Christopher Curtis (1939–2008)

Christopher Love

12.091 Medical Geology/Geochemistry: Element Report IAP 2006, 01/30/2006 Christopher Love Introduction If you have ever looked carefully at your commercial container of salt sitting in the cupboard, then you have noticed that it is iodized. Have you ever wondered what that means, or why it is mentioned? The simple answer to these questions is that a form of the element, iodine, is added to the ...

Christopher Elliott

QnAs with Christopher Monroe.

Classic computing can take credit for technology ranging from mobile phones to supercomputers. But in recent years, a budding counterpart to these conventional devices has emerged: quantum computers. Whereas classic computing sometimes fails to solve complex calculations, such as factoring hundred-digit numbers, quantum computing holds the potential to easily tackle such problems. The field of ...

Stochastic Discrete Clenshaw-Curtis Quadrature

The partition function is fundamental for probabilistic graphical models—it is required for inference, parameter estimation, and model selection. Evaluating this function corresponds to discrete integration, namely a weighted sum over an exponentially large set. This task quickly becomes intractable as the dimensionality of the problem increases. We propose an approximation scheme that, for any...

The Finitary Andrews-Curtis Conjecture

The well known Andrews-Curtis Conjecture [2] is still open. In this paper, we establish its finite version by describing precisely the connected components of the Andrews-Curtis graphs of finite groups. This finite version has independent importance for computational group theory. It also resolves a question asked in [5] and shows that a computation in finite groups cannot lead to a counterexam...