Student Research:
Masters Theses, Honors Projects and Senior Projects
Masters Theses
Masters Theses/Projects (check library)

Kellyann Cook, "The Quantum Fourier Transform And Quantum Computation," advisor, Fall 2022.

Sarah Gonka, "An Investigation Of The Writings Of Gauss, Tait, And Alexander On Knots," advisor, Fall 2022.

Kevin Cosnahan, ''Asymptotic Analysis of 1D Path Integrals via Resurgence,'' advisor, 2021.

Rachel Willis, ''Hidden Markov Model Application for Unsupervised Machine Learning Clustering of Waveform Data During Induced Seismicity,'' advisor, 2020.

Carlos Ramos, ''Exploring the HodgkinHuxley Action Potential Model,'' advisor, 2019.

Michael Byrd, ''Using Quantum Algorithms to Solve Linear Systems,'' advisor, 2019.

Greg Johnson, "Geometric Approaches to the Characterization of Qubits and Entanglement," advisor, 2017.

Adam Santoro, project, advisor, 2017, incomplete.

Kevin Carlin, project, "The AKNS System, Loop Solitons, and Backlund Transformations.," advisor, 2015.

Cody Ashby, project, "Defining and Applying Fractional Calculus," advisor, 2015.

Caylah Retz, "Symmetries of the K(m,n) Dispersion Equation," advisor, 2012.

Linda Crump, advisor, 2011, incomplete.

Kara Blalock, "Spiral Waves in Cartesian, Polar, and Spherical Geometries," advisor, 2010.

Larry Tingen, "The Julia and Mandelbrot Sets for the Hurwitz Zeta Function," advisor, 2009.

Rebecca Wilkinson, "Numerical Explorations of Cake Baking Using the Nonlinear Heat Equation," advisor, 2008.

David Neal, "Finite Difference Approximations of AdvectionDiffusion Equations for Modeling Shark Populations," advisor, 2007.

Andrew Rose, "Numerical Simulations of the Stochastic KdV Equation," advisor, 2006.

Sarah Ives, “Julia and Mandelbrot Sets of Riemann Zeta Function”, advisor 2001.

Curtis Wayne Martin, Synchronization in Communications, advisor 2001, not completed.

Srinath Vadlamani, “Lie Symmetries of the Vaidya Equations”, advisor 2001.

Michael Key, “Rossby Wave Scattering in the TwoLayer Model”, advisor 2001.

Donald Turner, Computing Digits of Pi, advisor 2000, not completed.

Kathy Langone, Nonthesis option, "Controlling Chaos in Dynamical Systems," advisor 1998.

Alejandro Acuna, "Lie Symmetries of the ZabolotskayaKhoklov and Two Dimensional KdVBurgers Equations," advisor 1996

Somkiat Supanyachotskul, “Scattering of Rossby Waves off a Periodic Barrier”, advisor 1996, not completed.

Robin Glover, "The Onset of Chaos in TwoDimensional Discrete Maps," advisor 1994.

Valerie Melvin, "Theory and Application of a Maximum Principle for the Optimal Control of Serially Connected Flexible Structures," coadvisor 1993.

Jorge Zazueta, "Symmetry Reductions of Partial Differential Equations'', advisor 1992.
Masters Thesis Committee

Brenden White, "On the Coefficients Of Ternary Cyclotomic Polynomials and Their Families," 2020.

Trinity White, "Lattice Based Cryptanalysis of NTRU and RSA," 2019.

Christine Craib, "Disease Transmission Dynamics with a Demographic Allee Effect," 2019.

Troy Kling, "The Distance Between c^n and Z," 2018.

Samuel T. Pickett, "The Mathematics of Color Sensing," 2017.

Nikolai D. Lipscomb, "SemiLagrangian Numerical methods for systems of Timedependent Partial Differential Equations," 2016.

Sofya Zaytseva, "Periodic Solutions and Turing Patterns in an Autocatalator Model," 2014.

Daniel Hancock, "Quaternionic Approach to the Spinning Top with Simulations in MATLAB," 2014.

Gary Crosby, "Geodesic Solutions of the MorrisThorne Wormhole," 2012.

Chris Canady, "Examination of Tidal Currents in Onslow Bay Measured by Moored Acoustical Doppler Current Profilers," 2007.

Ben Speckhart, “Shallow Water Response to Hurricanes in Onslow Bay, N. C.”, 2004.

Genevieve Haviland, “Recreational boating traffic and environmental noise in the Wilmington, North Carolina intracoastal waterway : possible implications for bottlenose dolphins”, Biology, 2000.

Matthew Griffith, “Moments and Densities of Traveling Wave Solutions of Stochastic BurgersLike Equations”, 1998.

