Senior Thesis

Catalog Listing Courses in Mathematics Course / Exam Schedule

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The Mathematics Department is one of several departments at Middlebury that requires a senior project. MATH 0704 is intended to be the capstone experience in the major, where, working with the friendly assistance of a faculty advisor, students independently explore in significant depth a topic of their own choosing. In addition to meetings with your advisor, you will meet regularly throughout the semester with your fellow thesis companions to discuss progress, commiserate, and practice the presentation that you will give at the end of the term. There are lists of suggested topics, but some of the most interesting projects are initiated by student suggestions. Perhaps you have taken a course that you sincerely enjoyed and want to learn more about the subject. Perhaps you have read something in a recent journal or heard something at a seminar talk about a new theory or algorithm that you would like to investigate. Often it helps to have conversations with professors you have worked with in previous classes about subjects that they think would be interesting. Areas not covered in the department's elective offerings are fruitful ground for thesis topics.

Bound copies of all theses are retained in a collection of the Middlebury College Library. All of the theses from the previous four or five years are bound and available for browsing in the department's suite in Warner. As you look at the work of your peers you will notice the wide variety of topics students have undertaken. In some cases, the research is a survey of known results of interest to the author, in some cases it is an application of a learned technique to a new problem, and in some exceptional cases there is an attempt to do original research into a previously unsolved problem. No matter what you decide to do, you will get the experience of:

researching mathematical literature,

working independently,

organizing, revising, and writing a 60-100 page paper.

These skills will be of invaluable help to you in graduate or professional school or as you enter the job market.

Presentation day is always a festive occasion. You get to be the expert and share the results of your semester's work with friends, professors, and classmates. Though your grade does not depend on your presentation skills, this too is good practice. Mostly though, it is a day to celebrate and be proud.

Click to see a list of potential topics suggested by faculty members. Below are actual thesis titles from previous years.

2006| 2005 | 2004 | 2003 | 2002 | 2001 | 2000 | 1999 | 1998 | 1997 | 1996 | 1995 | 1994 | 1993 | 1992 | 1991 | 1990 | 1989 | 1988 | 1987 | 1986 | 1985 | 1984 | 1983 | 1982 | 1981 | 1980 | 1979 | 1978 | 1977 | 1976 | 1975 | 1969 | 1967 |
1966 | 1965 | 1964 | 1962 | 1961 | 1959

2006

Abend, Brian '06, "Benford's Distribution" (Abbott)

Bahls, Tim '06, "Turning Ramsey Numbers on Their Heads in Twenty Minutes" (Schmitt)

Brandon, Caitlin '06, "The Underlying Geometry of Special Relativity" (Proctor)

Briggs, Tucker '06, "Numerical Linear Algebra" (Olinick)

Cao, Yanling '06, "Queuing Theory" (Emerson)

Elgoucaem, Assia '06, "Modeling Justice" (Olinick)

Ess, Eli '06, "The Magic of Magic Squares" (Dorman)

Evans, Mary Claire '06, "Arrow's Theorem" (Olinick)

Faroni, Peter '06, "Black-Scholes Option Pricing" (Abbott)

Harrington, Melissa '06, "Geometry of Numbers" (Bremser)

Hinson, Ed '06, "The Mathematics of the Helically-Symmetric Magnetic Field" (Swenton)

Lubans, Peter '06, "Integration, From Riemann to Lebesgue and Beyond" (Abbott)

Maharjan, Pascal '06, "Convex Geometry and the Theorems of Radon and Helly" (W. Peterson)

McMahon, Laura '06, "Cayley Digraphs" (Bremser)

Mohar, Wasil '06, "Homotopy Groups" (Swenton)

Nielson, Christopher '06, "Monohedral Tiling" (Bremser)

Petrics, Greg '06, "Closed Geodesics" (Proctor)

Petsoulakis, James '06, "Fractal Dimension" (Swenton)

Rajaram, Siddharth '06, "Ramanujan Graphs" (Bremser)

Rowe, Benjamin '06, "Axiom of Choice" (Schmitt)

Santolupo, Tony '06, "Square-Saturated Cubes" (Schmitt)

Schirm, John '06, "Brouwer's Fixed Point Theorem and Its Application to Nash Equilibria" (Olinick)

White, Joshua '06, "The Poisson Process With an Application to Queuing Theory" (Emerson)

Williams, Tyler '06, "Measuring Income Inequality" (Abbott)

2005

Berg, Emily '05, "The Completion of Fourier's Analysis" (Abbott)

Bigelow, Amy '05, "Great Scot!--James Stirling and His Numbers of the First and Second Kind" (Schumer)

Nguyen, Trang '05, "Extreme Value Theory" (W. Peterson)

Opara, Uche '05, "Application of Differential Equations to Oscillatory Motion" (Abbott)

Parton, Evan '05, "Penrose's Kites and Darts" (Bremser)

Sabiiti, Emmanuel '05,"Classification of Two Dimensional Crystallographic Groups" (Bremser)

Sarkar, Amrita '05 "Galois Theory and Geometric Impossibilities" (Dorman)

Sullivan, Betsy '05 "Dynamical Systems with Linear Algebra" (W. Peterson)

2004

Bogart, Ryan '04, "The Tacoma Narrows Bridge: The Mathematics of the Collapse" (Olinick)

