Arizona Winter School 2000
Course Descriptions and Notes

• SHORTTITLE  Greg Anderson: Introduction to fermionic Fock space for number theorists

  • Course description: html
  • “Notes on fermionic Fock space for number theorists” (snapshot at the time of the Winter School): dvi, ps, pdf. Later versions may appear on Greg's web site.
  • “A determinantal procedure for calculating Jacobians of genus 1 curves.” project description: dvi, ps, pdf
  • Fragment of Maple code for calculating the tau functions appearing in the lectures: txt

• SHORTTITLE  Nicholas Katz: Four lectures on Weil II

  • Polished course write-up, “L-functions and monodromy: four lectures on Weil II.”: pdf
  • “Mysterious formulae involving the numbers of points in some families of elliptic curves.” project description: html

• SHORTTITLE  Kristin Lauter, René Schoof, and Michael Zieve: The number of points on a curve over a finite field

  • Course description: html
  • Schoof's Abuja notes are a good reference: dvi, ps, pdf.
  • Kristin Lauter and Michael Zieve have a three-part project entitled “Using class field theory to construct curves with many points.” (Kristin will supervise Parts 1 and 2 and Michael will supervise Part 3.)
    • Description: dvi, ps, pdf
    • Reference [6] in their bibliography: ps, pdf
    • Reference [7]: ps, pdf

• SHORTTITLE  Peter Sarnak: Zeta functions and symmetry

• SHORTTITLE  Douglas Ulmer: Elliptic curves over function fields and a Gross-Zagier theorem

  • Course description: html
  • Course outline: dvi, ps, pdf
  • “Explicit calculations with elliptic curves over function fields.” project description: dvi, ps, pdf
  • A very nice write-up of the project by Mihran Papikian: ps, pdf
  • A related paper: “Elliptic curves with large rank over function fields.”: arXiv