Prostate cancer is an age-associated epithelial cancer, and as such, it contributes significantly to the mortality of the elderly. Senescence is one possible mechanism by which the body defends itself against various epithelial cancers. Senescent cells alter the microenvironment, in part, through changes to the extracellular matrix. Laminins (LMs) are extracellular proteins important to both th...

Despite falling into seemingly contrasting disciplines of art and science, music lends itself surprisingly well to mathematical interpretation and understanding. The appearance of symmetry and repetition of some central theme is extremely common in musical composition and group theory provides us with the ideal tools with which to study this. This project finds its roots in the music composed b...

We consider a principal-agent model with moral hazard where the agent’s knowledge about the performance measure is ambiguous and he is averse towards ambiguity. We show that the principal may optimally provide no incentives or contract only on a subset of all informative performance measures. That is, the Informativeness Principle does not hold in our model. These results stand in stark contras...

The (symmetric) genus of a finite group may be defined as the smallest genus of those closed orientable surfaces on which G acts faithfully as a group of automorphisms. In this paper the genus of each of the five Mathieu groups Mn, M12, M22, M23 and M24 is determined, with the help of some computer calculations and a little-known theorem of Ree on permutations.

The sporadic Mathieu group M12 can be viewed as an errorcorrecting code, where the codewords are the group’s elements written as permutations in list form, and with the usual Hamming distance. We investigate the properties of this group as a code, in particular determining completely the probabilities of successful and ambiguous decoding of words with more than 3 errors (which is the number tha...