NAU Research Experience for Undergraduates

Student Report Advisor Publication

2012
Rachel BachmanNewton’s Method for Solution Finding to Nonlinear Semi-Elliptic PDE’sJohn Neuberger and James Swift
Jacob ClarkThe Critical Exponent Problem for Radially Symmetric Solutions to a Nonlinear PDE John Neuberger and James Swift
Nate VeldtThe Critical Exponent Problem for Radially Symmetric Solutions to a Nonlinear PDE John Neuberger and James Swift
Angela CooperImproving the SDP-CUT Algorithm for Solving Semidefinite Programs Shafiu Jibrin
Bryan KarlovitzAn Algorithm for Solving the Convex Feasibility Problem With Linear Matrix Inequality Constraints and an Implementation for Second-Order Cones Shafiu Jibrin
Robert RavierA Numerical Method for Nonlinear Analysis on the Sierpinski Gasket John Neuberger and James Swift

2011
Berkeley ChurchillSemi-Symmetric Graphs of Valence 5Stephen Wilson
Leah WeinerStephen Wilson
Nate HarmanStephen Wilson
Kenny AscherGraphic Hyperplane ArrangementsMike Falk
Caleb HoltzingerGraphic Hyperplane ArrangementsMike Falk
Donald MathersGraphic Hyperplane ArrangementsMike Falk

2010
Bryan CromptonFinite Computational Models of Iterated MapsJim Swift
Richard FrnkaTHE CIRCULAR RESTRICTED THREE-BODY PROBLEMJim Swift
John MachachekAn Interior Point Method for Solving Semidefinite Programs Using Cutting Planes and Weighted Analytic CentersShafiu JibrinJ. Appl.Math. (2012)
Alex SchiffINTRODUCTION TO QUASI-NEWTON METHODSJim Swift
Kaitlyn TuthillConstraint Consensus Methods for Finding Near-Feasible Points of Convex Quadratic Shafiu JibrinJ. Appl.Math. (2010)
Anna WeigandtConstraint Consensus Methods for Finding Near Feasible Points in Second Order ConesShafiu JibrinJ. Appl.Math. (2010)

2009
No program

2008
Andres PerezDetermining Resonance Varieties of Hyperplane Arrangements Mike Falk
Paul SavalaSteve Wilson
Antonio VargasA note on a superlinear elliptic Dirichlet problemJim Swift
Nakul DawraMike Falk
Ian WilliamsSteve Wilson
Daniel RaiesNatural Embeddings of GraphsJim Swift

2007
Jason LeeExistense of Asymptotic Solutions to Semilinear Partial Difference Equations on GraphsJohn Neuberger
Liz UribeSolving Systems of Nonlinear Coupled PdEs Using Newton's MethodJohn Neuberger
Jeannie BackerSolving Systems of Nonlinear Coupled PdEs Using Newton's MethodJohn Neuberger
Abdul DakkakSolving PdE on the DiskJohn Neuberger
David RiekstsBasins of Attraction PdE's on C3John Neuberger
Tom DunnAn Investigation on the Nehari ManifoldJohn Neuberger

2006
Megan GallantFinding Semi-Transitive Orientation of GraphsSteve Wilson
Jackie Van RyzinSemidefinite Diagonal Directions Algorithm for Determining Necessary Linear Matrix Inequality ConstraintsShafiu JibrinComm. Nonlin. Sci. & Num. Sim. (2009)
Michael ZimmermannImplementing an Algorithm for Detecting Redundant Linear Constraints in Semidefinite ProgrammingShafiu Jibrin
Kai TsurataGNGAJohn Neuberger
Malloy
Jessica CannonGNGAJohn Neuberger

2005
No program

2004
Benjamin VugteveenGeneral Results Concerning a Family of Worthy Semi-Symmetric GraphsSteve Wilson
Angelita DennyTerence Blows
Hannah SimmonsBlowing Up the Braid ArrangementMike Falk
Antony DiPietroNikolay Sirakov
Matthew GreenBlowing Up the Braid ArrangementMike Falk
Michael WellsNikolay Sirakov
Aaron HillSteve Wilson

