Master's Degrees Awarded since 1977

Also see the complete list.

Year	Recipient	Advisor	Dissertation Title	Post graduation activity
1977	Nancy Wallis	W. R. Mann	Aspects of Newton's Method
	Donal Henry	S. Cambanis	The Stochastic Integral and the Stochastic Differential Equation
1978	Webster Snapp	A. Mewborn	Generalized Inverses of Linear Operators on Finite Dimensional vector Spaces with Applications
	Allan Cravetz		Essentials for Matroid Erection
	Ruth Dover	J. Cima	Some Complex Manifolds
	Roger Gray	B. Marcus	A Topological Approach to Equivalency in Dynamical Systems
	Michael Branton	W. L. Smith	Some Elementary results from Queuing Theory
1979	Bruce Kitchens	B. Marcus	Tori! Tori! Tori!
	Marek Kossowski	J. Damon	An Application of the Generalized Malgrange Preparation in the Study of C singularities
	Robert Moore	R.Heyneman	Hurwitz Problem and Some Characterizations of the Classical Real Division Algebras
	Elizabeth Wade	D. Kelly	The Pulse Process Model
	Patricia Madison		An N-Body Integration program as it Relates to the Solar System
	Gary Brooks	H. Bhattacharya	Factor Analysis : A Parsimonious Solution
1980	Charles Fleming	M. Schlessinger	Weierstrass Points
	Joanne Thomer	L. Geissinger	Young Tableaux and the Robschnuth Correspondence
	Frank Sullivan	S. Newhouse	Morse-Smale Gradient Flows
	Raymond Buck	J. Schoenfield	O#: Definition and Implications
1981	Zach Cox	J.Pfaltzgraff	The Representation of Functions Mapping onto Domains Convex in the v-Direction
	Margaret Paul	D. Kelly	An Investigation of Urn Model Simulations of the Simplex Algorithm
	Philip Pennance	J. Pfaltzgraff	Elementary Properties and Applications of Hardy Functions in the Upper Half Plane
	William Rayenes	B. Marcus and K. Petersen	An Interpretation of Two Articles by P. A. Franaszek
	Mary Martin	W. Smith	Bounds for the Minimum Number of Generators Required for Invertible Ideals of Pruefer Domains
	J. Christopher Mitchell	R. Heyneman	Satellite and Derived Functors
1982	George Wilkens	R.Gardner	Universal Properties of Twisting Cochains
	John Wilson	L. Geissinger	An Introduction to Chemical Applications of Symmetry Groups
	Paul Morris	R. Gardner	The Fundamental Equations of Surface Deformations and Two Applications
	Kathy Williamson	D. Kelly	Markov Chain Models for Simplex Algorithm Behavior
	J. Michael Barnette	W. R. Mann	Iterative Methods for the Approximation of Fixed Points in Banach Spaces
	James Campbell	J. Pfaltzgraff	Moebius Transformations in R^n and a Theorem of Ahlfors
1983	Paul Bourdon	J. Cima	The Riemann Zeta Function
	Gerard Thompson	R. Gardner	Background and Commentary on Sophus Lie's 1874-5 Contact Transformation Paper
	Mark Smiley	S. Newhouse	Relations Between Hausdorff Dimension, Lyapunov Exponents and Entropy
	David Monn	N. Kerzman	Filters, Fourier Analysis and Complex Analysis : How They Are Related
	Charles Gunn	T. Brylawski	A Computer Implementation of the Two-Dimensional Crystal Groups : Users Manual and Technical Manual
	Harry Hoke	J. Plante	Invariant Measures on Locally Compact Spaces
1984	Jonathan Weston-Dawkes	J. Pfaltzgraff	Applications of the Loewner Differential Equation	Bell Northern, Texas
	Scott Chapman	W. Smith	Algebraic Number Theory in Q[radical(-5)]
	Chung Wing Sze	F. Wright	A Novel Description of Certain Domains with Implications for the Euclidean Algorithm
	Linda Moniz	N. Kerzman	The Construction of Riemann Surfaces Arising From Polynomials
	Philip Daves	K. Petersen	Some Applications of Information Theory to Biology
	Karen McCoy	J. Cima	The Fast Fourier Transform
1985	Rudolph Zalesak	R. Gardner	A Theorem of Chern in the Theory of G-Structures
	Victor Khaykin	D. Kelly	A Curve Fitting Method for Neurophysiological Data
	Elizabeth Bourgain	W. Smith	The Binomial Polynomials
