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JMM 06 Student Poster Winners
The 2007 List of Prize Winners and Advisors
Joint Mathematical Meetings of the AMS/MAA
New Orleans, LA
Supported by:
American Mathematical Society
Association for Women in Mathematics
Council on Undergraduate Research
Educational Advancement Foundation
Society for Industrial and Applied Mathematics
Title: Orbits of Hecke Triangle Groups
Authors: Elena Udovina, Harvard University, Adam
Merberg, Brown University
Advisor: Christopher Towse, Scripps College
Title: Constructing
Polynomial Knots
Author: Matthew Wright , Carnegie Mellon University
Advisor: Alan Durfee, Mount Holyoke College
Title: A Mathematical Model for Tightening and Heat
Generation in Self-Tapping Screws
Author: Alla Shved, University of Massachusetts, Boston
Advisor: Suzanne Weekes, Worcester Polytechnic Institute
Title: Optimization of
Traveling Wave Tubes using Large Signal Codes and Optical Beam Analysis
Author: Adam Attarian , North Carolina State University
Advisor: Hien T. Tran, North Carolina State University
Title: Analysis of Models for Blood Flow in the
Cardiovascular System
Author: Cheryl Zapata, North Carolina State University
Advisors: M.S. Olufsen and C.T. Kelley, North Carolina State
University
Title: Symmetry Analysis of the Two Dimensional Heat
Equation with a Source Term
Authors: Olabode Sule and Luis Suazo, University Of Central
Arkansas
Advisor: Daniel J. Arrigo, University of central Arkansas
Title: Algorithms for Precomputing Fast Fourier
Transforms of the Symmetric Group
Authors: Marie Jameson, Harvey Mudd College, Bradley
Froehle, University of Minnesota
Advisor: Michael Orrison, Harvey Mudd College
Title: On a Class of Recurrent Sequences Based on the
Greatest Prime Factor Function
Author: Lisa Scheckelhoff Ohio Northern University
Advisor: Mihai Caragiu, Ohio Northern University
Title: Using Elliptic Curves for One-Time Pad
Encryption
Author: Justin Gieseler, Ohio Northern University
Advisor: Mihai Caragiu
Title: Deterministic and Stochastic Models for the
Spread of Fear and Opinion
Authors: Reanne Bowlby, Western Washington University, Ange
Sinamenye, Univesrity of Licoln-Omaha, Elizabeth Steen, Pacific
Lutheran University
Advisor: Steve Dunbar, University of Nebraska, Licoln
Title: Exponential Stability of Dynamic Equations on Time
Scales
Authors: Matthew Rashford State University of New York at
Geneseo, Julie Siloti, Pomona College, Winona State University,
Jonathan Wrolstad, Winona State University
Advisor: Allan Peterson, University of Nebraska-Lincoln
Title: Cannibalism: When Parents Attack (Their Kids)
Authors: Tracy Robson and Jonna Anderson, Simpson
College, Samuel Potter, University of Minnesota-Morris
Advisor: Glenn Ledder, University of Nebraska-Lincoln
Title: An Equivalent Characterization of
Half-Factorial Block Monoids Over Z Torsion Groups, with Applications
in Dedekind Domain Factorization
Author: Ross Kravitz, Williams College
Advisor: Scott Chapman, Trinity University
Title: The Slope and Derivative of a Tropical Polynomial
Author: Julian Tay, Brigham Young University
Advisor: Tyler Jarvis, Brigham Young University
Title: An Initial Inquiry Into LC-loops
Authors: Sarah Cotter, Amherst College, Jacob Magnusson,
Emporia State University, Matthew Ward, Youngstown State University,
Kyle Wendt, Lake Forest College
Advisor: J. D. Phillips, Wabash College
Title: Delay Differential Equations Modeling
Vertically Transmitted Diseases
Authors: Jonathan Adler, Worcester Polytechnic
Institute Lynne Erickson, Ursinus College, Kristen Mazur,
Lafayette College , Thomas Tyrrell, Boston University
Advisor: Thomas Hill, Lafayette College
Title: The Crossing Probability Energy
Author: Aaron Mitchell, Lamar University
