Arizona Winter School 2006
Course Descriptions and Notes

Daniel J. Bernstein: “Integer factorization”

• Course and project description
• Lecture notes (version of March 9, 2006)
• Course website (check here for updated notes)
• A report on the student project
• Streaming video:
  • Lecture 1: video, pdf slides.
  • Lecture 2: video, pdf slides.
  • Lecture 3: video, pdf slides.
  • Lecture 4: video, pdf slides.

Henri Cohen: “Explicit methods for solving Diophantine equations”

• Course and project description
• Lecture notes
• An extract from a forthcoming book relevant to the course (1.8MB)
• The references from the book
• Slides for lectures
• Streaming video:
  • Lecture 1: video
  • Lecture 2: video
  • Lecture 3: video
  • Lecture 4: video
  • Lecture 5: video

Michael Stillman: “Computing cohomology in algebraic geometry”

• Course and project description
• Lecture notes (preliminary, 2/28/06)
• Macaulay 2 demo files from the lectures
• Streaming video:
  • Lecture 1: video, scanned slides.
  • Lecture 1.5 (joint Stillman/Sturmfels lecture): video
  • Lecture 2: video, scanned slides.
  • Lecture 3: video, scanned slides.
  • Lecture 4: video, scanned slides.

Bernd Sturmfels: “Discriminants, resultants, and their tropicalization”

• Course and project description
• Lecture notes by Silvia Adduci
• Streaming video:
  • Lecture 1: video, scanned slides.
  • Lecture 2: video, scanned slides.
  • Lecture 2.5 (joint Stillman/Sturmfels lecture): video
  • Lecture 3: video, scanned slides.
  • Lecture 4: video, scanned slides.