2007 REU: PARTICIPANT PAPERS -- FULL PROGRAM

• Harry Altman: Two coordinatization theorems for projective planes (pdf)
• Steve Balady: A Peter May picture book, Part 1 (pdf)
• Emily Bargar: Not quite number theory (pdf)
• Padraic Bartlett: Triads and topos theory (pdf)
• Sarah Bennett: The Gertrude Stein theorem (pdf)
• David Berger: Introduction to Brownian motion: (pdf)
• Chad Casarotto: Markov chains and the ergodic theorem (pdf)
• Logan Chariker: The inverse Galois problem, Hilbertian fields, and Hilbert's irreducibility theorem (pdf)
• Fan Fei Chong: A solution to Berlekamp's switching game (pdf)
• David Cohen: The c unit distance graph (pdf)
• Corrin Clarkson: Riemann surfaces (pdf)
• Sarah Constantin: Collections of simple closed curves intersecting at most once (pdf)
• Lucas Culler: The Kronecker-Weber theorem (pdf)
• Andy Eisenberg: A combinatorial approach to pants decompositions (pdf)
• Nicolas Ford: A model-theoretic proof of Hilbert's Nullstellensatz (pdf)
• Daniel Gardner: Topological background to the Weil conjectures (pdf)
• Gabriel Gaster: Class numbers of number rings: existence and computations (pdf)
• Arpit Gupta: Recursion and random walks (pdf)
• Drew A. Hudec: The Grassmannian as a projective variety (pdf)
• Adam Kaye: Two-dimensional orbifolds (pdf)
• Suyeon Khim: The Frobenius-Perron theorem (pdf)
• R. Andrew Kreek: Closed curves on hyperbolic manifolds (pdf)
• R. Andrew Kreek: Surface groups (pdf)
• Grant Larsen: Generalized factorization (pdf)
• Le Chen: An investigation of the planarity condition of Grotzsch's theorem (pdf)
• Carmel Levy: A prelude to Euler's pentagonal number theorem (pdf)
• Calvin Lin Zhiwei: Dirichlet's theorem
• Alice Mark: Distinguishing sets under group actions, the wreath product action (pdf)
• James Marrone: Representations of Lie algebras, with applications to particle physics (pdf)
• Jean Morrison: Tesselating the hyperbolic plane (pdf)
• Alexander Munk: Basic results concerning Brownian motion (pdf)
• Prerna Nadathur: An introduction to homology (pdf)
• Yana Peysakhovich: The fundamental theorem of games (pdf)
• Robert Prag: A brief summary of modular representation theory (pdf)
• Sam Raskin: The Weil conjectures for curves (pdf)
• Edward Ruggeri: Cryptography in an unconventional model (pdf)
• Max Shron: Twist & shout: exploring isometries of hyperbolic surfaces (pdf)
• Andries Smith: Introduction to the topology of continuous dynamical systems (pdf)
• Brian Taylor: Irreducible representations of the symmetric group (pdf)
• Mike Thvedt: The Dirac and Weyl spinor representations (pdf)
• Brooke Ullery: Regular graphs of a given girth (pdf)
• Alexander Volfovsky: Markov chains and applications (pdf)
• Katie Waddle: Group actions on trees (pdf)
• Matthew Woolf: Teichmuller space (pdf)
• Qian Zhang: Quasirandomness and Gowers' theorem (pdf)

2007 REU: PARTICIPANT PAPERS -- APPRENTICE PROGRAM

• William C. Abram: A new perspective on the continuum hypothesis: why Freiling's axiom of symmetry is irrelevant (doc)
• Dylan G.L. Allegretti: Constructing Frobenius algebras (pdf)
• Adam Anderson: Kan extensons and nonsensical generalizations (pdf)
• Elan Bechor: Analytic properties of Brownian motion (pdf)
• Michael Calderbank: The RSA cryptosystem: history, algorithm, primes (pdf)
• Daniel Cervone: Density of diagonalizable square matrices (pdf)
• Catherine Easton: RSA (pdf)
• Eugene Eyeson: An analytic proof of the Rogers-Ramanujan identities (pdf)
• Hannah Gordon: The neo-Riemannian group (see)
• Austin M. Gross: Unconventional space-filling curves (pdf)
• Eric Jaffe: Linearly independent integer roots over the scalar field Q (pdf)
• Ethan Jerzak: Categories and natural transformations (pdf)
• Ryan Julian: Fourier analysis and the Dirichlet problem (pdf)
• William Leeb: The Nagata-Smirnov metrization theorem (pdf)
• Scott Messick: Limits in category theory (pdf)
• Jamie Morgenstern: Graph theory (pdf)
• Bo Peng: The determinant: a means to calculate volume (pdf)
• Jimmy Salvatore: Bipartite graphs and problem solving (pdf)
• Honi Sanders: Arrow's impossibility theorem of social choice (pdf)
• Michael Travis: The mathematics of the Rubik's cube (pdf)
• Tengren Zhang: Helly's theorem (pdf)

2007 REU: Other participant topics -- APPRENTICE PROGRAM

• Beau Dabbs: All convex polyhedra are homeomorphic to the sphere
• Katayun Kamdin: Jordan normal form
• Satoru Kudose: Traveler's dilemma
• Chenchuan Li: On the fundamental group of a generalized lens space
• Cong Han Lim: Brief introduction on stack sorting
• Ellen McCullagh: Dehn twists
• Matt Olson: Differentiability of Brownian motion
• Andrew Poppick: Balancing numbers problem
• Gideon Tan: Alternative solution to a problem in combinatorics