	John Sligar	S. Goodman	On Fibering Oriented Pretzel Links
	Charles Grissom	R. Gardner	The Method of Moving Frames and a Surface Deformation Problem
	Mahmud Masri	W. Wogen	Compact Composition Operators on the Nevanlinna and Smirnov Classes
	Robert Bass	J. Pfaltzgraff	Construction of Conformal Maps Onto regions Bounded Below by Certain Graphs
	Daniela Calvetti	J. Plante	Manifolds which Admit R^n Actions
1986	Maria Hernandez	D. Kelly	The Effects of Random Perturbation in Class IV Cellular Automata
	Elaine Dieter	T. Brylawski		Lecturer, UNC-CH
	Paul Spurr	L. Geissinger	Linear Codes over GF	Integon Insureance Company, Winston-Salem, NC
1987	David Banks	L. Geissinger	Bounds on the Period of Second Order Linear Recursions on Cyclic Groups	Continued Grad School, UNC, Computer Science
	Brian Beasley	T. Brylawski	Selecting an Optimal Enciphering Exponent for the RSA Cryptosystem	Virginia Commonwealth University
	Brian Henderson	W. Smith	Integer Valued Polynomials in Q[x]	NC State, Raleigh, NC
	Jane Kulesza	J. Plante	On Limit Cycles and Critical Points of Quadratic Differential Systems	NC State, Raleigh, NC
	Michael Murray	J. Tolle	Iterative Solutions of Linear Systems	Northern Telecom, RTP, NC
	Francis Raymond	A. Mewborn	Classification of Finite Reflection Groups	Cont. Grad School, UNC-CH
	Robert Tate	K. Murphy	Analysis of a System of Differential Equations Modeling Neural Networks	Insurance Company
	Hendrick van Deventer	R. Gardner	Isometric Deformations of Surfaces that Preserve Principal Directions	Commodities Firm In Rochester, NY
	Jing-Shiarn Wang	J. Damon	Some Methods for Solving Hamiltonian Systems near Equilibrium Points
1988	Bhagirath Thaker	R. Gardner	Basic Concepts - Generate a Perspective Image of a 3-D Wire Frame Model	NCCU, Durham, NC
	Kirk Bittler		Algebras of Finite Representation Type
	Anna Boettcher	Kelly/Murphy	A Study of Self Organizing Neural Nets with Random Inputs	Ferris State University, Big Rapids, MI
	Terry Bridgeman	A. Mewhorn	Implementation of the Buchberger Algorithm in Solutions to Systems of Multivariable Polynomials	UNC-CH
	Mary Goetting	A. Mewhorn	Quasi and Pseudo Frobenius Rings	Teaching at a college in Pennsylvania
	Michele LeBlanc	J. Pfaltzgraff	An Introduction to Continued Fractions	Wabash College, Crawfordsville, CA
	Mark McCombs	S. Goodman	Reviving High School Geometry: A Comparative Approach
	Michael Reed	S. Newhouse	Dynamics of Iterative Maps
	Jeanette Sutherland	T. Brylawski	Planar Graph Theory from the Perspective of Rectangled Rectangles
	Gustav Grosch	J. Damon	Robots and Topology
	Kathryn Mateer	J. Sonner	Construction of a Cokernel in the Topos of Sets and Functions
	Lisa Notz	D. Kelly	Finding Structure in Neurophysiological Data
	Anne Miller Raymond	A. Mewborn	Designs and their Automorphism Groups
	Paul Weiss	R. Gardner	Geometric Invariants of the Multi-resolution Stack
1989	Randall Kiel	A. Mewborn	Spectra of Nonnegative Matrices
	Madhumati Raju	K. Murphy
	Sandra Bisese	J. Tolle	Conjugate Gradient and Broyden Methods for Linear Systems	Ph.D. program in Operations Research, UNC
	Joseph W. Labrie	K. Murphy	Dopamine Receptor Binding: A Comparison of Models and Parameter Estimation
	Norma Jane Holland	R. Gardner	A Group Theoretical Approach to the Methodof Moving Frames
	Lori Finch Kiel	R. Heyneman	Clifford Algebras
	Linda Akel	J. Plante	Ruler and Compass Constructions of Regular Polygons
	Aubrey Humphries	K. Petersen	A Study of Examples of Subshifts of Finite Type
	Homer White	K. Petersen	The Pointwise Ergodic Theorem and Related Analytic Inequalities
1990	Winona Black	W. Smith	Units in the Ring of Integers in Q[radical(d)] where d is a square free integer	St. Louis, MO