Stephen Felzer, "Rational and Complex Periodic Points of Polynomial Functions," 1996.
Honors Projects
Honors Projects (Math Department List, Physics Department List)

Hayley Urbanek, The Figure Eight Knot Complement, Fall 2022.

Christian Koertje, ''Relativistic Dynamics: A Journey to the Center of a Black Hole,'' Advisor, Spring 2021.

Hassan Mason, ''Lattice Boltzmann Method,'' Advisor, Spring 2019.

Rachel Willis, ''Application of Spherical Harmonics to Elastogravitational Deformations of the Earth, Advisor,'' Spring 2019.

Nicholas Sterling, "Symmetries in Relativistic Quantum Mechanics," Physics, Advisor, Spring 2018.

Elizabeth Eakin, "Probing the Mandelbrot Set," Mathematics, Advisor, Spring 2017.

William Fox, "Exposition on Gravitational Wave Theory and Detection," Physics, Advisor, Fall 2016.

Nicolas Corak, "Designing a PERBased Introductory Physics Lab," Physics, Advisor, Fall 2010.

Erik Minges, "Numerical Simulation of Air Pollution Dynamics Due to Point Source Emissions from an Industrial Stack," Physics, Advisor, 2010.

Lisa Soberano, "The Mathematical Foundation of Image Compression," Mathematics, Advisor, 2000.

Scott Watson, "An Exposition on Inflationary Cosmology," Physics, CoAdvisor, 2000.

Bradley Marshall: "Dark Soliton Behavior in Fiber Optics Subject to Perturbations," Physics, Advisor, 1994.

Mark Hays, “Numerical Simulations of Solitons”, St. Lawrence University, Mathematics, CoAdvisor, 1989.
Honors Thesis Committees

Kaitlyn Hohmeier, "Representation Theory of Semisimple Lie Algebras," Fall 2021.

Amrit Dhillon, "An Investigation of the Antikythera Mechanism," Physics, Spring 2019.

Matt Briggs, "Scientific Astrophotography in the Visible Spectrum," Physics, Spring 2019.

Katijah Rae Amir Hakim, "Measuring Chemistry Students' Cognitive Load On Working Memory: The Development Of An Inventory Of Loadinducing Topics In Biochemistry," Chemistry, Spring 2019.

Makayla Moster, "Conforming Realistic, Procedural Tree Models to UserDrawn Shapes," Computer Science, Spring 2019.

Michael Byrd, "Inverse Problems in Algebra and Number Theory," Mathematics, Spring 2018

Nicholas Sterling, "Concerning the Ontology of Spacetime," Philosophy, Fall 2017.

Trinity White, "Modeling Twisted Tori," Mathematics, Spring 2017.

Christine Craib, "A Mathematical Analysis On The Transmission Dynamics Of Neisseria Gonorrhoeae," Fall, 2016, Mathematics, unofficial.

Christopher Dolan, "Testing, Installation, Analysis And Calibration Of The Pair Spectrometer Detectors At Thomas Jefferson National Accelerator Facility," Physics, Dec 2015.

Ashley Deleon, "Muscle Fiber Structure Of Basking Sharks (Cetorhinus maximus)," Biology, Nov 2015.

Christina Lee, "The Sweet Spots of Tennis," Mathematics, May 2012.

William Morris, "Oxygen Dissociation on a BoronDoped Carbon Nanotube," Chemistry, May 2011.

Nicole Rocco, "Representing Integers as Sums of Small Integer Powers," Mathematics, May 2010.

Jeffrey Naro, "The Interaction of the CellPenetrating Peptide TP2 with Lipid Membranes," Chemistry, May 2010.

Luke McMurtray, "CIS/TRANS photoisomerization of substituted styrylquinolines ," Chemistry, May 2010.

Chelsea Hopkins, "Predicting Shoreline Evolution Using a Genetic Algorithm," Physics, May 2010.

Matthew Reese, "Beam Test Result for a Prototype PbWO_{4} Calorimeter," Physics, May 2008.

Charles E. White, “Dynamic Tracking of FreeSwimming Whale Groups Using Digital Acoustic Recording Tags”, Computer Science, May 2007.

Justin Zoppe, “A variational solution to the timedependent SchrÃ¶dinger equation by a restricted superposition of frozen Gaussian wavepackets”, Chemistry, May 2005.

Jason Whitehead, “Exploration of calcium selectivity in protein: analysis of Ca2+ binding proteins employing crystal structure census, computational analysis, and glass electrode potentiometry”, Chemistry, May 2005.

Greg Cockrell, “The radiation chemistry of formic acid and oxalic acid in aqueous solutions”, Chemistry May 2005.

