This talk will cover two different applications in the study of Hilbert Series. One is in the text book problem of the massive spectrum of the perturbative string in 10 dimensions. We will write the well known partition function in a new form which is covariant under the little group for massive representations. A second application is in the study of flavor invariants in the standard model. We will compute and count all possible invariants which can be constructed from various mass matrices. These two applications are examples of a larger program in which one can use Hilbert series for a collection of problems in physics. .. (Room EB1 is on the lower ground floor of the Queens' building, which is just in front of the Physics building. It's signed as number 16 on the map http://www.qmul.ac.uk/docs/about/26065.pdf The most convenient entrance is on the east side (again just in front of the Physics building): you go down the stairs to the LG floor and then the room is on your right.)