	Daniel Levi	R. Proctor	Plane Partitions with Symmetries, Alternating Sign Matrices and Product Enumerations	Advacare Network Services, Wayne, PA
	Tracey Swartz	R. Cohen	A Study of the Lanczos Algorithm
1991	Kristin Rillema	S. Newhouse	Error Analysis and the FFT	Glaxo, Durham, NC
	Larissa Bucchi	R. Gardner	Ridge Detection on Surfaces	Teacher at a community college, CT
	Shu-Hai Chang	R. Cohen	A Study of Several Methods for the Symmetric Eigenvalue Problem
1992	James Bennett	J. Stasheff		Regis College, Colorado Springs, CO
	Diana Kaplan	A. Mewborn		Thackley School, Terrytown, NY
	Steven Shalit	A. Mewborn	Generalizing the Brauer Group	Visiting Lecturer, UNC-CH, Math. Dept
	John Wilson	D. Kelly	Data Analysis Using Fourier and Wavelet Transforms	Milliken and Company, Spartanburg, SC
	Peter Ellis	K. Murphy	A Numerical Solution to the Estimation of Parameters in a Boundary Value Problem Using an Augmented Lagrangian Method	Visiting Lecturer, UNC-CH, Math. Dept
	William Tenney	J. Tolle	A Solution to a Nonconvex Quadratic Problem Using an Active Set Model	U. of Maryland, Unit 29216, APO AE 9010
1993	Katherine Roegner	W. Smith	The Ring of Integer Valued Polynomials of a Quadratic Number Ring	Grad student, Tech, Universitat Berlin, Berlin, Germany
	Jeffrey Townsend	N. Kerzman	Bertrand's Theorem	Research Triangle Park, Durham, NC
	Kevin Burns	J. Tolle	Exploring Globally Convergent Modifications to Newton's Method for Solving Unconstrained Minimization Problems	US Air Force
	Christopher Zobel	J. Tolle	An Adaptive Tchebychev Algorithm for Solving Large Nonsymmetric Systems of Nonlinear Equations	Ph.D. program, University of Virginia
	John Peach	D. Kelly	An Analysis of Genetic Algorithms	Ph.D. program, NC State University
	Deidre Goodwin	R. Proctor	Using Schur Functions and Young Tableaux to Interpret a Basic Hyper Geometric Identity
	Thomas Tegtmeyer	N. Kerzman	Analytic Mappings of Multiply Connected Domains
1994	Jennifer Laveglia	J. Plante	Exploring the Lorenz System	Community college in Seattle, WA
	Amal Al-Amleh	J. Tolle	Symmetric Rank One Trust Region Algorithm for Unconstrained Minimization	Univ. of Rhode Island, Ph.D. program
	Mathijs Brentjens	K. Murphy	Modeling AIDS: A Preliminary Study	Research Support Specialist, Hospital in NY
	Alice Crow	T. Brylawski	The Seventeen Crystallo-graphic Groups and Some Subgroup Relationships	University of Memphis, Memphis, TN
	Lisa Gustavson	D. Kelly	Maximum Likelihood Estimates of Sensory Thresholds	D. E. Shaw & Company, NYC
	Maura Gallagher	W. Smith	Rings of Integer Valued Polynomials	Consulting firm, Boston, MA
1995	Sally Clark	W. Smith	A Study of Minimal Systems and other Number Theoretic Topics Using Mathematica
	Karen Brown	W. Smith	Factorization in Orders of Quadratic Number Rings	Louisburg College, Louisburg, NC
	Kimberley Collins	I. Assani	J. Bourgain return times theorem	Ph.D. program, University of South Carolina
	Kristen Haring	J. Stasheff	On the Events Leading to the Formulation of the Gerstenhaber Algebra : 1945-1966	Ph.D. program in History of Science, Harvard Univ
	Donald Wickelgren	R. Gardner	A geometric Model for the Skeleton of 2-D Grey Scale Medical Images at Single Scale	Computer Programmer, IBM, Research Triangle Park, Durham, NC
	Shobhana Murali	S. Goodman	A Rate 2/5 Code for the (3,8) Run Length Limited Shift	Ph.D. program, Georgia Tech University
	Darin Kalisak	J. Tolle	A Study of a Limited Memory BFGS Algorithm	Consumnes River College, Yuba College, Chapman University
	Chawne Kimber	A. Mewborn	Classifications of Pruefer f-rings	Ph.D. program, University of Florida
	Matthew Mitchell	A. Mewborn	Prime and Semiprime Group Algebras and Strongly G-Graded Rings
	Viktor Sats	K. Murphy	Integral Equations, Their Applications and Numerical Solutions	Continuing graduate studies at UNC-CH
