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- Batyrev, AWS 2004 course on Cohomology, periods, and the Hodge structure of toric hypersurfaces
- Bernstein, AWS 2006 course on Integer factorization
- Candelas, AWS 2004 course on Periods and zeta functions
- Cohen, AWS 2006 course on Explicit methods for solving Diophantine equations
- Deninger, May 2005 Distinguished Lectures on Arithmetic geometry and analysis on foliated spaces
- Hain, AWS 2005 course on Iterated integrals, Hodge theory, and fundamental groups
- Loeser, AWS 2003 course on Motivic and p-adic integration
- Macintyre, AWS 2003 course on The history of interactions between logic and number theory
- Matsumoto, AWS 2005 course on Galois representations in fundamental groups and their Lie algebras
- Morrison, AWS2004 course on Instanton sums and monodromy
- Pillay, first half of an AWS 2003 course on Model theory and diophantine geometry
- Poonen, AWS 2003 course on Hilbert's tenth problem
- Pop, AWS 2003 course on Elementary equivalence of finitely generated fields
- Pop, AWS 2005 course on Anabelian phenomena in arithmetic and geometry
- Scanlon, second half of an AWS 2003 course on Model theory and diophantine geometry
- Schneps, AWS 2005 course on Grothendieck-Teichmueller theory, moduli spaces, and multi-zeta values
- Stillman, AWS 2006 course on Computing cohomology in algebraic geometry
- Sturmfels, AWS 2006 course on Discriminants, resultants, and their tropicalization
- Swinnerton-Dyer, December 2002 Distinguished Lectures on New methods for Diophantine equations
- Wan, AWS 2004 course on Zeta Functions of Toric Calabi-Yau Hypersurfaces
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