Cutler, Dylan '04, "Construction of an Order 12 Matrix in GL (4,Z)" (Bremser)
Gajamaragedara, Samitha '04, "Bayesian Statistical Inference" (Emerson)

Gurmu, Yared '04, "Density Relationships in the Addition of Sequences" (Schumer)

Habib, Bilal '04, "Conflicting Theories About Theories of Conflict" (Olinick)

Jiang, Yuqui '04, "Reliability Theory" (W. Peterson)

Koppernolle, Jeff '04, "What's Compactness Got to Do with It? On the Convexity of Chebyshev Sets" (Swenton)

Kraines, Ben '04, "Representation Theory" (Dorman)

Pletcher, Brian '04, "Knots and Polynomials: Exploring the HOMFLY Polynomial" (Swenton)

Rao, Sid '04, "The Four Square Theorem and Its Generalizations" (Schumer)

Shea, Dan '04, "Unique Factorization of Primes and Fermat's Last Theorem" (Bremser)

Wolff, Lindsay '04, "Queueing Theory: An Example and Extensions" (W. Peterson)

2003

Dan, Victor '03, "Digital Cash – A New Era For Money" (Martin)

Dietsch, Nora '03, "Poisson Processes" (W. Peterson)

Dybvig, Tim '03, "CDMA Encoding: Spread Spectrum Using Walsh Codes" (Martin)

Evans, Krista '03, "Randomized Clinical Trials And The Statistical Analysis of the 2x2 Table of Counts"(Emerson)

Faisal, Ammad '03, "Option Pricing Theory: Black-Scholes and Beyond" (Emerson)

Fu, Jiaxin '03, "Range Searching And K-D Trees"

Howley, Natalie '03, "Cryptography: Two Strategies of Secrecy" (Schumer)

Joe, David '03, "Coding Theory" (Bremser)

Koparaov, Dimitar '03 "Computing Molecular Surfaces"

Macomber, Zack '03, "The Montesinos-Nakanishi 3-move Conjecture: True or False?" (Swenton)

Moss, Maggie '03, "Markov Chains And Their Learning Theory Applications"( W. Peterson)

Ott, Katy '03 , "Solving The Dirichlet Problem" (Abbott)

Poppe, Alison '03, "Set Theory And The Infinite" (Gomez)

Rosenfield, Ben '03, The Sensual 'Modular' Form" (Dorman)

Smith, Buster '03, "Welcome to Partitions: Think You Can Add? Think Again" (Schumer)

Soslow, Tim '03, Understanding And Creating Music Expression Using Machine Learning" (Scharstein)

Ugbabe, Padma '03, "A Survey of Machine Translation" (Huang)

Zvoma, Kudzai '03, "Polynomial Factorization: You Know More Than You Think You Do" (Bremser)

2002

Baron, Andy '02, "How to Break RSA" (Martin)

Bier, Jess '02, "Geometry in the Gallery: Two Major Theorems of Convex Geometry, Illustrated in Pictures" (B. Peterson)

Capecci, Brian '02, "NURBS: AIA (another important acronym) (Dickerson)

Chang, Maurice '02, "MPEG, Leading the Multimedia Revolution" (Martin)

Donmez, Eray '02, "Biometrics" (Martin)

Farnham, Stephanie '02, "Incompleteness Completely Unraveled" (Gomez)

Gardos, Steve '02, "Who Was the Genius Who Invented the Computer?" (Briggs)

Johnson, Jesse '02, "An Introduction to Topological Manifolds" (Swenton)

Kuykendall, John '02, "Differentiability on Manifolds" (Swenton)

Lommler, Kim '02, "Triangulation of Terrains" (Dickerson)

Mahony, Mike '02, "Multi-View Stereoscopic Depth Analysis" (Scharstein)

McQuade, Bryan '02, "Machine Learning and the Game of Go" (Huang)

Paku, Fafa '02, "Realistically Rendered Synthetic OpenGL Images: A 'Pure' Test For Stereo Algorithms" (Scharstein)

Ramsey, Chris '02, "Breaking the Game" (W. Peterson)

Richards, Ryan '02, "Metal Lemmings" (Briggs)

Sarioz, Deniz '02, "Voltage Graphs: How to Dodge Graph Isomorphism Testing" (B. Peterson)

Srinivasan, Prashanth '02, "Seeing is Believing: Machine Recognition of Human Faces" (Briggs)

Stuntz, Grayson '02, "Functional Languages: Their Use and Usefulness in Education" (Briggs)

Trail, Robert '02, "A Detailed Analysis of the ASP Model" (Huang)

2001

Brown, Kyla '01, "Matrices and Information Retrieval" (W. Peterson)

Feng, Jin '01, "Convergence Rates of Markov Chains" (Huang)

Haley, Andrew '01, "Martingales: Fair and Unfair Games" (W. Peterson)

Harrington, Mark '01, "Quality of Service Routing" (Martin)

Jacoby, Peter '01, "State of the Art Speech Recognition: How Good Is It, Really?" (Huang)

Knights, Dan '01, "Rubik's Cube" (Scharstein)

Krezanoski, Paul '01, "Rijndael: The Advanced Encryption Standard for the 21st Century" (Martin)

