Now, more than 122 years after it was first proposed, Kamata and two other mathematicians have finally proved that a solution ...

Masaki Kashiwara received the honor, often regarded as the Nobel Prize in mathematics, for work that combined different mathematical fields to solve challenging problems.

This is the unique (3,7)-cage, meaning a graph such that each vertex has 3 neighbors and the shortest cycle has length 7.

For instance, Kashiwara discovered crystal bases which allowed mathematicians to replace complex calculations with much simpler graphs of vertices connected by lines. Story continues below this ad ...

Laser Biomedical Research Center, G. R. Harrison Spectroscopy Laboratory, Massachusetts Institute of Technology, Cambridge, United States ...