James Harrington, “The Possible Role of Relativistic Effects in the Formation of Cadmium Complexes with Crown Ethers”, Chemistry, 2004.

Lanette Marett, "Determination of micromolar levels of alcohols in aqueous samples by enzymatic conversion of alcohols to aldehydes, DNP derivitization of aldehydes, and HPLC analysis," Chemistry, May 2003.

Lindsay Boone, "Progress towards the synthesis of novel Acyl Homoserine lactones and other quorum sensing derivatives," Chemistry, Dec. 2003.

David Sutherland, Study of Tides in the Onslow Bay, Mathematics, Spring 2001.

William Hodge, “TwoLevel Models”, Physics, Spring 2001.

Donna Gardner, "Optimization of a High Performance Liquid Chromatographic Method to Determine Formaldehyde," Honors Committee, Chemistry, 2000.

Matthew Cheely, "A Fractal Analysis of Flick Motoneurons in the Blue Crab, Callinectes Sapidus," Biology, 2000.

Mickie Marlowe, "Nuclear DNA Content of Six Species of Desmids," Biology, 1998.
Senior Projects
Senior Seminars (MAT 495 or PHY 495)
Mason Cotter, Anna Perera Bischuk, John Bennett, "Tidal Decomposition Using Fourier Transform," Math 2022.

Kyle Zacharias, "The Physics of The Photovoltaic Effect and The Efficiency of Solar Energy," Physics, 2022.

Eli Fannin and Christian Koertje, "Nonlinear Dynamics of the EmdenFowler Equation," Math 2021.

Kellyann Cook, Dakota Tillery, and Samuel Jurewicz, "Mathematical Theory of Diffraction," Math 2020.
Corey Dearing, Caroline Giles, Jake Stapleton, "Mathematical Optimization in Game Theory," Math 2019.
Nicholas Bellm and Jackson Matheny, "Dynamic NonLinear Applications of Chaos," Math 2019.
Kellyann Cook, "Tracking the Motion of a Soccer Ball," Physics 2019.
Amber Link, "Dark Matter and Gravitational Lensing," Physics 2019.
Emmanuel Rodriguez, "Space Weather And The Effects On Technology," Physics 2019.
Dakota Tillery, "Relativistic Effects and Global Positioning System," Physics 2019.
Jackson Matheny, "Chaos Theory within the Chua Circuit," Physics 2019.
Kaitlin Philcox, Rachel Towner, and Brittany Whitener, "Mathematics Behind Chladni Figures," Mathematics 2018.
Youssef R. Driss, Michael J. Suggs, and Austin D. Ray, "Methods of Numerical Integration of Whitham's FCurve," Math 2018.
Shyam Jaswani and Brady Sowers, "Comparing Numerical Methods of the Kortewegde Vries Equation," Math 2017.

Kevin Cosnahan, "Path Integral Formulation of Quantum Mechanics," Physics 2017.

Cassidy Nix, "Wormholes," Physics 2017.

Aaaron Holtzclaw and Shean Scott, "Applications of Fourier Transforms in Quantum Mechanics & Diffraction Theory," Math 2017.

Erick Holguin, "Mechanisms of Cuprate Superconductivity," Physics 2016.

Cassidy Nix and William Fox, "Spacetime Geodesics and their Application to Schwarzschild Dynamics," Math 2016.

Carter Nivens, "Helmholtz Resonators," Physics 2016.

Tyler Burger, "Gauge Theory," Physics 2016.

Youssef Driss, "Shock Waves and Supersonic Flow," Physics 20156.

Gregory Johnson, "Introduction to Gravitational Waves," Physics 2015.

Tanner Gordon, "Introduction to Quantum Computing," Physics 2015.

Devan Sestito,"Signal Compression," Math 2015.

Jenna May, "Math Meditation," Math 2015.

Tyler Gammp, "Solutions to the Friedmann Equations," Math 2015.

Ilona Reding, "Mathematical Model of The Ebola Virus," Math 2014.

Yannik Torres Kellinghusen, "Aerodynamics of Soccer Balls," Math 2014.

Cameron Washburn, "The Knapsack Encryption Problem," Math 2014.

Amber Watson, "Hydrogenic Wave Functions," Math, 2014.

Evan Doherty, "The Mechanics of Surfing," Math, 2014.

Alexandra McCollister, "The Physics of Earthquakes Modeled by the BurridgeKnopoff TwoBlock StickSlip System with Friction," Physics 2014.

KaLeigh Register, "Prime Numbers," Math 2013.

Brook Jordan, "Combinatorial Game Theory," Math, 2013.

Kevin Carlin, "Nonlinear Wave Equations and the Soliton Solution," Math, 2013.