Lanza, Jeff '01, "Digital Image Morphing" (Scharstein)

Miller, Russell '01, "Network Intrusion Detection" (Martin)

Nevmyvaka, Yuriy '01, "Applying the Markov Chain Monte Carlo Method to Solving Hard Problems" (Huang)

Nobel, Benjamin '01, "Date Mining: Algorithms and Applications" (Huang)

Nguyen, Cuong '01, "Stochastic Programming and Pricing of Contingent Claims" (Olinick)

Petkova, Neviana '01, "Winning Strategies of Nim-Like Games" (Schumer)

Shore, Steve '01, "Public Key Cryptology" (Martin)

Sullivan, Michael '01, "An Explanation of P versus NP in Constant Time" (Martin)

Talamba, Sorin '01, "Random Number Generators" (Scharstein)

Thariani, Bond '01, "Random Walks on Graphs" (W. Peterson)

Tweedie, Jameson '01, "Computers and Maps: cartographic line simplification" (Dickerson)

Villano, Mike '01, "Metric Spaces and the Baire Category Theorem" (Abbott)

Wall, Peter '01, "Genetic Algorithms" (Huang)

Wilder, Matthew '01, "Content-Based Image Retrieval" (Scharstein)

2000

Asiedu, Esi. A Topological Proof for the Fundamental Theorem of Algebra. (Dorman)

Barnett, Benjamin. Error Coorecting Codes (oops! I mean Error Correcting Codes). (Dorman)

Blanding, Joanna. Shape from X: Gathering 3-D information from 2-D images using shading, texture, and focus. (Scharstein)

Braziunas, Darius. Approximate inference in Bayesian networks using Markov Chain Monte Carlo simulation. (Huang)

Cai, Xinmei. Extended Art Gallery Problems Revisited. (Briggs)

Chen, Lei. A Study of Shortest Path Problems. (Scharstein)

Decker, Kristofor. Electronic Commerce: How SET Enables Secure Online Payments. (Martin)

Dixon, Andrew. Fuzzy Logic, Approximate Reasoning, and methods of computation that don't take too long. (Martin)

Fioretti, Joseph. Data on a Diet: Unraveling the Intricacies of Common Data Compression Algorithms. (Martin)

Heitkamp, Annah. An Introduction to Projective Geometry and its Application in the Visual Arts. (B. Peterson)

Kandilov, Ivan. The p-adic numbers and Hasse-Minkowski Theorem. (Bremser)

Manfredi, Kevin. REYES: Inside Pixar's CGI Rendering Architecture. (Scharstein)

Mendelson, David. Computer Go. (Huang)

Mitsakos, William. Digital Audio Coding: Two Competing Technologies. (Huang)

O'Riorden, Derek. Mobile Robots in Uncharted Terrain. (Briggs)

Pandolfe, Frank. Jini, a new computing paradigm. (Huang)

Sarioz, Deniz. Pattern Recognition with Neural Networks and OCR. (Huang & Scharstein)

Su, Wei. A Study of A Dynamic Model for Hepatitis C. (Olinick)

Trafton, Willis. Web Caching: Distributed and Hierarchical Structures. (Briggs)

Twitchell, Justin. Robot Motion Planning. (Briggs)

Vides, Pedro. The SSD and dynamic programming algorithms in stereo vision. (Scharstein)

Xu, Weijie. A Study of Primality Testing. (Martin)

1999

Bartok, Jared. Zero-Knowledge Proofs of Identity. (Martin)

Becker, Zachary. Internet traffic and Network Structure. (Huang)

Berta, Cristina. Universality in Chaos: The Feigenbaum Numbers. (Wm. Peterson & J. Dunham)

Darguzaite, Milda. Counting Points on Algebraic Curves. (Dorman)

Dima, Cristian. Inferring Scene Structure from a Stream of Images: Can a Computer see in 3D? (Scharstein)

Gillespie, Dustin. The Kerberos Authentication System and the MD5 Algorithm. (Martin)

Kabuga, Muchiri. Doubly Periodic Functions and Elliptic Curves. (Dorman)

Li, Xi-an. Eigenfaces: using linear algebra to recognize people. (Scharstein)

Lippert, Alan. Statistical Machine Translation. (Huang)

Lynch, Todd. Principal Component Analysis. (Emerson)

Meyer, Daniel D. The Mordell Theorem: Addition and Generation of Rational Points on Elliptic Curves. (Dorman)

Minott, Suzanne. The Highest Rank System: An Alternative to the Current First Year Seminar Registration Process. (Scharstein & Wm. Peterson)

Nedialkov, Stefan. A Study of Nonlinear Behavior and Chaos. (Olinick)

Ofoma, Nkem. Performance of CPU Scheduling Algorithms-The Multilevel Feedback Queue. (Dickerson)

Parent, Gregory. Query Searching: Finding the Nearest Neighbor in N-dimensions. (Dickerson)

Peterson, Christine. Orthogonal vectors and QR decomposition. (Emerson)

Suen, Peter. Chess Parameter Learning Using Temporal Differences. (Huang)

1998

Bourbeau, Francois. Faite vos Jeux (place your bets). (Wm. Peterson)

Bordley, Jessica. Gestural Interface CAD: Bridging the gap between art and technology. (Briggs)

