Last updated June 21, 2001 |

- Algebro-geometric duality in the theory of smooth manifolds.
- Linear differential operators in commutative algebras, basic functors of differential calculus.
- Representing object: differential forms and jets in the category of modules.
- The de Rham and Spencer complexes.
- The Poincare \delta-lemma.
- The Nijenhuis bracket, the complexes related to flat connections.
- The Schouten bracket and Poisson algebras, the complexes related to Poisson structures.
- An algebraic model of the Hamiltonian formalism.

Questions and suggestions should go to J. S. Krasil'shchik, josephk @ diffiety.ac.ru.