Niemerg

MSTR 07-02  link to pdf   The Discrete Logarithm Problem and Ternary Functional Graphs,  Max F. Brugger, Christina A. Frederick


MSTR 06-01  link to pdf   Non-Destructive Recovery of Voids within a Three Dimensional Domain using Thermal Imaging,  Victor Oyeyemi and Kurt Bryan

MSTR 06-02  link to pdf   Thermal Imaging to Recover a Defect in Three Dimensional Objects,  Breanne Baker


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


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 03-01  When Abelian Groups Split, Robert C. Rhoades, Rachel L. Thomas


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.


MSTR 01-01  Triangular Surface Tiling Groups for Low Genus: S. Allen Broughton, Robert M. Dirks, Maria T. Sloughter, C. Ryan Vinroot


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


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


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


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


MSTR 96-03 CWATSETS: Weights, Cardinalities, and generalizations Richard Mohr


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


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


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


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


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


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.

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.
This document was last modified: 07/13/13
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