Carruthers, Thomas. Digital Signature Schemes. (Martin)

Chickering, Caroline. The Four Color Theorem. (B. Peterson)

Dhawan, Arjun. Time Series Models: Grappling with (G) arch. (Emerson)

Dlamini, Bongani. The Integral. (Abbott)

Donellan, Charles. The Golf Problem. (Abbott)

Elicker, Justin. Electronic Sound Manipulation Using FM and Additive Synthesis. (Briggs)

Emerson, Peter. Probabilistic Prime Number Generation. (Dickerson)

Irby, Elijah. Edge Detection and Line-Drawing Interpretation of Planar and Non-Planar Surfaces. (Scharstein)

Lauriat, Nicholas. Connecting Local Area Networks: Bridges, Routers, and Switches. (Martin)

Lopez, Rodney. Computer Graphics & Virtual Reality. (Scharstein)

Miller, Tracy. File Systems: A comparison of the FAT, Ext2fs, and the HFS. (Martin)

Miltchev, Stefan. Data Structures and Geometric Tools for Representing K-Order Voronoi Diagrams. (Dickerson)

Parks, Cameron. Branching Processes. (Wm. Peterson)

Pinto, Kate. Proximity Problems in Computational Geometry. (Dickerson)

Shea, David. Logistic Regression. (Emerson)

Ye, Lan. Optimal Placement of Annulus Regions. (Dickerson)

Zhou, Tao. A Comparison of Several Notions of Fractal Dimension. (Abbott)

1997

Baker, Justice. The Golden Mean: Beauty and Mathematics. (Bremser)

Fisher, Sean. Network Flow Algorithms: A Comparison. (Dickerson)

Gospodnetic, Otis. Distributed Data Systems. (Dickerson)

Hobman, Dirk. Cross-Rendering and the Management of Color in Digital Images. (Martin)

Marinov, Irina. Introduction to Functional Analysis. (Abbott)

McDermott, David. Graph Colorings. (W. Peterson)

Noto, Bill. Quaternions Applied to Extended Generalized Mandelbrot Sets. (Martin)

Sharkey, James. Primality Testing and the Lucas-Lehmer Test. (Dorman)

Tuttle, Stephanie. The Penrose Approach to Aperiodic Tiling. (Bremser)

Vuckovic, Dragan. Dynamic Programming and Markov Decision. (W. Peterson)

Vuckovic, Dragan. Parallel Algorithms for Matrix Computation. (Caprioli)

Zakir, Mohammed. Mathematical Programming and the Theory of the Firm. (W. Peterson)

Zhang, Ying. Matrix Approach to Generalized Least Square Methods. (Emerson)

1996

Bilodeau, Etienne. Le Jeu: Gambling Systems. (W. Peterson)

Chandler, John. Representation Theory and Character Theory. (Dorman)

Green, Edward "Ned". Binary Quadratic Forms. (Dorman)

Hickson, Brian. Parallel Processing: Parallel Sorting Algorithms. (Martin)

Hubert, Katherine. Matroid Theory. (W. Peterson)

Jhunjhunwala, Vikas. Karmarkar's Interior Point Algorithm. (W. Peterson)

Ludman, Jacques. Fuzzy Logic Theory and Fuzzy Systems Control. (W. Peterson)

Morin, Frank. The ENIGMA: Analysis of German Military Cipher Machine. (Martin)

Shapiro, Rachel. Lewis Carroll: His Studies in Logic and Literature. (Bremser)

Staples, Kevin. Voronoi Diagrams with Different Distance Functions. (Dickerson)

Sterling, John. Distributed Decision Making. (Dickerson)

Tarasov, Vitaly. Digital Signal Processing. (Briggs)

Trail, Matthew. Implementing Attacks Over the Internet. (Martin)

Wieneke, Bradley. ARQ Retransmission Protocols. (Martin)

Wood, David. Lossless Data Compression. (Martin)

1995

Hathaway, Megan. The Network Simplex Method. (W. Peterson)

Ivanov, Ivan. Convexity: Helly's Theorem and its Relatives. (B. Peterson)

Khosrowshahi, Fatemah Khosrowshahi. Analysis of Two Mathematical Models of Conventional Warfare. (Olinick)

Laidley, Zachery. An Analysis of Hyperbolic Geometry. (Abbott)

Lynch, Jack. Completions of Q and the Hasse-Minkowski Theorem. (Dorman)

McCabe, John. Using Hidden Markov Models for Automatic Speech Recognition. (Martin)

McGray, Craig. Genetic Algorithms as Applied to Cryptanalytic Solutions. (Martin)

Montague, Mark. Projective Planes. (B. Peterson)

Montague, Mark. Programming Language Design: A Principled Approach. (Briggs)

Pitts, Gregory. The Breaking of RSA129 via the Quadratic Sieve. (Martin)

Tisdahl, Douglas. Factorization and Primality Testing. (Dorman)

1994

Dias, Lauren. Plane Symmetry Groups. (Bremser)

Gaughan, Stephen. Mathematical Models of Predator-Prey Interactions. (Olinick)

Hersh, Adam. Generating Random Numbers and Bootstrapping. (Emerson)

Hughes, Paul. Finite Field Theory and its Application to Finite Geometries. (Bremser)

