(Mr. McNERNEY asked and was given permission to address the House for one minute and to revise and extend his remarks.)

Mr. McNERNEY: Mr. Speaker, I rise today to announce the discovery of a new breakthrough in mathematics in the theory of vector bundles.

The theory of vector bundles plays a crucial role in modern mathematics. Part of the interest comes from its application to quantum mechanics, the theory that makes modern electronics possible. In quantum mechanics, a particle has a position, which is a point in space-time, as well as an internal structure, which is described by the theory of complex vector bundles.

Over the last few years, the Boij-Soderberg theory has given a new approach to vector bundles in several important areas. Just yesterday, the Mathematical Sciences Research Institute in Berkeley, California, announced that several young scientists collaborated to discover how to extend this theory into new places, such as spheres.

The discovery is a significant accomplishment, and I commend these young scientists for their hard work and dedication. It's because of efforts like this that the U.S. continues to be a leader in innovation.