Arizona Winter School 1998
Course Descriptions and Notes

Courses

• SHORTTITLE  Alexandru Buium: Differential algebras and diophantine geometry

  • Abstract: html
  • Reading list: html
  • Lecture notes: dvi, ps, pdf

• SHORTTITLE  Henri Darmon: Frey’s method and hyperelliptic curves with real multiplication

  • Abstract: html
  • Reading list: html
  • “Rigid local systems, Hilbert modular forms, and Fermat’s last theorem,” CICMA preprint submitted for publication: dvi, ps, pdf
  • Web site

• SHORTTITLE  David Masser: ABC - diophantine approximation aspects

  • Reading list: html

• SHORTTITLE  Barry Mazur: Visible elements in the Shafarevich-Tate group

  • Abstract: html
  • Reading list: html
  • “Three lectures about the arithmetic of elliptic curves”: dvi, ps, pdf

• SHORTTITLE  Lucien Szpiro: Some cases of the discriminant conjecture

  • Reading list: html

• SHORTTITLE  Paul Vojta: A more general ABC conjecture

  • Abstract: html
  • Reading list: html
  • “A more general abc conjecture”: dvi, ps, pdf
  • “Chapter 0” of preliminary material on number theory and algebraic geometry: dvi, ps, pdf

• SHORTTITLE  Felipe Voloch: The Brill-Segre formula and the ABC conjecture

  • Abstract: html
  • Reading list: html
  • Lecture notes: dvi, ps, pdf

• SHORTTITLE  Professional development: Cathy Kessel: Teaching lower-division undergraduates

  • Kessel spoke on “Removing the discontinuity between high-school and college” and led a workshop on “Tools to teach intuition”. There was also a panel discussion on lower division courses.
  • Abstract: html
  • “Teaching Mathematical Problem Solving”: ps, pdf
  • References: ps, pdf

Contributed Talks

• SHORTTITLE  Lev Borisov

  • Abstract: html

• SHORTTITLE  Machiel von Frankenhuysen

  • Abstract: html
  • Frankenhuysen: “The abc conjecture implies Roth's theorem and Mordell's conjecture”: dvi, ps, pdf

• SHORTTITLE  Florian Luca

  • Abstract: html

• SHORTTITLE  Julie Tzu-Yueh Wang

  • Abstract: html
  • “A note on Wronskians and the abc theorem in function fields of prime characteristic”: dvi, ps, pdf
  • “ABC estimate, integral points, and geometry of Pn minus hyperplanes”: dvi, ps, pdf

• SHORTTITLE  Jing Yu

  • Abstract: html
  • J. Yu: “On arithmetic of hyperelliptic curves”: dvi, ps, pdf

• SHORTTITLE  Jing Yu

  • Abstract: html
  • J. Yu: “On arithmetic of hyperelliptic curves”: dvi, ps, pdf