Kuykendall, Kathleen. Borsuk's Conjecture. (Abbott)

Lagerman, Robert. Characterizations of Critically Stable Graphs. (B. Peterson)

Lu, Zhengyuan. The Theory of NP-Completeness. (Martin)

Nelson, Christopher. Using Linear Programming to Optimize a Rotisserie League Baseball Team. (Emerson)

Riday, Ossian. Neural Networks. (Mammen)

Roberts, Samuel. Computer Vision and Depth Perception. (Mammen)

Wilkins, David. The On-Line Recognition of Handwritten Japanese Characters. (Martin)

Willcox, Christopher. Error Detection and Correction in Computer Networks. (Martin)

Winthrop, Dudley. Games People Play: Game Theory in International Trade. (Olinick)

Zhong, Angie-Yanjun. Stochastic Processes and the Black-Scholes Model. (Emerson)

1993

Daigle, Pam. Achieving Agreement in Distributed Systems. (Dickerson)

Henry, Shawn. Proximity Problems. (Dickerson)

Kimball, Amy. Symmetry Group Theory and its Chemical Applications. (Bremser)

Kuli, Geoffrey. Solving Diophantine Equations Using Quadratic Fields. (Dorman)

Lippert, David. Analyzing ADA. (Mammen)

Miller, Heather. RSA: A Breakthrough in Cryptography. (Olinick)

Oldham, Seth. Functional Decomposition of Univariate Polynomials. (Schumer)

Schneider, Jacqueline. Medical Decision Making. (W. Peterson)

Smilari, Robert. Modeling Tumor Growth. (W. Peterson)

Zanuck, Harrison. Out of the Electronic Crucible: Achieving Electronic Privacy. (Olinick)

1992

Berry, David. Optimal Stopping Times for Markov Chains. (W. Peterson)

Cross, Wendy. Taxicab Geometry. (Olinick)

Feng, Junyuan. Geometric Curve Design: B-Splines & Bezier Curves. (Andrews)

Gnuse, Karen. Meta-Analysis & Its Use in Medical Research Studies. (Emerson)

Handy, Douglas. Computer Security, Society and Technology. (Andrews)

Hanscom, Brett. Ramsey Theory. (Andrews)

Harris, Peter. Mathematics of Card Shuffling. (W. Peterson)

Hayes, Laura. Combinatorial Theorems Related To Matching. (W. Peterson)

Heslam, Bill. The Vanishing .400 Hitter: A LOGIT Analysis. (W. Peterson)

Hopkins, Seth. Chaotic Dynamics of Logistic Population Growth. (Olinick)

Okin, B.J. p-adic Analysis, Quadratic Forms & Haase-Minkowski Theorem. (Dorman)

Olsen, Karen. Analysis of Nonlinear Behavior Using Van der Pol's Equation. (Olinick)

Walter, Elizabeth. Elliptic Curve Theory & Applications in Factorization & Primality Testing. (Dorman)

1991

Adelberger (II), Marc. The Goldbach Conjecture. (Emerson)

Ahmad, Arshad. Computer Vision. (Dickerson)

Blair, Stephanie. Graph Theory in Ecological Modeling. (W. Peterson)

Blier, Becky. Transformations in Higher Dimensional Graphics. (Martin)

Ellis, Lynn. Buffon Needle Problem: Intro to Geometric Probability. (W. Peterson)

Emory, Elizabeth. Tilings and Patterns. (Simon)

Murray, Tom. On a Theorem of Philip Hall. (Dorman)

Paris, Jennifer. The Four Color Problem. (Simon)

Pryor, Kathy. Gaussian Integers and Unique Factorization. (Bremser)

Shaikh, Sohail. Linear Programming. (Martin)

Shugart, Jason. Enumerating the k Largest Distances of a Set of Points in the Plane. (Dickerson)

Stewart, Matthew. Manifolds and Geometry. (Weeks)

Totten, Louise. Modeling Evolution. (W. Peterson)

Wait, Micki. Computer Recognition of Language. (Olinick)

Walton, Debbie. Game Theory: With an Application to the Game Crossroads. (Olinick)

Willett, Weston. Computer Networks. (Martin)

1990

Adelberger, Marc. Chaos and Population Growth. (Martin)

Bayley, Elizabeth. Applications of Random Walk. (W. Peterson)

Ben Pazi, Amnon. An Introduction To Galois Theory. (Bremser)

Boisvert, Jeannette. Computer Security: A Techno-Ethical Approach. (Dickerson)

Devine, Karen. The Arrow Impossibility Theorem. (Olinick)

Dubner, Todd. What is Fractal Dimension? (Martin)

Gareeb, Nadia. Markov Chain Model For Stabilization of Money Flow. (W.Peterson)

Gore, John. The Jordan Curve Theorem. (Olinick)

Hull, Cliff. Simple Continued Fractions. (Schumer)

Huynh, Thien. Hashing: A Study in Data Storage. (Andrews)

Lieberfreund, Mark. Data Compression. (Martin)

Paquette, Eric. The Statsitics of Baseball Cards. (W. Peterson)

Waters, Natalie. Stylometry and the Computer. (Olinick)

1989

Baxter, George. Galois Theory & Insolvability of Polynomials. (Dorman)