2003
Moshe CohenSteve Wilson
Tyrel FisherShafiu Jibrin
Andrey KislyukNikolay Sirakov
Young He LeeShafiu Jibrin
Catherine LichtenNikolay Sirakov
Laura LinchSteve Wilson

2002
Elaina DeabayPolyomino weak achievement games on 3-dimensional rectangular boardsNandor Sieben Discrete Math. (2005)
Susan PerroneExtensions of Semidefinite Coordinate Direction Algorithm for Detecting Necessary Constraints toUnbounded RegionsShafiu JIbrin
Matthew MillerA New Result Regarding Hexagons in Pascal's TriangleBill Schulz
Katie PriceA New Result Regarding Hexagons in Pascal's TriangleBill Schulz
Kathryn SpenceConnectivity of Knight's Graphs on Saw Shaped BoardsNandor Sieben
Daniel StoverDeterministic Methods for Detecting Redundant Linear Constraints in Semidefinite Programming Shafiu JibrinJ. Interdiscip. Math. (2007)

2001
Cahmlo OliveAlgebraic Invariants of Orlik-Solomon Algebras: Some New ExamplesMike Falk
Eric SamanskyArrangements of hyperplanes: Resonance vareeties over C and over finite fieldsMike Falk
Graham MuellerImproving the Semidefinite Stand-and-Hit Algorithm for Detecting Necessary Linear Matrix InequalitiesShafiu Jibrin
Jacob WarrenThe Impact of Density upon Quasi-Extiction Risk in Markov ChainsTerence Blows
Steve FormaneckImproving the Semidefinite Coordinate Direction (SCD) Method for the Detection of Necessary Linear Matrix InequalitiesShafiu Jibrin
Satarupa DasTerence Blows

2000
Courtney PattersonTightly-attached Semi-transitive GraphsSteve Wilson
Jeremy VanHorn-MorrisContinuous Eigenpath as a method of finding infinitely many solutions on the nonlinear LaplacianJohn Neuberger
Jazz AlibalicContinuous Eigenpath as a method of finding infinitely many solutions on the nonlinear LaplacianJohn Neuberger
Kellee WilliamsThe Leslie Matrix Model For Age-Structured PopulationsTerence Blows
Leah JagerThe Effect of Density Dependence on Age-Structured Population Growth Modeled with Leslie MatricesTerence Blows
Lisa PowellThe Vertex Next DoorSteve Wilson

1999
Jason OsbornepdfJim Swift
Joel FishpdfJohn Neuberger
Quinn SanerpdfSteve Wilson
George YuhaszpdfSteve Wilson
Joe PowersRoy St. Laurent
Samantha MelcherMike Falk

1998
Cayley PendergrasspdfMike Falk
Jennifer KazmarekpdfTerence Blows
Josh RushtonpdfJohn Neuberger
Laura CarbajalpdfJohn Neuberger
Peter DevlinpdfJohn Hagood
Jennifer d'ArcyJanet McShane

1997
Kimball MartinpdfSteve Wilson
Nicholas ProudfootpdfMike FalkTopology and Its Application (2002)
Katie Capuzzi
Justin Freeman
Weldon Gilcreese
Brandy Rapatski
John Regmer
Terry Sargent

1996
Andrew Millerpdf
Carrie EschenbrennerpdfMike FalkJournal of Algebraic Combinatorics (1999)
Chris ChavezpdfLawrence Perko
Karen PotankapdfStephen Wilson
Leah BermanpdfStephen Wilson
Michelle DeBonispdfTerence Blows
Thomas PylepdfGuenther Huck

1995
Hunter TartpdfLawrence Perko
Jeffrey SchenkerpdfJim SwiftPhysica D: Nonlinear Phenonema (1998)
Richard OnkeypdfSteve Wilson
Sandee WilliamspdfTerence Blows
Travis KelmpdfGuenther Huck

1994
Gary AmendepdfSteve Wilson
Jake LeonardpdfMike Falk
Jon MollenhauerpdfJim Swift
Linda Tsaipdf
Terri Pizzutellipdf
Kate LinkLawrence Perko