Coleman B. Ransone, Jr.

Coleman progress

As we mark the centenary of Albert Einstein’s seminal contribution to both quantum mechanics and special relativity, we approach another anniversary — that of Einstein’s foundation of the quantum theory of solids. But 100 years on, the same experimental measurement that puzzled Einstein and his contemporaries is forcing us to question our understanding of how quantum matter transforms at ultra-...

Coleman pages

Estimation of a consistent volatility model of the underlying is crucial for option hedging. The authors illustrate that, compared to the implied/constant volatility method, a local volatility function method can estimate the underlying volatility from option prices more consistently. The result is more accurate hedge parameters and smaller hedging errors. The evidence provided includes an exam...

Thinking with the Coleman Boat

On the Coleman-Hill Theorem

The Coleman-Hill theorem prohibits the appearance of radiative corrections to the topological mass (more precisely, to the parity-odd part of the vacuum polarization tensor at zero momentum) in a wide class of abelian gauge theories in 2+1 dimensions. We re-express the theorem in terms of the effective action rather than in terms of the vacuum polarization tensor. The theorem so restated become...

On a Theorem of Coleman

A simplified method of descent via isogeny is given for Jacobians of curves of genus 2. This method is then used to give applications of a theorem of Coleman for computing all the rational points on certain curves of genus 2. 0 Introduction The following classical result of Chabauty [3] is a curiosity of the literature in that there has been a 50 year period during which applications have been ...