Diwan, Amer. Code Optimization Techniques. (Andrews)

Evans, Alison. Gauss Sums and Quadratic Reciprocity. (Dorman)

Foley, John. Crystallography and Cohomolgy. (Dorman)

Gakis, Thomas. Measuring Voting Power. (Olinick)

Gould, Joshua. Elliptic Curves & Mordell-Weill Theorem. (Dorman)

Haas, Jan. Portfolio Theory. (Olinick)

McCall, Andrew. Optical Character Recognition. (Olinick)

Metzger, Beatrice. Superior Beings: If They Exist, How Do We Know? (Rosenholtz)

Paige, Denise. The Goldbach and Twin Prime Conjectures in Gaussian Integers. (Rosenholtz)

Potter, Jeff. Mathematics in Language and Languages in Mathematics. (Olinick)

Stern, Simon. The Fundamental Theorem of Finitely Generated Abelian Groups. (Rosenholtz)

Urie, Wendi. Methods For Congressional Apportionment. (Olinick)

Zinkhofer, Peter. Ray Tracing With Global Illumination. (Martin)

1988

Catherman, Mary. Additive Number Theory. (Bremser)

Cheatham, Thomas. Fourier Transform and Digital Signal Processing. (Martin)

Foner, Todd. The Linear Regression Model. (Emerson)

Hermanson, Lynn. Fermat's Last Theorem. (Bremser)

Ngwenya, Bhekithemba. Quadratic Fields. (Dorman)

Phillips, Anne. Dolphins: A Statistical Analysis of Their Sentences and Errors. (Emerson)

Ryan, Claire. Queueing Theory: The Study of Waiting in Line. (Emerson)

Smith, Margaret. The Density of Visible Lattice Points. (Schumer)

Stern, Claudia. Mastermind. (Olinick)

Stewart, Marni. Geometry of Binocular Vision. (Andrews)

Villani, Paul. Software Testing Using Cause-Effect Graphing. (Thompson-Rohrlich)

Wurts, Elizabeth. Mathematical Logic: A Historical Survey. (Henrion)

Yoon, Douglas. The Behavior of Parallel Algorithms. (Martin)

1987

Anderson, Heidi. Models of Boolean Algebra. (Henrion)

Bangs, Martha. Mathematical Models of Glottochronology. (Olinick)

Burnett, Misa. Public Key Cryptography and RSA. (Martin)

Clark, Margaret. Selected Topics in Group Theory. (Dorman)

Derecskey, Charles. Periodic Planar Tilings. (Bremser)

Firmery, Laura. The Axiom of Choice. (Henrion)

Gilpin, Robert. Machine Learning. (Mammen)

Graveline, Marianne. Combinatorial Optimization. (Henrion)

Hudson, Nancy. Twin Primes. (Bremser)

Hunt, Sandy. The Four Color Theorem. (B. Peterson)

Jenkins, Rob. On Continued Fractions. (Schumer)

Kennedy, Rebecca. Two and Three Dimensional Contingency Tables. (Emerson)

Lang, Kimberly. Mathcing Theory. (Henrion)

Lewin, Kate. Bezout's Theorem. (Dorman)

Macek, Chris. Godel's Incompleteness Theorem. (Henrion)

McAdam, Scott. Selected Topics in Mathematical Bioeconomics. (Olinick)

McCoy, Theresa. Mersenne Primes and Perfect Numbers. (Schumer)

Morrill, Jeff. Cryptanalysis and Modern Encryption Schemes. (Martin)

Nyezi, Tebogo. Turing Machines. (Henrion)

Omori, Motoko. Intelligent Tutoring Systems. (Mammen)

Pellett, Mary Claire. Wedderburn's Theorem and Frobeniuus' Theorem. (Dorman)

Sloan, Kathryn. Comparative Programming Languages. (Mammen)

Tichell, Gordon. Fixed Point Theory and the Brouwer Fixed Point Theorem. (Olinick)

Wright, Will. The Elements of Ray Tracing. (Martin)

1986

Batal, Jean. A Location Theory. (Olinick)

Churchill, Wendall. Paradoxes...Is Mathematics in Danger? (Henrion)

Crampton, Stephen. The Data Encryption Standard. (Martin)

Hill, Elizabeth. Arithmetic Relating To Quadratic Equations. (Dorman)

Kretschmar, Susan. Public Key Cryptography and RSA. (Schumer)

Lehmann, Bob. Compiler Design. (Mammen)

Littlefield, Duncan. Fractals. (Martin)

Morrison, Paul. The Basics of Three Dimensional Computer Graphics. (Martin)

Theberge, Dorene. The Algebra of Kinship. (Olinick)

Tickner, Arlene. The Theory of Error-Correcting Codes. (Schumer)

Vehse, Deborah. Laser Induced Fluorescence of the Uranyl Ion in Uraniferous Minerals. (Schumer)

Whitty, Suzanne. Decision Analysis: Individual Decison Making Under Uncertainty. (Olinick)

1985

Aldershof, Brian. Meta-analysis and forced compliance. (Emerson)

Briggs, John. Fractal Music. (B. Peterson)

Brill, Steve. Constructability of Regular Polygons. (Schumer)

