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Friday, August 4^th

12:00nn - 2:00pm     Registration & Welcome

12:00nn   MW 154	Registration:   Conference Room MW 154   across from reception desk of Math Tower (231 W 18th Ave)
12:00nn   MW 724	Refreshments:  7th Floor Lounge (MW 724) of Math Tower
1:20pm   MW 724	Welcome Address:   Peter March (Chair)

  2:00pm - 4:30pm     Student Talks   (I)

Session: I-A       Room: EA 265       Chair: Prof Terrence Bisson
2:00pm  EA 265	Cayley graphs of finite abelian groups. Julia F Lazenby Canisius College
2:30pm  EA 265	Transformation of Graphs, Characteristic Polynomials, and Spectra Allison A Davis Canisius College
3:00pm  EA 265	Number of orbits associated to Hecke triangle groups Elena Udovina Scripps College
3:30pm  EA 265	Finding a Galois Representation Corresponding to a Hecke Eigenclass Meghan M De Witt Brigham Young University
4:00pm  EA 265	The Fundamental Theorem of Tropical Algebra Nathan Grigg Brigham Young University

Session: I-B       Room: EA 275       Chair: Prof Alan Durfee
2:00pm  EA 275	Thistlethwaite's theorem for virtual links Jeremy Voltz The Ohio State University
2:30pm  EA 275	Polynomial Parameterizations of Knots Susan J Durst & Katherine E Toman Mount Holyoke College
3:00pm  EA 275	On the Perturbation of Polynomial Knots Emily N List & Charles M Siegel Mount Holyoke College
3:30pm  EA 275	A New Condition for Intrinisically Knotted Bipartite Graphs Ryan L Hake & Chloe M Collins CSU Chico
4:00pm  EA 275	Radio Number of Prism Graphs Juan P Ortiz & Paul M Martinez CSU Channel Islands

Session: I-C       Room: EA 285       Chair: Prof Osman Yurekli
2:00pm  EA 285	Transforming Bessel Functions Matthew R Rogala Ithaca College
2:30pm  EA 285	Finding Zeroes of Analytic Functions James E Weigandt & John J Steenbergen Purdue University
3:00pm  EA 285	Spectral Reconstruction and Solution of PDEs Using Freud Orthogonal Polynomials William S Rosenthal Arizona State University
3:30pm  EA 285	Spectrum of the Energy Laplacian on the Sierpinski Gasket Alex Fok Cornell University
4:00pm  EA 285	Laplacians on the Sierpinski Gasket with Twists Baris E Ugurcan Cornell University

  5:00pm - 6:00pm     Plenary Talk

5:00pm  EA 160

When Three Colors Suffice Joan P. Hutchinson Macalester College

6:30pm - 9:30pm     Dinner at the Faculty Club

Saturday, August 5^th

8:30am - 9:30am     Breakfast in MW 724


  9:30am - 10:30am     Plenary Talk

9:30am  EA 160

Quantum Computing Peter Shor Massachusetts Institute of Technology

  10:30pm - 12:00nn     Posters Presentations

Room: MW 724

2D Fractal Trees with Three Branches Brianna M Tufts Ithaca College, Ithaca, NY

Confidence Regions of Inverse Problems Models Marco A Lopez Rice University

Conjugacy Classes of Permutations Spyro Roubos NC State University

Non-Uniform sampling and Forgetfulness in Evolutionary Games Mark T Patterson & Peter T Weyand University of Illinois at Urbana Champaign

On the concept of Third Order Stochastic Dominance Javier I Gomez RUSIS 06'

Parallel Worlds: A Realtime Multi-User Virtual Environment on a Phleet of Graphics Computers Emily A Echevarria University of Illinois at Urbana-Champaign

Quasi.py: A visualization of quasicrystals in PC cluster based virtual environments Matthew Y Gregory University of Illinois at Urbana-Champaign

Replicator Dynamics for Balanced Zero-Sum Games: A Visualization Toolbox Joanna K. Nelson & Adrian M. Bell University of Illinois at Urbana-Champaign

Rimming Flow of Power Law Fluids Armelle S Franklin & Lucija Zubonja California State University, Chico

The Radio Number of Gear Graphs Christina M Fernandez & America Flores CSU Channel Islands

Torricelli Solids Anna R Haensch & Joan Kim SUNY New Paltz

12:00nn - 1:00pm     Lunch Break


  1:00pm - 2:30pm     Student Talks   (II)

Session: II-A       Room: EA 265       Chair: Prof Eric Katz
1:00pm  EA 265	Laurent-rational points on polynomial curves Charles E Staats III Duke University
1:30pm  EA 265	Combinatorial Formulas for an Involution Poset Chelsey A Cooley & Nathan F Williams North Carolina State University
2:00pm  EA 265	Computational Issues in Weyl Groups Erin M Oliver & Patricia Cahn Smith College

