Geometry, Topology and Operator Algebras

Alexander Cardona is an Associate Professor in the Mathematics Department at Universidad de los Andes, Colombia. His research activity concerns mathematical tools that are motivated by physical problems. He studies differential geometry and global analysis, and their applications to physical models in which the underlying topology is important.Andrés F. Reyes-Lega is an Associate Professor in the Physics Department at Universidad de los Andes, Colombia. His research contributions include studies on the algebraic structures underpinning quantum entanglement, the interplay between geometry, topology, and physics and mathematical aspects of quantum field theory.

• Geometric structures, invariants and their uses in physics by A. Cardona and A.F. Reyes-Lega.- . Lectures on the Euler characteristic of affine manifolds by Camilo Arias-Abad and Sebastian Velez-Vasquez.- Elliptic Curves by Philip Candelas.-  The arithmetic of Calabi-Yau varieties, by Xenia de la Ossa.- Foliations and operator algebras by Georges Skandalis.- Pseudo-differential operators on groups and nonharmonic analysis, by Michael Ruzhansky.- Mathematical Foundations of Topological Matter, by Manuel Asorey.