| Student(s) | Project Title | Advisor(s) |
|---|---|---|
| Andrew Binder | Modeling Otoacoustic Emissions | Bergevin |
| Student(s) | Project Title | Advisor(s) |
|---|---|---|
| Amanda Schaeffer | Iterative methods for eigenvalues of symmetric matrices as fixed point theorems | Greenlee |
| Student(s) | Project Title | Advisor(s) |
|---|---|---|
| David Love | Optimization of VECSEL Mirrors to Compensate for Nonlinear Distortions | Moloney |
| Student(s) | Project Title | Advisor(s) |
|---|---|---|
| Sean Howe | Efficiently Calculating Phase Data based on Magnitude of Near and Far Fields | Indik |
| Haokun Xu | Elliptic Curves | Rogers |
| Julio Brau | Involutions and representations of the finite orthogonal groups | Vinroot, Lux |
| Brendan Fry | Symmetric groups, partitions and representations | Cossey |
| Charles Campbell | The Period of the Fibonacci Sequence Modulo j | Rogers |
| Cheyne Pierce | Theoretical Models of Oxygen Transport in Capillaries | Secomb |
| Andrew Winslow | Use of a Conformal Mapping Algorithm for Pattern Recognition | Kennedy |
| Harshil Seth | Using Copulas to Calculate Portfolio Value | Meyers, Lamoureux |
| Student(s) | Project Title | Advisor(s) |
|---|---|---|
| Haokun (Sam) Xu | Elliptic Curves | Nick Rodgers |
| Cheyne Pierce | Mathematical models of oxygen flows in the microcirculation | Secomb |
| Brendan Fry | Symmetric groups, partitions and representations | James Cossey |
| Maria Miranda | Zipper Algorithm | Kennedy |
| Student(s) | Project Title | Advisor(s) |
|---|---|---|
| Karl Dutson | Synchroization of Chaos | Indik |
| Christopher McMurdie | Unit Groups | Nick Rodgers |
| Student(s) | Project Title | Advisor(s) |
|---|---|---|
| John Pate | Geometric Aspects of the Heisenberg Group | Dumitrascu |
| Jacob White | On Linearity of Braid Groups | Cossey |
| Matthew Moore | P-adic Continued Fractions | Levitt, Thakur |
| Peter Gross | Parameter Estimation for the Black-Scholes Equation | Dai |
| Petr Moravsky | The Zipper Algorithm | Kennedy |
| Student(s) | Project Title | Advisor(s) |
|---|---|---|
| Nikhil Prahlad Patil | An Excursion into Set Theory Using a Constructivist Approach | Simic |
| Gabriel Marcus | Fluid Mechanics of Flagellated Microorganisms and Possible Pathways for Evolutionary Transition to Multicellularity | Goldstein |
| Jeffrey Gilbert | Generalizations of Continued Fractions | Pawloski, Lux |
| Daryl "Jeffrey" Springer | Iterative Methods for Eigenvalues of Symmetric Matrices as Fixed Point Theorems | Greenlee |
| Matthew Moore | P-adic Contineud Fractions | Levitt, Thakur |
| Student(s) | Project Title | Advisor(s) |
|---|---|---|
| Taylor Dupuy | Asymptotic Analysis | McLaughlin |
| Samuel Alexander | Polynomials with small Mahler measure | Madden, McCallum |
| Matthew Moore | Solving Quintic Polynomials | Levitt, Thakur |
| Student(s) | Project Title | Advisor(s) |
|---|---|---|
| Arjang Talattof | Developing a Model System to Understand and Predict Photoactive Yellow Protein Behavior | Cusanovich, Indik |
| Samuel Alexander | Formulas for Computable Functions (published in Rose-Hullman Undergraduate Math Journal Vol 7, No 2 (2006)) | Simic |
| Daniel Norwood | Modeling of a Simple Swimmer at a Low Reynold's Number | Lega |
| Carlos Chiquette | Optical Phase Reconstruction Using Near and Far Field | Indik, Shkaraev |
