This volume consists of a selection of lectures presented at the Second International Congress in Algebra and Combinatorics held in July 2007 in Guangzhou, Beijing, and Xian, China. There are 22 papers in the volume. It is not possible to list all of them here but let us mention papers on Quantum polynomials (V. A. Artamonov), Gröbner-Shirshov bases (L. A. Bokut and Y. Q. Chen) and the application of Gröbner-Shirshov bases to Normal Forms of Coxeter groups (D. Lee). There are also papers on Paper-folding, polygons, complete symbols and the Euler quotient function (P. Hilton, J. Pedersen and B. Walden), Irreducible subalgebras of Matrix Weyl Algebras (P. S. Kolesnikov) and Conformal Field Theory and Modular Forms (K. Ueno). M. Jambu contributed a paper on Koszul Algebra and Hyperplane Arrangements and J. Fountain and V. Gould present a paper on Stability of the Theory of Existentially Closed S-Acts over a Right Coherent Monoid S. There are also papers on hyperidentites and hypersubstitutions, various aspects of group theory and so on.