Casey, Karen. The Law of Quadratic Reciprocity. (Schumer)

Engle, Stephen. Computer Representation of 3-Dimensional Functions. (Martin)

Loomis, Gretchen. Portfolio Theory. (Olinick)

Mygatt, Walker. Hashing. (Copeland)

Olson, Kip. Inside the Rainbow. (Copeland)

Pattee, Jennifer. Axiomatic Models in Voting Theory. (Olinick)

Peters, Chris. Deterministic and Stochastic Models in Inventory Theory. (Emerson)

Poulin, Suzanne. Environmental Influences on Existence of Sex Differences in Math. (Bremser)

Rothman, Gail. Pseudo-Random Number Generation. (Emerson)

Vaughan, Amanda. Decision Theory. (Emerson)

1984

Benjamin, Douglas. Solitons: A Mystery of Existence.

Bernstein, Mary. Reconstruction Problem of Graph Theory. (Sagan)

Chesnut, Blair. The Four Color Problem. (B. Peterson)

Crowell, James. Kuhn-Tucker Theorem of Nonlinear Programming. (Dorman)

Hedberg, Thomas. Finite Markov Chains: Theory and Applications. (Olinick)

Homrighausen, Leah. Continued Fractions. (Dorman)

Koo, Alex. The Prime Number Theorem. (Schumer)

Lord, Ann. Mathematical Models in Population Growth. (Olinick)

Menard, Mary. Energy Efficiency of Methane Digesters and Statistical Analysis. (Emerson)

Nuovo, Thomas. Fermat's Last Theorem.

Ottaviano, Laura. Mathematical Bioeconomics. (Olinick)

Oyer, Paul. Regression Analysis and Applications to the Stock Market. (Emerson)

Paris, Joshua. The Generation of Amicable Numbers. (Bremser)

Russell, Margaret. Waring's Problem. (Schumer)

Stone, Catherine. Life Table Analysis and Survival Distributions. (Emerson)

Tabor, Whitney. In Search of Irrational and Transcendental Numbers. (Schumer)

1983

Bailey, Jennifer. Shell Sort. (Krupp)

Baldwin, Thomas. Number Theory and Goldbach's Conjecture. (Schumer)

Beninghoff, Paul. The Four-Color Problem. (B. Peterson)

Carlson, Katherine. Optimal Pricing Strategy & Monopolistic Competition. (Olinick)

Flodman, Pamela. Looking Backwards: The Case Control Method. (Emerson)

Hansen, Katherine. The Analysis of Contingency Tables. (Emerson)

Hermanson, Todd. The Implementation of a Computerized Home Accounting System. (Krupp)

LeBlanc, Elaine. Nonparametric Statistics. (Emerson.)

Lenehan, Patricia. Dynamic Programming: An Overview.

Moore, Cameron. The Gelfond-Schneider Theorem. (Martin)

O'Sullivan, Brian. The Jordan Canonical Form.

Porter, Stephen. An Introduction To Category Theory. (Dorman)

Varney, Andrew. Public-Key Cryptography. (Martin)

Wagner, Peter. The Four Color Theorem. (Glaser)

Wynant, Nancy. Portfolio Theory: Optimal Investment Decision Under Uncertainty. (Olinick)

1982

Franczek, Daniel. Taxicab Geometry. (Olinick)

Furber, Tom. The Fundamental Theorem of Algebra.

Glarum, Ann. Fixed Point Theorems. (Dorman)

Guglin, Lance. The Lagrange Multiplier Method. (Martin)

Hanson, Kris. Computer Representation of Three Dimensional Objects. (Krupp)

Hardie, Katharine. The Four Colour Theorem. (B. Peterson)

Hart, Evelyn. Radon's Theorem and Caratheodory's Theorem in Convexity Theory. (B. Peterson)

Higgins, Daniel. Difference Equations and the Cobweb Theorem. (Yuster)

Johnson, Craig. Integration in More Than One Dimension & Applications.

Kleit, Andrew. The Core of an N-Person Game. (Olinick)

Lyons, Norman. Finite Markov Chains. (Emerson)

Porino, Nicole. Group Actions and Multiple Transitivity. (Yuster)

1981

Belknap, Susan. Coordinate Systems in Finite Projective Planes. (B. Peterson)

Bennett, Andrew. Congressional Apportionment Problem. (Olinick)

Bingham, Robert. Influence of Outliers on Least Squares. (Emerson)

Bucher, Robin. Elementary Catastrophe Theory. (Martin)

Burton, Steven. The Congressional Apportionment Problem. (Olinick)

Englar, Carol. Two-Person Zero-Sum Games. (Dorman)

Fleischman, Barbara. Coding Theory. (Yuster)

Goddard, Elizabeth. Arrow's Impossibility Theorem. (Olinick)

Hecklau, Constance. Baire Category Theorem. (Beckmann)

Henken, David. Mathematical Bioeconomics. (Olinick)

Howell, Julia. Fermat's Last Theorem. (B. Peterson)

Jarkoni, David. Ellipsoid Algorithm. (Olinick)

Knecht, Lorene. A Statistical Analysis of Time Series. (Emerson)

McShane, Lee. Inversive Geometry. (B. Peterson)

Pang, Wei-Tao. Fourier Series. (Bielli)

Peters, Gregory. The Theory of Metagames. (Olinick)

Pidgeon, Cindy. The Kakeya Problem. (B. Peterson)

Ross, John. The Minimax Theorem. (Olinick)

Ross, Peter. Models of Recidivism. (Olinick)

Shively, Thomas. A Mathematical Model of Economic Equilibrium. (Olinick)

Tinson, Richard. Towards a Computer Solution of the Rubik's Cube. (Martin)

Tolman, Gregory. Proving the Impossible: Godel's Incompleteness Theorem. (Dorman)

1980

Alden, Stuart. Galois Theory. (Yuster)

Dickson, Douglas. The Unusual in Geometry: Pick Your Theorem.