| Christofer Summitt | Optical Phase Reconstruction Using Near and Far Field Magnitudes | Indik, Shkaraev |
| Matthew Green | SLE and Self Avoiding Walks | Kennedy |
| Student(s) | Project Title | Advisor(s) |
|---|---|---|
| Aaron Ellis | Efficient Dynamically Adaptive Mesh | Brio, Ditchen |
| Taylor Dupuy | Investigating Cellular Automata | Wootton |
| Daniel Norwood | Modeling of a Simple Swimmer at a Low Reynold's Number | Lega |
| Jeffrey Gilbert | Study of "Primes is in P" | Wootton |
| Student(s) | Project Title | Advisor(s) |
|---|---|---|
| William Toussaint | Construction of an Efficient Computer Primality Testing Algorithm | Urtis |
| Kenny Headington | Dynamical Systems and Chaos | Indik |
| Aaron Ellis | Efficient Dynamically Adaptive Mesh | Brio, Ditchen |
| Genevieve Patterson | Linear Codes by Java example | Leitner |
| Christopher McMurdie | The Non-Commutative Geometry of Penrose Tilings | Caine, Pickrell |
| Student(s) | Project Title | Advisor(s) |
|---|---|---|
| Matthew Green | Binary Strings and Graphs | Hartman |
| Mel Koppens | Combinatorial Proofs | Jayawant, Leonard |
| Peter Manning | Development of a Matrix Preconditioner from a Polynomial Approximation of 1/x | Restrepo, Hasson |
| Ivan Barrientos, Kenny Headington, Dorian Smith | Dynamical Systems and Chaos | Indik, Soneson |
| Christopher McMurdie | Gelfand's Theorem | Caine, Pickrell |
| Genevieve Patterson | Linear Codes by Java Example | McCallum, Leitner |
| Michelle Roehler | Middle School Students’ Intuitive Techniques for Solving Algebraic Word Problems | Horak |
| Greta Flaaten | Students' Reasoning for Fleeing Mathematics and Related Fields | Horak |
| Lauren Luecke | The Mathematics of Speech | Rychlik |
| Allison Bourke | Torque with Respect to Lift and Drag | Restrepo, Beauregard |
| Brendan Moloney | Vector Maxwell Simulations | Brio |
| Jessica Ryder | Vehicle Roll Over Proposal | Lomen |
| Student(s) | Project Title | Advisor(s) |
|---|---|---|
| Federico Chialvo | A Connected Sum Operation, Maximally Connected Planar Graphs and Colorability | Jayawant, Watts |
| William Toussaint | Applications of Linear Algebra towards the world of sports | Carlson |
| Jefferson Taft | High-Speed Photography in Mathematics | Goriely |
| Michelle Roehler | Middle School Students’ Intuitive Approaches to Algebraic Word Problems | Horak |
| Christopher McMurdie | Penrose Tilings and Periodicity | Caine, Pickrell |
| Alexia Puig | Periodic Functions On Non-Linear Temporal Models | DeVito |
| Shixin Xiao | Sand Movement | Pelletier, Restrepo |
| Greta Flaaten | Students’ Reasoning for Fleeing Mathematics-Related Fields | Horak |
| Zheng Cai | Use of GIS in analyzing environmental cancer risks as a function of geographic scale | Myers |
| Bapy Dibakor | Valid Models for space-time variograms | Myers |
| Dave Schumann | Variable Speed of Light | Narayanan |
| Brendan Moloney | Vector Maxwell Simulations | Brio |
| Student(s) | Project Title | Advisor(s) |
|---|---|---|
| Gordon Davis | Criteria for Assessing a Ranking Method | Carlson |
| Maria Francis-Moullier | Cryptography | Ulmer |
| Jefferson Taft | High Speed Photography | Goriely |
| Jad Halimeh | Mahler’s Measure and Lehmer’s Conjecture | Madden |
| Grayson Williams | Proving the Lehmer Conjecture for Polynomials of Degree 10 | Madden |
