University of Chicago VIGRE REU 2006

• 2006 REU: Announcement and description of the program (pdf) (dvi)
• 2006 REU: Application (doc)
• 2006 REU: Schedule for weeks 1 and 2 (pdf) (dvi)
• 2006 REU: REVISED schedule for week 2 (pdf) (dvi)
• 2006 REU: REVISED Schedule for weeks 3 and 4 (pdf) (dvi)
• 2006 REU: Schedule for weeks 5 and 6 (pdf) (dvi)
• 2006 REU: Schedule for weeks 7 and 8 (pdf) (dvi)
• 2006 REU: Abstracts of the course offerings (pdf) (dvi)
• 2006 REU: Undergraduate student lists and job assignments (pdf) (dvi)
• 2006 REU: Graduate student course and mentor group assignments (pdf) (dvi)
• 2006 REU: Lists of mentorship pairings and e-mail addresses (pdf) (dvi)

  2006 REU: Links to Course materials

  • Miklos Abert and Laci Babai: Apprentice Program
  • Laci Babai: Discrete Mathematics
  • Miklos Abert: Groups and Problems
  • Peter May: K-theory
  • Tom Fiore: Music
  • Some Tex Help

  2006 REU: PARTICIPANT PAPERS

  • Steve Balady: Annotation: A discussion of the fundamental ideas behind Selberg's ``elementary proof of the prime number theorem'' (pdf)
  • Padraic Bartlett: A short guide to Hackenbrush (pdf)
  • Gabriel Bender: Cryptography and secure two-party computation (pdf)
  • Matthew Bruce: Three proofs of the fundamental theorem of algebra (pdf)
  • Chad Casarotto: Graph theory and Cayley's formula (pdf)
  • Christopher Chariker: Lambda calculus (pdf)
  • Sarah Constantin: Asymptotic behavior of the number of prime partitions (pdf)
  • Trevor Davis: Topics in probability (pdf)
  • Dan Dickinson: Subgroups of mapping class groups generated by Dehn twists (pdf)
  • Charles Doss: An introduction to the Lebesque integral (pdf)
  • Andy Eisenberg: Elementary moves on polygonal triangulations of the disk (pdf)
  • Stephen Flood: Turing machines, oracle Turing machines, and the Turing hierarchy (pdf)
  • Dan Gardner: The Mergelyan-Bishop theorem (pdf)
  • Gabriel Gaster: Acting freely (pdf)
  • Matt Gonwa: Perl project (pdf)
  • Sayer Herin: Selected problems from Marcus, Number Fields (not posted)
  • Greg Herschlag: A brief introduction to gauge integration (pdf)
  • Drew Hudec: On the Burnside problem (pdf)
  • Daniel Immerman: The number of elementary moves required to begin to swap triangulations (two pdf files) (pdf) (pdf)
  • Philip Kalikman: A proposal for an advanced secondary school mathematics course (not posted)
  • Milan Kidd: An introduction to the practical use of music-mathematics (pdf)
  • Andy Kiersz: Colimits and homological algebra (pdf)
  • Asa Levi: The Ehrenfeucht game and first order logic (pdf)
  • Calvin Lin Zhiwei: Extending an orthogonal rational set of vectors into an orthonormal rational basis (pdf)
  • Jeff Meyer: Mathematical physics: a survey of gauge theories and symplectic topology (pdf)
  • Matthew O'Meara: The graphs of triangulations of polygons (pdf)
  • Hae Young Noh: Increasing or decreasing subsequences of sequences of distinct real numbers (pdf)
  • Yana Peysakhovich: Adventures in mathematics (a mathematical short story) (doc)
  • Robert Prag: A summary of elementary measure theory and statistics (pdf)
  • Sam Raskin: Spectral measures and the spectral theorem (pdf)
  • Sarah Raskin: Newton's method (not posted)
  • Ned Ruggeri: Principles of pseudo-random number generation in cryptography (pdf)
  • Jeff Schonert: A walking tour of microlocal analysis (pdf)
  • Abigail Sheldon: Maschke's theorem (pdf)
  • Andrew Steiner: Problems in ordinary differential equations (pdf)
  • John Sternberg: Conceptualizing music through mathematics and the generalized interval system (pdf)
  • Brian Taylor: Geodesics (pdf)
  • Michael Thvedt: Rotations, rotation paths, and quantum spin (pdf)
  • Muhammad Waliji: Monkeys and walks (presentation); probability theory (paper) (two pdf files) (pdf) (pdf)
  • Dan Weiner: Forbidden minors and minor-closed graph properties (pdf)