Rose-Hulman NSF-REU - Publications and Dissemination Sites

Dissemination Sites | Technical reports | Refereed Publications

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
Allen Broughton	fomer mentor	Hyperbolic Geometry	tilings.org
Tom Langley	at CLU	Cwatsets	cwatsets.org
John Rickert	fomer mentor	Number Theory
Gary Sherman	emertius	Cwatsets	cwatsets.org

Rose-Hulman NSF-REU Technical Report Series (MSTR)*

* part of the Rose-Hulman Mathematical Sciences Technical Report Series (MSTR)

Request copies from allen.broughton@rose-hulman.edr

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.

Hutson, K. and Salvo, E. Conjugacy Classes of Triple Products in Finite Groups, Furman University Electronic Journal of Undergraduate Mathematics 1(1995) 12-21.

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

R. Vinroot, Symmetry and Tiling Groups for Genus 4 and 5, RHIT Udg. Math. J., 1 #1 (2000) (electronic).

Cynthia Gangi and Sameer Shah Characterizing a Defect in a One-Dimensional Bar , RHIT Udg. Math. J., 4 #1 (2003) (electronic).

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).

Hilary Spring and Shannon Talbott Thermal Imaging of Circular Inclusions with a Two-Dimensional Region , RHIT Udg. Math. J., 7 #1 (2006) (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, to appear in Ars Combinatoria.