1996	Andrew Winsberg	J. Tolle	The Clustering of Eigenvalues of Toeplitz Systems with Circulant Preconditioner
	David M. Behrman	R. Proctor	An Investigation of Hook-Length Posets
	Christopher Kees	J. Tolle	The Development of an Object-Oriented Code for Solving Differential-Algebraic Equations	Environmental Sciences Graduate Student
	Akira Negi	T. Brylawski	An Excursion into the Complexity of Some Algorithms in Algebra	Research Triangle Park, NC
	Sarah Shalf	T. Brylawski	Algorithms for Theorems in Graph Theory	Attorney, Bondurant, Mixson & Elmore, LLP, Atlanta, GA
	Michael Tuchman	S. Newhouse	Realization of Inverse Limits as Attractors
1997	David Johannsen	J. Tolle	An Interior Point Method for Solving Large Scale Programming Problems	Consult, Microstrategy, VA
	Dan Turner	S. Goodman	Local Bifurcations
	Edward Overton	T. Brylawski	A Foray into Uniprocessor Real Time Scheduling Algorithms and Intractibility	SAS
	Sarah Wilmesmeir	R. Proctor	Toward Characterizing Posets with the Jeu de Taquin Property	Northern Telecom
	Russell Jackson	K. Petersen	Iterated Function Systems and a Measure on Julia Sets
1998	Andrea Boright	J. Damon		One Room Systems, RTP
1999	Robert Pratt	T. Brylawski	New Bounds for Largest Planar Graphs with Fixed Maximum Degree and Diameter	Entering Ph.D. program in UNC-CH Operations Research
	Evelyn Gordon		Math for Teachers and Poets: Making Sense of Mathematics	High school teacher
	Suzzane Buchta	J. Tolle	Speech Recognition: A Simulation Using Hidden Markov Models and Artificial Neural Networks
	Benton McCune	J. Tolle	A Heuristic Approach for the Quadratic Assignment Problem
	Michael Freeze		Lengths of Factorizations in Dedekind Domains
2000	Shelby Funk	J. Hawkins	Using A Modified Size Measure to Guide the Search in the Ordered Semantic Hyper-Linking Theorem Prover	Ph. D. program in Computer Science at UNC-CH
	Corwyn Newman	J. Tolle	A Nonconvex Nonlinear Constrained Minimization Algorithm
	Edouard Din	T. Brylawski	Finite groups Presented as a Quotient of a Crystallographic Group by a Translation Subgroup	PhD Candidate in Design Computing at Georgia Institute of Technology - Atlanta
	Jesse Frey	J. Pfalzgraff	Variations and Extremal Problems for Plane Convex Harmonic Maps	Ph.D. in Stat at Ohio State
2001	Rachel DeCoste	P. Eberlein	The Geometry of Lie Groups with a Left Invariant Metric	Continuing grad school at UNC-CH
	Leonard Choup	I. Assani	Ergodic Decomposition of an Action of a Countable group and Mean Convergence of the Averages of f(T^n)g(S^n) when S and T Commute	Ph.D. program at University of California at Davis
	Holly Weeks	J. Wahl	Cubic Reciprocity
	Bryce Weaver	J. Pfaltzgraff	Extremal Distance and Capacity
	Matthew Mickelson	W. Smith	Minimal and Almost Minimal Zero Sequences in All-Divisor Sets
	Navin Vembar	T. Brylawski	An Oriented Matroid Determinant	Ph. D. program in mathematics at UNC-CH
2002	Greg Robbins	G. Forest;D. Adalsteinsson	Mean Field Kinetics For Polymerization and Gelation
	Sunghoon Chung	J. Damon
	Jingzhou Wu	P. Eberlein	Comparison Theorems and Index Theorems in Riemannian Geometry
	Mary Joyce Plott	W. Smith	Block Monoids over the Class group of a Krull Domain
	Jennifer Whitehead	P. Eberlein	Compact Lie Groups and Clifford Algebras
	Kimberly Noonan	I. Assani	Birkhoff's theorem and the return times for the tail	Ph.D. program in computer science at UNC-CH
2003	Sarah Batey	D. Adalsteinsson	An application of Level Set Methods in Image Processing
	Allison Hall	G. Forest	Modeling Nitrogen Dynamics in Streams with Surface-subsurface Exchange
	Jennifer Hudson	J. Huang	Spectral Deferred Correction Methods for ODE Initial Value Problem	Research Scientist, Department of Defense
	Andrew Keller	T. Elston	Markov chain Monte Carlo Methods applied to Kinesin Models