| Mark Miles | Simulation of waves and shocks | Brio, Dineen |
| Zheng Cai | Use of GIS in analyzing environmental cancer risks as a function of geographic scale | Myers, Rogan |
| Brendan Moloney | Vector Maxwell Simulations | Brio |
| Student(s) | Project Title | Advisor(s) |
|---|---|---|
| Jamil Mortada | Composition of twists along simple closed curves | Gay (David T.) |
| Alexia Puig | Periodic Functions On Non-Linear Temporal Models | DeVito |
| Maria Francis-Moullier | Primes is in P | Ulmer |
| Alex Toussaint | Ranking Basketball Teams | Carlson |
| Jefferson Taft | The Propagation of Waves through a Cracking Whip | Goriely |
| Jad Halimeh | Theoretical Proof of Lehmer's Conjecture for Polynomials of Small Degree | Madden |
| Zheng Cai | Use of GIS in analyzing environmental cancer risks as a function of geographic scale | Myers |
| Student(s) | Project Title | Advisor(s) |
|---|---|---|
| J.W. Gaberdiel | An Exploration of Nontraditional Conceptualizations of Knots | Robinson |
| Shixin Xiao | Modeling the movement of Sand | Restrepo |
| Benjamin Armbruster | Static solutions of an elastic rod in a helical shape without twist | Goriely |
| Jamil Mortada | Study of Topological Surfaces | Gay (David T.) |
| Student(s) | Project Title | Advisor(s) |
|---|---|---|
| Teja Muppirala | Convection in a differentially heated narrow slot | Chan |
| Mario Sweeney | Dependence of Stock Market Prices | Wright |
| Jason Dyer | Exponent Attacks: Lattice Reduction | McCallum |
| Ellen Preiss | Factorization Attacks | McCallum |
| Franco Cafiero | Factorization: Possible Factor Neighborhoods | McCallum |
| Andrew Crites | Particle Image Velocimetry | Goldstein |
| Matt Green | Primality Testing: Pseudoprimes and Carmichael Numbers | McCallum |
| Student(s) | Project Title | Advisor(s) |
|---|---|---|
| Teja Muppirala | Convection in differentially heated systems | Chan |
| David Wood | Modeling Flour Beetle Populations | Cushing, Perlis |
| Matthew Jallo | Sediment Dynamics Simulation via Cellular Automata Artificial Intelligence | Restrepo |
| Adam Kiel | Solvable Quintics : A New Approach | DeVito |
| Andy Klein, Travis Singleton | The Meta RSA Page | Goff |
| Benjamin Armbruster | Verifying Return Addresses: Bounds on the Efficiency of Distributed Packet Filtering | Smith (Cole), Lomen |
| Student(s) | Project Title | Advisor(s) |
|---|---|---|
| David Wood | Fractal Dimension in models of Flour Beetle Population | Cushing, Edmunds |
| Rex Cook, Samantha Zaplinski | Plume-Driven Mixing in Stratified Fluids | Restrepo, Goldstein, Pesci |
| Student(s) | Project Title | Advisor(s) |
|---|---|---|
| Steven Bethard, Ethan Dolle | An Exploration of Surfaces | Gay (David A.) |
| Michelle Cobeaga | Analysis of migrating bands of chemotactic bacteria | Lega |
| Catherine Ott | Bacillus subtilis: Colony Dynamics | Lega |
| Brian Weleck | Calculus Experiments | Velez |
| David Brown | Galois Group of Cyclotomic Fields of Fermat Primes | Madden |
| Chi-kwan Chan | Generalized Functions in Minkowski Space | DeVito |
| Justin Miller | Isomorphic Groups of Rational Points of Elliptic Curves over Finite Fields | Ulmer |
| Student(s) | Project Title | Advisor(s) |
|---|---|---|
| Catherine Ott | Bacillus subtilis: Colony Dynamics | Lega |
| Karen Carter | Cryptography and Finite Fields | Ulmer |