Flannery, Elisabeth. Representation of Integers as Sums of Powers.

Gourley, Peter. The Exponential Survival Distribution. (Emerson)

Higgns, William. The Laplace Transform. (Bielli)

Hoffman, Caren. Computer Algorithms To Solve Problems of Graph Theory. (Krupp)

Kimbell, Andrew. The Bernouli Numbers. (Martin)

Lennon, Richard. Simple Continued Fractions and Quadratic Irrationals. (Martin)

Lyons, Daniel. Theorems and Algorithms For Networks. (Emerson)

Mathes, Benjamin. The Wave Equation.

Rohardt, Susanne. Markov Processes and Urban Expansion in Vermont. (Olinick)

Taylor, Susan. Nonparametric Estimation of Patient Survival. (Emerson)

Tharp, Michael. The Parallel Postulate. (Martin)

Weaver, William. An Identification and Construction of the Regular Solids.

1979

Besse, David. Knot Theory. (Beckmann)

Burnham, Barbara. The Brachistochrone Problem.

Byrd, Kathryn. The Isoperimetric Theorem.

Corwin, Elaine. Brouwer's Fixed Point Theorem. (Dorman)

Cummins, Thomas. Simple Groups. (Yuster)

Fox, Patricia. Hilbert's Third Problem.

Hoch, Standley. Transcendental Numbers.

Kohlbry, Kathleen. The Four-Color Theorem. (B. Peterson)

Marrinan, John. Hamilton, Euler and Traversable Paths. (Glaser)

Morris, Richard. The Constructibility of Regular Polygons.

Storey, Elizabeth. Topics in Linear Programming. (Olinick)

1978

Alsina, James. Space Filling Curves. (Martin)

Browse, Latta. The Dirichlet Problem. (Martin)

Clement, Thomas. Quantum Mechanics. (Martin)

Condict, James. On an Odd Perfect Number's Largest Prime Divisor. (Krupp)

Dunn, Stephen. Theorems On Fixed Points. (Olinick)

King, Wendy. The Baire Category Theorem and Some Applications. (Beckmann)

Marcus, Isabel. Sort Algorithms and Their Complexity. (Krupp)

Merrell, Ann. The Illness-Death Process: A Mathematical Model. (Emerson)

Pollard, Douglas. Mathematical Epidemiology. (Olinick)

Siegrist, Donald. Inventory Control Models. (Emerson)

1977

Bell, Kathy. Categorical Data Analysis Using the Log Linear Model. (Emerson)

Cohn, Jeffrey. The Four Color Problem.

Corridan, Kevin. Information Theory.

Daniel, Kelly. The Axiom of Choice.

Enwright, Beth. The Theory of Infinitesimals.

Grier, David. The Large Number Theorems. (Emerson)

Hare, Christopher. A Pen and Pencil Approach To Zero. (Bennett/Olinick)

Pilcher, Stephen. Realizing Matrices as Graphs: A Decomposition Algorithm.

Shepard, Whitman. A Mathematical Approach To Learning. (Olinick)

Smotrycz, Zenon. Fermat's Last Theorem.

Turner, Martha. A Mathematical Model of Language. (Olinick)

1976

Fischer, Paul. Lebesgue Measure Theory and Probability. (Emerson)

Garver, Doug. N-Person Game Theory. (Olinick)

Luman, Ronald. Numerical Solution of Differential Equations.

Nawn, Karen. Convex Sets. (B. Peterson)

Pehta, Timothy. Introduction To Projective Planes Through Coordinatization. (B. Peterson)

Porter, Carol. Mathematical Models of Population Growth. (Olinick)

Spencer, William. The Laplace Transform. (Bielli)

Wadsworth, Todd. Topics in Algebra.

1975

Yasinski, James. The Theory and Application of Finite Markov Chains. (Emerson)

1969

Bittman, Richard. Mathematical Foundations of Unitary Symmetry.

1967

Prescott, William. Galois Theory. (B. Peterson)

1966

Fall, Richard. The Properties of Prime Numbers.

1965

Gruhn, Ann Marie. Graph Theory.

1964

Bailey, Barbara. Integration Through The Ages.

Petersen, Lucinda. Elements of Convex Geometry.

1962

Bahn, David. Mathematical Aspects of Statistics.

1961

Smith, Clay. Several Properties of the Space of Continuous Functions.

1959

Hsiang, Harry. Fundamental Relationships Between Boolean Algebra and Lattices.

Sherlock, Patricia. A Comparison of the Theory of Equations and Abstract Algebra. (Ballou)

Senior Thesis

List of Thesis Topics