	Kate Raatzs	J. Wahl	Classification and Presentation of Coxeter Groups
	Bryan Sheldon	J. Damon	Singularity Theory Analysis of Shocks for Unit Normal Propagation and the Blum Medial Axis
	Suja Thomas	P. Tiesinga	Population Density Methods for Modeling on Neuronal Networks
	Elizabeth Wrobel	F. Hajir	On a Certain Class of Generalized Laguerre Polynomials	Ph. D. program in mathematics at UNC-CH
	Yichao Wu	J. Huang	Quantitative Calcium Signaling in Plants	Ph. D. program in statistics at UNC-CH
2004	Emily Gamber	J. Hawkins	Gilman's classification of one-dimensional cellular automata	Ph.D. program in mathmatics at UNC-CH
	Christopher Gann	P. Eberlein	The geometry of semi-Riemannian manifolds	Lecturer in mathematics at UNC-CH
	Barbra Gregory	K. Petersen	Entropy and complexity in music: some examples	Lecturer at Catawba Valley Community College
	Tara Nelson	J. Hawkins	Combinatorial characterizations of invertible one-sided cellular automata	Mathematics teacher at Jordan High School, NC
	Todd Riley	T. Elston	Mathematical modeling of plasmid copy number control mechanisms
	Stephanie Upshaw	M. Williams	On Kreiss symmetrizers and the existence of solutions to hyperbolic boundary problems
2005	John Bakken	G. Forest	Modelling land use cover and change with cellular automata
	Cheryl Gann	R. Proctor	Mathematics package for posets and investigations of the Littlewood-Richardson Poset conjecture
	Jeanette Olli	R. Rimanyi	Polynomial interpolation in several variables	Ph. D. program in mathematics at UNC-CH
	Omar Tolbert	R. McLaughlin	Numerical inversion of the cell problem for homogenization	Financial math program at UNC-Charlotte
2006	Christine Belledin	S. Goodman	The tangle model for site-specific DNA recombination	Mathematics teacher at NCSSM
	Trisha Gilbreath	W. Wogen	The construction of complex symmetric operators	High school mathematics teacher in Mississippi
	Swathi Guda	P. Mucha	Rayleigh-Taylor Instability in Sedimenting Suspensions
	Jessica Hubbs	J. Hawkins	Modeling HIV infection using a probabilisitc cellular automaton
2007	Ryan Thorpe	P. Eberlein	Naturally Reductive 2-Step Riemannian Nilmanifolds	Liberty Mutual, Boston, MA
	Akua Agyapong	R. McLaughlin	Flight Times Faxen Relations, Low Reynolds Number Flow	AVOS Life Sciences, LLC, Morrisville, NC
	Thomas Aydlett	T. Cima	On Jentzsch's Theorem and the Zeros of the Taylor Polynomials of the Derivative of Special Univalent Maps
2008	David Runkle	J. Hawkins	An Exploration of Schottky Groups	Faculty, Carrboro High School
	Matthew Bonzek	R. Rimanyi	An Introduction to Tropical Geometry	Faculty, Hargrave Military Academy
	Jennifer Joyce Young	Sorin Mitran	Mechanics of a Blebbing Cell	Ph.D. Student, UNC-Chapel Hill
	Andrea Richmond	J. Hawkins	Modeling HIV Dynamics with Differential Equations	Lecturer, University of Oregon
2009	Katherine Benedetto	J. Hawkins, M. Reiter	The Reiter-Sekar-Zhang Puzzle Scheme: A System for Preventing Collusion Attacks in File Sharing Technologies	Software design, Low Fat Designs, Raleigh, NC
	Joel Pereira	J. Damon	The Cohen-Macaulay Property for Monomial Ideals in Conical Algebras
	Benjamin A. Perryman	P. Mucha	Agent Based and Mathematical Modeling of Triad Census Counts
	Kelly Van Ochten	R. Rimanyi	Stiefel-Whitney Characteristic Classes
	Matt Willis	R. Rimanyi	Symmetric functions and orthogonal polynomials
2010	Eric Daniel	K. Petersen	Normal numbers and normal sequences	Woodmen of the World Life Insurance Society
	Swarnava Mukopadhyay	S. Kumar	Decomposition of conformal blocks	UNC Chapel Hill Ph.D. program
	Adam Graham-Squire	D. Arinkin	Formal reduction of the operator d/dx+F to canonical form	UNC Chapel Hill Ph.D. program

Master's Degrees Awarded since 1977

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