This web page highlights some of the conjectures and open problems concerning Rational and integral points on higher dimensional varieties.

If you would like to print a hard copy of the whole outline, you can download a dvi, postscript or pdf version.

- Lecture Notes
- Colliot-Thelene 1: Rational points on surfaces with a pencil ...
- Colliot-Thelene 2: Rational points on surfaces with a pencil ...
- de Jong: Rationally Connected Varieties
- Graber: Rationally Connected Varieties
- Harari 1: Weak approximation on algebraic varieties (introduction)
- Harari 2: Weak approximation on algebraic varieties (cohomology)
- Hassett 1: Equations of Universal Torsors
- Hassett 2: Weak approximation for function fields
- Heath-Brown: Rational Points and Analytic Number Theory
- Mazur: Families of rationally connected subvarieties
- Peyre: Motivic height zeta functions
- Raskind: Descent on Simply Connected Algebraic Surfaces
- Rotger: Rational points on Shimura varieties
- Salberger: Arithmetic Bezout and Rational Points of Bounded Height
- Skorobogatov: Counterexamples to the Hasse Principle...
- Vojta: Big semistable vector bundles
- Wooley: The Circle Method
- Yafaev: Descent on certain Shimura curves
- Problems
- Glossary
- Miscellaneous Photos

The individual contributions may have problems because converting complicated TeX into a web page is not an exact science. The dvi, ps, or pdf versions are your best bet.