Shane Wall, "Shallow Water Wave Modeling, The Boussinesq Approximation, and Bathymetric Design," Math, 2013.

Madison Highfill, "Population Modeling," Math, 2013.

Kevin Carlin, "Reflectionless Potentials and the KdV Soliton," Physics 2013.

Robert Vasil, "On Hearing the Shape of a Drum," Math, 2012.

Steven Bache, "Resonance in the Solar System," Physics, 2012.

Ashley Martin, "Striking a Beat," Physics, 2012.

Hillary Williams, "In the Blink of an Eye," Math 2012.

Sara Bowen, "Reeling in Analysis of a Fly Fishing Rod's Response," Math, 2012.

Ashley Martin, "The Vibrating Membrane," Math, 2012.

Joseph Tubergen, "Can QuantumMechanical Description of Physical Reality Be Considered Complete?," Physics, 2011.

Steven Bache, "Monte Carlo Methods and Nuclear Decay," Math, 2011.

Chad Davis, "Trajectory of a Soccer Ball," Math, 2011.

Brian Kay, "Fate of the Universe," Physics, Physics, 2011.

Justin Logue, "An Introduction to Rotary Winged Flight," Math, 2011.

Caylah Retz, "Fractal Properties and Applications," Math, 2010.

Robert Sizemore, "Quantum Computing," Physics, 2010

Zach Martin, "The Application of Game Theory to Global Counterterrorism," 2009.

Mary Margaret McEachern, From Here to Eternity and Back: Are Traversable Wormholes Possible?, Physics, 2009.

Michael McClellan, NMR, Physics, 2009.

Fernando Schiefelbein, "An Analysis of the HilbertHuang Transformation and its Applications," 2008.

Colin Kreutzer, "Relativity and the Search for Gravitational Waves," Physics, 2008.

Adam Santoro, "Nonlinear Resonances in the Solar System" , 2007.

Diana Streng, "Gravitational Lensing," Physics, 2006.

Michael Grissom, "Mechanics of Surfing," Physics, 2006

Joseph Griffin, Nonlinear ODEs and Drugs, 2006.

Theresa Rowlands, “Relativity and the Gravitational Positioning System”, Physics, 2006.

Emilea Grove, “Chemical Kinetics”, 2004.

Elaine Braman, "Dusty Plasmas," Physics, 2004.

Jerry Lee Jones, Nonlinear Dynamics, Physics, 2004.

Albert Lee, “Relativity and GPS”, 2004.

Joe Kitchins, “The Hydrogen Atom”, 2003.

Samuel Biddle, The Dripping Faucet and Chaos, 2003.

Eric Fales, “The Riemann Hypothesis”, 2001.

Scott Watson, “Inflationary Cosmology”, 2000.

Lisa Soberano, Mathematical Foundations of Image Processing, 2000.

Holly Smith, Chaotic Dynamics of Hyperion, 1999.

Corbin West, "Elliptical Geometry and Applications," 1999.

Scott Baker, Solitons, 1998.

Kimberly Meares, SliderBlock Dynamics and Applications in Geology, 1997.

Jamie Kirby, Wavelets, 1996.

Adam Brand, Plotting Hydrogen Wavefunctions, 1995.

Amy Brown, Penrose Tilings, 1995.

Tobias Friske, Wavelets, 1995.

Farrah Scodius, Spectral Analysis of EKGs, 1995.

Laura Weisenhorn, Solitary Waves, 1995.

Kurt Van Devere, Chaotic Dynamics, 1994.

Bradley Marshall, Numerical Solution of Schrodinger Equation, 1994.
Older Undergraduate Projects

Scott Watson, supervised him for his two seminar talks in September, 1998 on the "Relativistic Correction to Mercury's Orbit".

Mandy Hill and Gwen Jones (Grad), Presented semester long signal analysis seminars for their research with G. Lugo, 1998.

Society of Physics Students Talk, Presented a talk on Chaos, May, 1998.

Sponsor for undergraduate research proposal in Wavelet Transform, Undergraduate Research Fellowship Competition, Spring 1996.

Sponsor for undergraduate research proposal in nonlinear optics, UNCW Undergraduate Research Grant in Science, 1994.

Sponsor for undergraduate research proposal in Painleve' analysis, UNCW Undergraduate Research Grant in Science, 1992.

Supervised undergraduate project on Inverse Scattering for the Regularized Wave Equation, Fall 1993.

Study of perturbations of Painleve' equations, 19923, one undergraduate student.

Study of nonlinear pulse propagation in optical fibers, 1990, two undergraduate students, PEW Grant.

Study of numerical errors in discretizations of the KdV, NLS equations, 1989. two undergraduate students, PEW Grant.
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