Australia reconsiders research plans

Research Plans

My research activity so far seems to lie in two main areas, which I have called noncommutative algebra and concrete mathematics for the purposes of this summary. The following contains a description of past research and a discussion of topics on which (at date of writing) I think I would work in the next few years, if I were on a desert island (with a reasonable library). Of course, things have...

France rethinks research plans

Three months can be a very long time when a revolution is on the roll and history is being made. On January 7, French researchers launched an internet petition under the title Sauvons la Recherche! (Let's Save Research!) asking the government to unfreeze funds, create new jobs and allow them a say in the legislation to reform science (Curr. Biol. (2004). 14, R139). By April 7, the research mini...

Research Summary and Plans

Since my graduate work and throughout my postdoctoral career, I have been interested in hyperbolic dynamical systems, more precisely Anosov flows. Roughly speaking, a smooth flow ft on a closed Riemannian manifold M is called Anosov if the tangent bundle of M splits into three continuous sub-bundles, TM = E⊕E⊕E, such that E is tangent to the flow direction, E is exponentially contracted and E i...

Research Overview and Plans

Research Accomplishments and Plans

In my research I apply tools from model theory, a branch of mathematical logic, to study sets obtained from certain integral manifolds. (A good reference for Model Theory is [8].) This program has two central aspects: (1) I extend results that are known to be true on the ordered field of real numbers R := 〈R,+,×, <, 0, 1〉 to larger classes of real closed fields, and (2) I then use model theoret...