Advisor: Rolland Trapp, California State University at San
Bernardino
Title: Circle Packings and Penrose Tilings
Author: Matthew Stamps, Grand Valley State University
Advisor: David Austin, Grand Valley State University
Title: Algorithms for Rigorous Lower Bounds of Topological
Entropy Using Conley Index Theory
Author: Rafael Frongillo, Cornell University, Rodrigo
Trevino, University of Texas at Austin
Advisor: Sarah Day, College of William and Mary
Title: Random Walks on Set Partitions
Author: Owen Anderson, Macalester College
Advisor: Tom Halverson, Macalester College
Title: Population Dynamics of a Scavenger on
Lotka-Volterra Systems
Author: Malorie Winters, Penn State Erie, The Behrend
College
Advisor: Joseph Previte, Penn State Erie, The Behrend
College
Title: Ihara Zeta Functions of the Underlying Graphs
of Bipartite Dessins
Author: Michael Lock, Columbia University
Advisor: Robert Perlis, Louisiana State University
Title: Algebraic Interleavers in Turbo Codes
Authors: Zackary Kenz Concordia College ’ Moorhead,
Jason Dolloff, Southwestern University, Jacquelyn Rische Whittier
College
Advisor: Ed Mosteig, Loyola Marymount University
Title: Fixing Numbers of Symmetric Groups and Related
Graphs
Author: Courtney Gibbons, Colorado College
Advisors: Joshua Laison, St. Olaf College
Title: McKay Tantalizers
Author: Jeffrey Barnes, Macalester College
Advisor: Tom Halverson, Macalester College
Title: Deterministic and Small-World Network Models of
College Drinking Patterns
Authors: Melissa Thompson, Central Washington
University/Applied Mathematical Sciences Summer Institute (AMSSI),
Roberto Rodriguez North Carolina State University/Applied Mathematical
Sciences Summer Institute (AMSSI)
Advisor: Erika T. Camacho, Loyola Marymount
Title: Properties of Segments in the Hausdorff Metric
Geometry
Authors: Lisa Morales California State Polytechnic
University, Pomona/GVSU REU, Daniel Schultheis, University of
Washington/GVSU REU
Advisors: Steven Schlicker, Grand Valley State University
Title: Quadratic Forms that Represent all Integers or
All Large Integers in Given Arithmetic Progressions
Author: James Long, Columbia University
Advisor: Kimball Martin, Columbia University
Title: Irreducible Graphs
Author: Masanori Koyama, Harvey Mudd College
Advisors: David L. Neel and Michael E. Orrison,
Seattle University and Harvey Mudd College
Title: Frobenius Vectors: Reducing and Bounding
Author: Jeffrey Amos, Kansas State University
Advisor: Vadim Ponomarenko, Trinity University
Title: On Complete Cyclic Cutwidth Critical Graphs and
the Investigation of 4-linear Cutwidth Critical Tree Graphs
Author: Ruffin Swain, California State University,
Dominguez Hills
Advisor: Joseph Chavez, California State University,
San Bernardino
Title: Chaotic Population Dynamics in a Small-World
Network Model
Author: Colin Kremer, State University of New York at
Geneseo
Advisors: Chris Leary, Gary Towsley, and Gregg
Hartvigsen, SUNY Genseo
Title: Minimum Rank of a Graph over an Arbitrary Field
Authors: Sean Droms. University of Mary Washington
Advisors: Leslie Hogben, Iowa State University
Title: PL Boundaries of Surfaces Which Immerse Isometrically
in R2
Author: Andrew Gainer, Mercer University
Advisor: Margaret Symington, Mercer University
Title: Robinson's theorem in connection with a Putnam problem
Author: Andrew Homan, Ohio Northern University
Advisor: Mihai Caragiu, Ohio Northern University
Title: On Methods of Computing Log Canonical Thresholds and
Equithreshold Deformation Spaces of Complex Plane Curve Singularities
Authors: Patrocinio Rivera, Robert Fraleigh and Jonathan
Skowera, Rice University
Advisor: Brendan Hassett, Rice University
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