University of Chicago VIGRE REU 2007

  • 2007 REU: PARTICIPANT PAPERS -- FULL PROGRAM

  • 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