Session: II-B       Room: EA 275       Chair: Prof Giuliana Davidoff
1:00pm  EA 275	Automorphisms of Root Systems Aydin Gerek Lafayette College
1:30pm  EA 275	Asymptotics on the Class Number Lee Kennard & Katharine Shultis Mount Holyoke College
2:00pm  EA 275	Fundamental Units and the Class Number Ian N Petrow & Haokun Xu Mount Holyoke College

Session: II-C       Room: EA 285       Chair: Prof Donal O'Shea
1:00pm  EA 285	Kazhdan's Property (T) for Graphs Clara E Brasseur Canisius College
1:30pm  EA 285	Covers, Laplacians, and Heat Kernels on Directed Graphs Ryan E Grady Canisius College
2:00pm  EA 285	Calculating the Ihara Zeta Function for Some Infinite Graphs Samuel D Cooper Canisius College

2:30pm - 3:30pm     Coffee & Refreshments   in   MW724


  3:30pm - 4:30pm     Student Talks   (III)

Session: III-A       Room: EA 265       Chair: Prof Aloysius Helminck
3:30pm  EA 265	Spectral Properties of the Zig-Zag Product of Graphs Dominic Dotterrer Canisius College
4:00pm  EA 265	BRT Polynomials of Gassmann Equivalent Dessins May Mei Louisiana State University
4:15pm  EA 265	Combinatorics of the Figure Equation on Directed Graphs Taylor E Coon Canisius College

Session: III-B       Room: EA 275       Chair: Prof Gary Gordon
3:30pm  EA 275	The higher dimensional Frobenius Problem Jeffrey M Amos & Darren C Ong Trinity University
4:00pm  EA 275	On Radio Numbers of Cn □ Cn Aaron M Yeager CSU Channel Islands
4:15pm  EA 275	Constructing Polynomial Knots Matthew R. K. Wright Mount Holyoke College

Session: III-C       Room: EA 285       Chair: Prof Ruth Haas
3:30pm  EA 285	Colorability of Alternating Knots Kevin R Meek & Pablo R Solis CSU, Chico
4:00pm  EA 285	On the Kauffman-Harary Conjecture for Turk's Head Braids Nicholas E. Dowdall & Kevin R Meek CSU, Chico

  5:00pm - 6:00pm     Plenary Talk

5:00pm  EA 160

Proofs that Really Count Arthur Benjamin Harvey Mudd College

6:30pm - 9:30pm     Dinner at the Fawcett Center

Sunday, August 6^th

8:15am - 10:00am     Breakfasts

8:30am   MW 724	Breakfast   for everyone in 7th floor lounge.
8:15am   Blackwell	Mentor Breakfast:   at the The Blackwell Inn   Chaired by Warren Sinnott (Director of VIGRE).

  10:00am - 12:00pm     Student Talks   (IV)

Session: IV-A       Room: EA 265       Chair: Prof Sergei Chmutov
10:00am  EA 265	A new perspective on De Bruijn tori Igor Konfisakhar & Joseph J Marincel East Tennessee State University
10:30am  EA 265	Random Geometry Joseph J Marincel & Ariel R Levavi Eastern Tennessee State University
11:00am  EA 265	Universal Cycles of a Multiset Joshua N Zahl & Tobias L Johnson ETSU
11:30am  EA 265	The Existence of Cyclic Difference Sets Bridget D Franklin Central Michigan University

Session: IV-B       Room: EA 275       Chair: Prof Neal Stoltzfus
10:00am  EA 275	Clock Lattices of Spanning Trees of Plane Graphs Mary L Radcliffe Louisiana State University
10:30am  EA 275	Recursion of the Jones Polynomial on Two-Bridge Knots Giovanna Thron Louisiana State University
11:00am  EA 275	What graphs are realizable as zero divisor graphs? Michael S Skalak Wabash College
11:30am  EA 275	A family of graphs coming from the symmetries of the cube. Joseph D Consiglio Canisius College

Session: IV-C       Room: EA 285       Chair: Prof Mason Porter
10:00am  EA 285	A Computational Study of the Quantization of Billiards with Mixed Dynamics William A Webb California Institute of Technology
10:30am  EA 285	Recovering the Hidden Axis of a One Dimensional Quantum Reflection Operator Siwei Zhu Rutgers University
11:00am  EA 285	Design and Optimization of Explicit Runge-Kutta Formulas Stephen M Dupal Iowa State University
11:30am  EA 285	Maximizing Success In The "Hat Problem" Allen A Cox Kent State University

12:15pm - 12:30pm     Wrap Up

12:15pm   MW 724

Closing Address:   by Warren Sinnott and/or Peter March.