In this Wednesday night section for Algebraic Number Theory, we will go through basic facts about one dimensional formal groups and hopefully get to see how they might be useful and interesting. All rings are commutative with identity. The sources of this material are my notes from Elliptic Curves, a course taught by Tom Fisher at Cambridge last year, J. Silverman’s Elliptic Curves Book. A few ...

BACKGROUND Recent studies suggest that human auditory perception follows a prolonged developmental trajectory, sometimes continuing well into adolescence. Whereas both sensory and cognitive accounts have been proposed, the development of the ability to base current perceptual decisions on prior information, an ability that strongly benefits adult perception, has not been directly explored. Here...

Depth psychology finds empirical validation today in a variety of observations that suggest the presence of causally effective mental processes outside conscious experience. I submit that this is due to misinterpretation of the observations: the subset of consciousness called "meta-consciousness" in the literature is often mistaken for consciousness proper, thereby artificially creating space f...

The need for due process and the desire to achieve efficiency is an everpersistent tension in administrative law. With the amazing growth of the administrative state, striking the right balance has proven difficult. The Supreme Court’s jurisprudence in this area has attempted to guarantee due process while taking into consideration the practical difficulties of maintaining an administrative sta...

I t is hoped that artificial photosynthetic systems will one day be able to harness some of the energy in sunlight for applications such as solar energy, optoelectronics and molecular machines. For this to happen, however, these systems must be able to harvest the light, separate the electrons and ‘holes’ formed when the light is absorbed, and then transport these charges to places where they a...

For the past 40 years, the Clark classification of cutaneous melanoma has been accepted and used by the vast majority of dermatologists and pathologists throughout the world. However,after careful rereading of the most relevant articles by Clark and his collaborators, we can affirm that the classification was only ever of passing validity. Today, the possible morphological differences between o...

Professor Arras' article' provides a fascinating and persuasive account of an important shift in bioethics. The move from theory-based systems of ethics to narrative-based systems of ethics is paralleled by shifts in several related fields. In legal theory, one can see this development in the rise of legal pragmatism and the questioning of abstract and comprehensive theories, whether those theo...