| Student(s) | Project Title | Advisor(s) |
|---|---|---|
| Pojen Huang | Modeling of the Semiconductor Laser with Optical Feedback | Indik |
| Chris Bergevin | Synchronization of Chaotic Electronic Circuits: Can we control Chaos? | Goldstein, Indik |
| Student(s) | Project Title | Advisor(s) |
|---|---|---|
| Santiago Canez | Continued Fraction Factorization | Madden |
| Tom Wilkening | Creating Materials for a New Course on the Mathematics of Investing | Wright |
| Nathaniel Blair-Stahn | Investigation of the Behavior of the Eigenvalues of Random Permutation Matrices | Wieand |
| Peter Lewis | Parametric Representation of Keplerian Orbits | Alexander |
| Ali Amjad | Stochastic Differential Equations | Bayly |
| Student(s) | Project Title | Advisor(s) |
|---|---|---|
| J.W. Gaberdiel | A Study of Perfect Numbers and Related Topics, With Special Emphasis on the Search for an Odd Perfect Number | McCallum |
| Chi Chen | Beowolf-Class Supercomputing Task-Farming Utilities | Restrepo |
| Diane Kohl | Bounding Sound Wave Errors | Hillyard |
| Julianne Lazarr | Computer Modeling of the Growth of Microvascular Networks | Secomb |
| Justin Miller | Computing homology groups of simplicial complexes | Rychlik |
| Pojen Huang | Control in Chaos | Indik, Lega, Ercolani |
| Siwei Shen | Convexity at a Point | Laetsch |
| Joseph Robles | Design and Building of an Apparatus for Investigation of the Granular Dynamics and Fluid Dynamics of Sand Ripples | Restrepo |
| Anna Szidarovszky | Sightings of the Rare Primitive Pythagorean Triangles | Stevenson |
| Trevor Arnold | Small degree extensions of the rational numbers | McCallum |
| Travis Sherman | Summation of Glaisher- and Apery-like Series | Brillhart |
| Student(s) | Project Title | Advisor(s) |
|---|---|---|
| Po-Jen Huang, James Roche, Steve Steinke, Robert Thompson | Control of the Quadratic Map Using Delay | Indik, Lega, Ercolani |
| Student(s) | Project Title | Advisor(s) |
|---|---|---|
| Justin Miller | Families of Continued Fractions | Madden |
| Student(s) | Project Title | Advisor(s) |
|---|---|---|
| Adam Arluke, Chris Bergevin, Tod Cadwallader, Hyun-jeong Han, Robert Thompson | Dynamical systems, chaos and control | Ercolani, Indik, Lega, Hsu |
| Student(s) | Project Title | Advisor(s) |
|---|---|---|
| Chris Bergevin, Po-Jen Huang, Steve Steinke | Synchronization of chaos, delay, and application to the Ikeda map | Indik, Ercolani, Lega |
| Student(s) | Project Title | Advisor(s) |
|---|---|---|
| Chris Sinclair | Java Applets | Ercolani |
| Student(s) | Project Title | Advisor(s) |
|---|---|---|
| Joseph Thomas | A Computational Approach to Finding Irreducible Representations | Lux |
| Marco Lopez | A measure on Self-avoiding Loops in the Complex Plane | Kennedy |
| Andrew Pyzdek | Bridge Courses in the United States | Dorin Dumitrascu |
| Michelle Solis | Quantum Information and Teleportation | Wehr |
| Student(s) | Project Title | Advisor(s) |
|---|---|---|
| http://www.math.arizona.edu/~ura/081/Schaeffer.Amanda/Final.pdf Representations | 1 | |
| http://www.math.arizona.edu/~ura/081/Mackey.Andrew/Final.pdf Transform | 1 |
| Student(s) | Project Title | Advisor(s) |
|---|---|---|
| Andrew Mackey | Cayley Graphs and the Discrete Fourier | |
| Amanda Schaeffer | Coxeter Groups and Complex |